Pith. sign in

REVIEW 4 major objections 4 minor 50 references

Sign-Symmetry Learning Rules are Robust Fine-Tuners

T0 review · 4 major / 4 minor · reviewed 2026-08-08 · deepseek-v4-flash

Pith's one-line read Fine-tuning with Sign-Symmetry learning rules keeps backpropagation-level performance while making models markedly more resistant to gradient-based adversarial attacks.

desk verdict Robustness claim is likely a gradient-masking artifact; performance parity is unverified, but the fine-tuning recipe is a legitimate, testable idea. read the letter →

arxiv 2502.05925 v2 pith:LXGDZ2E5 submitted 2025-02-09 cs.LG cs.AI

classification cs.LGcs.AI
keywords backpropagationsign-symmetrylearningrulesfeedbackalignmentfine-tuningadversarialrobustnesswhite-boxattacksdeephashingimageretrieval
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper proposes a hybrid training recipe: start with a backbone pre-trained by backpropagation, then fine-tune all parameters with a Sign-Symmetry learning rule instead of backpropagation. The paper claims that, across image classification and hashing-based image retrieval, on three backbones and several datasets, this recipe keeps top-1 accuracy or mean average precision on par with backpropagation fine-tuning while making models substantially harder to fool with gradient-based white-box attacks such as FGSM, PGD, HAG, and SDHA. The authors attribute the effect to approximate, sign-based gradients that give a white-box adversary a less reliable landscape to optimize against. If the claim holds, biological learning rules become a practical robustness mechanism rather than a performance penalty, and standard pre-train/fine-tune pipelines gain a cheap hardening step.

What carries the argument

The central object is the Sign-Symmetry feedback matrix $V$ that substitutes for the transposed weight matrix in the backward pass: for uSF, $V = \operatorname{sign}(W^\top)$; for frSF, $V = M \circ \operatorname{sign}(W^\top)$ with $M$ fixed random magnitudes; for brSF, $M$ is redrawn every update. This changes the error signal $\delta_l = (V_{l+1}\delta_{l+1}) \circ f'(a_l)$ that propagates through the network during fine-tuning. The sign alignment keeps updates correlated with true gradient descent—enough to fine-tune effectively—but the magnitudes are no longer exact, so the model's forward gradient no longer points an adversary straight to a loss-increasing perturbation. That mismatch is the mechanism the paper credits for the robustness.

What would settle it

Run a much stronger white-box attack on the Sign-Symmetry fine-tuned models—for example, PGD with fifty iterations and several random restarts, or an attack that approximates the true gradient by straight-through estimation of the sign function—and check whether the robust accuracy at $\epsilon=0.1$ collapses to the same near-zero level as backpropagation fine-tuning. If it does, the robustness is gradient masking, not a property of the decision boundary.

Watch

Extended reading notes

Core claim

The central discovery is that the weakness of bio-plausible learning rules—imprecise gradients—flips into an advantage once a model is already well initialized. Backpropagation pre-training supplies good representations; fine-tuning with Sign-Symmetry rules, where the backward matrix is the sign of the forward weight matrix (uSF), optionally with fixed or redrawn random magnitudes (frSF, brSF), continues to adapt the weights well enough to match backpropagation's task performance while resisting white-box adversarial perturbation. In the reported experiments, the accuracy gap between backpropagation and Sign-Symmetry fine-tuned models under FGSM and PGD can exceed 50 percentage points at large perturbation sizes, and the mean average precision gap under hashing attacks can reach tens of points, while black-box attacks show no consistent advantage for either family. The paper interprets this as a specificity: sign-symmetry fine-tuning hardens models against the very attacks that exploit gradient access.

Load-bearing premise

The load-bearing premise is that the apparent white-box robustness is genuine model robustness rather than obfuscated gradients; this enters at Section 6.2.1, where FGSM and PGD are the sole evidence, and it is undercut by the paper's own black-box tables (Tables 3-4) showing no advantage, the pattern the cited obfuscated-gradients literature warns about.

Editorial extensions

If this is right

  • Sign-Symmetry fine-tuning can act as a drop-in replacement for backpropagation fine-tuning in pre-trained pipelines, preserving task performance while improving resistance to white-box gradient attacks.
  • The robustness effect transfers across tasks, appearing in both image classification and hashing-based retrieval, which suggests it is a property of the learning rule rather than of one loss function or architecture.
  • Among the variants, frSF is the most consistently performant and stable choice for fine-tuning.
  • Because black-box attacks do not distinguish the methods, the advantage is specific to adversaries with gradient access, meaning the method hardens a particular attack surface without claiming global robustness.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • We read the absence of black-box advantage as the key unresolved point: if the robustness were due to a genuinely flatter loss landscape, some transfer-based or decision-based attacks would likely still show an edge; the authors attribute the parity to the attack being independent of the learning rule, but an alternative reading is that the white-box gains are in part an artifact of the gradient s
  • A natural extension is a post-hoc hardening procedure: a short Sign-Symmetry fine-tuning pass applied after any backpropagation-trained model, possibly combined with adversarial training for defense in depth.
  • The paper's own framing, using the word 'obfuscates' for what the approximate gradients do, invites a concrete test: compare the alignment between the true loss gradient and the gradient an adversary would compute on the Sign-Symmetry model; if they are nearly orthogonal, adaptive attacks should recover backpropagation-level vulnerability.
  • If the robustness proves genuine, Sign-Symmetry fine-tuning becomes a cheap robustness knob for edge deployment, since it requires no changes to inference and no extra defense-specific training data.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 4 minor

Summary. The paper proposes fine-tuning ImageNet-pretrained CNNs with Sign-Symmetry learning rules (uSF, frSF, brSF) instead of backpropagation, for image classification and hashing-based image retrieval. It claims that this approach maintains performance parity with BP while improving robustness against white-box gradient attacks (FGSM, PGD, HAG, SDHA), and that black-box attacks show no disadvantage. Experiments use AlexNet, VGG-16, and ResNet-18 on CIFAR-10, MS-COCO, NUS-WIDE, and ImageNet variants.

Significance. If the claims held, this would be a useful contribution: it would show that biologically motivated credit assignment can serve as a robustness-enhancing fine-tuning procedure without accuracy loss, and it would open a new empirical research direction. The paper also reports a broad benchmark matrix across architectures and datasets. However, the current evidence does not establish either performance parity or genuine robustness, and the proposed mechanism is not supported by the experiments.

major comments (4)
  1. [§5, Table 1] The classification accuracies in Table 1 are all multiples of 3.125%, which indicates that the evaluation set contains only 32 images (e.g., 90.62% vs. 93.75% is a one-sample difference). No seeds or confidence intervals are reported, so the claim that Sign-Symmetry fine-tuning 'maintains performance parity' with BP is not statistically established; the authors should evaluate on the full test sets or report repeated trials with error bars.
  2. [§6.2.1 and §7] The paper explains the robustness advantage by saying that approximate gradients 'obfuscate' exact gradients and make models 'inherently harder to fool.' However, a white-box attack computes gradients of the final trained network, which is fully differentiable and has the same functional form for BP- and Sign-Symmetry-fine-tuned models; the credit-assignment rule affects only the parameter trajectory during training, not the gradient computation at inference. The explanation is therefore a restatement of the observed effect rather than a mechanism, and it does not predict robustness.
  3. [§6.2.1, Fig. 2, and §5] The white-box evidence consists of FGSM and a 5-iteration PGD with no random restarts; this is much weaker than the attacks recommended in the literature the authors cite (Athalye et al., 2018; Carlini et al., 2019; Uesato et al., 2018). The large discrepancy between white-box and black-box results is the classic signature of gradient masking. The authors should validate with stronger attacks (more PGD steps, multiple restarts, or adaptive attacks) and test explicitly whether the apparent robustness survives; until then the central robustness claim is unsupported.
  4. [§6.2.2, Tables 3 and 4] The absence of any black-box advantage is not 'expected' but is directly problematic for the robustness claim. Decision-based attacks estimate the decision boundary, not the training gradients; if the model were genuinely more robust, black-box attacks should also require larger perturbations. The current tables (e.g., VGG16/MS-COCO under HSJA: BP 68.7% vs. brSF 3.1%) actually show Sign-Symmetry models being less robust under black-box attacks, which is what one would expect from gradient obfuscation. This needs to be addressed directly.
minor comments (4)
  1. [§4] In Section 4, 'RestNet-18' should be 'ResNet-18'; the same section uses 'Resnet-18' inconsistently.
  2. [§5] The heading 'Adverserial Robustness Evaluation Setup' contains a typo: 'Adverserial' should be 'Adversarial'.
  3. [§6.2.1] In Section 6.2.1, 'surpace' should be 'surpass'.
  4. [§6.2.2, Tables 3 and 4] Tables 3 and 4 report accuracy values like 6.25% and 9.37%, also consistent with very small evaluation sets; the authors should state the number of test images and the query budgets used by HSJA and Boundary Attack.

Circularity Check

0 steps flagged · score 0.0 of 10

No circular derivation; the robustness claim is empirical and not forced by the paper's own equations or self-citations.

full rationale

The paper does not attempt a mathematical derivation or a fitted-parameter prediction; it reports an empirical comparison of fine-tuning rules. The central robustness claim is supported by measured accuracy and mAP under FGSM, PGD, HAG, and SDHA, and no quantity entering those measurements is defined in terms of the conclusion it is used to support. The only self-citations (Berriche et al., 2024) appear as metric-practice references and are not load-bearing. The Section 7 explanation that approximate gradients "obfuscate" exact gradients is a causal hypothesis, and the lack of a black-box advantage (Tables 3-4) is a validity threat consistent with gradient masking, but neither is a circular reduction: the reported white-box robustness is not defined as "approximate gradients" nor fitted to reproduce itself. No circular step can therefore be exhibited from the paper's own equations or citation chain.

Assumptions & free parameters 2 free parameters · 2 assumptions · 0 invented entities

The central claims rest on unstated domain assumptions rather than mathematical axioms: that white-box gradient attacks are a fair robustness measure, and that the small implied evaluation set can support the performance comparisons. Fine-tuning and attack hyperparameters are hand-chosen and could affect the results. No new entities are introduced.

free parameters (2)
  • Fine-tuning hyperparameters (learning rates 1e-5 and 1e-4, 20 or 10 epochs, batch size 32, weight decay 5e-4)
    Hand-chosen without per-dataset tuning; the reported performance and robustness could depend on these choices, and no sensitivity analysis is given.
  • Adversarial attack settings (epsilon up to 0.5, PGD 5 iterations, step size epsilon/3)
    Evaluation parameters are selected by the authors; the large epsilon range up to 0.5 (half the pixel range) favors methods that degrade slowly, and a fixed 5-iteration budget may understate the strength of iterative attacks on masked gradients.
assumptions (2)
  • domain assumption Standard gradient-based white-box attacks (FGSM, PGD) are a fair and sufficient measure of adversarial robustness.
    Section 6.2.1 uses only FGSM/PGD and HAG/SDHA to claim robustness. Athalye et al. 2018, cited in Section 5, shows such attacks can be deceived by obfuscated gradients; the paper's own black-box results (Tables 3-4) show no sign-symmetry advantage, exactly the gradient-masking signature.
  • domain assumption The evaluation set used for accuracy tables is large enough that differences of several percent are meaningful.
    Table 1 values in increments of 3.125% imply roughly 32 test images per configuration, yet the text says 5,000 images for adversarial testing. No confidence intervals are reported, so the claimed performance parity may be within noise.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Sign-Symmetry Learning Rules are Robust Fine-Tuners." pith.science (2026). https://pith.science/paper/LXGDZ2E5

@misc{pith2026250205925,
  author       = {Pith},
  title        = {Pith review of: Sign-Symmetry Learning Rules are Robust Fine-Tuners},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/LXGDZ2E5}},
  note         = {Machine review of arXiv:2502.05925}
}
read the original abstract

Backpropagation (BP) has long been the predominant method for training neural networks due to its effectiveness. However, numerous alternative approaches, broadly categorized under feedback alignment, have been proposed, many of which are motivated by the search for biologically plausible learning mechanisms. Despite their theoretical appeal, these methods have consistently underperformed compared to BP, leading to a decline in research interest. In this work, we revisit the role of such methods and explore how they can be integrated into standard neural network training pipelines. Specifically, we propose fine-tuning BP-pre-trained models using Sign-Symmetry learning rules and demonstrate that this approach not only maintains performance parity with BP but also enhances robustness. Through extensive experiments across multiple tasks and benchmarks, we establish the validity of our approach. Our findings introduce a novel perspective on neural network training and open new research directions for leveraging biologically inspired learning rules in deep learning.

Figures

Figures reproduced from arXiv: 2502.05925 by the authors.

Figure 1
Figure 1. Credit assignment methods can be ranked based on the amount of weight transport each method employs. Backpropagation is known to use full-weight transport, as the algorithm utilizes the same forward weight matrix to conduct the backward pass. Uniform Sign-concordant Feedback (uSF) uses the sign of the weight matrix as a backward matrix, thus using less information than BP. Further Fixed Random Magnitude Sign-Concord… view at source ↗
Figure 2
Figure 2. Accuracy of ResNet18 under FGSM (top row) and PGD (bottom row) adversarial attacks. Note the gradual decline in Sign￾Symmetry methods compared to BP’s sharp drop. 0.0 0.1 0.2 0.3 0.4 0.5 Epsilon 0 20 40 60 80 100 mAP (%) CIFAR_10 - HAG 0.0 0.1 0.2 0.3 0.4 0.5 Epsilon 0 20 40 60 80 100 mAP (%) MS_COCO - HAG 0.0 0.1 0.2 0.3 0.4 0.5 Epsilon 0 20 40 60 80 100 mAP (%) ImageNet - HAG 0.0 0.1 0.2 0.3 0.4 0.5 Epsilon 0 20 4… view at source ↗
Figure 3
Figure 3. Adversarial robustness of VGG-16 under HAG and SDHA attacks. Trends mirror AlexNet: BP performance collapses sharply (e.g., mAP@5000 drops by 28.65% on CIFAR-10 at ϵ = 0.5), while Sign-Symmetry methods retain robustness across all datasets. Metrics: mAP@5000 for CIFAR-10/MSCOCO, mAP@1000 for ImageNet. 7 [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figures from the paper (3 more)
Figure 4
Figure 4. Figure 4: Accuracy of AlexNet under FGSM (top row) and PGD (bottom row) adversarial attacks across different datasets. Higher ϵ values indicate stronger perturbations. 0.0 0.1 0.2 0.3 0.4 0.5 Epsilon 0 20 40 60 80 100 Accuracy (%) CIFAR_10 - FGSM 0.0 0.1 0.2 0.3 0.4 0.5 Epsilon …
Figure 5
Figure 5. Figure 5: Accuracy of VGG16 under FGSM (top row) and PGD (bottom row) adversarial attacks across different datasets. The robustness gap between methods is particularly pronounced at larger ϵ values. 12 [PITH_FULL_IMAGE:figures/full_fig_p012_5.png]
Figure 6
Figure 6. Figure 6: Adversarial robustness of AlexNet under HAG and SDHA attacks. Results are shown for CIFAR-10, MSCOCO , and ImageNet on mAP@5000. Performance degrades with increasing perturbation strength (ϵ) for BP fine-tuning, while Sign-Symmetry methods (frSF, brSF, uSF) maintain st…

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

50 extracted references · 30 canonical work pages

  1. [1]

    write newline

    " write newline "" before.all 'output.state := FUNCTION n.dashify 't := "" t empty not t #1 #1 substring "-" = t #1 #2 substring "--" = not "--" * t #2 global.max substring 't := t #1 #1 substring "-" = "-" * t #2 global.max substring 't := while if t #1 #1 substring * t #2 global.max substring 't := if while FUNCTION format.date year duplicate empty "emp...

  2. [2]

    Obfuscated gradients give a false sense of security: Circumventing defenses to adversarial examples

    Athalye, A., Carlini, N., and Wagner, D. Obfuscated gradients give a false sense of security: Circumventing defenses to adversarial examples. In International conference on machine learning, pp.\ 274--283. PMLR, 2018

  3. [3]

    E., and Lillicrap, T

    Bartunov, S., Santoro, A., Richards, B., Marris, L., Hinton, G. E., and Lillicrap, T. Assessing the scalability of biologically-motivated deep learning algorithms and architectures. Advances in neural information processing systems, 31, 2018

  4. [4]

    How auto-encoders could provide credit assignment in deep networks via target propagation

    Bengio, Y. How auto-encoders could provide credit assignment in deep networks via target propagation. arXiv preprint arXiv:1407.7906, 2014

  5. [5]

    Leveraging High-Resolution Features for Improved Deep Hashing-based Image Retrieval

    Berriche, A., Zakaria, M. A., and Baghdadi, R. Leveraging high-resolution features for improved deep hashing-based image retrieval. arXiv preprint arXiv:2403.13747, 2024

  6. [6]

    Bliss, T. V. and L mo, T. Long-lasting potentiation of synaptic transmission in the dentate area of the anaesthetized rabbit following stimulation of the perforant path. The Journal of physiology, 232 0 (2): 0 331--356, 1973

  7. [7]

    Decision-based adversarial attacks: Reliable attacks against black-box machine learning models, 2018

    Brendel, W., Rauber, J., and Bethge, M. Decision-based adversarial attacks: Reliable attacks against black-box machine learning models, 2018. URL https://arxiv.org/abs/1712.04248

  8. [8]

    Cao, Z., Long, M., Wang, J., and Yu, P. S. Hashnet: Deep learning to hash by continuation. In Proceedings of the IEEE international conference on computer vision, pp.\ 5608--5617, 2017

Show all 50 references
  1. [9]

    On evaluating adversarial robustness

    Carlini, N., Athalye, A., Papernot, N., Brendel, W., Rauber, J., Tsipras, D., Goodfellow, I., Madry, A., and Kurakin, A. On evaluating adversarial robustness. arXiv preprint arXiv:1902.06705, 2019

  2. [10]

    I., and Wainwright, M

    Chen, J., Jordan, M. I., and Wainwright, M. J. Hopskipjumpattack: A query-efficient decision-based attack, 2020. URL https://arxiv.org/abs/1904.02144

  3. [11]

    Nus-wide: a real-world web image database from national university of singapore

    Chua, T.-S., Tang, J., Hong, R., Li, H., Luo, Z., and Zheng, Y. Nus-wide: a real-world web image database from national university of singapore. In Proceedings of the ACM international conference on image and video retrieval, pp.\ 1--9, 2009

  4. [12]

    The recent excitement about neural networks

    Crick, F. The recent excitement about neural networks. Nature, 337 0 (6203): 0 129--132, 1989

  5. [13]

    M., \'S wirszcz, G., Jaderberg, M., Osindero, S., Vinyals, O., and Kavukcuoglu, K

    Czarnecki, W. M., \'S wirszcz, G., Jaderberg, M., Osindero, S., Vinyals, O., and Kavukcuoglu, K. Understanding synthetic gradients and decoupled neural interfaces. In International Conference on Machine Learning, pp.\ 904--912. PMLR, 2017

  6. [14]

    Imagenet: A large-scale hierarchical image database

    Deng, J., Dong, W., Socher, R., Li, L.-J., Li, K., and Fei-Fei, L. Imagenet: A large-scale hierarchical image database. In 2009 IEEE conference on computer vision and pattern recognition, pp.\ 248--255. Ieee, 2009

  7. [15]

    and Liu, L

    Fang, Y. and Liu, L. Scalable supervised online hashing for image retrieval. Journal of Computational Design and Engineering, 8 0 (5): 0 1391--1406, 2021

  8. [16]

    Goodfellow, I. J. Explaining and harnessing adversarial examples. arXiv preprint arXiv:1412.6572, 2014

  9. [17]

    Competitive learning: From interactive activation to adaptive resonance

    Grossberg, S. Competitive learning: From interactive activation to adaptive resonance. Cognitive science, 11 0 (1): 0 23--63, 1987

  10. [18]

    Deep residual learning for image recognition

    He, K., Zhang, X., Ren, S., and Sun, J. Deep residual learning for image recognition. In Proceedings of the IEEE conference on computer vision and pattern recognition, pp.\ 770--778, 2016

  11. [19]

    Hebb, D. O. The organization of behavior: A neuropsychological theory. Psychology press, 2005

  12. [20]

    Hinton, G. et al. How to do backpropagation in a brain. In Invited talk at the NIPS’2007 deep learning workshop, volume 656, pp.\ 1--16, 2007

  13. [21]

    An efficient supervised deep hashing method for image retrieval

    Hussain, A., Li, H.-C., Ali, M., Wali, S., Hussain, M., and Rehman, A. An efficient supervised deep hashing method for image retrieval. Entropy, 24 0 (10): 0 1425, 2022

  14. [22]

    Learning multiple layers of features from tiny images

    Krizhevsky, A., Hinton, G., et al. Learning multiple layers of features from tiny images. 2009

  15. [23]

    Krizhevsky, A., Sutskever, I., and Hinton, G. E. Imagenet classification with deep convolutional neural networks. Advances in neural information processing systems, 25, 2012

  16. [24]

    J., Prakash, P

    Lansdell, B. J., Prakash, P. R., and Kording, K. P. Learning to solve the credit assignment problem. arXiv preprint arXiv:1906.00889, 2019

  17. [25]

    Learning process in an asymmetric threshold network

    Le Cun, Y. Learning process in an asymmetric threshold network. In Disordered systems and biological organization, pp.\ 233--240. Springer, 1986

  18. [26]

    Difference target propagation

    Lee, D.-H., Zhang, S., Fischer, A., and Bengio, Y. Difference target propagation. In Machine Learning and Knowledge Discovery in Databases: European Conference, ECML PKDD 2015, Porto, Portugal, September 7-11, 2015, Proceedings, Part I 15, pp.\ 498--515. Springer, 2015

  19. [27]

    How important is weight symmetry in backpropagation? In Proceedings of the AAAI Conference on Artificial Intelligence, volume 30, 2016

    Liao, Q., Leibo, J., and Poggio, T. How important is weight symmetry in backpropagation? In Proceedings of the AAAI Conference on Artificial Intelligence, volume 30, 2016

  20. [28]

    P., Cownden, D., Tweed, D

    Lillicrap, T. P., Cownden, D., Tweed, D. B., and Akerman, C. J. Random feedback weights support learning in deep neural networks. arXiv preprint arXiv:1411.0247, 2014

  21. [29]

    P., Cownden, D., Tweed, D

    Lillicrap, T. P., Cownden, D., Tweed, D. B., and Akerman, C. J. Random synaptic feedback weights support error backpropagation for deep learning. Nature communications, 7 0 (1): 0 13276, 2016

  22. [30]

    P., Santoro, A., Marris, L., Akerman, C

    Lillicrap, T. P., Santoro, A., Marris, L., Akerman, C. J., and Hinton, G. Backpropagation and the brain. Nature Reviews Neuroscience, 21 0 (6): 0 335--346, 2020

  23. [31]

    Lin, T.-Y., Maire, M., Belongie, S., Hays, J., Perona, P., Ramanan, D., Doll \'a r, P., and Zitnick, C. L. Microsoft coco: Common objects in context. In Computer Vision--ECCV 2014: 13th European Conference, Zurich, Switzerland, September 6-12, 2014, Proceedings, Part V 13, pp....

  24. [32]

    A smart adversarial attack on deep hashing based image retrieval

    Lu, J., Chen, M., Sun, Y., Wang, W., Wang, Y., and Yang, X. A smart adversarial attack on deep hashing based image retrieval. In Proceedings of the 2021 international conference on multimedia retrieval, pp.\ 227--235, 2021

  25. [33]

    Image retrieval algorithm based on locality-sensitive hash using convolutional neural network and attention mechanism

    Luo, Y., Li, W., Ma, X., and Zhang, K. Image retrieval algorithm based on locality-sensitive hash using convolutional neural network and attention mechanism. Information, 13 0 (10): 0 446, 2022

  26. [34]

    Towards deep learning models resistant to adversarial attacks

    Madry, A. Towards deep learning models resistant to adversarial attacks. arXiv preprint arXiv:1706.06083, 2017

  27. [35]

    Regulation of synaptic efficacy by coincidence of postsynaptic aps and epsps

    Markram, H., L \"u bke, J., Frotscher, M., and Sakmann, B. Regulation of synaptic efficacy by coincidence of postsynaptic aps and epsps. Science, 275 0 (5297): 0 213--215, 1997

  28. [36]

    Foolbox: A python toolbox to benchmark the robustness of machine learning models

    Rauber, J., Brendel, W., and Bethge, M. Foolbox: A python toolbox to benchmark the robustness of machine learning models. arXiv preprint arXiv:1707.04131, 2017

  29. [37]

    E., Hinton, G

    Rumelhart, D. E., Hinton, G. E., and Williams, R. J. Learning representations by back-propagating errors. nature, 323 0 (6088): 0 533--536, 1986

  30. [38]

    Schwartz, E. L. Computational neuroscience. Mit Press, 1993

  31. [39]

    R., Resende, L., Orenstein, P., and Oliveira, R

    Schwengber, L. R., Resende, L., Orenstein, P., and Oliveira, R. I. Deep hashing via householder quantization. arXiv preprint arXiv:2311.04207, 2023

  32. [40]

    and Zisserman, A

    Simonyan, K. and Zisserman, A. Very deep convolutional networks for large-scale image recognition. arXiv preprint arXiv:1409.1556, 2014

  33. [41]

    and Gupta, S

    Singh, A. and Gupta, S. Learning to hash: a comprehensive survey of deep learning-based hashing methods. Knowledge and Information Systems, 64 0 (10): 0 2565--2597, 2022

  34. [42]

    Intriguing properties of neural networks

    Szegedy, C. Intriguing properties of neural networks. arXiv preprint arXiv:1312.6199, 2013

  35. [43]

    Adversarial risk and the dangers of evaluating against weak attacks

    Uesato, J., O’donoghue, B., Kohli, P., and Oord, A. Adversarial risk and the dangers of evaluating against weak attacks. In International conference on machine learning, pp.\ 5025--5034. PMLR, 2018

  36. [44]

    R., Banburski, A., Pant, N., and Poggio, T

    Vuyyuru, M. R., Banburski, A., Pant, N., and Poggio, T. Biologically inspired mechanisms for adversarial robustness. Advances in Neural Information Processing Systems, 33: 0 2135--2146, 2020

  37. [45]

    Supervised hashing for image retrieval via image representation learning

    Xia, R., Pan, Y., Lai, H., Liu, C., and Yan, S. Supervised hashing for image retrieval via image representation learning. In Proceedings of the AAAI conference on artificial intelligence, volume 28, 2014

  38. [46]

    Hyp2 loss: Beyond hypersphere metric space for multi-label image retrieval

    Xu, C., Chai, Z., Xu, Z., Yuan, C., Fan, Y., and Wang, J. Hyp2 loss: Beyond hypersphere metric space for multi-label image retrieval. In Proceedings of the 30th ACM international conference on multimedia, pp.\ 3173--3184, 2022

  39. [47]

    Adversarial examples for hamming space search

    Yang, E., Liu, T., Deng, C., and Tao, D. Adversarial examples for hamming space search. IEEE transactions on cybernetics, 50 0 (4): 0 1473--1484, 2018

  40. [48]

    Deep parameter-free attention hashing for image retrieval

    Yang, W., Wang, L., and Cheng, S. Deep parameter-free attention hashing for image retrieval. Scientific Reports, 12 0 (1): 0 7082, 2022

  41. [49]

    Semantic-aware adversarial training for reliable deep hashing retrieval

    Yuan, X., Zhang, Z., Wang, X., and Wu, L. Semantic-aware adversarial training for reliable deep hashing retrieval. IEEE Transactions on Information Forensics and Security, 2023

  42. [50]

    S., and Hsieh, C.-J

    Zhang, H., Chen, H., Song, Z., Boning, D., Dhillon, I. S., and Hsieh, C.-J. The limitations of adversarial training and the blind-spot attack. arXiv preprint arXiv:1901.04684, 2019

Pith tools

Reviewed August 8, 2026 · model on record in the stance chip above.