Polytopes

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4 papers in the last 28 days · 0.1% of indexed attention

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Period ending 2026-09-14

2 new papers

A weekly snapshot of new work published in Polytopes.

Period ending 2026-09-07

1 new paper

A weekly snapshot of new work published in Polytopes.

52 papers

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  1. Polyhedral Geometry of Time-to-First-Spike Neural Networks

    Sep 11, 2026Manjot Singh, Guido Montúfar, Gitta KutyniokSpiking Neural NetworksBinary Spikes

  2. Tensor network representations of discrete maximum entropy distributions via mean polytopes

    Sep 7, 2026Alex Goessmann, Martin EigelTensor NetworksPolytopes

  3. Predictive Zonotope Reduction: Precise Runtime Monitoring under Uncertainty

    Sep 3, 2026Vladimir Krsmanovic, Florian Kohn, Bernd Finkbeiner +1Model Predictive ControlReduced-Order Models

  4. LiST: Local-Simplex Test-Time LoRA Fusion

    Aug 23, 2026Yihua Shao, Jia Li, Siyu Chen +12Low-Rank AdaptersPolytopes

  5. Exact Zarankiewicz Values On Two Finite Frontier Slices

    Aug 8, 2026Koyar AfrasyabAcyclic GraphsUpper Bounds

  6. Hölder Signed Distance: A Differentiable, Signed, Parallelizable Metric for Robotics

    Aug 7, 2026Felipe Bartelt, Ali Umut Kaypak, Anthony Tzes +3Real-Time Euclidean Signed Distance MappingDistance

  7. Matrix Zonotopic Attention: A Context-Adaptive Value Projection for Set Transformers

    Aug 5, 2026Zhen Zhang, Amr AlanwarMulti-Head AttentionGumbel-Softmax Relaxation

  8. Hybrid Probabilistic Zonotopes for Identifiable and Refinable Predictive Uncertainty

    Aug 5, 2026Zhen Zhang, Amr AlanwarPredictive UncertaintyConformal Prediction

  9. Hypercubes, Hyperplanes, and Constraint-Induced Complexity Collapse in Atomic Concept Learning

    Aug 3, 2026Irene TsaparaPolytopesComputable

  10. Control Barrier Functions via Minkowski Operations for Safe Navigation among Polytopes

    Aug 3, 2026Yi-Hsuan Chen, Shuo Liu, Wei Xiao +2Control Barrier FunctionsObstacle Avoidance

  11. Smooth Reparameterizations of Functions on Simplicial Product Spaces: Applications to Probabilistic Tensor Decomposition and Functional Data Registration

    Aug 3, 2026Shashwat Kumar, Arafat Rahman, Anuj Srivastava +1ReparameterizationLow-Rank Tensor Decomposition

  12. Pyramidal Width Can Increase Under Vertex Insertion

    Jul 31, 2026Jinze ZhaoPolytopesLattice

  13. Multiclass Classification without Labels via Posterior Simplex Geometry

    Jul 27, 2026Raphaël Bonnet-Guerrini, Johann Ioannou-Nikolaides, Troels Petersen +1Multiclass ClassificationUnlabeled Data

  14. Shallower ReLU Network Representations via Exact Linear Algebra

    Jul 22, 2026Kilian Rueß, Gennadiy Averkov, Florestan Brunck +7Rectified Linear Unit NetworksTight Bounds

  15. Beyond the d^{2.5}-mixing bound for Dikin walks on polytopes

    Jul 15, 2026Yunbum KookPolytopesOptimal Sample Complexity

  16. A simplex-based measure of symmetry

    Jul 4, 2026Egor Bakaev, Amir YehudayoffPolytopesConvex Sets

  17. Chamber geometry and specification numbers of Boolean threshold functions

    Jun 28, 2026Martin AnthonyPolytopesDecision Thresholds

  18. Generating Special Triangulations with Transformers

    Jun 25, 2026Charles Arnal, Jacky H. T. Yip, François Charton +1TriangulationsPolytopes

  19. An implicitization-based solution to the minimal 4s/6r ToA problem using Cayley--Menger determinants

    Jun 18, 2026Evgeniy MartyushevSound Source LocalizationRobust Localization

  20. Beyond Averaging in John Ellipsoid Approximation: High-Accuracy Algorithms in the Leverage-Score Model

    Jun 18, 2026Xiaoyu Li, Junwei Yu, Jiaojiao Jiang +2Optimal Sample ComplexityPolytopes

  21. PolyMerge: Compressing 3D Gaussian Splats with Polytope Coverings for Provably Safe Resource-Constrained Navigation

    Jun 15, 2026Jihoon Hong, Chih-Yuan Chiu, Sara Fridovich-Keil +13D Gaussian SplattingPolytopes

  22. Learning Unions of Convex Sets via Invertible Latent Decomposition for Path Planning

    Jun 10, 2026Taerim Yoon, Dongho Kang, Kisang Park +3Collision-Free TrajectoriesPolytopes

  23. A Stationary (and Therefore Compatible) Representation is All You Need

    Jun 10, 2026Niccolò Biondi, Federico Pernici, Simone Ricci +1Representation LearningRepresentation Space

  24. Non-Archimedean Polydisc Spaces and Applications to Optimisation

    Jun 5, 2026Paul Lezeau, Yiannis Fam, Anthea Monod +1Metric SpacesShape Optimization

  25. Characterizing the Discrete Geometry of ReLU Networks

    Jun 5, 2026Blake B. Gaines, Jinbo BiRectified Linear Unit NetworksPolytopes

  26. Shortcomings and capacities of real-constrained neural networks in complex spaces

    Jun 3, 2026Andrew GracykKernel Hilbert SpacesPolytopes

  27. Incremental Sheaf Cohomology on Cellular Complexes: O(1)-in-n Lazy Edit Processing under Bounded Local Geometry

    Jun 2, 2026Jason L. VolkSheafPolytopes

  28. Learning-based Directed Graph Abstraction of Combinatorial Spaces for Order-Preserving Search in Mixed-Combinatorial Nonlinear Optimization

    May 31, 2026Gishnu Madhu, Feng Liu, Souma ChowdhuryCombinatorial OptimizationMixed-Integer Linear Programming

  29. TriSearch: Learning to Optimize Triangulations via Bistellar Flips

    May 28, 2026Yiran Wang, Guido MontúfarTriangulationsPolytopes

  30. Sampling Triangulations and Calabi-Yau Threefolds with Autoregressive GNNs

    May 26, 2026Nate MacFaddenTriangulationsPolytopes

  31. TBP-mHC: full expressivity for manifold-constrained hyper connections through transportation polytopes

    May 20, 2026Anton LyubininSinkhornPolytopes

  32. A Unified Geometric Framework for Weighted Contrastive Learning

    May 13, 2026Raphael Vock, Edouard Duchesnay, Benoit DufumierContrastive LearningPolytopes

  33. High-arity Sample Compression

    May 12, 2026Leonardo N. Coregliano, William OpichModel and Context CompressionPolytopes

  34. Learning Minimally Rigid Graphs with High Realization Counts

    May 12, 2026Oleksandr Slyvka, Jan Rubeš, Rodrigo Alves +1Acyclic GraphsPolytopes

  35. Formally Verifying Analog Neural Networks Under Process Variations Using Polynomial Zonotopes

    May 11, 2026Yasmine Abu-Haeyeh, Tobias Ladner, Matthias Althoff +1Neural Network VerificationAnalog

  36. Geometry-Aware Simplicial Message Passing

    May 7, 2026Elena Xinyi Wang, Bastian RieckPolytopesRepresentational Geometry

  37. A Partition-Based Generating Function for Row-Convex Polyominoes

    May 4, 2026Vincenzo M. ScarricaCombinationsPolytopes

  38. Topological Neural Tangent Kernel

    May 1, 2026Sanjukta KrishnagopalGraph Neural NetworksNeural Tangent Kernel

  39. Weisfeiler Lehman Test on Combinatorial Complexes: Generalized Expressive Power of Topological Neural Networks

    May 1, 2026Jiawen Chen, Qi Shao, Zhiqiang Ge +2Polytopes

  40. STAR-Filter: Efficient Convex Free-Space Approximation via Starshaped Set Filtering in Noisy Environments

    Apr 29, 2026Yuwei Wu, Yichen Zhao, Dexter Ong +1Dynamic EnvironmentsPolytopes

  41. How Hard Is Continuous Clustering? Lower Bounds from the Existential Theory of the Reals

    Apr 24, 2026Angshul MajumdarClusteringCluster

  42. SOC-ICNN: From Polyhedral to Conic Geometry for Learning Convex Surrogate Functions

    Apr 24, 2026Kang Liu, Jianchen Hu, Wei PengConvex SetsPolytopes

  43. Contraction and Hourglass Persistence for Learning on Graphs, Simplices, and Cells

    Apr 19, 2026Mattie Ji, Indradyumna Roy, Vikas GargPersistent HomologyGraph Neural Networks

  44. Tight Bounds for Learning Polyhedra with a Margin

    Apr 16, 2026Shyamal Patel, Santosh VempalaPolytopesTight Bounds

  45. A Complete Symmetry Classification of Shallow ReLU Networks

    Apr 15, 2026Pranavkrishnan RamakrishnanRectified Linear Unit NetworksSymmetry

  46. GNN-DIP: Neural Corridor Selection for Decomposition-Based Motion Planning

    Mar 12, 2026Peng Xie, Yanliang Huang, Wenyuan Wu +1Shortest PathsGnn-Based Detectors

  47. Improved Upper Bounds for Slicing the Hypercube

    Feb 6, 2026Duncan Soiffer, Nathaniel Itty, Christopher D. Rosin +5Upper BoundsSlices

  48. Parameterized Hardness of Zonotope Containment and Neural Network Verification

    Sep 26, 2025Vincent Froese, Moritz Grillo, Christoph Hertrich +1Rectified Linear Unit NetworksNeural Network Verification

  49. Explaining a probabilistic prediction on the simplex with Shapley compositions

    Aug 2, 2024Paul-Gauthier Noé, Miquel Perelló-Nieto, Jean-François Bonastre +1Shapley ValueMulticlass Classification

  50. Certified Robust Invariant Polytope Training in Neural Controlled ODEs

    Aug 2, 2024Akash Harapanahalli, Samuel CooganNeural ControlLyapunov Function

  51. Fisher-Rao Gradient Flows of Linear Programs and State-Action Natural Policy Gradients

    Mar 28, 2024Johannes Müller, Semih Çaycı, Guido MontúfarPolicy GradientWasserstein Gradient Flows

  52. NervePool: A Simplicial Pooling Layer

    May 10, 2023Sarah McGuire Scullen, Ernst Röell, Elizabeth Munch +2Global Average PoolingGraph Structure