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09/10/2023
Streaming Semidefinite Programs: O(√(n)) Passes, Small Space and Fast Runtime
We study the problem of solving semidefinite programs (SDP) in the strea...
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08/28/2023
Solving Attention Kernel Regression Problem via Pre-conditioner
Large language models have shown impressive performance in many tasks. O...
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07/15/2023
A Nearly-Linear Time Algorithm for Structured Support Vector Machines
Quadratic programming is a fundamental problem in the field of convex op...
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06/07/2023
Efficient Alternating Minimization with Applications to Weighted Low Rank Approximation
Weighted low rank approximation is a fundamental problem in numerical li...
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04/07/2023
Convex Minimization with Integer Minima in O(n^4) Time
Given a convex function f on ℝ^n with an integer minimizer, we show how ...
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02/21/2023
Low Rank Matrix Completion via Robust Alternating Minimization in Nearly Linear Time
Given a matrix M∈ℝ^m× n, the low rank matrix completion problem asks us ...
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02/01/2023
A Nearly-Optimal Bound for Fast Regression with ℓ_∞ Guarantee
Given a matrix A∈ℝ^n× d and a vector b∈ℝ^n, we consider the regression p...
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10/20/2022
Sketching Meets Differential Privacy: Fast Algorithm for Dynamic Kronecker Projection Maintenance
Projection maintenance is one of the core data structure tasks. Efficien...
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10/15/2022
Sketching for First Order Method: Efficient Algorithm for Low-Bandwidth Channel and Vulnerability
Sketching is one of the most fundamental tools in large-scale machine le...
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10/08/2022
Dynamic Tensor Product Regression
In this work, we initiate the study of Dynamic Tensor Product Regression...
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07/19/2022
Accelerating Frank-Wolfe Algorithm using Low-Dimensional and Adaptive Data Structures
In this paper, we study the problem of speeding up a type of optimizatio...
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04/07/2022
Speeding Up Sparsification using Inner Product Search Data Structures
We present a general framework that utilizes different efficient data st...
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12/14/2021
Training Multi-Layer Over-Parametrized Neural Network in Subquadratic Time
We consider the problem of training a multi-layer over-parametrized neur...
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08/21/2021