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You are a highly experienced, conscientious, and fair academic reviewer, please help me review this paper. The review should be organized into nine sections: 1. Summary: A summary of the paper in 100-150 words. 2. Strengths/Weaknesses/Questions: The Strengths/Weaknesses/Questions of paper, which should be listed in bullet points, with each point supported by specific examples from the article where possible. 3. Soundness/Contribution/Presentation: Rate the paper's Soundness/Contribution/Presentation, and match this score to the corresponding description from the list below and provide the result. The possible scores and their descriptions are: 1 poor 2 fair 3 good 4 excellent 4. Rating: Give this paper an appropriate rating, match this rating to the corresponding description from the list below and provide the result. 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Here is the template for a review format, you must follow this format to output your review result: **Summary:** Summary content **Strengths:** - Strength 1 - Strength 2 - ... **Weaknesses:** - Weakness 1 - Weakness 2 - ... **Questions:** - Question 1 - Question 2 - ... **Soundness:** Soundness result **Presentation:** Presentation result **Contribution:** Contribution result **Rating:** Rating result **Paper Decision:** - Decision: Accept/Reject - Reasons: reasons content Please ensure your feedback is objective and constructive. The paper is as follows: # Explaining V1 Properties with a Biologically Constrained Deep Learning Architecture Galen Pogoncheff Department of Computer Science University of California, Santa Barbara Santa Barbara, CA 93106 [email protected] Jacob Granley Department of Computer Science University of California, Santa Barbara Santa Barbara, CA 93106 [email protected] Michael Beyeler Department of Computer Science Department of Psychological & Brain Sciences University of California, Santa Barbara Santa Barbara, CA 93106 [email protected] ###### Abstract Convolutional neural networks (CNNs) have recently emerged as promising models of the ventral visual stream, despite their lack of biological specificity. While current state-of-the-art models of the primary visual cortex (V1) have surfaced from training with adversarial examples and extensively augmented data, these models are still unable to explain key neural properties observed in V1 that arise from biological circuitry. To address this gap, we systematically incorporated neuroscience-derived architectural components into CNNs to identify a set of mechanisms and architectures that more comprehensively explain V1 activity. Upon enhancing task-driven CNNs with architectural components that simulate center-surround antagonism, local receptive fields, tuned normalization, and cortical magnification, we uncover models with latent representations that yield state-of-the-art explanation of V1 neural activity and tuning properties. Moreover, analyses of the learned parameters of these components and stimuli that maximally activate neurons of the evaluated networks provide support for their role in explaining neural properties of V1. Our results highlight an important advancement in the field of NeuroAI, as we systematically establish a set of architectural components that contribute to unprecedented explanation of V1. The neuroscience insights that could be gleaned from increasingly accurate in-silico models of the brain have the potential to greatly advance the fields of both neuroscience and artificial intelligence. ## 1 Introduction Many influential deep learning architectures and mechanisms that are widely used today, such as convolutional neural networks (CNNs) [1] and mechanisms of attention [2, 3, 4, 5], draw inspiration from biological intelligence. Despite decades of research into computational models of the visual system, our understanding of its complexities remains far from complete. Existing neuroscientific models of the visual system (e.g., generalized linear-nonlinear models [6, 7, 8, 9]) are often founded upon empirical observations from relatively small datasets, and are therefore unlikely to capture the true complexity of the visual system. While these models have successfully explained many properties of neural response to simple stimuli, their simplicity does not generalize to complex image stimuli [10]. Following their astounding success in computer vision, task-driven CNNs have recently been proposed as candidate models of the ventral stream in primate visual cortex [11, 12, 13, 14, 15], offering a path towards models that can explain hidden complexities of the visual system and generalize to complex visual stimuli. Through task-driven training alone (and in some cases, training a linear read-out layer [12, 13, 14, 15, 16, 17]), representations that resemble neural activity at multiple levels of the visual hierarchy have been observed in these models [16]. With the emergence of such properties, CNNs are already being used to enhance our knowledge of processing in the ventral stream [18]. Despite these advancements, CNNs that achieve state-of-the-art brain alignment are still unable to explain many properties of the visual system. Most traditional CNNs omit many well known architectural and processing hallmarks of the primate ventral stream that are likely key to the development of artificial neural networks (ANNs) that help us decipher the neural code. The development of these mechanisms remains an open challenge. A comprehensive understanding of neural processing in the brain (for instance, in the ventral stream) could in turn contribute to significant leaps in artifical intelligence (AI) - an established goal of NeuroAI research [19, 20]. In this work, we take a systematic approach to analyzing the hallmarks of the primate ventral stream that improve model-brain similarity of CNNs. We formulate architectural components that simulate these processing hallmarks within CNNs and analyze the population-level and neuron-level response properties of these networks, as compared to empirical data recorded in primates. Specifically: * We enrich the classic ResNet50 architecture with architectural components based on neuroscience foundations that simulate cortical magnification, center-surround antagonism, local filtering, and tuned divisive normalization and show that the resulting network achieves top V1-overall score on the integrative Brain-Score benchmark suite [16]. * Although some of these components have been studied before in isolation, here we demonstrate their synergistic nature through a series of ablation studies that reveal the importance of each component and the benefits of combining them into a single neuro-constrained CNN. * We analyze the network parameters and stimuli that activate neurons to provide insights into how these architectural components contribute to explaining primary visual cortex (V1) activity in non-human primates. ## 2 Background and Related Work Model-Brain AlignmentOne central challenge in the field of NeuroAI is the development of computational models that can effectively explain the neural code. To achieve this goal, artificial neural networks must be capable of accurately predicting the behavior of individual neurons and neural populations in the brain. The primary visual cortex (V1) is one of the most well studies areas of the visual system, with modeling efforts dating back to at least 1962 [21]--yet many deep learning models still fall short in explaining its neural activity. The Brain-Score integrative benchmark [16] has recently emerged as a valuable tool for assessing the capabilities of deep learning models to explain neural activity in the visual system. This suite of benchmarks integrates neural recording and behavioral data from a collection of previous studies and provides standardized metrics for evaluating model explainability of visual areas V1, V2, V4, and IT, as well as additional behavioral and engineering benchmarks. Although CNNs draw high-level inspiration from neuroscience, current architectures (e.g., ResNet [22] and EfficientNet [23]) bear little resemblance to neural circuits in the visual system. While such differences may not necessarily hinder object recognition performance, these networks still fall short in mimicking many properties of highly capable visual systems. Although there may be many paths towards next-generation AI, foundational studies that have successfully merged foundations of neuroscience and AI have shown promising improvements to traditional ANNs [24, 25, 26]. Center-Surround AntagonismAs early as in the retina, lateral inhibitory connections establish a center-surround antagonism in the receptive field (RF) of many retinal cell types, which is preserved by neurons in the lateral geniculate nucleus and the visual cortex. In the primate visual system, this center-surround antagonism is thought to facilitate edge detection, figure-ground segregation, depth perception, and cue-invariant object perception [27, 28, 29, 30], and is therefore a fundamental property of visual processing. Center-surround RFs are a common component of classical neuroscience models [31, 32, 33], where they are typically implemented using a Difference of Gaussian (DoG) that produces an excitatory peak at the RF center with an inhibitory surround (Fig. 1A). Although deep CNNs have the capacity to learn center-surround antagonism, supplementing traditional convolutional kernels with fixed-weight DoG kernels has been demonstrated to improve object recognition in the context of varied lighting, occlusion, and noise [34, 35]. Local Receptive FieldsThe composition of convolutional operations in CNNs enables hierarchical processing and translation equivariance, both of which are fundamental to core object recognition in the primate ventral visual stream. However, the underlying mechanism through which this is achieved is biologically implausible, as kernel weights are shared among downstream neurons. Though locally connected neural network layers can theoretically learn the same operation, traditional convolutions are typically favored in practice for their computational efficiency and performance benefits. However, local connectivity is a ubiquitous pattern in the ventral stream (Fig. 1B), and visual processing phenomena (e.g., orientation preference maps [36]) have been attributed to this circuitry pattern. In artificial neural systems, Lee _et al._[37] observed the emergence of topographic hallmarks in the inferior temporal cortex when encouraging local connectivity in CNNs. Pogodin _et al._[38] considered the biological implausibility of CNNs and demonstrated a neuro-inspired approach to reducing the performance gap between traditional CNNs and locally-connected networks, meanwhile achieving better alignment with neural activity in primates. Divisive NormalizationDivisive normalization is wide-spread across neural systems and species [39]. In early visual cortex, it is theorized to give rise to well-documented physiological phenomena, such as response saturation, sublinear summation of stimulus responses, and cross-orientation suppression [40]. In 2021, Burg and colleagues [41] introduced an image-computable divisive normalization model in which each artificial neuron was normalized by weighted responses of neurons with the same receptive field. In comparison to a simple 3-layer CNN trained to predict the same stimulus responses, their analyses revealed that cross-orientation suppression was more prevalent in the divisive normalization model than in the CNN, suggesting that divisive normalization may not be inherently learned by task-driven CNNs. In a separate study, Cirincione _et al._[42] showed that simulating divisive normalization within a CNN can improve object recognition robustness to image corruptions and enhance alignment with certain tuning properties of primate V1. Tuned Normalization/Cross-Channel InhibitionWhile it is not entirely clear whether divisive normalization should be performed across space and/or across channels in computational models (implementations vary widely), Rust _et al._[43] demonstrated that many response properties of motion-selective cells in the middle temporal area, such as motion-opponent suppression and response normalization, emerge from a mechanism they termed "tuned normalization". In this scheme, a given neuron is normalized by a pool of neurons that share the same receptive field but occupy a different region in feature space. We adopt this idea in the present work (Fig. 1C), hypothesizing that enforcing feature-specific weights in the pooling signal might enable a deep net to learn "opponent suppression" signals, much like cross-orientation signals found in biological V1 [44, 45]. Figure 1: Design patterns of neuro-constrained architectural components. A) Difference of Gaussian implements a center-surround receptive field. B) Local receptive fields of two neurons without weight sharing. C) Tuned divisive normalization inhibits each feature map by a Gaussian-weighted average of competing features. D) Log-polar transform simulating cortical magnification Cortical MagnificationIn many sensory systems, a disproportionately large area of the cortex is dedicated to processing the most important information. This phenomenon, known as cortical magnification, reflects the degree to which the brain dedicates resources to processing sensory information accompanying a specific sense. In the primary visual cortex, a larger proportion of cortical area processes visual stimuli presented at the center of the visual field as compared to stimuli at greater spatial eccentricities [46]. The relationship between locations in the visual field and corresponding processing regions in the visual cortex has commonly been modeled with a log-polar mapping (Fig. 1D) or derivations thereof [47; 48; 49; 50]. Layers of artificial neurons of traditional CNNs have uniform receptive field sizes and do not exhibit any sort of cortical magnification, failing to capture these distinctive properties of neuronal organization in the primary visual cortex. Recent works have demonstrated that introducing log polar-space sampling into CNNs can give rise to improved invariance and equivariance to spatial transformations [51; 52] and adversarial robustness [53]. ## 3 Methods ### Neuro-Constrained CNN Architecture Given the previous state-of-the-art V1 alignment scores achieved with ResNet50 [25], we adopted this architecture as our baseline and test platform. However, the architectural components that we considered in the work are modular and can be integrated into general CNNs architectures. The remainder of this subsection details the implementation and integration of each architectural component within a neuro-constrained ResNet. In all experiments, we treated the output units from ResNet50 layer 1 as "artificial V1" neurons (refer to Section 3.2 for layer selection criteria). Fig. 2 depicts ResNet50 layer 1 after enhancement with neuroscience-based architectural components. Code and materials required to reproduce the presented work are available at github.com/bionicvisionlab/2023-Pogoncheff-Explaining-V1-Properties. Center-Surround AntagonismCenter-surround ANN layers are composed of DoG kernels of shape \((c_{i}\times c_{o}\times k\times k)\), where \(c_{i}\) and \(c_{o}\) denote the number of input and output channels, respectively, and \(k\) reflects the height and width of each kernel. These DoG kernels (Fig. 1A) are convolved with the pre-activation output of a standard convolution. Each DoG kernel, \(DoG_{i}\) is of the form \[\mathrm{DoG}_{i}(x,y)=\frac{\alpha}{2\pi\sigma_{i,\mathrm{center}}^{2}}\exp \Big{(}-\frac{x^{2}+y^{2}}{2\sigma_{i,\mathrm{center}}^{2}}\Big{)}-\frac{ \alpha}{2\pi\sigma_{i,\mathrm{surround}}^{2}}\exp\Big{(}-\frac{x^{2}+y^{2}}{2 \sigma_{i,\mathrm{surround}}^{2}}\Big{)}, \tag{1}\] where \(\sigma_{i,\mathrm{center}}\) and \(\sigma_{i,\mathrm{surround}}\) were the Gaussian widths of the center and surround, respectively (\(\sigma_{i,\mathrm{center}}<\sigma_{i,\mathrm{surround}}\)), \(\alpha\) was a scaling factor, and \((x,y):=(0,0)\) at the kernel center. For \(\alpha>0\) the kernel will have an excitatory center and inhibitory surround, while \(\alpha<0\) results in a kernel with inhibitory center and excitatory surround. Novel to this implementation, each DoG kernel has learnable parameters, better accommodating the diverse tuning properties of neurons within the network. As in [34; 35], these DoG convolutions were only applied to a fraction of the input feature Figure 2: ResNet50 layer 1, supplemented with neuro-constrained architectural components. Throughout the the modified layer 1, primary visual cortex (V1) activity is modeled with cortical magnification, center-surround convolutions, tuned normalization, and local receptive field layers. Layer 1 output units are treated as artificial V1 neurons. map. Specifically, we applied this center-surround convolution to one quarter of all \(3\times 3\) convolutions in layer 1 of our neuro-constrained ResNet50. Local Receptive FieldsTo untangle the effects of local connectivity on brain alignment, we modified the artificial V1 layer by substituting the final \(3\times 3\) convolution of ResNet50 layer 1 with a \(3\times 3\) locally connected layer in isolation. This substitution assigns each downstream neuron its own filter while preserving its connection to upstream neurons (Fig. 1B), following the pattern in [38]. Divisive NormalizationWe consider the divisive normalization block proposed in [42] which performs normalization both spatially and across feature maps using learned normalization pools. Following our experimental design principle of selectively modifying the network in the vicinity of the artificial V1 neurons, we added this divisive normalization block after the non-linear activation of each residual block in ResNet50 layer 1. Tuned NormalizationWe devised a novel implementation of tuned normalization inspired by models of opponent suppression [31, 43, 44]. In this scheme, a given neuron is normalized by a pool of neurons that share the same receptive field but occupy a different region in feature space (Fig. 1C), as in [41, 42]. Unlike the learned, weighted normalization proposed in [41], tuned inhibition was encouraged in our implementation by enforcing that each neuron was maximally suppressed by a neuron in a different region of feature space, and that no other neuron is maximally inhibited by activity in this feature space. Letting \(x_{i,j}^{c}\) denote the activity of the neuron at spatial location \((i,j)\) and channel \(c\in[1,C]\) after application of a non-linear activation function. The post-normalization state of this neuron, \(x_{i,j}^{rc}\), is given by: \[x_{i,j}^{rc}=\frac{x_{i,j}^{c}}{1+\sum_{k}p_{k}x_{i,j}^{c_{k}}}, \tag{2}\] where \(p_{c,1},\dots,p_{c,C}\) defines a Gaussian distribution with variance \(\sigma_{c}^{2}\) centered at channel \((c+\frac{C}{2})\) mod \(C\). By defining \(\sigma_{c}^{2}\) as a trainable parameter, task-driven training would optimize whether each neuron should be normalized acutely or broadly across the feature space. As this mechanism preserves the dimension of the input feature map, it can follow any non-linear activation function of the core network without further modification to the architecture. Similar to the divisive normalization block, tuned normalization was added after the non-linear activation of each residual block in ResNet50 layer 1 in our experiments. Cortical MagnificationCortical magnification and non-uniform receptive field sampling was simulated in CNNs using a differentiable polar sampling module (Fig. 1D). In this module, the spatial dimension of an input feature map are divided into polar regions defined by discrete radial and angular divisions of polar space. In particular, we defined a discrete polar coordinate system partitioned in the first dimension by radial partitions \(r_{0},r_{1},...,r_{m}\) and along the second dimension by angular partitions \(\theta_{0},\theta_{1},...,\theta_{n}\). Pixels of the input feature map that are located within the same polar region (i.e., are within the same radial bounds \([r_{i},r_{i+1})\) and angular bounds \([\theta_{j},\theta_{j+1})\)) are pooled and mapped to coordinate \((i,j)\) of the original pixel space (Fig. 1D) [54]. Pixels in the output feature map with no associated polar region were replaced with interpolated pixel values from the same radial bin. By defining the spacing between each concentric radial bin to be monotonically increasing (i.e., for all \(i\in[1,m-1]\), \((r_{i}-r_{i-1})\leq(r_{i+1}-r_{i})\)), visual information at lower spatial eccentricities with respect to the center of the input feature map consumes a larger proportion of the transformed feature map than information at greater eccentricities (Fig. F.1). A notable result of this transformation is that any standard 2D convolution, with a kernel of size \(k\times k\), that is applied to the the transformed features space is equivalent to performing a convolution in which the kernel covers a \(k\times k\) contiguous region of polar space and strides along the angular and radial axes. Furthermore, downstream artificial neurons which process information at greater spatial eccentricities obtain larger receptive fields. Treating the CNN as a model of the ventral visual stream, this polar transformation immediately preceded ResNet50 layer 1 (replacing the first max-pooling layer), where V1 representations were assumed to be learned. ### Training and Evaluation Training ProcedureV1 alignment was evaluated for ImageNet-trained models [55]. For all models, training and validation images were downsampled to a resolution of \(64\times 64\) in consideration of computational constraints. Each model of this evaluation was randomly initialized and trained for 100 epochs with an initial learning rate of \(0.1\) (reduced by a factor of \(10\) at epochs \(60\) and \(80\), where validation set performance was typically observed to plateau) and a batch size of \(128\). We additionally benchmarked each neuro-constrained model on the Tiny-ImageNet-C dataset to study the effect of V1 alignment on object recognition robustness [56] (evaluation details provided in Appendix H). Tiny-ImageNet-C was used as an alternative to ImageNet-C given that the models trained here expected \(64\times 64\) input images and downsampling the corrupted images of ImageNet-C would have biased our evaluations. ImageNet pre-trained models were fine-tuned on Tiny-ImageNet prior to this evaluation. As a given model will learn alternative representations when trained on different datasets (thereby resulting in V1 alignment differences), we methodologically froze all parameters of each ImageNet trained model, with the exception of the classification head, prior to 40 epochs of fine tuning with a learning rate of \(0.01\) and a batch size of \(128\). Validation loss and accuracy were monitored during both training procedures. The model state that enabled the greatest validation accuracy during training was restored for evaluations that followed. Training data augmentations were limited to horizontal flipping (ImageNet and Tiny-ImageNet) and random cropping (ImageNet). Training was performed using single NVIDIA 3090 and A100 GPUs. Each model took approximately 12 hours to train on ImageNet and less than 30 minutes to fine-tune on Tiny-ImageNet. Evaluating V1 AlignmentWe evaluated the similarity between neuro-constrained models of V1 and the primate primary visual cortex using the Brain-Score V1 benchmark [16]. The V1 benchmark score is an average of two sub-metrics: 'V1 FreemanZiemba2013' and 'V1 Marques2020', which we refer to as V1 Predictivity and V1 Property scores in what follows. For each metric, the activity of artificial neurons in a given neural network layer is computed using in-silico neurophysiology experiments. The V1 Predictivity score reflects the degree to which the model can explain the variance in stimulus-driven responses of V1 neurons, as determined by partial least squares regression mapping. The V1 Property score measures how closely the distribution of \(22\) different neural properties, from \(7\) neural tuning categories (orientation, spatial frequency, response selectivity, receptive field size, surround modulation, texture modulation, and response magnitude), matches between the model's artificial neural responses and empirical data from macaque V1. Together, these two scores provide a comprehensive view of stimulus response similarity between artificial and primate V1 neurons. Brain-Score evaluations assume a defined mapping between units of an ANN layer and a given brain region. In all analyses of V1 alignment that follow, we systematically fixed the output neurons of ResNet50 layer 1 as the artificial V1 neurons. Note that this is a more strict rule than most models submitted to the Brain-Score leaderboard, as researchers are able to choose which layer in the deep net should correspond to the V1 readout. In baseline analyses, among multiple evaluated layers, we observed highest V1 alignment between artificial units and primate V1 activity from layer 1, establishing it as a strong baseline. Alternative layer V1 scores are presented in Appendix B. ## 4 Results ### Architectural Components in Isolation Patterns of neural activity observed in the brain can be attributed to the interplay of multiple specialized processes. Through an isolated analysis, our initial investigations revealed the contribution of specialized mechanisms to explaining patterns of neural activity in V1. Tables 1 and 2 present the results of this analysis, including ImageNet validation accuracy, V1 Overall, V1 Predictivity, and V1 Property scores. Among the five modules evaluated in this analysis, cortical magnification emerged as the most influential factor in enhancing V1 alignment. This mechanism substantially improved the ResNet's ability to explain the variance in stimulus responses, and the artificial neurons exhibited tuning properties that were more closely aligned with those of biological neurons, particularly in terms oforientation tuning, spatial frequency tuning, response selectivity, and most of all, stimulus response magnitude. However, the artificial neuronal responses of the cortical magnification network showed lower resemblance to those observed in primate V1 with regard to surround modulation, as compared to the baseline network. Simulating neural normalization within the ResNet resulted in artificial neurons that displayed improved alignment with primate V1 in terms of response properties. Noteworthy enhancements were observed in the spatial frequency, receptive field size, surround modulation, and response magnitude properties of neurons within the modified network, leading to improvements in the V1 Property score. These results applied to both tuned and untuned forms of normalization. In contrast, the introduction of center-surround convolutions yielded minimal improvements in neural predictivity and slight reductions in overall neuron property similarity. Surprisingly, the surround modulation properties of the artificial neurons decreased compared to the baseline model, contrary to our expectations. Finally, replacing the final \(3\times 3\) convolution preceding the artificial V1 readout with a locally connected layer resulted in modest changes in V1 alignment. This was one of the two mechanisms that led to improvements in the surround modulation response property score (tuned normalization being the other). These findings collectively provide valuable insights into the individual contributions of each specialized mechanism. Although mechanisms simulating center-surround antagonism (i.e., DoG convolution) and local connectivity provide little benefit to overall predictivity and property scores in isolation, we observed that they reduce the property dissimilarity gap among tuning properties that are nonetheless important and complement alignment scores where divisive normalization and cortical magnification do not. ### Complementary Components Explain V1 Activity Constraining a general-purpose deep learning model with a single architectural component is likely insufficient to explain primate V1 activity given our knowledge that a composition of known circuits play pivotal roles in visual processing. This was empirically observed in Section 4.1, wherein cortical \begin{table} \begin{tabular}{l r r r r r} & \multicolumn{1}{c}{ImageNet Acc} & \multicolumn{1}{c}{V1 Overall} & \multicolumn{1}{c}{V1 Predictivity} & \multicolumn{1}{c}{V1 Property} \\ \hline Center-surround antagonism & \(.610\pm.001\) & \(.545\pm.002\) & \(.304\pm.016\) & \(.786\pm.018\) \\ Local receptive fields & \(.609\pm.001\) & \(.550\pm.006\) & \(.300\pm.002\) & \(.799\pm.012\) \\ Divisive normalization & \(.606\pm.001\) & \(.543\pm.003\) & \(.271\pm.014\) & \(.815\pm.011\) \\ Tuned normalization & \(.608\pm.002\) & \(.547\pm.004\) & \(.274\pm.004\) & \(.820\pm.009\) \\ Cortical magnification & \(.548\pm.008\) & \(.587\pm.014\) & \(.370\pm.008\) & \(.805\pm.021\) \\ ResNet50 (Baseline) & \(.613\pm.002\) & \(.550\pm.004\) & \(.295\pm.003\) & \(.805\pm.011\) \\ \end{tabular} \end{table} Table 1: ImageNet object recognition classification performance (\(64\times 64\) images) and primary visual cortex (V1) alignment scores of ResNet50 augmented with each architectural component. Mean and standard deviations are reported across three runs (random initialization, training, and evaluating) of each architecture. Scores higher than baseline are presented in green and those lower are presented in red (the more saturated the color is, the greater the difference from baseline). \begin{table} \begin{tabular}{l r r r r r r} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\ & \multicolumn{1}{c}{Orientation} & \multicolumn{1}{c}{frequency} & \multicolumn{1}{c}{selectivity} & \multicolumn{1}{c}{RF size} & \multicolumn{1}{c}{modulation} & \multicolumn{1}{c}{modulation} & \multicolumn{1}{c}{magnitude} \\ \hline Center-surround & \(.876\pm.027\) & \(.831\pm.030\) & \(.632\pm.012\) & \(.853\pm.046\) & \(.743\pm.027\) & \(.757\pm.025\) & \(.783\pm.024\) \\ Local receptive fields & \(.904\pm.021\) & \(.817\pm.016\) & \(.648\pm.008\) & \(.852\pm.054\) & \(.847\pm.083\) & \(.743\pm.036\) & \(.780\pm.022\) \\ Divisive normalization & \(.908\pm.017\) & \(.840\pm.014\) & \(.689\pm.007\) & \(.858\pm.046\) & \(.860\pm.070\) & \(.746\pm.030\) & \(.86\pm.019\) \\ Tuned normalization & \(.907\pm.035\) & \(.841\pm.013\) & \(.689\pm.023\) & \(.865\pm.031\) & \(.852\pm.020\) & \(.742\pm.029\) & \(.844\pm.015\) \\ Cortical magnification & \(.907\pm.037\) & \(.848\pm.039\) & \(.708\pm.011\) & \(.808\pm.044\) & \(.858\pm.020\) & \(.789\pm.058\) & \(.915\pm.041\) \\ ResNet50 (Baseline) & \(.803\pm.023\) & \(.826\pm.048\) & \(.684\pm.059\) & \(.832\pm.080\) & \(.820\pm.009\) & \(.786\pm.058\) & \(.790\pm.042\) \\ \end{tabular} \end{table} Table 2: Model alignment across the seven primary visual cortex (V1) tuning properties that constitute the V1 Property score. Mean and standard deviation of scores observed across three trials of model training and evaluation are reported. magnification was the only architectural component found to improve the overall V1 alignment score. Taking inspiration from this design principle, we supplemented a ResNet50 with each architectural component and discern the necessary components to achieve optimal V1 alignment in an ablation study. We omitted the architectural component implementing divisive normalization, however, as it cannot be integrated simultaneously with tuned normalization, which was observed to yield slightly higher V1 Predictivity and Property scores in isolated component evaluation. Starting with a ResNet which features all of these architectural components, we employed a greedy approach reminiscent of backward elimination feature selection to deduce critical components without having to evaluate every permutation of component subsets. In each round of this iterative approach, we selectively removed the architectural component that reduced overall V1 alignment the most until only one feature remained. This analysis allowed us to identify the subset of components that collectively yielded the most significant improvements in V1 alignment, and unraveled the intricate relationship between these specialized features and their combined explanation of V1. The results of the ablation study are presented in Table 3. With the exception of center-surround antagonism, removing any neural mechanisms from the modified residual network reduced overall V1 alignment, suggesting that (1) each architectural component contributed to V1 alignment (the utility of center-surround antagonism is detailed in Section 4.5) and (2) nontrivial interactions between these mechanisms explain V1 more than what is possible with any single mechanism. Seven of the eight models evaluated in this ablation study substantially outperformed all existing models on the Brain-Score platform in modeling V1 tuning property distributions. Furthermore, four models were observed to achieve state-of-the-art V1 Overall scores, explaining both V1 stimulus response activity and neural response properties with high fidelity. Whether or not feed-forward, ImageNet-trained ANNs can fully approximate activity in primate V1 has stood as an open question. Previous studies have argued that no current model is capable of explaining all behavioral properties using neurons from a single readout layer [17]. The top performing models of the current evaluation stand out as the first examples of CNNs with neural representations that accurately approximate all evaluated V1 tuning properties (Appendix C), offering positive evidence for the efficacy of explaining primate V1 with neuro-inspired deep learning architectures. Regarding local receptive fields, we hypothesized that removing weight sharing would enable a greater diversity of response selectivity patterns to be learned. While multi-component ablation studies revealed a reduction in response selectivity property scores when local filtering was omitted, the same finding was surprisingly not observed in the single-component analyses of Section 4.1. Given the inter-neuron competition enforced by tuned normalization, one would expect networks with this component to learn more diverse artificial V1 representations. Analyses of the visual stimuli that maximally activated artificial neurons of these networks (i.e., optimized visual inputs that maximally excite neurons of each channel of the artificial V1 layer, computed via stochastic gradient ascent) provide evidence for this. Quantitatively, we found that the mean Learned Perceptual Image Patch Similarity (LPIPS) [57] between pairs of maximally activating stimuli of the tuned normalization network was less than that of the baseline ResNet50 network (\(p<0.01\), one-way ANOVA [58]). We suggest that this learned feature diversity contributed to the improvements in spatial frequency, response selectivity, receptive field size, surround modulation, and response magnitude tuning property scores when tuned normalization was present. Finally, given the retinotopic organization of V1, we hypothesized that cortical magnification would give rise to better-aligned response selectivity and receptive field size tuning distributions, meanwhile improving V1 neuron predictivity. In each trial of our ablation studies for which cortical magnification was removed, these respective scores dropped, supporting this hypothesis. ### Object Recognition Robustness to Corrupted Images In contrast with the human visual system, typical CNNs generalize poorly to out-of-distribution data. Small perturbations to an image can cause a model to output drastically different predictions than it would on the in-tact image. Recent studies have demonstrated a positive correlation between model-brain similarity and robustness to image corruptions [24; 25; 26; 42; 59] After fine-tuning each model's classification head on Tiny-ImageNet (see Section 3.2), we evaluated the object recognition accuracy of each model from Section 4.1 and the top two overall models from Section 4.2 on the Tiny-ImageNet-C dataset. The results of these evaluations for each category of corruption and corruption strength are provided in Appendix H. Among the evaluated components, only tuned normalization was observed to yield improved corrupt image classification accuracy over the entire test set, albeit slight, beating the baseline accuracy (\(0.278\)) by \(0.005\) (i.e., an absolute improvement of \(.5\%\)). More substantial improvements were observed on 'brightness', 'defocus_blur', 'elastic_transform', and 'pixelate' corruptions (improvements over the baseline of.00986,.00989,.0105, and.0133, respectively). ### Adversarially Training Neuro-Constrained ResNets Adversarial training has previously been shown to enhance the brain-similarity of artificial neural representations without any modification to the underlying network [60; 25]. Curious as to whether adversarial training would further align the neuro-constrained ResNet50s with V1 activity, we selectively trained the two networks most aligned with V1 (one model with all architectural components and the other with all components except center-surround convolution) from Section 4.2 using "Free" adversarial training [61] (Appendix G). The results are shown in Table 4. Despite the drop in object recognition accuracy, the artificial neural representations that emerged in each network were drastically better predictors of stimulus response variance representations. Tuning property alignment dropped in the process, but remained above previous state-of-the-art regardless. Interestingly, we found that the main difference in V1 scores between these two models can be traced to surround modulation tuning alignment. Center-surround convolutions indeed contributed to improved surround \begin{table} \begin{tabular}{c c c c c c c c} Center- & Local & Tuned Nor- & Cortical Mag- & Adversarial & & & \\ Surround & RF & malization & nification & Training & ImageNet Acc & V1 Overall & V1 Productivity & V1 Property \\ \hline ✓ & ✓ & ✓ & ✓ & ✓ & & &.629 &.430 &.829 \\ & ✓ & ✓ & ✓ & ✓ & & &.625 &.430 &.819 \\ & ✓ & ✓ & ✓ & ✓ & & &.555 &.581 &.352 &.809 \\ \end{tabular} \end{table} Table 4: Adversarial training was performed on the two models that tied for the top V1 Overall Score. Checkmarks denote whether or not the architectural component was included in the model. modulation tuning learned while training with on corrupted images, contrasting its apparent lack of contribution to the overall network suggested in the ablation study. In sum, both networks achieved Rank-1 V1 Overall, Predictivity, and Property scores by large margins, setting a new standard in this breed of brain-aligned CNNs. At the time of writing, the previous Rank-1 V1 Overall, Predictivity, and Property scores were.594,.409, and.816, respectively, and all achieved by separate models. ## 5 Discussion Throughout this work we presented a systematic evaluation of four architectural components derived from neuroscience principles and their influence on model-V1 similarity. Specifically, we studied task-driven CNNs enhanced with ANN layers that simulate principle processing mechanisms of the primate visual system including center-surround antagonism, local receptive fields, tuned normalization, and cortical magnification. Through an ablation study and isolated component analyses, we found that each component contributed to the production of latent ANN representations that better resemble those of primate V1, as compared to a traditional baseline CNN. When these four components were assembled together within a neuro-constrained ResNet50, V1 tuning properties were explained better than any previous deep learning model that we are aware of. Furthermore, this neuro-constrained model exhibited state-of-the-art explanation of V1 neural activity and is the first of its kind to do so, by a large margin nonetheless, highlighting a promising direction in biologically constrained ANNs. Training this model with "free" adversarial training greatly improved its ability to predict primate neural response to image stimuli at a minor sacrifice to tuning property similarity, establishing an even larger gap between previous state of the art. Among all architectural components examined in this work, cortical magnification was the most influential to improving V1 alignment. This mechanism on its own could not explain the neural activity as comprehensively as the top models of this study, however. Our implementation of tuned normalization provided substantial improvement to V1 tuning property alignment, and was the only component that contributed to model robustness. The importance of center-surround antagonism seemed to be training data-dependent. In our ablation study, for which all models were trained on ImageNet, center-surround convolutional layers did not contribute to overall V1 scores. This did not surprise us, as deep CNNs have the capacity to learn similar representations without these specialized layers. When training on adversarially perturbed data, however, the center-surround antagonism provided by this layer appeared to improve surround modulation tuning properties of artificial V1 neurons. While previous attempts at improving model-brain similarity have been highly dataset dependent, our results highlight the importance of artificial network design. A notable limitation to our work is the reduction in ImageNet classification performance that was observed upon the introduction of cortical magnification. While maintaining baseline model accuracy was not a motivation of this work, we can imagine situations in which object recognition performance needs to be preserved alongside these improvements in brain-model alignment. The implementation of cortical magnification in this work assumed that the model's gaze was focused at the center of each image. Consequently, visual stimuli at greater eccentricities from the image center were under-sampled during the polar transformation (Fig. F.1), making images for which the object of interest was not located at the image center (common in ImageNet) more challenging to classify. One scope of future work involves implementing saliency- or attention-driven polar transformations that dynamically focus the center of the polar map on, or near, an object of interest as opposed to being fixed at the image center. We demonstrate the efficacy of this strategy with a naive proof of concept in which classification is performed by averaging predictions from the five static crops of each image [62]. This simple strategy improved the validation accuracy of the network with all components from 55.1% to 59.9% without affecting V1 scores. A more sophisticated, dynamic strategy could further reduce this accuracy drop. We additionally plan to extend this work to model architectures other than ResNet to validate the widespread application of each of these neuro-constrained components. This work highlights an important advancement in the field of NeuroAI, as we systematically establish a set of neuro-constrained architectural components that contribute to state-of-the-art V1 alignment. We argue that our architecture-driven approach can be further generalized to additional areas of the brain as well. The neuroscience insights that could be gleaned from increasingly accurate in-silico models of the brain have the potential to transform the fields of both neuroscience and AI. ## References * [1] Yann LeCun, Yoshua Bengio, and Geoffrey Hinton. Deep learning. _Nature_, 521(7553):436-444, May 2015. * [2] Laurent Itti, Christof Koch, and Ernst Niebur. A model of saliency-based visual attention for rapid scene analysis. _IEEE Transactions on pattern analysis and machine intelligence_, 20(11):1254-1259, 1998. * [3] Hugo Larochelle and Geoffrey E Hinton. Learning to combine foveal glimpses with a third-order boltzmann machine. _Advances in neural information processing systems_, 23, 2010. * [4] Kelvin Xu, Jimmy Ba, Ryan Kiros, Kyunghyun Cho, Aaron Courville, Ruslan Salakhudinov, Rich Zemel, and Yoshua Bengio. Show, attend and tell: Neural image caption generation with visual attention. In _International conference on machine learning_, pages 2048-2057. PMLR, 2015. * [5] Ashish Vaswani, Noam Shazeer, Niki Parmar, Jakob Uszkoreit, Llion Jones, Aidan N Gomez, Lukasz Kaiser, and Illia Polosukhin. Attention is all you need. _Advances in neural information processing systems_, 30, 2017. * [6] David J Heeger, Eero P Simoncelli, and J Anthony Movshon. Computational models of cortical visual processing. _Proceedings of the National Academy of Sciences_, 93(2):623-627, 1996. * [7] Matteo Carandini, David J Heeger, and J Anthony Movshon. Linearity and normalization in simple cells of the macaque primary visual cortex. _Journal of Neuroscience_, 17(21):8621-8644, 1997. * [8] Nicole C Rust, Odelia Schwartz, J Anthony Movshon, and Eero P Simoncelli. Spatiotemporal elements of macaque v1 receptive fields. _Neuron_, 46(6):945-956, 2005. * [9] Brett Vinitch, J Anthony Movshon, and Eero P Simoncelli. A convolutional subunit model for neuronal responses in macaque v1. _Journal of Neuroscience_, 35(44):14829-14841, 2015. * [10] Matteo Carandini, Jonathan B. Demb, Valerio Mante, David J. Tolhurst, Yang Dan, Bruno A. Olshausen, Jack L. Gallant, and Nicole C. Rust. Do We Know What the Early Visual System Does? _Journal of Neuroscience_, 25(46):10577-10597, November 2005. * [11] Daniel L Yamins, Ha Hong, Charles Cadieu, and James J DiCarlo. Hierarchical Modular Optimization of Convolutional Networks Achieves Representations Similar to Macaque IT and Human Ventral Stream. In _Advances in Neural Information Processing Systems_, volume 26. Curran Associates, Inc., 2013. * [12] Daniel L. K. Yamins, Ha Hong, Charles F. Cadieu, Ethan A. Solomon, Darren Seibert, and James J. DiCarlo. Performance-optimized hierarchical models predict neural responses in higher visual cortex. _Proceedings of the National Academy of Sciences_, 111(23):8619-8624, June 2014. * [13] Daniel L. K. Yamins and James J. DiCarlo. Using goal-driven deep learning models to understand sensory cortex. _Nature Neuroscience_, 19(3):356-365, March 2016. Number: 3 Publisher: Nature Publishing Group. * [14] Najib J. Majaj, Ha Hong, Ethan A. Solomon, and James J. DiCarlo. Simple Learned Weighted Sums of Inferior Temporal Neuronal Firing Rates Accurately Predict Human Core Object Recognition Performance. _Journal of Neuroscience_, 35(39):13402-13418, September 2015. Publisher: Society for Neuroscience Section: Articles. * [15] Santiago A. Cadena, George H. Denfield, Edgar Y. Walker, Leon A. Gatys, Andreas S. Tolias, Matthias Bethge, and Alexander S. Ecker. Deep convolutional models improve predictions of macaque V1 responses to natural images. _PLOS Computational Biology_, 15(4):e1006897, April 2019. Publisher: Public Library of Science. * [16] Martin Schrimpf, Jonas Kubilius, Ha Hong, Najib J. Majaj, Rishi Rajalingham, Elias B. Issa, Kohitij Kar, Pouya Bashivan, Jonathan Prescott-Roy, Franziska Geiger, Kailyn Schmidt, Daniel L. K. Yamins, and James J. DiCarlo. Brain-Score: Which Artificial Neural Network for Object Recognition is most Brain-Like?, January 2020. Pages: 407007 Section: New Results. * [17] Tiago Marques, Martin Schrimpf, and James J. DiCarlo. Multi-scale hierarchical neural network models that bridge from single neurons in the primate primary visual cortex to object recognition behavior, August 2021. Pages: 2021.03.01.433495 Section: New Results. * [18] Pouya Bashivan, Kohitij Kar, and James J. DiCarlo. Neural population control via deep image synthesis. _Science_, 364(6439):eaav9436, May 2019. Publisher: American Association for the Advancement of Science. * Hassabis et al. [2017] Demis Hassabis, Dharshan Kumaran, Christopher Summerfield, and Matthew Botvinick. Neuroscience-inspired artificial intelligence. _Neuron_, 95(2):245-258, 2017. * Zador et al. [2019] Anthony Zador, Sean Escola, Blake Richards, Bence Olveczky, Yoshua Bengio, Kwabena Boahen, Matthew Botvinick, Dmitri Chklovskii, Anne Churchland, Claudia Clopath, James DiCarlo, Surya Ganguli, Jeff Hawkins, Konrad Kording, Alexei Koulakov, Yann LeCun, Timothy Lillicrap, Adam Marblestone, Bruno Olshausen, Alexandre Pouget, Cristina Savin, Terrence Sejnowski, Eero Simoncelli, Sara Solla, David Sussillo, Andreas S. Tolias, and Doris Tsao. Catalyzing next-generation artificial intelligence through neuroai. _Nature Communications_, 14(1):1597, Mar 2023. * Hubel and Wiesel [1962] David H Hubel and Torsten N Wiesel. Receptive fields, binocular interaction and functional architecture in the cat's visual cortex. _The Journal of physiology_, 160(1):106, 1962. Publisher: Wiley-Blackwell. * He et al. [2016] Kaiming He, Xiangyu Zhang, Shaoqing Ren, and Jian Sun. Deep residual learning for image recognition. In _Proceedings of the IEEE conference on computer vision and pattern recognition_, pages 770-778, 2016. * Tan and Le [2019] Mingxing Tan and Quoc Le. Efficientnet: Rethinking model scaling for convolutional neural networks. In _International conference on machine learning_, pages 6105-6114. PMLR, 2019. * Li et al. [2019] Zhe Li, Wieland Brendel, Edgar Walker, Erick Cobos, Taliah Muhammad, Jacob Reimer, Matthias Bethge, Fabian Sinz, Zachary Pitkow, and Andreas Tolias. Learning from brains how to regularize machines. In _Advances in Neural Information Processing Systems_, volume 32. Curran Associates, Inc., 2019. * Dapello et al. [2020] Joel Dapello, Tiago Marques, Martin Schrimpf, Franziska Geiger, David Cox, and James J DiCarlo. Simulating a Primary Visual Cortex at the Front of CNNs Improves Robustness to Image Perturbations. In _Advances in Neural Information Processing Systems_, volume 33, pages 13073-13087. Curran Associates, Inc., 2020. * Reddy et al. [2020] Manish V. Reddy, Andrzej Banburski, Nishka Pant, and Tomaso Poggio. Biologically Inspired Mechanisms for Adversarial Robustness, June 2020. arXiv:2006.16427 [cs, stat]. * Allman et al. [1985] J. Allman, F. Miezin, and E. McGuinness. Stimulus specific responses from beyond the classical receptive field: neurophysiological mechanisms for local-global comparisons in visual neurons. _Annual Review of Neuroscience_, 8:407-430, 1985. * Knierim and van Essen [1992] J. J. Knierim and D. C. van Essen. Neuronal responses to static texture patterns in area V1 of the alert macaque monkey. _Journal of Neurophysiology_, 67(4):961-980, April 1992. Publisher: American Physiological Society. * Walker et al. [1999] Gary A. Walker, Izumi Ohzawa, and Ralph D. Freeman. Asymmetric Suppression Outside the Classical Receptive Field of the Visual Cortex. _Journal of Neuroscience_, 19(23):10536-10553, December 1999. Publisher: Society for Neuroscience. * Shen et al. [2007] Zhi-Ming Shen, Wei-Feng Xu, and Chao-Yi Li. Cue-invariant detection of centre-surround discontinuity by V1 neurons in awake macaque monkey. _The Journal of Physiology_, 583(Pt 2):581-592, September 2007. * DeAngelis et al. [1994] Gregory C DeAngelis, RALPH D Freeman, and IZUMI Ohzawa. Length and width tuning of neurons in the cat's primary visual cortex. _Journal of neurophysiology_, 71(1):347-374, 1994. * Sceniak et al. [1999] Michael P Sceniak, Dario L Ringach, Michael J Hawken, and Robert Shapley. Contrast's effect on spatial summation by macaque V1 neurons. _Nature neuroscience_, 2(8):733-739, 1999. Publisher: Nature Publishing Group. * Sceniak et al. [2001] Michael P Sceniak, Michael J Hawken, and Robert Shapley. Visual spatial characterization of macaque V1 neurons. _Journal of neurophysiology_, 85(5):1873-1887, 2001. Publisher: American Physiological Society Bethesda, MD. * Hasani et al. [2019] Hosein Hasani, Mahdieh Soleymani, and Hamid Aghajan. Surround Modulation: A Bio-inspired Connectivity Structure for Convolutional Neural Networks. In H. Wallach, H. Larochelle, A. Beygelzimer, F. d' Alche-Buc, E. Fox, and R. Garnett, editors, _Advances in Neural Information Processing Systems_, volume 32. Curran Associates, Inc., 2019. * Babaiee et al. [2021] Zahra Babaiee, Ramin Hasani, Mathias Lechner, Daniela Rus, and Radu Grosu. On-off center-surround receptive fields for accurate and robust image classification. In _International Conference on Machine Learning_, pages 478-489. PMLR, 2021. * Koulakov and Chklovskii [2001] Alexei A Koulakov and Dmitri B Chklovskii. Orientation preference patterns in mammalian visual cortex: a wire length minimization approach. _Neuron_, 29(2):519-527, 2001. Publisher: Elsevier. * [37] Hyodong Lee, Eshed Margalit, Ramila M. Jozwik, Michael A. Cohen, Nancy Kanwisher, Daniel L. K. Yamins, and James J. DiCarlo. Topographic deep artificial neural networks reproduce the hallmarks of the primate inferior temporal cortex face processing network. preprint, Neuroscience, July 2020. * [38] Roman Pogodin, Yash Mehta, Timothy Lillicrap, and Peter E Latham. Towards Biologically Plausible Convolutional Networks. In _Advances in Neural Information Processing Systems_, volume 34, pages 13924-13936. Curran Associates, Inc., 2021. * [39] Matteo Carandini and David J. Heeger. Normalization as a canonical neural computation. _Nature Reviews Neuroscience_, 13(1):51-62, January 2012. Number: 1 Publisher: Nature Publishing Group. * [40] David J. Heeger and Klavdia O. Zemlianova. A recurrent circuit implements normalization, simulating the dynamics of V1 activity. _Proceedings of the National Academy of Sciences_, 117(36):22494-22505, September 2020. Publisher: Proceedings of the National Academy of Sciences. * [41] Max F Burg, Santiago A Cadena, George H Denfield, Edgar Y Walker, Andreas S Tolias, Matthias Bethge, and Alexander S Ecker. Learning divisive normalization in primary visual cortex. _PLOS Computational Biology_, 17(6):e1009028, 2021. Publisher: Public Library of Science San Francisco, CA USA. * [42] Andrew Cirincione, Reginald Verrier, Ariom Bic, Stephanie Olaiya, James J DiCarlo, Lawrence Udeigwe, and Tiago Marques. Implementing Divisive Normalization in CNNs Improves Robustness to Common Image Corruptions. * [43] Nicole C. Rust, Valerio Mante, Eero P. Simoncelli, and J. Anthony Movshon. How MT cells analyze the motion of visual patterns. _Nature Neuroscience_, 9(11):1421-1431, November 2006. Number: 11 Publisher: Nature Publishing Group. * [44] M Concetta Morrone, DC Burr, and Lamberto Maffei. Functional implications of cross-orientation inhibition of cortical visual cells. I. Neurophysiological evidence. _Proceedings of the Royal Society of London. Series B. Biological Sciences_, 216(1204):335-354, 1982. Publisher: The Royal Society London. * [45] GC DeAngelis, JG Robson, I Ohzawa, and RD Freeman. Organization of suppression in receptive fields of neurons in cat visual cortex. _Journal of Neurophysiology_, 68(1):144-163, 1992. * [46] PM Daniel and D Whitteridge. The representation of the visual field on the cerebral cortex in monkeys. _The Journal of physiology_, 159(2):203, 1961. Publisher: Wiley-Blackwell. * [47] Eric L Schwartz. Spatial mapping in the primate sensory projection: analytic structure and relevance to perception. _Biological cybernetics_, 25(4):181-194, 1977. Publisher: Springer. * [48] Eric L Schwartz. Computational anatomy and functional architecture of striate cortex: a spatial mapping approach to perceptual coding. _Vision research_, 20(8):645-669, 1980. Publisher: Elsevier. * [49] Eric L Schwartz. Computational studies of the spatial architecture of primate visual cortex: columns, maps, and protomaps. _Primary visual cortex in primates_, pages 359-411, 1994. Publisher: Springer. * [50] Jonathan R Polimeni, Mukund Balasubramanian, and Eric L Schwartz. Multi-area visuotopic map complexes in macaque striate and extra-striate cortex. _Vision research_, 46(20):3336-3359, 2006. Publisher: Elsevier. * [51] Carlos Esteves, Christine Allen-Blanchette, Xiaowei Zhou, and Kostas Daniilidis. Polar Transformer Networks. _International Conference on Learning Representations_, 2018. * [52] Joao F. Henriques and Andrea Vedaldi. Warped Convolutions: Efficient Invariance to Spatial Transformations, 2021. _eprint: 1609.04382. * [53] Taro Kiritani and Koji Ono. Recurrent Attention Model with Log-Polar Mapping is Robust against Adversarial Attacks, 2020. _eprint: 2002.05388. * [54] M.R. Blackburn. A Simple Computational Model of Center-Surround Receptive Fields in the Retina. Technical report. Section: Technical Reports. * [55] Jia Deng, Wei Dong, Richard Socher, Li-Jia Li, Kai Li, and Li Fei-Fei. ImageNet: A large-scale hierarchical image database. In _2009 IEEE Conference on Computer Vision and Pattern Recognition_, pages 248-255, June 2009. ISSN: 1063-6919. * [56] Dan Hendrycks and Thomas Dietterich. Benchmarking Neural Network Robustness to Common Corruptions and Perturbations, March 2019. arXiv:1903.12261 [cs, stat]. * [57] Richard Zhang, Phillip Isola, Alexei A. Efros, Eli Shechtman, and Oliver Wang. The unreasonable effectiveness of deep features as a perceptual metric. In _2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition_, pages 586-595, 2018. * [58] Amanda Ross and Victor L. Willson. _One-Way Anova_, pages 21-24. SensePublishers, Rotterdam, 2017. * [59] Shahd Safarani, Arne Nix, Konstantin Willeke, Santiago Cadena, Kelli Restivo, George Denfield, Andreas Tolias, and Fabian Sinz. Towards robust vision by multi-task learning on monkey visual cortex. In _Advances in Neural Information Processing Systems_, volume 34, pages 739-751. Curran Associates, Inc., 2021. * [60] Alexander Riedel. Bag of Tricks for Training Brain-Like Deep Neural Networks. March 2022. * [61] Ali Shafahi, Mahyar Najibi, Mohammad Amin Ghiasi, Zheng Xu, John Dickerson, Christoph Studer, Larry S Davis, Gavin Taylor, and Tom Goldstein. Adversarial training for free! In _Advances in Neural Information Processing Systems_, volume 32. Curran Associates, Inc., 2019. * [62] Manish Reddy Vuyyuru, Andrzej Banburski, Nishka Pant, and Tomaso Poggio. Biologically inspired mechanisms for adversarial robustness. In H. Larochelle, M. Ranzato, R. Hadsell, M.F. Balcan, and H. Lin, editors, _Advances in Neural Information Processing Systems_, volume 33, pages 2135-2146. Curran Associates, Inc., 2020. ## Appendix A Supplemental Model Diagrams Fig. A.1 depicts the modifications made to ResNet50 residual layer 1 in the isolated component analyses of section 4.1. All multi-component (composite) models analyzed in Section 4.2 relied on combinations of these modifications (as exemplified in Fig. 2). Figure A.1: ResNet50 residual layer 1, supplemented with individual neuro-constrained architectural components, as in section 4.1. (A) No modification (baseline ResNet50 layer 1), (B) with center-surround antagonism, (C) with local receptive field (RF), (D) with divisive normalization, (E) with tuned normalization, (F) with cortical magnification. V1 Scores of Alternate Layers of Baseline Network When evaluating a model on Brain-Score, users are permitted to commit a mapping between model layers and areas of the ventral stream. Model-brain alignment is computed for each mapped pair in the Brain-Score evaluation. To promote a fair evaluation, we sought to find the layer that yielded optimal V1 alignment from the baseline ResNet50 model and fix this layer as the artificial V1 readout layer in all of our tested models. It is worth noting that after supplementing the base ResNet50 with neuro-constrained components, this layer may no longer offer optimal V1 alignment in the augmented network. In spite of this, we maintain this layer as our artificial V1 readout layer for fair evaluation. To find the ResNet50 layer with the best V1 Overall, Predictivity, and Property scores, we compared a total of 20 different hidden layers (Fig. B.1). 16 of these layers corresponded to the post-activation hidden states of the network. The remaining 4 were downsampling layers of the first bottleneck block of each residual layer in the network, as these have previously demonstrated good V1 alignment [25]. Aside from these downsampling layers, hidden layers that did not follow a ReLU activation were omitted from this evaluation as the activities of these states can take on negative values and are therefore less interpretable as neural activities. Among all evaluated layers, the final output of ResNet50 residual layer 1 (i.e., the output of the third residual block of ResNet50) offered the highest V1 Overall score, and was therefore selected as the artificial V1 readout layer in all of our experiments. Figure B.1: V1 alignment Brain-Scores for 20 different hidden layers of ResNet50. In the plot above, readout location ‘X.Y’ denotes that artificial V1 activity was evaluated from residual block ‘Y’ of residual layer ‘X’. Readout location suffixed with ‘.d’ correspond to downsampling layers of the associated residual bottleneck. Highest V1 overall score came from block 3 of residual layer 1. Expanded Model Tuning Properties Primary visual cortex (V1) tuning property alignments for each composite model evaluated in Section 4.2 are presented in Table 5. Tuning property similarities are computed as coiled Kolmogorov-Smirnov distance between artificial neural response distributions from the model and empirical distributions recorded in primates [16; 17]. ## Appendix D V1 Brain-Scores of Untrained Models ## Appendix E V2, V4, and IT Brain-Scores of Top Model Table 7 shows the Brain-Scores of our top performing V1 model (the adversarially trained ResNet50 with all architectural components) for brain areas V2, V4, and IT. Network layers were mapped to visual areas V2, V4, and IT by finding the layers that achieve the best scores on these visual area benchmarks, as evaluated on Brain-Score's publicly available evaluation set. ## Appendix E \begin{table} \begin{tabular}{l r r r} & V1 Overall & V1 Predictivity & V1 Property \\ \hline Center-surround antagonism & \(.298\) & \(.245\) & \(.551\) \\ Local receptive fields & \(.477\) & \(.210\) & \(.743\) \\ Divisive normalization & \(.499\) & \(.207\) & \(.792\) \\ Tuned normalization & \(.471\) & \(.218\) & \(.724\) \\ Cortical magnification & \(.497\) & \(.276\) & \(.718\) \\ All Components & \(.483\) & \(.225\) & \(.741\) \\ ResNet50 & \(.466\) & \(.223\) & \(.710\) \\ \end{tabular} \end{table} Table 6: primary visual cortex (V1) alignment scores of untrained ResNet50 model variants. \begin{table} \begin{tabular}{l r r|r r r r r r r r} & Visual Area Brain-Score & V2 & V4 & IT \\ \hline & \(.298\) & \(.245\) & \(.551\) \\ \end{tabular} \end{table} Table 7: V2, V4, and IT Brain-Scores of adversarially trained ResNet50 with all architectural components. \begin{table} \begin{tabular}{l r r r|r r r r r r r} & Visual Area Brain-Score & V2 & V4 & IT \\ \hline & & \(.298\) & \(.245\) & \(.551\) \\ \end{tabular} \end{table} Table 7: V2, V4, and IT Brain-Scores of adversarially trained ResNet50 with all architectural components. \begin{table} \begin{tabular}{l r r r|r r r r r r r} & Visual Area Brain-Score & V2 & V4 & IT \\ \hline & & \(.298\) & \(.245\) & \(.551\) \\ \end{tabular} \end{table} Table 8: V2, V4, and IT Brain-Scores of adversarially trained ResNet50 with all architectural components. \begin{table} \begin{tabular}{l r r r|r r r r r r r} & Visual Area Brain-Score & V2 & V4 & IT \\ \hline & & \(.298\) & \(.245\) & \(.551\) \\ \end{tabular} \end{table} Table 9: V2, V4, and IT Brain-Scores of adversarially trained ResNet50 with all architectural components. Supplemental VisualizationsAdversarial Training The neuro-constrained ResNets discussed in Section 4.5 were trained using the "Free" adversarial training method proposed by Shafahi _et al._[61]. In Projected Gradient Descent (PGD)-based adversarial training (a typical approach to adversarially training robust classifiers), a network is trained on adversarial samples that are generated on the fly during training. Specifically, in PGD-based adversarial training, a batch of adversarial images is first generated through a series of iterative perturbations to an original image batch, at which point the parameters of the network are finally updated according to the network's loss, as evaluated on the adversarial examples. "Free" adversarial training generates adversarial training images with a similar approach, but the parameters of the network are simultaneously updated with every iteration of image perturbation, significantly reducing training time. The authors refer to these mini-batch updates as "replays", and refer to the number of replays of each mini-batch with the parameter \(m\). The adversarially trained models of Section 4.5 were trained with \(m=4\) replays and perturbation clipping of \(\epsilon=\frac{2}{255}\). These models were trained for \(120\) epochs using a stochastic gradient descent optimizer with an initial learning rate of \(0.1\), which was reduced by a factor of \(10\) every \(40\) epochs, momentum of \(0.9\), and weight decay of \(1\times 10^{-5}\). Each model was initialized with the weights that were learned during traditional ImageNet training for the analyses in Section 4.2. "Free" adversarial training was performed using code provided by the authors of this method ([https://github.com/mahyarnajibi/FreeAdversarialTraining](https://github.com/mahyarnajibi/FreeAdversarialTraining)). ## Appendix H Robustness to Common Image Corruptions ### Dataset Description We evaluated image classification robustness to common image corruptions using the Tiny-ImageNet-C dataset [56]. Recall that Tiny-ImageNet-C was used instead of ImageNet-C, because our models were trained on \(64\times 64\) input images. Downscaling ImageNet-C images would have potentially altered the intended corruptions and biased our evaluations. Tiny-ImageNet-C is among a collection of corrupted datasets (e.g., ImageNet-C, CIFAR-10-C, CIFAR-100-C) that feature a diverse set of corruptions to typical benchmark datasets. Hendrycks and Dietterich [56] suggest that given the diversity of corruptions featured in these datasets, performance on these datasets can be seen as a general indicator of model robustness. The Tiny-ImageNet-C evaluation dataset consists of images from that Tiny-ImageNet validation dataset that have been corrupted according to \(15\) types of image corruption, each of which is categorized as a 'noise', 'blur', 'weather', or 'digital' corruption. The \(15\) corruption types include: Gaussian noise, shot noise, impulse noise, defocus blur, frosted glass blur, motion blur, zoom blur, snow, frost, fog, brightness, contrast, elastic transformation, pixelation, and JPEG compression. Each corruption is depicted in Fig. H.1. Every image of this evaluation dataset is also corrupted at five levels of severity (the higher the corruption severity, the more the original image had been corrupted). Corruption severities for Gaussian noise are exemplified in Fig. H.2. Figure H.1: \(15\) corruptions of the Tiny-ImageNet-C dataset, applied to a sample image from Tiny-ImageNet-C. First row: noise corruptions, second row: blur corruptions, third row: weather corruptions, bottom row: digital corruptions. All corruptions shown at severity level 3. Figure H.2: Gaussian noise corruption, shown at corruption severity levels 1-5. ### Corrupted Image Robustness A detailed breakdown of Tiny-ImageNet-C image classification accuracy for each single-component, neuro-constrained ResNet-50 and the composite models that achieved top V1 Overall score without adversarial training are provided in Tables 8, 9, and 10. ## Appendix I Code Availability Code and materials required to reproduce the work presented in this paper are available at github.com/bionicvisionlab/2023-Pogoncheff-Explaining-V1-Properties. \begin{table} \begin{tabular}{l r r r r r} \multicolumn{5}{c}{Noise Corruptions} \\ & Gaussian Noise & Impulse Noise & Shot Noise & Avg. \\ \hline ResNet50 (Baseline) & \(\mathbf{.197}\pm.011\) & \(.191\pm.010\) & \(\mathbf{.232}\pm.013\) & \(\mathbf{.207}\pm.011\) \\ Center-surround antagonism & \(.195\pm.010\) & \(.186\pm.009\) & \(\mathbf{.232}\pm.012\) & \(.204\pm.010\) \\ Local Receptive Fields & \(.185\pm.006\) & \(.184\pm 009\) & \(.219\pm.010\) & \(.196\pm.008\) \\ Tuned Normalization & \(.195\pm.008\) & \(\mathbf{.192}\pm.004\) & \(.228\pm.007\) & \(.205\pm.006\) \\ Cortical Magnification & \(.150\pm.008\) & \(.157\pm.007\) & \(.180\pm.011\) & \(.162\pm.008\) \\ Composite Model A & \(.151\) & \(.156\) & \(.184\) & \(.164\) \\ Composite Model B & \(.144\) & \(.149\) & \(.177\) & \(.157\) \\ & & & & \\ \multicolumn{5}{c}{Blur Corruptions} \\ & Defocus Blur & Glass Blur & Motion Blur & Zoom Blur & Avg. \\ \hline ResNet50 (Baseline) & \(.224\pm.003\) & \(.182\pm.001\) & \(.272\pm.003\) & \(.241\pm.004\) & \(.230\pm.002\) \\ Center-surround antagonism & \(.223\pm.009\) & \(.184\pm.004\) & \(.274\pm.012\) & \(.243\pm.011\) & \(.231\pm.009\) \\ Local Receptive Fields & \(.228\pm.006\) & \(.183\pm.004\) & \(.273\pm.005\) & \(.243\pm.008\) & \(.232\pm.005\) \\ Tuned Normalization & \(\mathbf{.234}\pm.009\) & \(\mathbf{.188}\pm.002\) & \(\mathbf{.277}\pm.009\) & \(\mathbf{.248}\pm.010\) & \(\mathbf{.237}\pm.007\) \\ Cortical Magnification & \(.174\pm.010\) & \(.162\pm.008\) & \(.222\pm.007\) & \(.190\pm.006\) & \(.187\pm.008\) \\ Composite Model A & \(.186\) & \(.167\) & \(.236\) & \(.200\) & \(.197\) \\ Composite Model B & \(.196\) & \(.174\) & \(.249\) & \(.222\) & \(.210\) \\ & & & & & \\ \multicolumn{5}{c}{Weather Corruptions} \\ & Brightness & Fog & Frost & Snow & Avg. \\ \hline ResNet50 (Baseline) & \(.401\pm.005\) & \(\mathbf{.282}\pm.003\) & \(.360\pm.006\) & \(.310\pm.004\) & \(.338\pm.004\) \\ Center-surround antagonism & \(.399\pm.008\) & \(.270\pm.008\) & \(.357\pm.012\) & \(.302\pm.003\) & \(.332\pm.007\) \\ Local Receptive Fields & \(.398\pm.008\) & \(.275\pm.005\) & \(.351\pm.006\) & \(.298\pm.004\) & \(.331\pm.003\) \\ Tuned Normalization & \(\mathbf{.410}\pm.008\) & \(\mathbf{.282}\pm.011\) & \(\mathbf{.361}\pm.006\) & \(\mathbf{.311}\pm.010\) & \(\mathbf{.341}\pm.008\) \\ Cortical Magnification & \(.327\pm.011\) & \(.211\pm.013\) & \(.283\pm.014\) & \(.248\pm.010\) & \(.267\pm.011\) \\ Composite Model A & \(.338\) & \(.220\) & \(.286\) & \(.258\) & \(.275\) \\ Composite Model B & \(.327\) & \(.225\) & \(.284\) & \(.255\) & \(.273\) \\ & & & & & \\ \multicolumn{5}{c}{Digital Corruptions} \\ & Contrast & Elastic & JPEG & Pixelate & Avg. \\ \hline ResNet50 (Baseline) & \(.125\pm.001\) & \(.331\pm.007\) & \(.454\pm.007\) & \(.374\pm.003\) & \(.321\pm.003\) \\ Center-surround antagonism & \(.122\pm.002\) & \(.331\pm.014\) & \(.455\pm.007\) & \(.374\pm.004\) & \(.321\pm.006\) \\ Local Receptive Fields & \(.120\pm.004\) & \(.329\pm.003\) & \(.457\pm.005\) & \(.375\pm.002\) & \(.320\pm.001\) \\ Tuned Normalization & \(\mathbf{.128}\pm.008\) & \(\mathbf{.342}\pm.010\) & \(\mathbf{.463}\pm.006\) & \(\mathbf{.387}\pm.006\) & \(\mathbf{.330}\pm.007\) \\ Cortical Magnification & \(.082\pm.005\) & \(.287\pm.007\) & \(.374\pm.013\) & \(.287\pm.014\) & \(.257\pm.010\) \\ Composite Model A & \(.081\) & \(.305\) & \(.397\) & \(.303\) & \(.272\) \\ Composite Model B & \(.086\) & \(.314\) & \(.383\) & \(.293\) & \(.269\) \\ \end{tabular} \end{table} Table 10: Corrupted image classification accuracy by corruption type. Composite Model A includes all 4 neuro-constrained architectural components (center-surround antagonism, local receptive fields, tuned normalization, and cortical magnification). Composite Model B contained all architectural components, with the exception of center-surround antagonism. For baseline and single-component models, mean accuracies (\(\pm\) one standard deviation) are reported, where each trial was associated with a distinct base model from the repeated trials of section 4.1.

## Review ### Summary This paper proposes the incorporation of biologically inspired components, including center-surround receptive fields, local receptive fields, tuned divisive normalization, and cortical magnification, into deep convolutional networks (DCNs) to enhance alignment with V1 neural responses. The authors conduct a systematic ablation analysis to evaluate the contributions of these components, ultimately demonstrating that their approach achieves significant improvements in Brain-Score V1 alignment, particularly with the addition of adversarial training. However, the study also notes a reduction in task performance on ImageNet, which raises questions about the trade-offs involved in enhancing V1 alignment. Overall, the work fits well within the current neuroscience and AI intersection, addressing important questions about model design and performance. ### Strengths - The paper provides a thorough discussion about biologically inspired computations in V1, integrating them into deep neural networks as modules with learnable components. - The systematic evaluation of individual contributions of architectural components is well done, enhancing understanding of their roles in capturing V1 properties. - The approach of combining multiple V1 components in one model is novel and addresses a high-interest topic for both the CS and neuroscience communities. - The paper presents interesting findings about cortical magnification's role in improving alignment, adding value to the current literature. ### Weaknesses - The novelty of biologically inspired components in neural networks is somewhat diminished as similar efforts have been made previously, notably in works like VOneNet; a clearer distinction from prior art is needed. - Clarity issues exist regarding the organization of background and methods, making it difficult to follow the integration of previous work. - The paper lacks detailed discussion on why specific components yield varying effects on alignment, which is crucial for understanding their contributions. - The significant drop in ImageNet classification performance raises concerns; the authors should explore the reasons behind this trade-off more comprehensively. - Some results show only small improvements in Brain-Score, leading to questions about the significance of claims made regarding performance enhancements. ### Questions - What sets this work apart from previous attempts at integrating biological components into neural networks, especially in context to VOneNet? - Could the authors clarify the greedy backwards elimination process used in their analysis? - Is there a theoretical framework explaining why certain architectural features enhance V1 alignment while others do not? - Can the authors include results for other brain areas (V2, V4, IT) to facilitate comparisons with existing models? - What are the implications of downsampling ImageNet images to 64x64, and could training on larger images improve accuracy? ### Soundness **Score:** 3 **Description:** 3 = good: The paper presents a technically sound approach with systematic evaluations, though it lacks some critical discussions and clarity on results. ### Presentation **Score:** 3 **Description:** 3 = good: The overall presentation is clear, but there are areas needing restructuring for better clarity and flow. ### Contribution **Score:** 3 **Description:** 3 = good: The paper makes a meaningful contribution to the field by exploring the integration of biological components in DCNs, despite some limitations in novelty. ### Rating **Score:** 6 **Description:** 6 = Weak Accept: The paper is technically solid and presents moderate-to-high impact findings, but it requires further exploration of certain weaknesses. ### Paper Decision **Decision:** Accept (poster) **Reasons:** The paper presents original research within a timely and significant area, demonstrating soundness and capturing the interest of the neuroscience and AI communities. Despite some clarity issues and a notable drop in classification performance, the strengths and contributions outweigh the weaknesses, justifying an acceptance with minor revisions.

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