8 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…
Gaussian to log-normal transition for independent sets in a percolated hypercube
Mriganka Basu Roy Chowdhury, Shirshendu Ganguly, Vilas Winstein
Independent sets in graphs, i.e., subsets of vertices where no two are adjacent, have long been studied, for instance as a model of hard-core gas. The -dimensional hypercube, $\…
Characterizing Gibbs states for area-tilted Brownian lines
Mriganka Basu Roy Chowdhury, Pietro Caputo, Shirshendu Ganguly
Gibbsian line ensembles are families of Brownian lines arising in many natural contexts such as the level curves of three dimensional Ising interfaces, the solid-on-solid model, mu…
Universality in prelimiting tail behavior for regular subgraph counts in the Poisson regime
Mriganka Basu Roy Chowdhury
Let be the number of copies of a small subgraph in an Erdős-Rényi graph where is chosen so that , a constant. Res…
Controlling Travel Path of Original Cobra
Mriganka Basu RoyChowdhury, Arabin K Dey
In this paper we propose a kernel based COBRA which is a direct approximation of the original COBRA. We propose a novel tuning procedure for original COBRA parameters based on this…