10 papers
Fast segmentation of watermarked texts from large language models through an epidemic change-point framework
Soham Bonnerjee, Subhrajyoty Roy, Sayar Karmakar
With the growing use of large language models, concerns over content authenticity have spurred a variety of watermarking schemes. These schemes use secret keys to detect machine-ge…
Sharp Gaussian approximations for Decentralized Federated Learning
Soham Bonnerjee, Sayar Karmakar, Wei Biao Wu
Federated Learning has gained traction in privacy-sensitive collaborative environments, with local SGD emerging as a key optimization method in decentralized settings. While its co…
Joint Estimation in Potts Model
Somabha Mukherjee, Sumit Mukherjee, Sayar Karmakar
In this paper, we study estimation of parameters in a two-parameter Potts model with colors and coupling matrix . We characterize concrete sufficient conditions for existe…
Nonparametric regression of spatio-temporal data using infinite-dimensional covariates
Subhrajyoty Roy, Soudeep Deb, Sayar Karmakar +1
In spatio-temporal analysis, we often record data at specific time intervals but with varying spatial locations between these timepoints. We propose a conditional model to analyze…
Fast localization of anomalous patches in spatial data under dependence
Soham Bonnerjee, Sayar Karmakar, George Michailidis
We propose a scalable, provably accurate method for localizing an unknown number of multiple axis-aligned anomalous patches in spatial data under a general class of spatial depende…
Generalized percolation games on the -dimensional square lattice, and ergodicity of associated probabilistic cellular automata
Dhruv Bhasin, Sayar Karmakar, Moumanti Podder +1
Each vertex of the infinite -dimensional square lattice graph is assigned, independently, a label that reads trap with probability , target with probability , and open wit…