82 citations · 246 across the 15 of their papers we have counts for
5 papers · 1 filter
The Optimization Landscape of SGD Across the Feature Learning Strength
Alexander Atanasov, Alexandru Meterez, James B. Simon +1
We consider neural networks (NNs) where the final layer is down-scaled by a fixed hyperparameter . Recent work has identified as controlling the strength of feature learning…
How Feature Learning Can Improve Neural Scaling Laws
Blake Bordelon, Alexander Atanasov, Cengiz Pehlevan
We develop a solvable model of neural scaling laws beyond the kernel limit. Theoretical analysis of this model shows how performance scales with model size, training time, and the…
Risk and cross validation in ridge regression with correlated samples
Alexander Atanasov, Jacob A. Zavatone-Veth, Cengiz Pehlevan
Recent years have seen substantial advances in our understanding of high-dimensional ridge regression, but existing theories assume that training examples are independent. By lever…
Scaling and renormalization in high-dimensional regression
Alexander Atanasov, Jacob A. Zavatone-Veth, Cengiz Pehlevan
From benign overfitting in overparameterized models to rich power-law scalings in performance, simple ridge regression displays surprising behaviors sometimes thought to be limited…
A Dynamical Model of Neural Scaling Laws
Blake Bordelon, Alexander Atanasov, Cengiz Pehlevan
On a variety of tasks, the performance of neural networks predictably improves with training time, dataset size and model size across many orders of magnitude. This phenomenon is k…