Quantum speedups for linear programming via interior point methods

S Apers, S Gribling - arxiv preprint arxiv:2311.03215, 2023 - arxiv.org
We describe a quantum algorithm based on an interior point method for solving a linear
program with $ n $ inequality constraints on $ d $ variables. The algorithm explicitly returns …

A Faster -means++ Algorithm

J Liang, S Sarkhel, Z Song, C Yin, J Yin… - arxiv preprint arxiv …, 2022 - arxiv.org
$ k $-means++ is an important algorithm for choosing initial cluster centers for the $ k $-
means clustering algorithm. In this work, we present a new algorithm that can solve the $ k …

Inverting the Leverage Score Gradient: An Efficient Approximate Newton Method

C Li, Z Song, Z Xu, J Yin - arxiv preprint arxiv:2408.11267, 2024 - arxiv.org
Leverage scores have become essential in statistics and machine learning, aiding
regression analysis, randomized matrix computations, and various other tasks. This paper …

How to Inverting the Leverage Score Distribution?

Z Li, Z Song, W Wang, J Yin, Z Yu - arxiv preprint arxiv:2404.13785, 2024 - arxiv.org
Leverage score is a fundamental problem in machine learning and theoretical computer
science. It has extensive applications in regression analysis, randomized algorithms, and …