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20 results for “sparse triangular linear system solve”

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cs.DCEmpiricalRecentJul 2, 2026

Elasticity in Parallel Sparse Triangular Solve

Raphael S. Steiner, Christos K. Matzoros, Pál András Papp, Toni Böhnlein +1 more

This paper introduces Stale Synchronous Parallel mode of execution for parallel sparse triangular linear system solve and presents a scheduler that achieves geometric-mean speed-ups of 7-30% over Grow…

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cs.DScs.DCTheoreticalRecentJul 27, 2026

Parallel Spectral Graph Sparsification via Low Diameter Decompositions

Yves Baumann, Gernot Zöcklein

A new solver-free parallel spectral sparsification algorithm for weighted graphs is presented, relying on low-diameter decompositions and independent sampling, eliminating dependence on target approxi…

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cs.LGcs.AIRecentJun 1, 2026

FOAM: Frequency and Operator Error-Based Adaptive Damping Method for Reducing Staleness-Oriented Error for Shampoo

Kyunghun Nam, Sumyeong Ahn

The paper proposes FOAM, an adaptive damping method that stabilizes the Shampoo optimization algorithm by dynamically controlling damping and eigendecomposition frequency, thereby reducing staleness-i…

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cs.DSTheoreticalRecentJul 17, 2026

A Unified Theory of Sparsification

Sanjeev Khanna, Aaron Putterman, Madhu Sudan

This paper introduces a structural theorem for the sparsifiability of real-valued codes, which generalizes both combinatorial and continuous notions of sparsification.

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cs.AREmpiricalRecentJun 16, 2026

CUTh-Solver: GPU-Accelerated Sparse Matrix Solver for High-Resolution Thermal Simulation of 3D ICs

Chenghan Wang, Zhen Zhuang, Shui Jiang, Siyuan Liang +8 more

This paper proposes CUTh-Solver, a GPU-accelerated Preconditioned Conjugate Gradient (PCG)-based sparse solver framework for high-resolution 3D IC thermal simulation, achieving significant speedup ove…

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cs.DSTheoreticalRecentJul 3, 2026

Optimality-Preserving Data Reduction for Maximum k-Cut (Full Version)

Michael Kaibel, Petra Mutzel

This paper introduces structured cut sets, a novel preprocessing technique for Maximum k-Cut, and extends existing techniques from Maximum Cut. The rules are optimality-preserving and yield significan…

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cs.DScs.CRmath.NTRecentMay 17, 2026

Module Lattice Security (Part III): Structured CVP Distance on the Log-Unit Lattice

Ming-Xing Luo

The paper analyzes the structured CVP distance on the log-unit lattice of cyclotomic fields, significantly reducing the conjectured CDPR factor for the ML-KEM cryptosystem from exponential to sub-poly…

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cs.DSTheoreticalRecentJul 9, 2026

Locally Approximating the Top Eigenvector of Bounded Entry Matrices

Nicolas Menand, Erik Waingarten

This paper presents a local computation algorithm to approximate the top eigenvector of a symmetric matrix with entries between -1 and 1, building on Swartworth and Woodruff's work.

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cs.ITTheoreticalRecentJun 26, 2026

Deriving Approximate Message Passing from the Convex Gaussian Min-Max Theorem

Vikrant Malik, Babak Hassibi

This paper establishes a direct connection between Approximate Message Passing (AMP) and the Convex Gaussian Min-max Theorem (CGMT) for regularized linear regression and M-estimation.

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cs.MAEmpiricalRecentJun 29, 2026

Sparse Sensor Placement in Multi-Agent Reinforcement Learning Control of Rayleigh-Bénard Convection

Jan Stenner, Hans Harder, Sebastian Peitz

This paper trains sparse sensor policies for Rayleigh-Bénard convection control using multi-agent reinforce learning and grouped regularization.

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cs.DMTheoreticalRecentJun 27, 2026

Local Minima in Quadratic-Penalty Relaxations of Binary Linear Programs

Cheng-Han Huang, Yongliang Sun, Chaoyan Huang, Ismail Alkhouri +1 more

The paper establishes conditions for QUBO formulations of combinatorial optimization problems that guarantee valid binary and feasible local minimizers using gradient-based methods.

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math.OCcs.AIcs.LGTheoreticalRecentJul 23, 2026

Barzilai-Borwein Fails Superlinear Convergence on an Open Set of Quadratics for Every Dimension $n\geq 4$

Dawei Li, Xiaotian Jiang, Mingyi Hong

This paper constructs strictly convex quadratic problems and initial points for which the long Barzilai--Borwein method does not converge root-superlinearly.

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cs.CLcs.AIRecentMay 27, 2026

PrunePath: Towards Highly Structured Sparse Language Models

Zhexuan Gu, Zixun Fu, Yancheng Yuan

PrunePath introduces a budget-adaptive structured sparsification framework that efficiently prunes Feed-forward networks in large language models, achieving hardware-friendly sparsity and measurable s…

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