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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. Beyond Linear Concepts: Discovering and Aligning Non-Linear Concept Manifolds in Large Language Models

    Oct 1, 2026Tido Specht, Elias Benedict Krey, Nils Neukirch +1Large Language Model AlignmentMultimodal Large Language Models

    University of Groningen · Carl von Ossietzky University of Oldenburg

  2. From Redundancy to Minimality: Fixed-Point-Guided Hierarchical Reduction of Learned Piecewise-Linear Dynamics

    Oct 1, 2026Hiroto Tamura, Gouhei TanakaNonlinear DynamicsNonlinearity

    Graduate School of Informatics, Osaka Metropolitan University, Osaka, Japan · International Research Center for Neurointelligence (IRCN), The University of Tokyo, Tokyo, Japan · Graduate School of Engineering, Nagoya Institute of Technology, Nagoya, Japan

  3. On Parameters of Nonlinear Scalar Dynamics from Video: Invariants, Calibration, and Identifiability

    Sep 30, 2026Wenjie Wang, Yuanyuan Wang, Zixiang Jiang +2System IdentificationIdentifiability

    University of Melbourne · Mohamed bin Zayed University of Artificial Intelligence · Carnegie Mellon University

  4. From Distributions to Stochastic Processes: Neural Approximation of Measure-Valued Maps

    Sep 27, 2026Yichen Wang, Ziyi Wang, Wenlian Lu +5Probability MeasuresStochastic Processes

    Shanghai Center for Mathematical Sciences, Shanghai, China · Department of Mathematics, Fudan University, Shanghai, China · Center for Applied Mathematics, Fudan University, Shanghai, China +2

  5. Your Transformer Can Hold Two Thoughts at Once: Evidence of Linear Superposition in LLMs

    Sep 24, 2026Pavel Tikhonov, Anton Korznikov, Matvey Mikhalchuk +6Transformer ArchitecturesNext-Token Distribution

  6. Computation Over Geometry: Meaning Identity Is Computed, Not Shipped in the Embeddings

    Sep 23, 2026Jiaqi DengToken EmbeddingsNonlinearity

    Independent Researcher

  7. Computer-assisted global regularity across nonlinear families of three-dimensional periodic Navier-Stokes flows

    Sep 14, 2026Jose Luis Lima de Jesus SilvaVortexReynolds-Averaged Navier-Stokes

    Federal University of Bahia, Department of Geophysics Salvador, BA 40170-115, Brazil · Grupo de Estudos e Aplicação de Inteligência2026 Artificial em Geofísica (GAIA) Federal University of Bahia, Salvador, BA 40170-115, Brazil

  8. Linearized PINN with pretrained nonlinear layers

    Sep 14, 2026Wenhao Chen, Alexandre M. TartakovskyParametric Physics-Informed Neural NetworkNonlinearity

    Civil and Environmental Engineering Department University of Illinois Urbana-Champaign Urbana, IL 61801, USA · Pacific Northwest National Laboratory Richland, WA 99352, USA

  9. Distributed Lag Neural Additive Models

    Sep 7, 2026Calle Helmersson, Shivang Pandey, Leonardo Olivetti +1Generalized Linear ModelNonlinearity

    Department of Mathematics, KTH Royal Institute of Technology, Stockholm, Sweden · Department of Global Public Health, Karolinska Institutet, Stockholm, Sweden · Swedish Centre for Impacts of Climate Extremes (climes), Uppsala University, Uppsala, Sweden +4

  10. Neural-Network Maxent: a general extension with learned nonlinearity, applied to time-series for Desert Locust distribution modelling

    Sep 3, 2026Alessandro Grassi, Edoardo Kimani Bellotto, Wassim El Azami +2Time SeriesCnn-Lstm

    SISTEMA GmbH, Vienna, Austria · Beyond EO, Paris, France

  11. DeSyR: A Decoupled Symbolic Recovery Framework with PINN-Guided Structure Search and Physics-Informed Coefficient Refinement

    Sep 1, 2026Pancheng Niu, Jun Guo, Qiaolin He +2Ordinary Differential EquationsPhysics-Aware Models

    Chengdu University of Information Technology, College of Applied Mathematics, Chengdu, 610225, China · Sichuan University, School of Mathematics, Chengdu, 610065, China · Hong Kong Polytechnic University, Department of Computing, Hong Kong, 999077, China +1

  12. ββ-VAEs as Effective Theories: Tolerance-Dependent Dimension

    Aug 11, 2026Johannes HirnRepresentation CollapseNonlinearity

    Image Processing Laboratory (IPL), Universitat de València, Paterna, València 46980, Spain

  13. Nonlinear Model Predictive Control via Sequential Convex Programming for Drone-to-Drone Docking

    Aug 11, 2026Neeraj Balachandar, Shriram Hari, Vishnu R. UnniModel Predictive ControlRobust Trajectory

    Department of Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Telangana, India

  14. On the Importance of Geometric Nonlinearity and Temperature-Dependent Properties in Multi-Material Thermo-Mechanical Topology Optimization

    Aug 11, 2026Shirin Hosseinmardi, Xiangyu Sun, Ramin BostanabadTopology OptimizationNonlinearity

    Department of Mechanical and Aerospace Engineering, University of California, Irvine · Department of Civil and Environmental Engineering, University of California, Irvine

  15. Diminishing Returns of Intelligence: The Non-Linear Relationship Between LLM Scale and User Perception in Short-Duration Open-Ended Social Human-Robot Interactions

    Aug 8, 2026Amanda Rasille Røn Volf, Morten Roed FrederiksenHuman-Ai InteractionModel Size

    Computer Science Department of The IT-University of Copenhagen

  16. Splat-Based Metal Artifact Reduction in Cone-Beam CT via Compact Attenuation Modeling

    Aug 5, 2026Kiseok Choi, Jaemin Cho, Inchul Kim +1Cone-Beam Computed TomographyNonlinearity

    KAIST

  17. Exact Contraction Rates via the Berkson--Porta Representation: A Sharp Threshold and Its Herglotz-Kernel Obstruction

    Aug 1, 2026Soumic SarkarConvergenceDecision Thresholds

    Institute of Technology, University of Tartu, Nooruse 1, Tartu, 50411, Estonia.

  18. Variational Quantum Conditional Boltzmann Machines for Time-Series Forecasting: Architectures, Symmetric Hyperparameter Evaluation, and a Nonlinear Benchmark

    Jul 27, 2026Gerhard Hellstern, Danyal Maheshwari, Martin Zaefferer +2Hybrid Quantum-Classical PipelineTime Series Forecasting

    Centre of Finance DHBW Stuttgart Stuttgart, Germany · Zentrum für Digitale Innovationen DHBW Ravensburg Ravensburg, Germany · DATEV eG Nürnberg, Germany

  19. Moving-Horizon Estimation and Nonlinear Model Predictive Control of Cable-Driven Soft Manipulators

    Jul 27, 2026Lingxiao Xun, Haihong Li, Gang ZhengCosserat Rod TheoryRobotic Manipulator

  20. Organization of computation in reservoir computing

    Jul 20, 2026Mohab Abdalla, Damien RontaniReservoir ComputingNonlinearity

    CentraleSupélec, Université de Lorraine, LMOPS EA-4423 Laboratory, 57070 Metz, France

  21. Predicting Grasping Compliance in Robotic Hands through Analytical-Model-Informed Neural Networks

    Jul 20, 2026Qianwen Zhao, Long WangRobotic HandsRobotic Manipulation

    Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ, USA

  22. Spatio-Temporal Prediction of Unsteady Airfoil Aerodynamics Using Augmented Graph Neural Ordinary Differential Equations with Exogenous Controls

    Jul 17, 2026Henrik Lange, Reik Thormann, Philipp BekemeyerAerodynamicsComputational Fluid Dynamic

    German Aerospace Center (DLR), Lilienthalpl. 7, 38108 Brunswick, Germany · Airbus Operations, Airbus Allee 1, 28199 Bremen, Germany

  23. Moment-Resolved Readout and Reservoir Diversity in Nonequilibrium Langevin Computing

    Jul 16, 2026JiZheng Duan, MingYang Zhao, YanWei Chen +1Reservoir ComputingLangevin Dynamics

    Institute of Modern Physics, Chinese Academy of Sciences

  24. Quantum Port-Hamiltonian Neural Networks: Learning Conservative and Dissipative Dynamics via Measurement-Induced Nonlinearity

    Jul 14, 2026Dibakar SigdelQuantum Neural NetworksHamiltonian

    1Mindverse Computing LLC, Lynnwood, WA 98087

  25. Demixing Sparse Signals from Nonlinear Observations using Generalized Non-convex Regularization

    Jul 12, 2026Raziyeh TakbiriRegularizationNonlinearity

    School of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran

  26. Separation Capacity of Scattering Networks on Low-Dimensional Datasets

    Jul 7, 2026Konstantin Häberle, Helmut BölcskeiIntrinsic DimensionalitySeparability

    ETH Zurich

  27. Layer-Parallel Inference Reduces Encrypted Nonlinear Depth in Transformers

    Jul 6, 2026Ligong Han, Kai Xu, Hao Wang +3Homomorphic EncryptionTransformer Architectures

    MBZUAI IFM · Red Hat AI Innovation · MIT-IBM Watson AI Lab +3

  28. Rethinking Neural Nonlinearity as Gating

    Jul 3, 2026Muhammad Sabih, Frank Hannig, Jürgen TeichActivation FunctionsDiscontinuous Gating

    Department of Computer Science, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Germany

  29. GPU-Parallel Linearization Error Bounds for Real-Time Robust Optimal Control of Nonlinear and Neural Network Dynamics

    Jul 1, 2026Jeffrey Fang, Keyi Shen, Anutam Srinivasan +1Nonlinear DynamicsNeural Dynamics

  30. Improving path-tracking performance of an articulated tractor-trailer system using a non-linear kinematic model

    Jun 30, 2026Marina Murillo, Guido Sanchez, Nestor Deniz +2Robust TrajectoryModel Predictive Control

    Research Institute for Signals, Systems and Computational Intelligence, sinc(i), FICH-UNL/CONICET, Ciudad Universitaria UNL, 4◦piso FICH, (S3000) Santa Fe, Argentina.

  31. AETDICE: Unified Framework and Offline Optimization for Nonlinear Multi-Objective RL

    Jun 30, 2026Woosung Kim, Youngjun Suh, Jinho Lee +2Multi-Objective Reinforcement LearningMulti-Objective Optimization

    1Korea University · 2Yonsei University · 3Gauss Labs Inc.

  32. On the Nonlinearity of Learning Rate Scaling for LLM Training

    Jun 28, 2026Zaiwen Yang, Huaqing Zhang, Jing Xu +1BatchLarge Language Model Training

    Tsinghua University · Tsinghua University, Shanghai Qi Zhi Institute

  33. Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs

    Jun 26, 2026Alex Colagrande, Paul Caillon, Eva Feillet +1Fourier Neural OperatorsPartial Differential Equations

    Miles Team, LAMSADE, Université Paris Dauphine-PSL, Paris, France · Université Paris-Saclay, CNRS, LISN, 91400, Orsay, France · ESPCI PSL, Paris, France

  34. Algorithmic Foundations of Deep Learning: Complexity-Theoretic Rates and a Characterization of Universal Approximation

    Jun 25, 2026Anastasis Kratsios, Simone Brugiapaglia, Bum Jun Kim +2Neural ApproximationsApproximation

    McMaster University & Vector Institute, Toronto, ON, Canada · Concordia University, Montréal, QC, Canada · University of Tokyo, Tokyo, Japan +2

  35. Dirac-Frenkel dynamics with inertia for nonlinearly parametrized solutions of evolution problems

    Jun 23, 2026Matteo Raviola, Benjamin PeherstorferInertialNonlinearity

    Scientific Computing and Uncertainty Quantification - CADMOS Chair, EPFL · Courant Institute of Mathematical Sciences, New York University

  36. Leveraging systems' non-linearity to tackle the scarcity of data in the design of Intelligent Fault Diagnosis Systems

    Jun 18, 2026Giancarlo Santamato, Andrea Mattia Garavagno, Massimiliano Solazzi +1Fault DiagnosisVibration

    1*Institute of Mechanical Intelligence, Scuola Superiore Sant’Anna, via Alamanni 13b, Ghezzano, 56010, Pisa, Italy. · Department of Excellence in Robotics & AI, Scuola Superiore Sant’Anna, Pisa, Italy.

  37. Doeblin Curves

    Jun 18, 2026Dongmin Lee, William Lu, Anuran Makur +1CurvesCoefficients

    Department of Computer Science, Purdue University, West Lafayette, IN 47907, USA · Department of Computer Science and the Elmore Family School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USA · Elmore Family School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN 47907, USA

  38. Explicit Interaction Architectures for Dynamical Learning: A Controlled Study of Structural Inductive Bias

    Jun 17, 2026Augusto SartiLearning DynamicsSystem Identification

    Dipartimento di Elettronica, Informazione e Bioingegneria (DEIB), Politecnico di Milano, Piazza L. Da Vinci 32, 20133 Italy.

  39. Measurement noise limits the advantage of nonlinear models over linear models in biomedical prediction

    Jun 16, 2026Marc-Andre Schulz, Kerstin RitterNonlinearityNoisy Data

    Hertie Institute for AI in Brain Health, University of Tübingen, Tübingen, Germany · Tübingen AI Center, University of Tübingen, Tübingen, Germany · Department of Psychiatry and Neurosciences, Charité – Universitätsmedizin Berlin, Berlin, Germany +2

  40. ReRAM-aware Model Finetuning addressing I-V Non-linearity and Retention Errors

    Jun 16, 2026Ching-Yi Lin, Shamik Kundu, Arnab Raha +1In-Memory ComputingNeural Network Inference

    University of Maryland, College Park, MD, USA · Intel Corporation, 2200 Mission College Blvd, Santa Clara, CA 95054, USA

  41. Graph Structured Combinatorial Semi-Bandit with Nonlinear Reward Associations through Separable Signals

    Jun 12, 2026Christoph Bauschmann, Setareh MaghsudiNonlinearityConvergence

    Department of Electrical Engineering and Information Technology Ruhr University Bochum Bochum, Germany

  42. Nonlinear Two-Time-Scale Stochastic Approximation: A Sharp Phase Transition and How to Beat It

    Jun 12, 2026Dhruv Sarkar, Vaneet AggarwalStochastic ApproximationFinite Time Analysis

    1Indian Institute of Technology Kharagpur · 2Mohamed bin Zayed University of Artificial Intelligence · 3Purdue University

  43. How Linear Is a Transformer Feed-Forward Block? Per-Block Linear Recoverability Is Learned, Not Architectural

    Jun 12, 2026Stuart WhippFeed-ForwardTransformer Architectures

    Independent Research

  44. Non-linear mechanical field reconstruction coupling recurrent neural networks with physics-informed graph neural networks

    Jun 9, 2026Manuel Ricardo Guevara Garban, Yves Chemisky, Étienne Prulière +3Finite Element MethodPorous Media

    Univ. Bordeaux, CNRS, Bordeaux INP, I2M, UMR 5295, Talence, France · Univ. Bordeaux, CNRS, Bordeaux INP, LaBRI, UMR 5800, Talence, France · Institute of Mechanics and Fluid Dynamics, TU Bergakademie Freiberg, Freiberg, 09599, Germany +2

  45. Model-based Optimization of Anguilliform Swimming Gaits for Soft Robotic Applications

    Jun 9, 2026Brian Van Stratum, James Gallentine, Caleb Rucker +3Soft RoboticsFluid Dynamics

    FAMU/FSU College of Engineering, Tallahassee, FL 323109 · Mechanical Engineering, Vanderbilt University, Nashville Tennessee 37235 · Mechanical Engineering, The University of Tennessee, Knoxville, Tennessee 37996

  46. Generalization in Nonlinear Least Squares via Learned Feature Geometry

    Jun 7, 2026Ayub Kharel, Ilja Kuzborskij, Patrick Rebeschini +1Generalization BoundsLeast Squares

    University of Oxford · Google DeepMind · Sapient Intelligence

  47. PE-MHL: Physics-Encoded Modular Hybrid Layers for Scalable Learning of Complex Systems

    Jun 2, 2026Ismail Hassaballa, Mircea LazarMultilayer PerceptronsNonlinearity

    Eindhoven University of Technology Eindhoven, Netherlands

  48. S3TS: Stochastic Scenario-Structured Tree Search for Advanced Planning Under Uncertainty

    Jun 1, 2026Fabio Pavirani, Bert Claessens, Pierre Pinson +1Demand ResponsePower Systems

    IDLab Ghent university – imec, Technologiepark Zwijnaarde 126, 9052 Gent, Belgium · Beebop.ai, Belgium · Imperial College London, London, UK

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

    May 31, 2026Gishnu Madhu, Feng Liu, Souma ChowdhuryParticle Swarm OptimizationRobot Planning

    University at Buffalo Buffalo, New York, 14260

  50. Breaking the Cascade: Compact Nonlinear Optical Computing with Single-Layer Encoder-Decoder Co-Localization

    May 31, 2026Yuntian Wang, Alexander Chen, Md Sadman Sakib Rahman +1Photonic Transformer AcceleratorsNonlinearity

    1Electrical and Computer Engineering Department, University of California, Los Angeles, CA, 90095, USA

  51. Series-Parallel Integrated Nonlinear Elastic Actuator applied to the lean motion of a bicycle simulator

    May 29, 2026Christina Kohler, Michiel Plooij, Nuria Peña-Perez +2Soft Pneumatic ActuatorsHaptic Feedback

    Institute of Automatic Control, RWTH Aachen University, 52074 Aachen, Germany · Demcon Life Sciences & Health, 2628 Delft, The Netherlands · Hapticlink Technologies, 2611 Delft, The Netherlands +2

  52. Flow map learning in nonlinear vector autoregressive models: influence of the feature-library structure on the training error

    May 29, 2026Markus GrossNonlinear DynamicsNonlinearity

    Institute for AI Safety and Security, German Aerospace Center (DLR), Sankt Augustin and Ulm, Germany

  53. Sparse POD Mode Selection and Manifold Dimensionality Reduction with Neural Networks

    May 26, 2026Tomoki Koike, Prakash Mohan, Marc T. Henry de Frahan +2Dimensionality ReductionReynolds-Averaged Navier-Stokes

    School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA · Computational Science Center, National Laboratory of the Rockies (NLR), Golden, CO

  54. On the Subgaussianity of Quantized Linear Maps: An AI-Assisted Note

    May 26, 2026Guangyi Zou, Roman VershyninNon-GaussianityGaussian Primitives

    Department of Mathematics, University of California, Irvine

  55. Nonlinear Data Integration via Kernel Methods for Data Collaboration Analysis

    May 26, 2026Yamato Suetake, Yuta Kawakami, Shunnosuke Ikeda +1Kernel MethodDimensionality Reduction

    Graduate School of Science and Technology, University of Tsukuba, Tsukuba, Ibaraki, Japan · Institute of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki, Japan

  56. Chaos-SSL: An Attention-Based Self-Supervised Learning Framework with Chaotic Transformation for Medical Image Classification

    May 26, 2026Joao Batista FlorindoMedical Image ClassificationSelf-Supervised Learning

    Institute of Mathematics, Statistics and Scientific Computing, University of Campinas, Rua Sergio Buarque de Holanda, 651, Campinas, Brazil

  57. Learning Nonlinear Factor Models with Unknown Monotone Links from Incomplete and Noisy Data

    May 25, 2026Yutong Chao, Resat Gökhan, Jalal Etesami +1Exploratory Factor AnalysisNonlinearity

    School of Computation, Information and Technology, Technical University of Munich, Germany · Munich Institute of Robotics and Machine Intelligence · Department of Economics, Virginia Tech, USA

  58. Riemannian Archetypal Analysis: Interpretable non-linear data analysis on deformed star distributions

    May 22, 2026Willem Diepeveen, Deanna NeedellRiemannian ManifoldsNonlinearity

    Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095, USA

  59. Coupling-Robust Accuracy in Multiphysics Physics Informed Neural Networks via Kronecker-Preconditioned Optimization

    May 22, 2026Youngjae Park, Jaemin Kim, Junghwa HongParametric Physics-Informed Neural NetworkSpectral Preconditioning

    Dept. of Control and Instrumentation Engineering, Korea University, Sejong, South Korea · BK21 FOUR Smart Mobility Education and Research Team, Korea University, Sejong, South Korea

  60. B-cos GNNs: Faithful Explanations through Dynamic Linearity

    May 19, 2026Joschka Groß, Mohammad Shaique Solanki, Verena WolfExplainabilityGraph Neural Networks

    Saarland Informatics Campus, Saarland University · DFKI