17 citations · 30 across the 23 of their papers we have counts for
4 papers · 1 filter
Ergodicity of a generalized probabilistic cellular automaton with parity-based neighbourhoods
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
We study a one-dimensional generalized probabilistic cellular automaton with universe , alphabet , parameters and such that $0…
On a class of probabilistic cellular automata with size- neighbourhood and their applications in percolation games
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
Different versions of percolation games on , with parameters and that indicate, respectively, the probability with which a site in is label…
Towards Size-Independent Generalization Bounds for Deep Operator Nets
Pulkit Gopalani, Sayar Karmakar, Dibyakanti Kumar +1
In recent times machine learning methods have made significant advances in becoming a useful tool for analyzing physical systems. A particularly active area in this theme has been…
An Empirical Study of the Occurrence of Heavy-Tails in Training a ReLU Gate
Sayar Karmakar, Anirbit Mukherjee
A particular direction of recent advance about stochastic deep-learning algorithms has been about uncovering a rather mysterious heavy-tailed nature of the stationary distribution…