ID3 learns log n-juntas in polynomial time under the smoothed analysis model for product distributions.
Fine-Grained Analysis of Optimization and Generalization for Overparameterized Two-Layer Neural Networks
4 Pith papers cite this work. Polarity classification is still indexing.
abstract
Recent works have cast some light on the mystery of why deep nets fit any data and generalize despite being very overparametrized. This paper analyzes training and generalization for a simple 2-layer ReLU net with random initialization, and provides the following improvements over recent works: (i) Using a tighter characterization of training speed than recent papers, an explanation for why training a neural net with random labels leads to slower training, as originally observed in [Zhang et al. ICLR'17]. (ii) Generalization bound independent of network size, using a data-dependent complexity measure. Our measure distinguishes clearly between random labels and true labels on MNIST and CIFAR, as shown by experiments. Moreover, recent papers require sample complexity to increase (slowly) with the size, while our sample complexity is completely independent of the network size. (iii) Learnability of a broad class of smooth functions by 2-layer ReLU nets trained via gradient descent. The key idea is to track dynamics of training and generalization via properties of a related kernel.
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Simple neural networks trained on crossing symmetry and one anchor point reproduce conformal correlators to within a few percent across many CFTs.
For symmetric target functions, chosen initial conditions in one-hidden-layer networks enable SGD to produce generalization guarantees, unlike random initialization.
Hybrid method applies pruning and quantization followed by MoE routing of compressed CNN experts to achieve large reductions in FLOPs and parameters with negligible accuracy loss on benchmarks.
citing papers explorer
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ID3 Learns Juntas for Smoothed Product Distributions
ID3 learns log n-juntas in polynomial time under the smoothed analysis model for product distributions.
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Neural Networks Reveal a Universal Bias in Conformal Correlators
Simple neural networks trained on crossing symmetry and one anchor point reproduce conformal correlators to within a few percent across many CFTs.
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On Symmetry and Initialization for Neural Networks
For symmetric target functions, chosen initial conditions in one-hidden-layer networks enable SGD to produce generalization guarantees, unlike random initialization.
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Hybrid Compression: Integrating Pruning and Quantization for Optimized Neural Networks
Hybrid method applies pruning and quantization followed by MoE routing of compressed CNN experts to achieve large reductions in FLOPs and parameters with negligible accuracy loss on benchmarks.