4 papers
An Illusion of Unlearning? Assessing Machine Unlearning Through Internal Representations
Yichen Gao, Altay Unal, Akshay Rangamani +1
While numerous machine unlearning (MU) methods have recently been developed with promising results in erasing the influence of forgotten data, classes, or concepts, they are also h…
Deep Neural Regression Collapse
Akshay Rangamani, Altay Unal
Neural Collapse is a phenomenon that helps identify sparse and low rank structures in deep classifiers. Recent work has extended the definition of neural collapse to regression pro…
Low Rank and Sparse Fourier Structure in Recurrent Networks Trained on Modular Addition
Akshay Rangamani
Modular addition tasks serve as a useful test bed for observing empirical phenomena in deep learning, including the phenomenon of \emph{grokking}. Prior work has shown that one-lay…
On Generalization Bounds for Neural Networks with Low Rank Layers
Andrea Pinto, Akshay Rangamani, Tomaso Poggio
While previous optimization results have suggested that deep neural networks tend to favour low-rank weight matrices, the implications of this inductive bias on generalization boun…