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Leveraging second-order information about the loss at the scale of deep networks is one of the main lines of approach for improving the performance of current optimizers for deep learning. Yet, existing approaches for accurate full-matrix…

机器学习 · 计算机科学 2024-06-06 Ionut-Vlad Modoranu , Aleksei Kalinov , Eldar Kurtic , Elias Frantar , Dan Alistarh

With the commercial availability of mixed precision hardware, mixed precision GMRES-based iterative refinement schemes have emerged as popular approaches for solving sparse linear systems. Existing analyses of these approaches, however, are…

数值分析 · 数学 2022-09-02 Erin Carson , Noaman Khan

Computing at the exascale level is expected to be affected by a significantly higher rate of faults, due to increased component counts as well as power considerations. Therefore, current day numerical algorithms need to be reexamined as to…

数值分析 · 数学 2019-05-27 Mark Ainsworth , Christian Glusa

Single-event upset (SEU) fault tolerance for systems-on-chip (SoCs) in radiation-heavy environments is often addressed by architectural fault-tolerance approaches protecting individual SoC components (e.g., cores, memories) in isolation.…

硬件体系结构 · 计算机科学 2026-03-30 Michael Rogenmoser , Philippe Sauter , Chen Wu , Angelo Garofalo , Luca Benini

This article presents a method for solving large-scale linear inverse problems regular- ized with a nonlinear, edge-preserving penalty term such as the total variation or Perona-Malik. In the proposed scheme, the nonlinearity is handled…

数值分析 · 数学 2013-09-02 Simon R. Arridge , Marta M. Betcke , Lauri Harhanen

Fault tolerance is a property which needs deeper consideration when dealing with streaming jobs requiring high levels of availability and low-latency processing even in case of failures where Quality-of-Service constraints must be adhered…

分布式、并行与集群计算 · 计算机科学 2021-02-12 Morgan Geldenhuys , Lauritz Thamsen , Odej Kao

Intrusion Detection Systems (IDS) are developed to protect the network by detecting the attack. The current paper proposes an unsupervised feature selection technique for analyzing the network data. The search capability of the…

神经与进化计算 · 计算机科学 2019-05-17 Chanchal Suman , Somanath Tripathy , Sriparna Saha

System prompts for LLM-based coding agents are software artifacts that govern agent behavior, yet lack the testing infrastructure applied to conventional software. We present Arbiter, a framework combining formal evaluation rules with…

软件工程 · 计算机科学 2026-03-11 Tony Mason

Machine unlearning offers a promising solution to privacy and safety concerns in large language models (LLMs) by selectively removing targeted knowledge while preserving utility. However, current methods are highly sensitive to downstream…

In a model of fault-tolerant quantum computation with quick and noiseless polyloglog-time auxiliary classical computation, we construct a fault tolerance protocol with constant-space and $\widetilde{O}(\log N)$-time overhead, where…

量子物理 · 物理学 2025-08-15 Quynh T. Nguyen , Christopher A. Pattison

In this paper, we consider the problem of black box continuous submodular maximization where we only have access to the function values and no information about the derivatives is provided. For a monotone and continuous DR-submodular…

机器学习 · 计算机科学 2020-03-03 Lin Chen , Mingrui Zhang , Hamed Hassani , Amin Karbasi

Monolithic preconditioners applied to the linear systems arising during the solution of the discretized incompressible Navier-Stokes equations are typically more robust than preconditioners based on incomplete block factorizations. Lower…

数值分析 · 数学 2026-02-11 Alexander Heinlein , Axel Klawonn , Jascha Knepper , Lea Saßmannshausen

We are interested in obtaining approximate solutions to parameterized linear systems of the form $A(\mu) x(\mu) = b$ for many values of the parameter $\mu$. Here $A(\mu)$ is large, sparse, and nonsingular, with a nonlinear analytic…

数值分析 · 数学 2022-06-13 Siobhán Correnty , Elias Jarlebring , Kirk M. Soodhalter

The Helmholtz equation poses significant computational challenges due to its oscillatory solutions, particularly for large wavenumbers. Inspired by the Schur complement system for elliptic problems, this paper presents a novel…

数值分析 · 数学 2025-05-02 Yi Yu , Marcus Sarkis , Guanglian Li , Zhiwen Zhang

Machine learning (ML) models often exhibit bias that can exacerbate inequities in biomedical applications. Fairness auditing, the process of evaluating a model's performance across subpopulations, is critical for identifying and mitigating…

统计方法学 · 统计学 2026-05-19 Jianhui Gao , Jessica Gronsbell

As fully fault-tolerant quantum computers capable of solving useful problems remain a distant goal, we anticipate an era of "early fault tolerance" where limited error correction is available. We propose a framework for designing early…

Abstraction is a successful technique in software verification, and interpolation on infeasible error paths is a successful approach to automatically detect the right level of abstraction in counterexample-guided abstraction refinement.…

软件工程 · 计算机科学 2015-02-03 Dirk Beyer , Stefan Löwe , Philipp Wendler

Modern machine learning frameworks support very large models by incorporating parallelism and optimization techniques. Yet, these very techniques add new layers of complexity, introducing silent errors that severely degrade model…

机器学习 · 计算机科学 2025-09-16 Kahfi S. Zulkifli , Wenbo Qian , Shaowei Zhu , Yuan Zhou , Zhen Zhang , Chang Lou

Robust quantum computation requires encoding delicate quantum information into degrees of freedom that are hard for the environment to change. Quantum encodings have been demonstrated in many physical systems by observing and correcting…

量子物理 · 物理学 2017-11-08 Maika Takita , Andrew W. Cross , A. D. Córcoles , Jerry M. Chow , Jay M. Gambetta

Errors due to hardware or low level software problems, if detected, can be fixed by various schemes, such as recomputation from a checkpoint. Silent errors are errors in application state that have escaped low-level error detection. At…

数值分析 · 计算机科学 2018-01-08 Austin R. Benson , Sven Schmit , Robert Schreiber
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