Research map / Optimization / Implicit bias and generalization
An Unconstrained Layer-Peeled Perspective on Neural Collapse
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Train without explicit feature constraints or regularization using cross-entropy gradient flow | ULPM · ULPM | neural-collapse conditions at global minimizers | Helped |
| Use unconstrained training without weight decay | ResNet18 · MNIST and CIFAR-10 | neural-collapse metrics | Helped |
| Use cross-entropy gradient flow after the loss falls below log2 | ULPM · ULPM | loss | Helped |
| Use second-order tangent-space landscape analysis to exclude non-optimal directions | ULPM · ULPM | loss along fixed-norm directions | Helped |
| Rely on first-order KKT characterization alone | ULPM · ULPM | identification of neural-collapse solutions | Hurt |
Closest papers by meaning
- Neural Collapse under Gradient Flow on Shallow ReLU Networks for Orthogonally Separable Data (NeurIPS 2025 · similarity 0.90)
- Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse (ICLR 2025 · similarity 0.90)
- Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime (ICML 2025 · similarity 0.89)
- Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers (NeurIPS 2025 · similarity 0.88)
- The Persistence of Neural Collapse Despite Low-Rank Bias (NeurIPS 2025 · similarity 0.88)
- Neural Collapse in Cumulative Link Models for Ordinal Regression: An Analysis with Unconstrained Feature Model (NeurIPS 2025 · similarity 0.88)
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