Publication
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Distribution of Classification Margins: Are All Data Equal?. (2021).
CBMM Memo 115.pdf (9.56 MB)

The Effects of Image Distribution and Task on Adversarial Robustness. (2021).
CBMM_Memo_116.pdf (5.44 MB)

From Associative Memories to Powerful Machines. (2021).
CBMM-Memo-114.pdf (1.01 MB)
Adding a second part (1.85 MB)


Biologically Inspired Mechanisms for Adversarial Robustness. (2020).
CBMM_Memo_110.pdf (3.14 MB)

Complexity Control by Gradient Descent in Deep Networks. Nature Communications 11, (2020).
s41467-020-14663-9.pdf (431.68 KB)

CUDA-Optimized real-time rendering of a Foveated Visual System. Shared Visual Representations in Human and Machine Intelligence (SVRHM) workshop at NeurIPS 2020 (2020). at <https://arxiv.org/abs/2012.08655>
Foveated_Drone_SVRHM_2020.pdf (13.44 MB)
v1 (12/15/2020) (14.7 MB)


Dreaming with ARC. Learning Meets Combinatorial Algorithms workshop at NeurIPS 2020 (2020).
CBMM Memo 113.pdf (1019.64 KB)

For interpolating kernel machines, the minimum norm ERM solution is the most stable. (2020).
CBMM_Memo_108.pdf (1015.14 KB)
Better bound (without inequalities!) (1.03 MB)


Hierarchically Local Tasks and Deep Convolutional Networks. (2020).
CBMM_Memo_109.pdf (2.12 MB)

Implicit dynamic regularization in deep networks. (2020).
TPR_ver2.pdf (2.29 MB)
Substantial edits (1.52 MB)
Edits that are extensive but minor in content (1.98 MB)
Extending theory, setting a post (2 MB)
Fine tuning (2.01 MB)
Corrections in Appendix about Neural Collapse (2.01 MB)
Small edits clarifying role of weight decay (2.39 MB)
Added: prove NC for multiclass+theorem on connected global minima (2.4 MB)








Loss landscape: SGD has a better view. (2020).
CBMM-Memo-107.pdf (1.03 MB)
Typos and small edits, ver11 (955.08 KB)
Small edits, corrected Hessian for spurious case (337.19 KB)



Stable Foundations for Learning: a framework for learning theory (in both the classical and modern regime). (2020).
Original file (584.54 KB)
Corrected typos and details of "equivalence" CV stability and expected error for interpolating machines. Added Appendix on SGD. (905.29 KB)
Edited Appendix on SGD. (909.19 KB)
Deleted Appendix. Corrected typos etc (880.27 KB)
Added result about square loss and min norm (898.03 KB)





Biologically-plausible learning algorithms can scale to large datasets. International Conference on Learning Representations, (ICLR 2019) (2019).
gk7779.pdf (721.53 KB)

Deep Recurrent Architectures for Seismic Tomography. 81st EAGE Conference and Exhibition 2019 (2019).
Double descent in the condition number. (2019).
Fixing typos, clarifying error in y, best approach is crossvalidation (837.18 KB)
Incorporated footnote in text plus other edits (854.05 KB)
Deleted previous discussion on kernel regression and deep nets: it will appear, extended, in a separate paper (795.28 KB)
RevisedPNASV2.pdf (261.24 KB)




Dynamics & Generalization in Deep Networks -Minimizing the Norm. NAS Sackler Colloquium on Science of Deep Learning (2019).
Properties of invariant object recognition in human one-shot learning suggests a hierarchical architecture different from deep convolutional neural networks. Vision Science Society (2019).
Theoretical Issues in Deep Networks. (2019).
CBMM Memo 100 v1 (1.71 MB)
CBMM Memo 100 v3 (8/25/2019) (1.31 MB)
CBMM Memo 100 v4 (11/19/2019) (1008.23 KB)



Theories of Deep Learning: Approximation, Optimization and Generalization . TECHCON 2019 (2019).
An analysis of training and generalization errors in shallow and deep networks. (2018).
CBMM-Memo-076.pdf (772.61 KB)
CBMM-Memo-076v2.pdf (2.67 MB)


Biologically-plausible learning algorithms can scale to large datasets. (2018).
CBMM-Memo-092.pdf (1.31 MB)

Can Deep Neural Networks Do Image Segmentation by Understanding Insideness?. (2018).
CBMM-Memo-095.pdf (1.96 MB)

Classical generalization bounds are surprisingly tight for Deep Networks. (2018).
CBMM-Memo-091.pdf (1.43 MB)
CBMM-Memo-091-v2.pdf (1.88 MB)


A fast, invariant representation for human action in the visual system. Journal of Neurophysiology (2018). doi:https://doi.org/10.1152/jn.00642.2017