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Quantum speedups for linear programming via interior point methods
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 …
program with $ n $ inequality constraints on $ d $ variables. The algorithm explicitly returns …
A Faster -means++ Algorithm
$ 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 …
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
Leverage scores have become essential in statistics and machine learning, aiding
regression analysis, randomized matrix computations, and various other tasks. This paper …
regression analysis, randomized matrix computations, and various other tasks. This paper …
How to Inverting the Leverage Score Distribution?
Leverage score is a fundamental problem in machine learning and theoretical computer
science. It has extensive applications in regression analysis, randomized algorithms, and …
science. It has extensive applications in regression analysis, randomized algorithms, and …