30 citations · 194 across the 56 of their papers we have counts for
8 papers · 1 filter
Phase transition in the two star Exponential Random Graph Model
Sumit Mukherjee
This paper gives a way to simulate from the two star probability distribution on the space of simple graphs via auxiliary variables. Using this simulation scheme, the model is expl…
Statistics of the two-star ERGM
Sumit Mukherjee, Yuanzhe Xu
In this paper, we explore the two-star Exponential Random Graph Model, which is a two parameter exponential family on the space of simple labeled graphs. We introduce auxiliary var…
Degeneracy in sparse ERGMs with functions of degrees as sufficient statistics
Sumit Mukherjee
A sufficient criterion for "non-degeneracy" is given for Exponential Random Graph Models on sparse graphs with sufficient statistics which are functions of the degree sequence. Thi…
Universal Limit Theorems in Graph Coloring Problems With Connections to Extremal Combinatorics
Bhaswar B. Bhattacharya, Persi Diaconis, Sumit Mukherjee
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. These can be seen as generalizations of the birthday pr…
Estimation in exponential families on permutations
Sumit Mukherjee
Asymptotics of the normalizing constant is computed for a class of one parameter exponential families on permutations which includes Mallows model with Spearmans's Footrule and Spe…
Continuous Order Identification of PHWR Models Under Step-back for the Design of Hyper-damped Power Tracking Controller with Enhanced Reactor Safety
Saptarshi Das, Sumit Mukherjee, Shantanu Das +2
In this paper, discrete time higher integer order linear transfer function models have been identified first for a 500 MWe Pressurized Heavy Water Reactor (PHWR) which has highly n…
Exact and Asymptotic Results on Coarse Ricci Curvature of Graphs
Bhaswar B. Bhattacharya, Sumit Mukherjee
Ricci curvature was proposed by Ollivier in a general framework of metric measure spaces, and it has been studied extensively in the context of graphs in recent years. In this pape…
Comparative Studies on Decentralized Multiloop PID Controller Design Using Evolutionary Algorithms
Sayan Saha, Saptarshi Das, Anindya Pakhira +2
Decentralized PID controllers have been designed in this paper for simultaneous tracking of individual process variables in multivariable systems under step reference input. The co…