Arpon Basu

works on

ground state energy 1 operator norm 1 quantum algorithms 1 random matrix theory 1 syk model 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

collaborators

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3 papers · 1 filter

cs.DS2026

Optimal Sparsifiers for Abelian Cayley Graphs

Arpon Basu, Pravesh K. Kothari, Raghu Meka +1

We prove that for every Cayley graph $G$ over any finite abelian group $G$ , there is a weighted Cayley graph with $O (lo g ∣ G ∣)$ generators that is a spectral sparsifier f…

cs.DS2026

Sparsifying Sums of Positive Semidefinite Matrices

Arpon Basu, Pravesh K. Kothari, Yang P. Liu +1

In this paper, we revisit spectral sparsification for sums of arbitrary positive semidefinite (PSD) matrices. Concretely, for any collection of PSD matrices $\mathcal{A} = \{A_1, A…

cs.DS2025

Solving Random Planted CSPs below the $n^{k /2}$ Threshold

Arpon Basu, Jun-Ting Hsieh, Andrew D. Lin +1

We present a family of algorithms to solve random planted instances of any $k$ -ary Boolean constraint satisfaction problem (CSP). A randomly planted instance of a Boolean CSP is ge…

Optimal Sparsifiers for Abelian Cayley Graphs

Sparsifying Sums of Positive Semidefinite Matrices

Solving Random Planted CSPs below the nk/2 Threshold

Solving Random Planted CSPs below the $n^{k /2}$ Threshold