11 citations · 42 across the 15 of their papers we have counts for
9 papers · 1 filter
Spectral Graph Analysis: A Unified Explanation and Modern Perspectives
Subhadeep Mukhopadhyay, Kaijun Wang
Complex networks or graphs are ubiquitous in sciences and engineering: biological networks, brain networks, transportation networks, social networks, and the World Wide Web, to nam…
Unified Statistical Theory of Spectral Graph Analysis
Subhadeep Mukhopadhyay
The goal of this paper is to show that there exists a simple, yet universal statistical logic of spectral graph analysis by recasting it into a nonparametric function estimation pr…
Large Scale Signal Detection: A Unified Perspective
Subhadeep Mukhopadhyay
There is an overwhelmingly large literature and algorithms already available on `large scale inference problems' based on different modeling techniques and cultures. Our primary go…
Strength of Connections in a Random Graph: Definition, Characterization, and Estimation
Subhadeep Mukhopadhyay
How can the `affinity' or `strength' of ties of a random graph be characterized and compactly represented? How can concepts like Fourier and inverse-Fourier like transform be devel…
LP Approach to Statistical Modeling
Subhadeep Mukhopadhyay, Emanuel Parzen
We present an approach to statistical data modeling and exploratory data analysis called `LP Statistical Data Science.' It aims to generalize and unify traditional and novel statis…
LP Mixed Data Science : Outline of Theory
Emanuel Parzen, Subhadeep Mukhopadhyay
This article presents the theoretical foundation of a new frontier of research-`LP Mixed Data Science'-that simultaneously extends and integrates the practice of traditional and no…
United Statistical Algorithm, Small and Big Data: Future OF Statistician
Emanuel Parzen, Subhadeep Mukhopadhyay
This article provides the role of big idea statisticians in future of Big Data Science. We describe the `United Statistical Algorithms' framework for comprehensive unification of t…
Nonlinear Time Series Modeling: A Unified Perspective, Algorithm, and Application
Subhadeep Mukhopadhyay, Emanuel Parzen
A new comprehensive approach to nonlinear time series analysis and modeling is developed in the present paper. We introduce novel data-specific mid-distribution based Legendre Poly…
Modeling, dependence, classification, united statistical science, many cultures
Emanuel Parzen, Subhadeep Mukhopadhyay
Breiman (2001) proposed to statisticians awareness of two cultures: 1. Parametric modeling culture, pioneered by R.A.Fisher and Jerzy Neyman; 2. Algorithmic predictive culture, pio…