activity
20112025
most citedA hierarchy of eigencomputations for polynomial optimization on the sphere

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

cs.DS2025

Learning Confidence Ellipsoids and Applications to Robust Subspace Recovery

Chao Gao, Liren Shan, Vaidehi Srinivas +1

We study the problem of finding confidence ellipsoids for an arbitrary distribution in high dimensions. Given samples from a distribution and a confidence parameter , the go…

cs.DS2025

Computing High-dimensional Confidence Sets for Arbitrary Distributions

Chao Gao, Liren Shan, Vaidehi Srinivas +1

We study the problem of learning a high-density region of an arbitrary distribution over . Given a target coverage parameter , and sample access to an arbitrary di…

cs.LG2025

Volume Optimality in Conformal Prediction with Structured Prediction Sets

Chao Gao, Liren Shan, Vaidehi Srinivas +1

Conformal Prediction is a widely studied technique to construct prediction sets of future observations. Most conformal prediction methods focus on achieving the necessary coverage…

cs.CY2024

Error-Tolerant E-Discovery Protocols

Jinshuo Dong, Jason D. Hartline, Liren Shan +1

We consider the multi-party classification problem introduced by Dong, Hartline, and Vijayaraghavan (2022) in the context of electronic discovery (e-discovery). Based on a request…

math.OC2023★ 1 cited

A hierarchy of eigencomputations for polynomial optimization on the sphere

Benjamin Lovitz, Nathaniel Johnston

We introduce a convergent hierarchy of lower bounds on the minimum value of a real form over the unit sphere. The main practical advantage of our hierarchy over the real sum-of-squ…

cs.DS2011

Approximation Algorithms and Hardness of the k-Route Cut Problem

Julia Chuzhoy, Yury Makarychev, Aravindan Vijayaraghavan +1

We study the k-route cut problem: given an undirected edge-weighted graph G=(V,E), a collection {(s_1,t_1),(s_2,t_2),...,(s_r,t_r)} of source-sink pairs, and an integer connectivit…