Tensor Networks

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8 papers in the last four weeks, up 60% on the four weeks before. 0.1% of all new papers.

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  1. Gaussian Universality and Its Breakdown in Tensor-Network Machine Learning

    Oct 5, 2026Shi-Tuan Wang, Zidu Liu, Li-Wei YuTensor Networks

    Theoretical Physics Division, Chern Institute of Mathematics and LPMC, Nankai University, Tianjin 300071, China · Max Planck Institute of Quantum Optics, 85748 Garching, Germany

  2. Discrete Diffusion Models via Evolving Variational Autoregressive Networks

    Sep 23, 2026Kewen Pan, Ying TangScore-Based Diffusion ModelSpatial Photonic Ising Machines

    Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China · School of Physics, University of Electronic Science and Technology of China, Chengdu 611731, China · Key Laboratory of Quantum Physics and Photonic Quantum Information, Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, China +1

  3. Exactness at Inference: A Representational Criterion for Out-of-Distribution Generalization

    Sep 21, 2026Filipe Marinho Rocha, Inês Dutra, Vítor Santos Costa +1Out-Of-DistributionImproved Generalization

    Faculdade de Ciências da Universidade do Porto, Porto, Portugal · INESC TEC, Campus da FEUP, Porto, Portugal · Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, Porto, Portugal +1

  4. The Output-Space Hypothesis: Enumerative Equivalence Checking for Tensor Programs

    Sep 17, 2026Paul Biberstein, Joseph Devietti, Mayur NaikCudaBug

    University of Pennsylvania Philadelphia, PA, USA

  5. Quantum-Inspired Trainable and Parameter-Efficient Tensor Networks for Image Inpainting

    Sep 15, 2026Shiwen An, Konstantinos SlavakisTensor NetworksQuantization-Aware Training

    Institute of Science Tokyo, Department of Information and Communications Engineering, Yokohama, Japan

  6. Benign Loss Landscapes Can Coexist with Worst-Case Hardness

    Sep 14, 2026Zach Furman, Stephan Wäldchen, Yangda Bei +1Anisotropic Loss LandscapesTensor Networks

    University of Melbourne · Iliad

  7. A Block Tensor Train Burer-Monteiro Framework for Low-Rank Quantum State Tomography

    Sep 8, 2026Shakir Showkat Sofi, Charlotte Vermeylen, Fatemeh Mohammadi +1QubitTensor Networks

    Leuven.AI - KU Leuven institute for AI, B-3000, Leuven, Belgium · Department of Electrical Engineering (ESAT), KU Leuven, Leuven, Belgium; Group Science, Engineering and Technology, KU Leuven Kulak, Kortrijk, Belgium · Departments of Computer Science and Mathematics, KU Leuven, Leuven, Belgium

  8. Tensor Network Moral Graph Recovery of Discrete Probability Distributions

    Sep 8, 2026Á. Troyano Olivas, Chi-Hang Fred Fung, Hans H. Brunner +2Causal GraphTensor Networks

    Heisenberg Research Center (Munich), Huawei Technologies Duesseldorf GmbH, Germany · Center for Computational Simulation, Universidad Politécnica de Madrid, Madrid, Spain

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

    Sep 7, 2026Alex Goessmann, Martin EigelTensor NetworksPolytopes

    Weierstrass Institute of Applied Analysis and Stochastics Anton-Wilhelm-Amo-Straße 39 Berlin, 10117, Germany

  10. Parameterised graph theory for tensor networks: entanglement rerouting, structural simplification, and agnostic tomography

    Sep 3, 2026Matthias C. Caro, Natalie McHugh, Sergii StrelchukTensor NetworksAcyclic Graphs

    Department of Computer Science, University of Warwick, Coventry, UK · Department of Computer Science, University of Oxford, Oxford, UK

  11. Stochastic Optimization of Tree Tensor Networks

    Sep 1, 2026Marius Willner, Maximilian Scharf, André Uschmajew +2Tensor NetworksNeural Network Optimization

    Institute of Mathematics, University of Augsburg, 86159 Augsburg, Germany · Centre for Advanced Analytics and Predictive Sciences, University of Augsburg, 86159 Augsburg, Germany · Tensor AI Solutions GmbH, 89284 Pfaffenhofen an der Roth, Germany +1

  12. Tensor Methods for Language Models: From Token Representation to Training, Adaptation, Inference, Compression, and Interpretability

    Aug 31, 2026Matvei Tarasov, Salman Ahmadi-Asl, Andre L. F. de Almeida +1Large Language Model CompressionTensor Networks

    Innopolis University, Innopolis 420500, Russia · Department of Teleinformatics Engineering, Federal University of Cear´a, Fortaleza 60455-760, Brazil · Systems Research Institute of Polish Academy of Science and Warsaw University of Technology, Poland

  13. sLTN: Structural Logic Tensor Networks

    Aug 11, 2026Davide Rinaldi, Luciano SerafiniTensor NetworksNeuro-Symbolic Framework

    Nokia Bell Labs · Fondazione Bruno Kessler

  14. Accelerated Learning of High Dimensional Functions with a Tensor-Featured Training Network

    Aug 11, 2026Karl Pierce, Yuehaw Khoo, Haizhao YangTensor DecompositionHigh-Dimensional

    † The University of Maryland, College Park, College Park MD 20742 USA · ∗The University of Chicago, Chicago, IL 60637 USA

  15. TEMPER: Tensorized Efficient Manifold-constrained Parameterization for Expressive Residual Routing

    Aug 8, 2026Yuxuan Gu, Wuyang Zhou, Huijun Xing +1Residual ConnectionsReparameterization

    Department of Electrical and Electronic Engineering, Imperial College London

  16. Tensor Network Kernel Machines: A JAX Framework for Machine Learning and Nonlinear System Identification

    Aug 7, 2026Albert Saiapin, Kim BatselierTensor NetworksNeural Tangent Kernel

    Delft Center for Systems and Control, TU Delft, Netherlands

  17. Learning to Rank Tensor Network Contraction Plans for GPU-Accelerated Quantum Circuit Simulation

    Aug 6, 2026Alfred M. Pastor, Maribel Castillo, Jose M. BadiaTensor NetworksQuantum Circuits

    Department of Computer Science, Universitat de València, 46100 Burjassot, Spain · Department of Computer Science and Engineering, Universitat Jaume I, 12071 Castelló de la Plana, Spain

  18. It's All Just Vectorization: einx, a Universal Notation for Tensor Operations

    Jul 30, 2026Florian Fervers, Sebastian Bullinger, Christoph Bodensteiner +1VectorizationTensor Networks

    Fraunhofer IOSB

  19. Tensor Network Machine Learning for Wildfire Susceptibility Mapping: from Grokking Dynamics to Quantum Mixedness of Class Representations

    Jul 21, 2026Domenico Pomarico, Alessandra Costantino, Gabriel Ramirez Sanchez +12Wildfire PredictionTensor Networks

    1Dipartimento Interuniversitario di Fisica, Universit`a degli Studi di Bari Aldo Moro, Bari, I-70126, Italy · 2Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Bari, I-70126, Italy · 3Dipartimento di Biomedicina Traslazionale e Neuroscienze (DiBraiN), Universit`a degli Studi di Bari Aldo Moro, Bari, I-70124, Italy +2

  20. Tropical Circuits with Scalar Multiplication Gates

    Jul 13, 2026Christoph Hertrich, Moritz StargallaTensor NetworksExponents

    University of Technology Nuremberg

  21. Multi-agent Autoformalization of Tensor Network Theory

    Jul 8, 2026Sirui Lu, Erickson Tjoa, J. Ignacio CiracAutoformalizationTensor Networks

    Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, D-85748 Garching, Germany · Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, D-80799 Munich, Germany

  22. When AI meets quantum information: A comprehensive review

    Jul 1, 2026Min Chen, Yu Gan, Xin Jin +15Quantum ProcessorQuantum Annealing

    Department of Computer Science, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA · Joint Center for Quantum Information and Computer Science, NIST and University of Maryland, College Park, MD 20742, USA · Joint Quantum Institute, NIST and University of Maryland, College Park, MD 20742, USA +11

  23. First-Order Temporal Logic Tensor Networks

    Jun 29, 2026Luca Boscarato, Ivan Donadello, Alessandro Artale +2Linear Temporal LogicsNeuro-Symbolic Framework

    Free University of Bozen-Bolzano

  24. Modelling Emotional Memory in Children with Tensor Networks

    Jun 26, 2026Henry Groves, Lucia F. Jackson, Barbara-Anne Robertson +1Tensor NetworksPsychology

    Quantum Group, School of Computing, Newcastle University, Science Square, Newcastle upon Tyne, NE4 5TG, UK · School of Psychology, Newcastle University, Wallace Street, Newcastle upon Tyne, NE2 4DR, UK · Biosciences Institute, Newcastle University, Framlington Place, Newcastle upon Tyne, NE2 4HH, UK

  25. Two-dimensional Hyperbolic RNN Neural Quantum State

    Jun 24, 2026H. L. DaoQuantum Neural NetworksSpatial Photonic Ising Machines

  26. Family-Aware Residual Architecture for Predicting Quantum Circuit Simulation Performance

    Jun 10, 2026Honjar Xing, Yehong Jiang, Xianbang Wang +2Quantum CircuitsTensor Networks

    Massachusetts Institute of Technology Cambridge, MA 02139, USA

  27. Topological Neural Operators

    Jun 8, 2026Lennart Bastian, Samuel Leventhal, Mustafa Hajij +1Neural OperatorsTopology

    Imperial College London, UK · University of San Francisco, USA

  28. EinSort: Sorting is All We Need for Tensorizing LLM

    Jun 7, 2026Toshiaki Koike-Akino, Jing Liu, Ye WangTensor NetworksLow-Rank Structure

    Mitsubishi Electric Research Laboratories (MERL), 20 Broadway, Cambridge, MA 02139, USA.

  29. Algorithmic algorithm development with LLMs: A Case Study on LLM-Usage for Contraction Order Optimization in Tensor Networks

    Jun 1, 2026Fabian Hoppe, Melven Röhrig-Zöllner, Philipp KnechtgesEvolutionary SearchLarge Language Models(Llms

    German Aerospace Center (DLR), Institute of Software Technology, department High-Performance Computing, Cologne (Germany)

  30. TN-SHAP-G: Graph-Structured Tensor Network Surrogates for Shapley Values and Interactions

    Jun 1, 2026Farzaneh Heidari, Guillaume RabusseauShapley ValueTensor Networks

    Universit´e de Montr´eal, Montr´eal, Quebec, Canada · Mila, Quebec AI Institute, Montreal, Quebec, Canada · CIFAR AI Chair.

  31. Graphical einops: bridging tensor networks and computation graphs

    May 29, 2026Vincent Wang-Maścianica, Nikhil KhatriTensor NetworksInterleaved Graph Attention

    †Laboratory for Human-Centered AI, Department of Philosophy, University of Oxford. · ‡Machine Learning Research Group, Department of Engineering Science, University of Oxford

  32. Automatically Differentiable Nonlinear Tensor Networks (ADNTNs) for Exponential Parameter Compression of Deep Neural Networks

    May 28, 2026Andrzej Cichocki, Michal WietczakTensor NetworksCompressed Model

    Systems Research Institute of Polish Academy of Science and Warsaw University of Technology, Poland

  33. Sutra: Tensor-Op RNNs as a Compilation Target for Vector Symbolic Architectures

    May 20, 2026Emma LeonhartPytorchTensor Networks

  34. Representability-Aware Neural Networks for Reduced Density Matrices: Application to Fractional Chern Insulators

    May 19, 2026Justin B. Hart, Awwab A. Azam, Thomas Li +4Quantum PhasesMany-Body Physics

    Department of Physics, University of Florida, Gainesville, FL, USA · Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL, USA · Palo Alto High School, Palo Alto, CA, USA +4

  35. Maximum Likelihood Decoding of Quantum Error Correction Codes

    May 17, 2026Hanyan Cao, Ge Yan, Yuxuan Du +1Quantum Error CorrectionPost-Quantum Cryptography

    1Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372, Singapore · College of Computing and Data Science, Nanyang Technological University, Singapore, Singapore · School of Physical and Mathematical Sciences, Nanyang Technological University,2026 Singapore, Singapore

  36. Tensor Channel Equivariant Graph Neural Networks for Molecular Polarizability Prediction

    May 16, 2026Jean Philip Filling, Daniel Franzen, Michael WandTensor NetworksMolecular Property Prediction

    Institute for Computer Science, Johannes Gutenberg University Mainz, Germany

  37. Tensor Cookbook: Mastering Tensors through Diagrams

    May 15, 2026Beheshteh T. Rakhshan, Guillaume RabusseauTensor NetworksDiagrams

    Mila & DIRO · Université de Montréal · CIFAR AI Chair

  38. When Are Two Networks the Same? Tensor Similarity for Mechanistic Interpretability

    May 14, 2026ML Nissen Gonzalez, Melwina Albuquerque, Laurence Wroe +3Mechanistic InterpretabilityTensor Networks

    MARS & University Heidelberg · MARS · MARS & Stanford University +2

  39. On the Approximation Complexity of Matrix Product Operator Born Machines

    May 12, 2026Chao Li, Zerui Tao, Yuchen Cong +2Tensor NetworksVariational Inference

    RIKEN-AIP · Jutentedo University

  40. SCALAR: A Neurosymbolic Framework for Automated Conjecture and Reasoning in Quantum Circuit Analysis

    May 11, 2026Sean Feeney, Pooja Rao, Andreas Klappenecker +5Tensor NetworksOpen Problems

    Department of Computer Science, Texas A&M University, College Station, USA · NVIDIA Corporation, Santa Clara, USA · Computing and Artificial Intelligence Division (CAI-3), Los Alamos National Laboratory, Los Alamos, USA

  41. Entanglement is Half the Story: Post-Selection vs. Partial Traces

    May 4, 2026Gustav J L Jäger, Krzysztof Bieniasz, Martin B Plenio +1Tensor NetworksQuantum Machine Learning

    Institut für KI-Sicherheit, Deutsches Zentrum für Luft- und Raumfahrt e.V., Wilhelm-Runge-Straße 10, Ulm, 89081, Germany. · Institut für Theoretische Physik and IQST, Universität Ulm,2026 Albert-Einstein-Allee 11, Ulm, 89081, Germany.

  42. Laplace Approximation for Bayesian Tensor Network Kernel Machines

    Apr 29, 2026Albert Saiapin, Kim BatselierBayesian Neural NetworksGaussian Process

    1Delft Center for Systems and Control, Delft University of Technology

  43. Grounding vs. Compositionality: On the Non-Complementarity of Reasoning in Neuro-Symbolic Systems

    Apr 29, 2026Mahnoor Shahid, Hannes RotheNeuro-Symbolic FrameworkCompositional Generalization

    Universität Duisburg Essen, Germany

  44. Quantum-Inspired Robust and Scalable SAR Object Classification

    Apr 28, 2026Maximilian Scharf, Marco Trenti, Felix Bock +5Synthetic Aperture RadarTensor Networks

    Tensor AI Solutions GmbH, Max-Rauth-Str. 16, Pfaffenhofen an der Roth, Germany · Hensoldt Sensors GmbH, Wörthstraße 85, Ulm, Germany · German Aerospace Center (DLR), Microwaves and Radar Institute, Oberpfaffenhofen, Germany

  45. NeSyCat: A Monad-Based Categorical Semantics of the Neurosymbolic ULLER Framework

    Apr 27, 2026Daniel Romero Schellhorn, Till MossakowskiNeuro-Symbolic FrameworkFirst-Order Logic

    University of Osnabrück, Osnabrück, Germany.

  46. Natural gradient descent with momentum

    Apr 16, 2026Anthony Nouy, Agustín SomacalGradient DescentGradient

    Centrale Nantes, Nantes Universit´e, Laboratoire de Math´ematiques Jean Leray UMR CNRS 6629

  47. Prism: Symbolic Superoptimization of Tensor Programs

    Apr 16, 2026Mengdi Wu, Xiaoyu Jiang, Oded Padon +1Optimizer DesignTensor Networks

    Carnegie Mellon University USA · Tsinghua University China · Weizmann Institute of Science Israel

  48. Riemannian Optimization on Tree Tensor Networks with Application in Machine Learning

    Jul 29, 2025Marius Willner, Marco Trenti, Dirk LebiedzTensor NetworksRiemannian Optimization

    Chair of Mathematical Data Science, University of Augsburg, Augsburg, Germany · Tensor AI Solutions GmbH, Pfaffenhofen a.d. Roth, Germany · Institute for Numerical Mathematics, University of Ulm, Ulm, Germany

  49. Tensorization is a powerful but underexplored tool for compression and interpretability of neural networks

    May 26, 2025Safa Hamreras, Sukhbinder Singh, Román OrúsTensor NetworksNeural Network

    Donostia International Physics Center, Paseo Manuel de Lardizabal 4, E-20018 San Sebastián, Spain · Multiverse Computing, Spadina Ave., Toronto, ON M5T 2C2, Canada · Multiverse Computing, Paseo de Miramón 170, E-20014 San Sebastián, Spain