Publication
 Formation of Representations in Neural Networks. (2024).
 CBMM-Memo-150.pdf (4.03 MB)
 Feature learning in deep classifiers through Intermediate Neural Collapse. (2023).
 Feature_Learning_memo.pdf (2.16 MB)
 The Janus effects of SGD vs GD: high noise and low rank. (2023).
 Updated with appendix showing empirically that the main results extend to  deep nonlinear networks (2.95 MB)
 Small updates...typos... (616.82 KB)
 Norm-Based Generalization Bounds for Compositionally Sparse Neural Networks. (2023).
 Norm-based bounds for convnets.pdf (1.2 MB)
 Norm-based Generalization Bounds for Sparse Neural Networks. NeurIPS 2023 (2023). at <https://proceedings.neurips.cc/paper_files/paper/2023/file/8493e190ff1bbe3837eca821190b61ff-Paper-Conference.pdf>
 NeurIPS-2023-norm-based-generalization-bounds-for-sparse-neural-networks-Paper-Conference.pdf (577.69 KB)
 On the Implicit Bias Towards Minimal Depth of Deep Neural Networks. arXiv (2022). at <https://arxiv.org/abs/2202.09028>
 2202.09028.pdf (2 MB)
 Dynamics and Neural Collapse in Deep Classifiers trained with the Square Loss. (2021).
 v1.0 (4.61 MB)
 v1.4corrections to generalization section (5.85 MB)
 v1.7Small edits (22.65 MB)
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