4 papers
Effects of sparsity and superposition on loss in simple autoencoders
Mriganka Basu Roy Chowdhury, Eric McLaughlin Weiner
One of the major difficulties in the mechanistic interpretability of neural networks is the occurrence of polysemanticity, which suggests that each neuron is typically responsible…
Decoupling of clusters in independent sets in a percolated hypercube
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly, Vilas Winstein
Independent sets in graphs are sets of vertices containing no neighbors, and they represent a canonical spin system with hardcore constraints. Of particular interest is the setting…
Spectral properties of the zero temperature Edwards-Anderson model
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly
An Ising model with random couplings on a graph is a model of a spin glass. While the mean field case of the Sherrington-Kirkpatrick model is very well studied, the more realistic…
Invariance principle for the Gaussian Multiplicative Chaos via a high dimensional CLT with low rank increments
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly
Gaussian multiplicative chaos (GMC) is a canonical random fractal measure obtained by exponentiating log-correlated Gaussian processes, first constructed in the seminal work of Kah…