105 citations · 214 across the 30 of their papers we have counts for
5 papers · 1 filter
A construction of Maximally Recoverable LRCs for small number of local groups
Manik Dhar, Sivakanth Gopi
Maximally Recoverable Local Reconstruction Codes (LRCs) are codes designed for distributed storage to provide maximum resilience to failures for a given amount of storage redundanc…
Improved Field Size Bounds for Higher Order MDS Codes
Joshua Brakensiek, Manik Dhar, Sivakanth Gopi
Higher order MDS codes are an interesting generalization of MDS codes recently introduced by Brakensiek, Gopi and Makam (IEEE Trans. Inf. Theory 2022). In later works, they were sh…
Private Convex Optimization in General Norms
Sivakanth Gopi, Yin Tat Lee, Daogao Liu +2
We propose a new framework for differentially private optimization of convex functions which are Lipschitz in an arbitrary norm . Our algorithms are based on a regulariz…
Generic Reed-Solomon Codes Achieve List-decoding Capacity
Joshua Brakensiek, Sivakanth Gopi, Visu Makam
In a recent paper, Brakensiek, Gopi and Makam introduced higher order MDS codes as a generalization of MDS codes. An order- MDS code, denoted by , h…
Private Convex Optimization via Exponential Mechanism
Sivakanth Gopi, Yin Tat Lee, Daogao Liu
In this paper, we study private optimization problems for non-smooth convex functions on . We show that modifying the exponential mechanism…