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11 papers in the last four weeks, against 1 the four weeks before. 0.1% of all new papers.

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  1. Neural Algorithmic Reasoning for Graph Saddle Point Problems

    Oct 5, 2026Samantha Chen, Jesse He, Coleman Clougherty +2Neural SolversNeural Network Optimization

    Oberlin College · Department of Computer Science, Oberlin College · University of California, San Diego +2

  2. Physics-Informed but Not Physics-Consistent: Error Geometry and Subspace Projection for Neural AC Power Flow

    Oct 5, 2026Changhun Kim, Timon Conrad, Redwanul Karim +7Parametric Physics-Informed Neural NetworkNeural Solvers

    Pattern Recognition Lab, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany · Institute of Electrical Energy Systems, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

  3. Depot-Closed Multi-Component Construction for Neural Vehicle Routing

    Sep 28, 2026Shinichiro Hamada, Hisashi KashimaVehicle Routing ProblemNeural Combinatorial Optimization

    Core Technology, R&D Division Panasonic Connect Co., Ltd. · Graduate School of Informatics Kyoto University

  4. Compute Time Scaling with Recursive Models for Combinatorial Optimization

    Sep 28, 2026Zhengxi Zhang, Paul SwobodaCombinatorial OptimizationNeural Solvers

  5. GridSFM: A Foundation Model for Solving AC Optimal Power Flow

    Sep 24, 2026Luke Bhan, Weiwei Yang, Margaret Capetz +1Optimal Power FlowNeural Solvers

    University of California, San Diego · Microsoft Research · University of Washington

  6. A Hybrid Iterative Deep Ritz Method for Elliptic Interface Problems

    Sep 23, 2026Tianhao Hu, Bangti Jin, Fengru Wang +1Neural SolversVariational Formulation

    Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong · Department of Mathematics & Scientific Computing Key Laboratory of Shanghai Universities, Shanghai Normal University, Shanghai 200234, China.

  7. Exploring Solver-Level Warmstarting for Neural Network Verification

    Sep 22, 2026Annelot Bosman, Minghao Liu, Marta Kwiatkowska +2Neural Network VerificationNeural Solvers

    Leiden Institute of Advanced Computer Science, Leiden · University of Oxford, United Kingdom · Chair for AI Methodology, RWTH Aachen University, Germany +1

  8. Amortizing Physics-Informed Neural Solvers via Graph Hypernetworks

    Sep 17, 2026Cheng Jing, Abhishek Verma, Kallol Bera +2Parametric Physics-Informed Neural NetworkNeural Solvers

    Arizona State University · Applied Materials Inc.

  9. Unified Heterogeneous Graph Neural Network solver for Power Flow, Optimal Power Flow and State Estimation

    Sep 15, 2026Ferran Bohigas-Daranas, Hamid Latif-Martínez, Eduardo Prieto-Araujo +2Optimal Power FlowPower Systems

  10. Single-condition neural solvers encode transferable response spaces for parametric differential equations

    Sep 14, 2026Wenbo Cao, Weiwei ZhangNeural Partial Differential Equation SolversNeural Solvers

    Institute of AI for Industries, Chinese Academy of Sciences, Nanjing 211135, China · Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100190, China · School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China +2

  11. Physics-enriched neural solvers for transient ice-flow simulation

    Sep 14, 2026Thomas Gregov, Sebastian Rosier, Brandon Finley +2Neural SolversParametric Physics-Informed Neural Network

    Institute of Earth Surface Dynamics, Universit´e de Lausanne, Lausanne, Switzerland · Department of Geography, Universität Zürich, Zürich, Switzerland

  12. Dual-guided Hierarchical Edge Localization for Large-scale Optimal Transport Across Dimensions

    Sep 14, 2026Wenzhou Xia, Qiaoqiao Ding, Jingwei Liang +1Differentiable Optimal TransportOptimal Transport Approach

    School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China · Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

  13. HyCO: A Hybrid Neural Solver for Combinatorial Optimization

    Sep 7, 2026Yuheng Li, Di Yang, Haipeng Chen +1Neural Combinatorial OptimizationNeural Solvers

    Department of Data Science College of William & Mary

  14. GENCO - A Unified Neural Solver Embedded in a Development Framework for Steady-State Grid Analysis

    Aug 10, 2026Alban Puech, Matteo Mazzonelli, Tamara R. Govindasamy +19Optimal Power FlowPower Systems

    IBM Research · Reliability and Risk Engineering Laboratory, ETH Zurich, Switzerland · Hydro-Qu´ebec Research Institute, Canada +3

  15. Bound-Founded Semantics for Answer Set Programming with Difference Constraints: Preliminary Report

    Jul 23, 2026Pedro Cabalar, Jorge Fandinno, Nicolas Rühling +3Answer Set ProgrammingInequality Constraints

    University of A Corunna, Spain · University of A Coruña, Spain · University of Nebraska at Omaha, USA +3

  16. Anatomy of a Sound Neural Reasoner: One-Shot Amortization, First-Pass Poisoning, and Search Inertness in Clue-Rich Completion

    Jul 22, 2026Aleksey KomissarovPuzzleNeural Solvers

    Neapolis University, Pafos, Cyprus

  17. On the Effectiveness of Pretraining for Graph Combinatorial Optimization

    Jul 21, 2026David Aguado, Daniel Fuertes, Carlos R. del-Blanco +1Combinatorial OptimizationSalesman Problem

    Grupo de Tratamiento de Imágenes, Information Processing and Telecomunications Center, ETSI Telecomunicación, Universidad Politécnica de Madrid, 28040, Madrid, Spain

  18. LaT: LLM-as-Trainer for Multi-Task Vehicle Routing Solvers

    Jul 20, 2026Yang Wang, Ya-Hui Jia, Wei-Neng Chen +3Vehicle Routing ProblemNeural Solvers

    School of Future Technology, South China University of Technology, China · School of Computer Science and Engineering, South China University of Technology, China · School of Engineering and Computer Science, Victoria University of Wellington, New Zealand +2

  19. Graph Coloring Approach to Solving Sudoku with Oscillatory Neural Networks

    Jul 17, 2026Filip Sabo, Aida Todri-SanialNeural SolversNeural Network

    NanoComputing Research Lab, Electrical Engineering Department Eindhoven University of Technology Eindhoven, the Netherlands

  20. Power Flow Feasibility Assessment Using Variational Graph Autoencoders

    Jul 10, 2026Ferran Bohigas-Daranas, Hamid Latif-Martinez, Eduardo Prieto-Araujo +2Optimal Power FlowConditional Variational Autoencoder

    CITCEA UPC Barcelona, Spain · BNN UPC Barcelona,Spain

  21. Two Black Boxes, One Solver: Encoder Probing and Decoder Attribution for Neural Multi-Attribute VRP under Hard-Mask and Recourse Decoders

    Jul 5, 2026Sohaib AfifiVehicle Routing ProblemNeural Solvers

    Univ. Artois, UR 3926, Laboratoire de G´enie Informatique et d’Automatique de l’Artois (LGI2A), F-62400 B´ethune, France

  22. Error-Conditioned Neural Solvers

    Jun 25, 2026Haina Jiang, Liam Wang, Peng-Chen Chen +4Neural Partial Differential Equation SolversNeural Solvers

    University of Michigan · KAIST AI · Los Alamos National Laboratory

  23. A Zeroth-Order Deep Learning Method for Fully Nonlinear Parabolic Partial Differential Equations with Unknown Coefficients

    Jun 23, 2026Yanwei Jia, Du Ouyang, Huyên Pham +1Partial Differential EquationsNonlinear Operators

    Department of Systems Engineering and Engineering Management The Chinese University of Hong Kong Shatin, New Territories, Hong Kong SAR · Department of Mathematical Sciences Tsinghua University Beijing, Beijing 100084, China · CMAP Ecole Polytechnique Route de Saclay, Palaiseau 91128, France +1

  24. TurboMPC: Fast, Scalable, and Differentiable Model Predictive Control on the GPU

    Jun 23, 2026Gabriel Bravo-Palacios, Jianghan Zhang, Zachary Pestrikov +2Model Predictive ControlMujoco

    Dartmouth College, Hanover, NH, USA · Toyota Research Institute, Los Altos, CA, USA

  25. GeoRouteNet: Geometry-Enhanced Non-Autoregressive Neural Solver for the Traveling Salesman Problem

    Jun 22, 2026Xiang LiSalesman ProblemNeural Solvers

    College of Computer Science, Yangtze University, Jingzhou, China

  26. PL-KKT-hPINN: Enforcing Nonlinear Equality Constraints on Neural Networks via Piecewise-Linear Projection

    Jun 9, 2026Fateme Mohammad Mohammadi, Hector Budman, Joshua L. PulsipherParametric Physics-Informed Neural NetworkInequality Constraints

    Department of Chemical Engineering University of Waterloo, 200 University Ave W, Waterloo, ON N2L 3G1, Canada

  27. A Per-Component Diagnostic Protocol for Neural HJB-PIDE Solvers under Control-Dependent Lévy Jumps

    May 31, 2026R. DrissiNeural SolversHamilton-Jacobi Reachability

  28. A Novel Tensor Product-Based Neural Network for Solving Partial Differential Equations

    May 28, 2026Qihong Yang, Yangtao Deng, Qiaolin He +1Neural Partial Differential Equation SolversPartial Differential Equations

    School of Mathematics, Sichuan University, Chengdu, 610065, China

  29. LoRe: Adaptive Interaction-Evaluation Routing with Per-Step Interaction Budgets for Iterative Graph Solvers

    May 27, 2026Jintao Li, Yong-Yi Wang, Zheng-An Wang +1Neural SolversSolver Iterations

    Beijing Key Laboratory of Fault-Tolerant Quantum Computing, Beijing Academy of Quantum Information Sciences, Beijing, China · Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, CAS, Beijing, China · Beijing Key Laboratory of Advanced Quantum Technology, Beijing, China +1

  30. SPACE: Unifying Symmetric and Asymmetric Routing Problems for Generalist Neural Solver

    May 23, 2026Rongsheng Chen, Changliang Zhou, Canhong Yu +4Vehicle Routing ProblemNeural Solvers

    School of Automation and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China · Pengcheng Laboratory, Shenzhen, China · Guangdong Provincial Key Laboratory of Fully Actuated System Control Theory and Technology, Southern University of Science and Technology, Shenzhen, China +1

  31. WeCon: An Efficient Weight-Conditioned Neural Solver for Multi-Objective Combinatorial Optimization Problems

    May 20, 2026Xuan Wu, Jinbiao Chen, Yang Li +7Neural Combinatorial OptimizationNeural Solvers

    Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, College of Computer Science and Technology, Jilin University, Changchun 130012, China · Department of Industrial Systems Engineering and Management, National University of Singapore, Singapore 117576, Singapore · College of Software, Jilin University, Changchun 130012, China +3

  32. COAgents: Multi-Agent Framework to Learn and Navigate Routing Problems Search Space

    May 20, 2026Oleksandr Yakovenko, Mahdi Mostajabdaveh, Cheikh Ahmed +4Vehicle Routing ProblemMulti-Agent Path Finding

    Huawei Technologies Canada, 4321 Still Creek Dr, Burnaby, BC, Canada V5C 6S7 · Huawei Technologies, China

  33. All-atomistic Transferable Neural Potentials for Protein Solvation

    May 14, 2026Rishabh Dey, Salvina Sharipova, Konstantin PopovTransferable Implicit Solvent Machine Learning PotentialNeural Solvers

    University of North Carolina at Chapel Hill - Eshelman School of Pharmacy

  34. Rethinking Constraint Awareness for Efficient State Embedding of Neural Routing Solver

    May 11, 2026Canhong Yu, Changliang Zhou, Rongsheng Chen +2Vehicle Routing ProblemNeural Solvers

    College of Computer Science and Software Engineering, Shenzhen University, Shenzhen, China · School of Automation and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China · Guangdong Provincial Key Laboratory of Fully Actuated System Control Theory and Technology, Southern University of Science and Technology, Shenzhen, China +1

  35. CarCrashNet: A Large-Scale Dataset and Hierarchical Neural Solver for Data-Driven Structural Crash Simulation

    May 8, 2026Mohamed Elrefaie, Dule Shu, Matthew Klenk +1CrashesAccident Source Term Evaluation Code

    Department of Mechanical Engineering MIT Cambridge, MA, USA · Future Product Innovation Toyota Research Institute Los Altos, CA, USA

  36. INEUS: Iterative Neural Solver for High-Dimensional PIDEs

    May 7, 2026Jean-Loup Dupret, Davide Gallon, Patrick CheriditoNeural Partial Differential Equation SolversPartial Differential Equations

    Department of Mathematics and RiskLab, ETH Zurich, Switzerland · Applied Mathematics: Institute for Analysis and Numerics, University of Münster, Germany

  37. RETO: A Rotary-Enhanced Transformer Operator for High-Fidelity Prediction of Automotive Aerodynamics

    Apr 30, 2026Bojun Zhang, Huiyu Yang, Yunpeng Wang +4AerodynamicsNeural Solvers

    Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055, China · Shenzhen Key Laboratory of Complex Aerospace Flows, Southern University of Science and Technology,Shenzhen 518055, China · Ningbo Key Laboratory of Advanced Manufacturing Simulation, Eastern Institute of Technology, Ningbo, 315200, China +1

  38. A Green-Integral-Constrained Neural Solver with Stochastic Physics-Informed Regularization

    Apr 23, 2026Mohammad Mahdi Abedi, David Pardo, Tariq AlkhalifahParametric Physics-Informed Neural NetworkNeural Solvers

    University of the Basque Country (UPV/EHU), Department of Mathematics, Spain · Basque Center for Applied Mathematics (BCAM), Bilbao, Spain · Ikerbasque, Basque Foundation for Science, Bilbao, Spain +1

  39. CO2_2 sequestration hybrid solver using isogeometric alternating-directions and collocation-based robust variational physics informed neural networks (IGA-ADS-CRVPINN)

    Apr 22, 2026Askold Vilkha, Tomasz Służalec, Marcin Łoś +1Neural SolversAlgebraic Multigrid

    AGH University of Krakow, Faculty of Computer Science, Al. Mickiewicza 2026 30, Kraków, 30-059, Poland

  40. A Structure-Preserving Graph Neural Solver for Parametric Hyperbolic Conservation Laws

    Apr 17, 2026Jiamin Jiang, Shanglin Lv, Jingrun ChenNeural SolversSurrogate Models

    School of Artificial Intelligence and Data Science and Suzhou Institute for Advanced Research, University of Science and Technology of China, and Suzhou Big Data & AI Research and Engineering Center, China · School of Mathematical Sciences, University of Science and Technology of China, China · School of Mathematical Sciences and Suzhou Institute for Advanced Research, University of Science and Technology of China, and Suzhou Big Data & AI Research and Engineering Center, China

  41. Transolver-3: Scaling Up Transformer Solvers to Industrial-Scale Geometries

    Feb 4, 2026Hang Zhou, Haixu Wu, Haonan Shangguan +4Neural Partial Differential Equation SolversNeural Solvers

    School of Software, BNRist, Tsinghua University, China.

  42. HJCD-IK: GPU-Accelerated Inverse Kinematics through Batched Hybrid Jacobian Coordinate Descent

    Oct 8, 2025Cael Yasutake, Andrew H. Liu, Zachary Kingston +1Inverse KinematicsNeural Solvers

    Columbia University, NY, USA. · Purdue University, IN, USA. · Barnard College, Columbia University, NY, USA, & Dartmouth College, NH, USA.

  43. Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation

    Aug 29, 2025Bangti Jin, Longjun WuParametric Physics-Informed Neural NetworkStochastic Gradient Descent

    Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, P.R. China

  44. Accelerating Natural Gradient Descent for PINNs with Randomized Numerical Linear Algebra

    May 16, 2025Ivan Bioli, Carlo Marcati, Giancarlo SangalliSpectral PreconditioningNeural Solvers

    Department of Mathematics, University of Pavia, Via A. Ferrata 5, 27100 Pavia, Italy · Department of Civil Engineering and Architecture, University of Pavia, Via A. Ferrata 3, 27100 Pavia, Italy · Istituto di Matematica Applicata e Tecnologie Informatiche “E. Magenes”, CNR, Via A. Ferrata 1, 27100 Pavia, Italy

  45. Monotone Neural Policy Iteration for High-Dimensional First-Order Hamilton--Jacobi--Bellman Equations

    Date pendingMinseok Kim, Yeongjong Kim, Namkyeong Cho +1Hamilton-Jacobi ReachabilityModel-Based Reinforcement Learning

    Department of Applied Artificial Intelligence, Seoul National University of Science and Technology, Seoul, Republic of Korea. · Department of Mathematics, Pohang University of Science and Technology, Pohang, Republic of Korea. · Department of Mathematical Finance and Big Data, Gachon University, Seongnam, Republic of Korea +1