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3 papers in the last four weeks, with none the four weeks before. 0.0% of all new papers.

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Clifford Sheaf Neural Networks
Oct 1, 2026Kotaro Kamiya, Joel NichollsSheaf Neural Networks Sheaf
SyntheticGestalt KK
Stable Unsupervised Continual Chunking with Sheaf SyncMap
Sep 21, 2026Xueyuan Li, Danilo Vasconcellos VargasReplay-Based Continual Learning Chunk
Time-Varying Data as Sheaves: an Invitation to Narratives
Sep 8, 2026Wilmer Leal, Benjamin Merlin Bumpus, Jana K. Nickel +3Time-Varying Systems Temporal Dynamics
Department of Mechanical and Aerospace Engineering, University of Florida, 1064 Center Drive, Gainesville, 32611-6250, Florida, USA. · Instituto de Matem´atica e Estat´ıstica, Universidade de S˜ao Paulo, Rua do Mat˜ao, 1010, S˜ao Paulo, 05508–090, SP, Brasil. · Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, Hamburg, 20146, Germany. +2
Benchmarking Sheaf Neural Networks for Inductive Tasks
Aug 3, 2026Stefano Fiorini, Edoardo Coppola, Pietro LiòSheaf Neural Networks Sheaf
1Independent Researcher · Department of Computer Science and Technology, University of Cambridge
Sheaf-theoretic Signal Processing on Graphs: Spectral Theory, Filtering, and Sampling
Aug 2, 2026Gabriele D'Acunto, Leonardo Di Nino, Paolo Di Lorenzo +1Sheaf Graph Signal Processing
Department of Information Engineering, Electronics, and Telecommunications, Sapienza University of Rome, 00184 Rome, Italy · National Inter-University Consortium for Telecommunications (CNIT), Parma, Italy
Foundations of Equivariant Deep Learning: Unifying Graph and Sheaf Neural Networks
Jul 4, 2026Yoshihiro MaruyamaEquivariant Neural Networks Sheaf Neural Networks
Department of Mathematical and Information Sciences, Kyoto University, Kyoto, Japan.
Hierarchical Pooling for Sheaf Neural Networks
Jun 18, 2026Dionisia Naddeo, Carlo Abate, Pietro Liò +2Sheaf Neural Networks Sheaf
UiT The Arctic University of Norway · UiT The Arctic University of Norway NORCE Norwegian Research Centre AS
A Categorial and Sheaf-Theoretic Semantics for Autonomic Component Ensembles
Jun 17, 2026Manuel Hernández, Eduardo Sánchez-SotoSheaf Autonomous Agents
SheafStain: Sheaf-Theoretic Schrödinger Bridge for Spatially and Biologically Coherent Virtual Staining
Jun 10, 2026Hyeongyeol Lim, Hongjun Yoon, Eunjin Jang +3Sheaf Biomarker
Department of Medical Informatics, College of Medicine, Korea University · DEEPNOID Inc.
Incremental Sheaf Cohomology on Cellular Complexes: O(1)-in-n Lazy Edit Processing under Bounded Local Geometry
Jun 2, 2026Jason L. VolkSheaf Persistent Homology
Invariant Research
A Sheaf Framework for Strategic Multi-Agent Systems: From Consensus to Nash Equilibria
Jun 1, 2026Manuel Hernández, Eduardo Sánchez-SotoNash Equilibrium Sheaf
Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs
May 31, 2026Lennon J. Shikhman, Shane GilbertieNeural Operators Neural Partial Differential Equation Solvers
College of Computing, Georgia Institute of Technology, Atlanta, 30332, GA, USA · Department of Aerospace, Physics and Space Sciences, Florida Institute of Technology, Melbourne, 32901, FL, USA
Aligning Cellular Sheaves with Classifier Attention for Interpretable Weakly-Supervised Pathology Localization
May 24, 2026Devansh Lalwani, Swapnil Bhat, Maulik ShahWhole-Slide Images Multiple Instance Learning
Turocrates AI Private Limited, Mumbai, India
Gaussian Sheaf Neural Networks
May 20, 2026André Ribeiro, Ana Luiza Tenório, Tiago da Silva +1Sheaf Neural Networks Graph Representation Learning
Getulio Vargas Foundation · MBZUAI
BrainDyn: A Sheaf Neural ODE for Generative Brain Dynamics
May 19, 2026Siddharth Viswanath, Panayiotis Ketonis, Chen Liu +3Human Brain Networks Neural Dynamics
1Yale University · 2Boise State University · University of Wisconsin–Madison
Deep Neural Sheaf Diffusion
May 18, 2026Rémi Bourgerie, Šarūnas Girdzijauskas, Viktoria FodorSheaf Neural Networks Graph Neural Networks
School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, Stockholm, Sweden.
Sheaf-Theoretic Transport and Obstruction for Detecting Scientific Theory Shift in AI Agents
May 13, 2026David N. Olivieri, Roque J. HernándezArtificial Intelligence Agents Scientific Discovery
Universidade de Vigo, Department of Computer Science (LSI), Spain
All Circuits Lead to Rome: Rethinking Functional Anisotropy in Circuit and Sheaf Discovery for LLMs
May 12, 2026Xi Chen, Mingyu Jin, Jingcheng Niu +7Circuits Sheaf
University of Toronto · The Hong Kong University of Science and Technology (Guangzhou) · Rutgers University +2
Oversmoothing as Representation Degeneracy in Neural Sheaf Diffusion
May 11, 2026Arif Dönmez, Axel Mosig, Ellen Fritsche +1Sheaf Neural Networks Sheaf
IUF – Leibniz Research Institute for Environmental Medicine, Düsseldorf, Germany · DNTOX GmbH, Düsseldorf, Germany · Bioinformatics Group, Ruhr University Bochum, Bochum, Germany +1
Consistent Geometric Deep Learning via Hilbert Bundles and Cellular Sheaves
May 7, 2026Kartik Tandon, Julian Gould, Tanishq Bhatia +3Geometric Deep Learning Geometric Machine Learning
University of Pennsylvania · Sakana AI · Northeastern University +1
A Functorial Formulation of Neighborhood Aggregating Deep Learning
Apr 27, 2026Sun Woo Park, Yun Young Choi, U Jin Choi +1Sheaf Neural Network
Sheaf Neural Networks on SPD Manifolds: Second-Order Geometric Representation Learning
Apr 22, 2026Yuhan Peng, Junwen Dong, Yuzhi Zeng +6Sheaf Neural Networks Sheaf
School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore · Chern Institute of Mathematics, Nankai University, Tianjin, China · Department of Mathematics, Faculty of Science, National University of Singapore, Singapore +3

Oct 1, 2026, cs.LGJ/K move · Enter open · S save

Clifford Sheaf Neural Networks

Kotaro Kamiya, Joel Nicholls

SyntheticGestalt KK

Sheaf Neural Networks Sheaf Equivariant Neural Networks Graph Laplacians Graph Neural Networks Neural Network

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We introduce the Clifford Sheaf Neural Network (CSNN), an equivariant sheaf neural network for geometric graphs that places a Clifford algebra on each stalk of a cellular sheaf and transports multivector features along edges. The canonical choice of restriction map for sheaves with algebra-valued stalks is algebra homomorphism. Adding the constraint of equivariance, the naive choice becomes versor conjugation. However, versor conjugation is expressively weak, so we drop algebra homomorphism and arrive at the K-term sandwich. The resulting sheaf Laplacian is positive semidefinite by construction, needs no versor constraint, and still mixes grades. Our main contribution characterizes the resulting family of restriction maps along three axes: which grades a map couples, how much of the endomorphism space it reaches, and how well it is conditioned. The K-term sandwich spans half of the endomorphism space, and in Cl(3, 0, 0) it corresponds to the maps that commute with the central pseudoscalar. The number of terms controls expressivity. CSNN is the reversion member, a first-order model by construction and the grade-mixing corner of this family, developed as a sheaf construction for graph-level equivariant regression.

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