WingSpan: Concurrency and Dependence for Sparse and Structured Tensor Compilers

[2606.20855] WingSpan: Concurrency and Dependence for Sparse and Structured Tensor Compilers Skip to main content Search Submit Donate Log in Computer Science > Mathematical Software arXiv:2606.20855 (cs) [Submitted on 18 Jun 2026 ( v1 ), last revised 26 Aug 2026 (this version, v3)] Title: WingSpan: Concurrency and Dependence for Sparse and Structured Tensor Compilers Authors: Adrian Gushin , Sang Yoon Kim , Willow Ahrens View PDF HTML (experimental) Abstract: Sparse tensors represent data that is mostly zero or some other compressible fill pattern. Such datasets can be massive, so optimized tensor algebra libraries and compilers have been developed to exploit these patterns to improve performance. Existing systems, however, frequently lack support for parallelism, especially when outputs are sparse or multiple inputs are sparse. We propose WingSpan, a sparse tensor language enabling unrestricted parallel programming. WingSpan supports arbitrary composition of parallel loops and data structures, matching or exceeding the performance of hand-optimized parallel routines on critical kernels such as SpGEMM. We also introduce a dependence theory for the safety of parallel programs involving sparse tensors and structures beyond sparsity. Comments: 13 pages, 16 figures Subjects: Mathematical Software (cs.MS) Cite as: arXiv:2606.20855 [cs.MS] (or arXiv:2606.20855v3 [cs.MS] for this version) https://doi.org/10.48550/arXiv.2606.20855 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Adrian Gushin [ view email ] [v1] Thu, 18 Jun 2026 18:42:07 UTC (2,354 KB) [v2] Sat, 18 Jul 2026 00:56:42 UTC (2,354 KB) [v3] Wed, 26 Aug 2026 21:44:10 UTC (2,325 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Additional Features Audio Summary Current browse context: cs.MS < prev | next > new | recent | 2026-06 Change to browse by: cs References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark 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? ) 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? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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