Amatya Sharma

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20242026

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4 papers · 1 filter

cs.DS2026

Spectral Dual Fitting for $k$ -Means

Aditya Anand, Moses Charikar, Vincent Cohen-Addad +5

We give a new dual fitting algorithm which gives improved approximation ratios of $3 + ln 2 + ε (\approx 3.694)$ and $4.9 + ε$ for $k$ -Means in (high-dimensional) Euclidean and genera…

cs.DS2025

Min-CSPs on Complete Instances II: Polylogarithmic Approximation for Min-NAE-3-SAT

Aditya Anand, Euiwoong Lee, Davide Mazzali +1

This paper studies complete $k$ -Constraint Satisfaction Problems (CSPs), where an $n$ -variable instance has exactly one nontrivial constraint for each subset of $k$ variables, i.e.…

cs.DS2024

Min-CSPs on Complete Instances

Aditya Anand, Euiwoong Lee, Amatya Sharma

Given a fixed arity $k \geq 2$ , Min- $k$ -CSP on complete instances involves a set of $n$ variables $V$ and one nontrivial constraint for every $k$ -subset of variables (so there are…

cs.DS2024

A Decomposition Approach to the Weighted $k$ -server Problem

Nikhil Ayyadevara, Ashish Chiplunkar, Amatya Sharma

A natural variant of the classical online $k$ -server problem is the Weighted $k$ -server problem, where the cost of moving a server is its weight times the distance through which it…

Spectral Dual Fitting for k-Means

Min-CSPs on Complete Instances II: Polylogarithmic Approximation for Min-NAE-3-SAT

Min-CSPs on Complete Instances

A Decomposition Approach to the Weighted k-server Problem

Spectral Dual Fitting for $k$ -Means

A Decomposition Approach to the Weighted $k$ -server Problem