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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)