40 citations · 51 across the 5 of their papers we have counts for
7 papers
Group Testing with Runlength Constraints for Topological Molecular Storage
Abhishek Agarwal, Olgica Milenkovic, Srilakshmi Pattabiraman +1
Motivated by applications in topological DNA-based data storage, we introduce and study a novel setting of Non-Adaptive Group Testing (NAGT) with runlength constraints on the colum…
Online Convex Matrix Factorization with Representative Regions
Abhishek Agarwal, Jianhao Peng, Olgica Milenkovic
Matrix factorization (MF) is a versatile learning method that has found wide applications in various data-driven disciplines. Still, many MF algorithms do not adequately scale with…
Linear Programming Approximations for Index Coding
Abhishek Agarwal, Larkin Flodin, Arya Mazumdar
Index coding, a source coding problem over broadcast channels, has been a subject of both theoretical and practical interest since its introduction (by Birk and Kol, 1998). In shor…
Combinatorial Alphabet-Dependent Bounds for Locally Recoverable Codes
Abhishek Agarwal, Alexander Barg, Sihuang Hu +2
Locally recoverable (LRC) codes have recently been a focus point of research in coding theory due to their theoretical appeal and applications in distributed storage systems. In an…
Bounds on the Rate of Linear Locally Repairable Codes over Small Alphabets
Abhishek Agarwal, Arya Mazumdar
Locally repairable codes (LRC) have recently been a subject of intense research due to theoretical appeal and their application in distributed storage systems. In an LRC, any coord…
Local Partial Clique Covers for Index Coding
Abhishek Agarwal, Arya Mazumdar
Index coding, or broadcasting with side information, is a network coding problem of most fundamental importance. In this problem, given a directed graph, each vertex represents a u…
Security in Locally Repairable Storage
Abhishek Agarwal, Arya Mazumdar
In this paper we extend the notion of {\em locally repairable} codes to {\em secret sharing} schemes. The main problem that we consider is to find optimal ways to distribute shares…