5 citations · 8 across the 12 of their papers we have counts for
14 papers
Geometry-Adaptive Clustering on High-Dimensional Tori
Surojit Biswas, Soumyadip Paik, Buddhananda Banerjee
Multivariate angular data lie on a torus, but clustering methods often use the flat torus. We introduce curved-torus energy (CTE), a position-dependent dissimilarity based on restr…
Distribution-Free test for Changepoint Detection in Angular Mean Direction: Application in Finance
Surojit Biswas, Buddhananda Banerjee
In this paper, we propose a distribution-free test for detecting changepoint in the mean direction of angular data. The uncertainty in angular measurements is quantified through th…
Hyperbolic statistical inference for Treatment Effects with Circular biomarker of astigmatism
Buddhananda Banerjee, Surojit Biswas, Daitari Prusty
Circular biomarkers arise naturally in many biomedical applications, particularly in ophthalmology, where angular measurements such as astigmatism are routinely recorded. Similar d…
A Semi-Parametric Torus-to-Torus Regression Model with Geometric Loss: Application to Cyclone Data
Surojit Biswas, Buddhananda Banerjee
This study introduces a novel torus-to-torus regression framework to improve the analysis and prediction of cyclone-driven wind-wave directional dynamics. This research, to our kno…
Change-point problem: Direct estimation using a geometry inspired identifiable reparameterization
Buddhananda Banerjee, Arnab Kumar Laha
Estimation of mean shift in a temporally ordered sequence of random variables with a possible existence of change-point is an important problem in many disciplines. In the availabl…
Semi-parametric least-area linear-circular regression through Möbius transformation
Surojit Biswas, Buddhananda Banerjee
This paper introduces a novel regression model designed for angular response variables with linear predictors, utilizing a generalized Möbius transformation to define the regressio…
Intrinsic geometry-inspired dependent toroidal distribution: Application to regression model for astigmatism data
Buddhananda Banerjee, Surojit Biswas
This paper introduces a dependent toroidal distribution, to analyze astigmatism data following cataract surgery. Rather than utilizing the flat torus, we opt to represent the bivar…
Intrinsic Geometry-Based Angular Covariance: A Novel Framework for Nonparametric Changepoint Detection in Meteorological Data
Surojit Biswas, Buddhananda Banerjee, Arnab Kumar Laha
In many temporal datasets, the parameters of the underlying distribution may change abruptly at unknown times. Detecting such changepoints is crucial for numerous applications. Alt…
An Efficient Sampling from Circular Distributions and its Extension to Toroidal Distributions
Surojit Biswas, Buddhananda Banerjee
Sampling from circular distributions is a fundamental task in directional statistics. A key challenge in acceptance-rejection methods lies in selecting an efficient envelope densit…
A geometric approach in non-parametric Changepoint detection in circular data
Surojit Biswas, Buddhananda Banerjee, Arnab Kumar Laha
In many temporally ordered data sets, it is observed that the parameters of the underlying distribution change abruptly at unknown times. The detection of such changepoints is impo…
Sampling from the surface of a curved torus: A new genesis
Buddhananda Banerjee, Surojit Biswas
The distributions of toroidal data, often viewed as an extension of circular distributions, do not consider the intrinsic geometry of a curved torus. For the first time, Diaconis e…
MDAS: A Diagnostic Approach to Assess the Quality of Data Splitting in Machine Learning
Palash Ghosh, Bittu Karmakar, Eklavya Jain +3
In the field of machine learning, model performance is usually assessed by randomly splitting data into training and test sets. Different random splits, however, can yield markedly…
A model for the spread of an epidemic from local to global: A case study of COVID-19 in India
Buddhananda Banerjee, Pradumn Kumar Pandey, Bibhas Adhikari
In this paper we propose an epidemiological model for the spread of COVID-19. The dynamics of the spread is based on four fundamental categories of people in a population: Tested a…
On existence of a change in mean of functional data
Buddhananda Banerjee, Satyaki Mazumder
Functional data often arise as sequential temporal observations over a continuous state-space. A set of functional data with a possible change in its structure may lead to a wrong…