待翻译：Learning-Theoretic Foundation for General Coded Computing: The Straggler Setting
AI 服务暂时不可用，以下为来源摘要，待恢复后补全翻译：arXiv:2608.28910v1 Announce Type: new Abstract: Coded computing has emerged as a powerful paradigm for mitigating the impact of straggling workers in distributed computing systems. However, existing coded-computing schemes are predominantly designed for the exact recovery of highly structured computations, such as polynomial evaluation and matrix multiplication, and typically rely on strict recovery thresholds. These assumptions significantly limit their applicability to modern machine-learning workloads, particularly deep neural networks (DNNs), whose computations generally lack rigid algebraic structure and, in many applications, require only accurate approximations rather than exact recovery. To address this gap, we revisit coded computing from a learning-theoretic perspective and introduce General Coded Computing (GCC). Rather than adopting existing algebraic tools, GCC formulates coded computing through a natural end-to-end mean-squared error loss that directly measures the discrepancy between the desired computations and their recovered estimates. By deriving suitable upper bounds and restricting the encoder and decoder to a reproducing kernel Hilbert space (RKHS) with mild smoothness constraints, we show that both the encoder and decoder admit specific representations as linear combinations of RKHS kernel functions. This representation allows the corresponding coefficients to be computed efficiently. Moreover, this framework enables us to establish theoretical performance guarantees for GCC under two complementary straggler regimes. In the worst-case setting with $N$ worker nodes, and at most $S$ stragglers, we show that the end-to-end loss decays at least at rate $O(S^3N^{-3})$ for standard configurations. We then study a probabilistic setting in which each worker independently straggles with probability $p$. We prove that the expected loss can still converge at rate $O(\log_{1/p}^3(N)N^{-3})$.
AI 服务暂时不可用，以下为来源正文，待恢复后补全翻译。
--> [Submitted on 28 Aug 2026] Title:Learning-Theoretic Foundation for General Coded Computing: The Straggler Setting View a PDF of the paper titled Learning-Theoretic Foundation for General Coded Computing: The Straggler Setting, by Parsa Moradi and 2 other authors View PDF HTML (experimental) Abstract:Coded computing has emerged as a powerful paradigm for mitigating the impact of straggling workers in distributed computing systems. However, existing coded-computing schemes are predominantly designed for the exact recovery of highly structured computations, such as polynomial evaluation and matrix multiplication, and typically rely on strict recovery thresholds. These assumptions significantly limit their applicability to modern machine-learning workloads, particularly deep neural networks (DNNs), whose computations generally lack rigid algebraic structure and, in many applications, require only accurate approximations rather than exact recovery. To address this gap, we revisit coded computing from a learning-theoretic perspective and introduce General Coded Computing (GCC). Rather than adopting existing algebraic tools, GCC formulates coded computing through a natural end-to-end mean-squared error loss that directly measures the discrepancy between the desired computations and their recovered estimates. By deriving suitable upper bounds and restricting the encoder and decoder to a reproducing kernel Hilbert space (RKHS) with mild smoothness constraints, we show that both the encoder and decoder admit specific representations as linear combinations of RKHS kernel functions. This representation allows the corresponding coefficients to be computed efficiently. Moreover, this framework enables us to establish theoretical performance guarantees for GCC under two complementary straggler regimes. In the worst-case setting with $N$ worker nodes, and at most $S$ stragglers, we show that the end-to-end loss decays at least at rate $O(S^3N^{-3})$ for standard configurations. We then study a probabilistic setting in which each worker independently straggles with probability $p$. We prove that the expected loss can still converge at rate $O(\log_{1/p}^3(N)N^{-3})$. Subjects: Machine Learning (cs.LG) Cite as: arXiv:2608.28910 [cs.LG] (or arXiv:2608.28910v1 [cs.LG] for this version) https://doi.org/10.48550/arXiv.2608.28910 arXiv-issued DOI via DataCite (pending registration) Submission history From: Parsa Moradi [view email] [v1] Fri, 28 Aug 2026 22:18:22 UTC (524 KB) Full-text links: Access Paper: View a PDF of the paper titled Learning-Theoretic Foundation for General Coded Computing: The Straggler Setting, by Parsa Moradi and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cs.LG new | recent | 2026-08 Change to browse by: cs References & Citations NASA ADS Google Scholar Semantic Scholar Loading... Data provided by: Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) IArxiv recommender toggle IArxiv Recommender (What is IArxiv?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)