1.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- S.N. Bose National Centre for Basic SciencesIN60 papers
- Saha Institute of Nuclear PhysicsIN55 papers
- Indian Statistical Institute, Bangalore CentreIN51 papers
- Jadavpur UniversityIN41 papers
- University of CalcuttaIN39 papers
- Indian Institute of Science BangaloreIN35 papers
- Institute of Mathematical SciencesIN34 papers
- Indian Institute of Technology MadrasIN28 papers
- Bose InstituteIN27 papers
- Centre National de la Recherche ScientifiqueFR26 papers
- Indian Statistical Institute, Delhi CentreIN20 papers
- Tata Institute of Fundamental ResearchIN20 papers
67 papers · 1 filter
On High Dimensional Behaviour of Some Two-Sample Tests Based on Ball Divergence
Bilol Banerjee, Anil K. Ghosh
In this article, we propose some two-sample tests based on ball divergence and investigate their high dimensional behavior. First, we study their behavior for High Dimension, Low S…
Peripherally automorphic unital completely positive maps
B. V. Rajarama Bhat, Samir Kar, Bharat Talwar
We identify and characterize unital completely positive (UCP) maps on finite dimensional -algebras for which the Choi-Effros product extended to the space generated by periphe…
Synchronization in temporal simplicial complexes
Md Sayeed Anwar, Dibakar Ghosh
The stability analysis of synchronization in time-varying higher-order networked structures (simplicial complexes) is one of the challenging problem due to the presence of time-var…
Synchronization in repulsively coupled oscillators
Simin Mirzaei, Md Sayeed Anwar, Fatemeh Parastesh +2
A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in opposite directions. It has been difficult to achieve complete synchrony in coupled ide…
Second moment of degree three -functions
Sampurna Pal
Let be a Hecke-Maaß cusp form for . We obtain the first non-trivial upper bound of the second moment of in -aspect: $$\int_{T}^{2T}|L(F,1…
Analyzing Semantic Faithfulness of Language Models via Input Intervention on Question Answering
Akshay Chaturvedi, Swarnadeep Bhar, Soumadeep Saha +2
Transformer-based language models have been shown to be highly effective for several NLP tasks. In this paper, we consider three transformer models, BERT, RoBERTa, and XLNet, in bo…
Minimal Leptogenesis in Brane-inspired Cosmology
Alessandro Di Marco, Amit Dutta Banik, Anish Ghoshal +1
We discuss how a post inflationary reheating phase characterized by a nonstandard multiple scalar field cosmology can change the thermal history of the universe, affecting minimal…
Extreme events in a complex network: interplay between degree distribution and repulsive interaction
Arnob Ray, Timo Bröhl, Arindam Mishra +5
The role of topological heterogeneity in the origin of extreme events in a network is investigated here. The dynamics of the oscillators associated with the nodes are assumed to be…
The RED-BLUE SEPARATION problem on graphs
Subhadeep Ranjan Dev, Sanjana Dey, Florent Foucaud +2
We introduce the Red-Blue Separation problem on graphs, where we are given a graph whose vertices are colored either red or blue, and we want to select a (small) subset $…
Uncovering the Fractal Nature of Water Vapor Distribution above the Surface of the Earth
Anirudha Menon, Banasri Basu
Fractals have been at the heart of geophysical and geospatial studies in the recent past. We examine the emergent fractal character of water vapor distributions above the surface o…
Posterior Contraction rate and Asymptotic Bayes Optimality for one-group shrinkage priors in sparse normal means problem
Sayantan Paul, Arijit Chakrabarti
We consider a high-dimensional sparse normal means model where the goal is to estimate the mean vector assuming the proportion of non-zero means is unknown. We model the mean vecto…
Pinning in a system of swarmalators
Gourab Kumar Sar, Dibakar Ghosh, Kevin O'Keeffe
We study a population of swarmalators (swarming/mobile oscillators) which run on a ring and are subject to random pinning. The pinning represents the tendency of particles to stick…
The fundamental group and extensions of motives of Jacobians of curves
Subham Sarkar, Ramesh Sreekantan
In this paper we construct extensions of mixed Hodge structures coming from the mixed Hodge structure on the graded quotients of the group ring of the fundamental group of a smooth…
Algebraic Andô Dilation
K. Mahesh Krishna
We solve the Andô dilation problem for linear maps on vector space asked by Krishna and Johnson in \textit{[Oper. Matrices, 2022]}. More precisely, we show that any commuting linea…
Efficient Syndrome Decoder for Heavy Hexagonal QECC via Machine Learning
Debasmita Bhoumik, Ritajit Majumdar, Dhiraj Madan +3
Error syndromes for heavy hexagonal code and other topological codes such as surface code have typically been decoded by using Minimum Weight Perfect Matching (MWPM) based methods.…
Monitoring edge-geodetic sets in graphs
Subhadeep R. Dev, Sanjana Dey, Florent Foucaud +2
We introduce a new graph-theoretic concept in the area of network monitoring. In this area, one wishes to monitor the vertices and/or the edges of a network (viewed as a graph) in…
Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order
Rickmoy Samanta, Sashwat Tanay, Leo C. Stein
The closed-form solution of the 1.5 post-Newtonian (PN) accurate binary black hole (BBH) Hamiltonian system has proven to be difficult to obtain for a long time since its introduct…
On Language Clustering: A Non-parametric Statistical Approach
Anagh Chattopadhyay, Soumya Sankar Ghosh, Samir Karmakar
Any approach aimed at pasteurizing and quantifying a particular phenomenon must include the use of robust statistical methodologies for data analysis. With this in mind, the purpos…
Regular covariant representations and their Wold-type decomposition
Azad Rohilla, Harsh Trivedi, Shankar Veerabathiran
Olofsson introduced a growth condition regarding elements of an orbit for an expansive operator and generalized Richter's wandering subspace theorem. Later on, using the Moore-Penr…
Locally unidentifiable subset of quantum states and its resourcefulness in secret password distribution
Pratik Ghosal, Arkaprabha Ghosal, Subhendu B. Ghosh +1
We introduce a hitherto unexplored form of quantum nonlocality, termed local subset unidentifiability, that arises from the limitation of spatially separated parties to perfectly i…
Quantum gases on a torus
A. A. Araújo Filho, J. A. A. S. Reis, Subir Ghosh
This manuscript is aimed at studying the thermodynamic properties of quantum gases confined to a torus. To do that, we consider \textit{noninteracting} gases within the grand canon…
Berger-Coburn-Lebow representation for pure isometric representations of product system over
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
We obtain Berger-Coburn-Lebow (BCL)-representation for pure isometric covariant representation of product system over . Then the corresponding complete set of (join…
Neural Network Reconstruction of and its application in Teleparallel Gravity
Purba Mukherjee, Jackson Levi Said, Jurgen Mifsud
In this work, we explore the possibility of using artificial neural networks to impose constraints on teleparallel gravity and its extensions. We use the available Hubble pa…
The Zariski Cancellation Problem and related problems in Affine Algebraic Geometry
Neena Gupta
In this article, we shall discuss the solution to the Zariski Cancellation Problem in positive characteristic, various approaches taken so far towards the possible solution in char…