Lagrangian Methods

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6 papers in the last four weeks, against 2 the four weeks before. 0.1% of all new papers.

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Least-time Gradient Flow
Oct 1, 2026Alessandro Betti, Marco Gori, Stefano Melacci +1Wasserstein Gradient Flows Gradient
Department of Mathematics “Tullio Levi-Civita”, University of Padua, Italy. · Department of Information Engineering and Mathematics, University of Siena, Italy. · University of Florence, Italy.
Searching for BSM Experimental Signatures with Large Lagrangian Models
Sep 29, 2026Ibrahim Elsharkawy, Victoria Knapp-Perez, Wahid Bhimji +1Model Discovery General Relativity
Department of Physics, University of Toronto and Vector Institute, Toronto, ON, Canada · NERSC, Lawrence Berkeley National Laboratory, Berkeley, California, USA · Department of Physics and Astronomy, University of California, Irvine, CA 92697 +3
Learning to Harvest Without Collapse in a Regenerative Commons: A Lagrangian Framework
Sep 29, 2026Jose Tupayachi, Xueping Li, Soham DasLagrangian Methods Feasibility
Oak Ridge National Laboratory Department of Industrial and Systems Engineering, University of Tennessee, Knoxville · Department of Industrial and Systems Engineering, University of Tennessee, Knoxville
CLAD: Constrained Abstract Domain for Neural Network Verification
Sep 28, 2026Hai Duong, Thanh Le, ThanhVu NguyenNeural Network Verification Neural Network
Department of Computer Science George Mason University Fairfax, VA, USA · Unaffiliated Yokosuka, Japan
Special Lagrangian cones in Deep Learning
Sep 17, 2026Tejas Kotwal, Govind MenonManifold Perspective Anisotropic Loss Landscapes
Institute for Advanced Study, Princeton
Lie-Algebraic Bell Recurrences for Arbitrary-Order Twist Jets and Parallel-Mechanism Closure
Sep 11, 2026Daniel ConduracheKinematic Chain Kinematics
Gheorghe Asachi Technical University of Iaşi, Iaşi, Romania
A Lagrangian View of Flow Matching
Aug 31, 2026Peyman MilanfarLatent Transport Generative Models
1Google
History-informed Lagrangian Neural Networks
Aug 13, 2026Tianshuo Zhang, Xianglei Xing, Wenzhe Zhai +2Lagrangian Methods Parametric Physics-Informed Neural Network
College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, China
Hybrid Lagrangian-Eulerian Model for Lagrangian Fluid Simulation
Aug 2, 2026Ruoyan Li, Wei Wang, Yizhou SunLagrangian Methods Fluid Dynamics
University of California, Los Angeles
A note on the motion representation and configuration update in time stepping schemes for the constrained rigid body
Jul 27, 2026A. MüllerRigid-Body Dynamics Lie Group
Institute of Robotics, Johannes Kepler University, Altenbergerstr. 69, 4040 Linz, Austria
Physics-Informed Neural Networks for Discovering Periodic Orbits in the Gravitational Three-Body Problem
Jul 26, 2026Nikolaos Kollias, Nikolaos MatzakosParametric Physics-Informed Neural Network Near-Earth Objects
School of Science and Technology, Hellenic Open University, Athens, Greece. · School of Pedagogical and Technological Education (ASPETE), Athens, Greece.
Certified-Gap Dual-Price Policies for Real-Time Truckload Bid Acceptance with Relocating, Clock-Constrained Resources
Jul 18, 2026Aswin ChandrasekaranLogistics Knapsack Constraint
Bubba AI
Hybrid Augmented Lagrangian Method for General Constrained Optimization via Evolutionary Algorithms
Jul 18, 2026Lampros Printzios, Konstantinos ChatzilygeroudisConstrained Optimization Genetic Algorithms
Laboratory of Automation & Robotics (LAR), Department of Electrical & Computer Engineering, University of Patras, University Campus, Patras, GR-26504, Achaia, Greece
Learning Forced Multibody Dynamics on Lie Groups
Jul 14, 2026Martine Dyring Hansen, Marta Ghirardelli, Elena Celledoni +2Lagrangian Methods Rigid-Body Dynamics
Department of Mathematics and Cybernetics, SINTEF Digital Forskningsveien 1, 0373 Oslo, Norway · Department of Mathematical Sciences Norwegian University of Science and Technology (NTNU) Alfred Getz’ vei 1, 7034 Trondheim, Norway · Instituto de Ciencias Matematicas (CSIC) Calle Nicolás Cabrera 13-15, Cantoblanco, 28048 Madrid, Spain
Nonconvex Composite Functional Constraints via First-Order Augmented Lagrangian Methods under Local Regularity
Jul 9, 2026Linglingzhi Zhu, Jiajin LiConvex Optimization Primal-Dual Methods
H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, GA, USA. · Sauder School of Business, University of British Columbia, Vancouver, BC, Canada.
Input-Constrained Spatiotemporal Tubes for Safe Navigation of Unknown Euler-Lagrange Systems in Dynamic Environments
Jul 9, 2026Siddhartha Upadhyay, Ratnangshu Das, Pushpak JagtapSpatiotemporal Tube Actuator
Department of Cyber-Physical Systems Indian Institute of Science, Bengaluru, India · Department of Cyber-Physical Systems Indian Institute of Science„ Bengaluru, India
Learning Spatiotemporal Tubes for Full Class of Signal Temporal Logic Tasks for Control of Unknown Systems under Input Constraints
Jul 8, 2026Ahan Basu, Ratnangshu Das, Soumyodipta Nath +2Spatiotemporal Tube Lagrangian Methods
Centre for Cyber-Physical Systems Indian Institute of Science, Bengaluru, India · Electrical Engineering Department, Eindhoven Institute of Technology, Netherlands
Learning from Demonstration via Spatiotemporal Tubes for Unknown Euler-Lagrange Systems
Jul 1, 2026Ratnangshu Das, Puneeth Shankar, Varuni Buereddy +2Spatiotemporal Tube Lagrangian Methods
Robert Bosch Centre for Cyber-Physical Systems IISc, Bengaluru, India
A Bayesian Filtering Approach for Learning Lagrangian Dynamics from Noisy Measurements
Jun 30, 2026Kundan Kumar, Shreya Das, Simo SärkkäBayesian Filtering Lagrangian Methods
Wind and State Estimation on SE(3): Comparative Evaluation of EKF and UKF with Continuous and Discrete Quadrotor Models
Jun 29, 2026Hiranya Udagedara, Adam Bigsby, Mahdis BishebanExtended Kalman Filter Quadrotor
Dept. of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada
Lagrange: An Open-Vocabulary, Energy-Based Sparse Framework for Generalized End-to-End Driving
Jun 18, 2026Shihao Ji, HongXi Li, Zihui Song +1Autonomous Driving Open-World
The Standard Interpretable Model: A general theory of interpretable machine learning to deductively design interpretable methods using Lagrangian mechanics
Jun 10, 2026Pietro Barbiero, Giovanni De Felice, Mateo Espinosa Zarlenga +5Mechanistic Interpretability Intuition
IBM Research (CH) · Universit`a della Svizzera Italiana (CH) · University of Oxford (UK) +1
LieIPM: Lie Group Interior Point Method for Direct Trajectory Optimization of Rigid Bodies
Jun 9, 2026Sangli Teng, Ruiqi Zhang, Tzu-Yuan Lin +5Rigid-Body Dynamics Robust Trajectory
University of California, Berkeley · MIT · Ohio University +1
Physics-Aware Sparse Learning and Selective Online Adaptation for Euler-Lagrange Robot Dynamics
Jun 8, 2026Rishabh Dev Yadav, Samaksh Ujjawal, Sihao Sun +2Inverse Dynamics Lagrangian Methods
Department of Computer Science, The University of Manchaster, U.K. · Department of Cognitive Robotics, Delft University of Technology, Netherlands · International Institute of Information Technology Hyderabad. +1
OnlyDense: Reduced-Order Modeling for Lagrangian simulation
Jun 8, 2026Tu Do, Shannon Ryan, Santu RanaReduced-Order Models Lagrangian Methods
A2I2, Deakin University, Geelong, Victoria, Australia
Scaling Decision-Focused Learning to Large Problems with Lagrangian Decomposition
Jun 7, 2026Stéphane Eilles-Chan Way, Hugo Percot, Quentin Cappart +2Linear Programming Decentralized Optimization
Polytechnique Montréal, Montreal, Canada · Ecole Polytechnique, Palaiseau, France · UCLouvain, Louvain-la-Neuve, Belgium +2
Tiny Recursive Models for Solving the J2-Perturbed Lambert Problem
May 30, 2026Minduli Wijayatunga, Roberto ArmellinNewton Lagrangian Methods
Department of Aerospace Engineering University of Illinois Urbana-Champaign Urbana-Champaign, IL, USA · Te Pūnaha Ātea – Space Institute University of Auckland Auckland, New Zealand
SLAP: The Semantic Least Action Principle for Variational Video-Language Modeling
May 29, 2026Xiang Fang, Wanlong FangVideo-Language Models Lagrangian Methods
School of Software Engineering, Huazhong University of Science and Technology · Nanyang Technological University, Singapore
Learning effective Sargassum transport dynamics from limited drifter observations
May 28, 2026F. J. Beron-VEra, M. J. Olascoaga, J. Morell +1Latent Transport Lagrangian Methods
Department of Atmospheric Sciences Rosenstiel School of Marine, Atmospheric, and Earth Science University of Miami Miami, Florida, USA · Department of Ocean Sciences Rosenstiel School of Marine, Atmospheric, and Earth Science University of Miami Miami, Florida, USA · Department of Marine Sciences University of Puerto Rico Mayagüez, Puerto Rico
L-Learning : A Lyapunov-Based Approach Leveraging Lagrangian Mechanics for Efficient and Stable Robot Tracking
May 26, 2026Quan Quan, Hao LiControl Architecture Lyapunov Function
1Quan Quan and Hao Li are with School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China
Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics
May 20, 2026April Tran, Terry Haut, David Bortz +1Partial Differential Equations Constrained Optimization
Department of Applied Mathematics, University of Colorado, Boulder, CO, 80309, USA · Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, 94550, CA, USA
Physics-Informed Graph Neural Network Surrogates for Turbulent Nanoparticle Dispersion in Dental Clinical Environments
May 19, 2026Takshak Shende, Viktor PopovComputational Fluid Dynamic Graph Neural Networks
Department of Mechanical Engineering, University College London (UCL), London, United Kingdom · Ascend Technologies Ltd, Southampton, United Kingdom
WorldParticle: Unified World Simulation of Lagrangian Particle Dynamics via Transformer
May 14, 2026Caoliwen Wang, Minghao Guo, Siyuan Chen +13Physics Simulation Particle Dynamics
University of British Columbia, Canada · MIT CSAIL, USA · Georgia Institute of Technology, USA +7
Augmented Lagrangian Method for Last-Iterate Convergence for Constrained MDPs
May 12, 2026Michael Lu, Max Qiushi Lin, Mo Chen +1Markov Decision Processes Constrained Optimization
Simon Fraser University
LagrangianSplats: Divergence-Free Transport of Gaussian Primitives for Fluid Reconstruction
May 10, 2026Ningxiao Tao, Baoquan Chen, Mengyu ChuVelocity Field Volumetric Video
School of Intelligence Science and Technology, Peking University, China · Peking University, China · State Key Laboratory of General Artificial Intelligence, Peking University, China
A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots
May 8, 2026Vincent Guan, Lazar Atanackovic, Kirill NeklyudovLagrangian Methods Population Dynamics
University of British Columbia · Mila - Quebec AI Institute · University of Alberta +4
Learned Lagrangian Models of PDEs via Euler-Lagrange Residual Minimization
May 8, 2026Lyra Zhornyak, Eric Forgoston, M. Ani HsiehLagrangian Methods Time Discretization
University of Pennsylvania · Montclair State University
Learned Lyapunov Shielding for Adaptive Control
May 7, 2026Giansalvo Cirrincione, Adriano FagioliniAdaptive Control Lyapunov Function
Laboratoire LTI, Université de Picardie Jules Verne, Amiens, France. · MIRPALab, Department of Engineering, University of Palermo, 90128 Palermo, Italy.
Temporal Attention for Adaptive Control of Euler-Lagrange Systems with Unobservable Memory
May 7, 2026Giansalvo Cirrincione, Adriano FagioliniAdaptive Control Lagrangian Methods
Laboratoire LTI, Université de Picardie Jules Verne, Amiens, France · MIRPALab, Department of Engineering, University of Palermo, 90128 Palermo, Italy
Lie Group Formulation of Recursive Dynamics Algorithms of Higher Order for Floating-Base Robots
May 7, 2026Ahmed Ali, Chiara Gabellieri, Antonio FranchiLie Group Lagrangian Methods
Robotics and Mechatronics Department, Electrical Engineering, Mathematics, and Computer Science (EEMCS) Faculty, University of Twente, 7500 AE Enschede, The Netherlands. · Department of Computer, Control and Management Engineering, Sapienza University of Rome, 00185 Rome, Italy.
Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations
May 7, 2026Jan-Hendrik Ewering, Kathrin Flaßkamp, Niklas Wahlström +2Lagrangian Methods Gaussian Process
Leibniz Universität Hannover · Saarland University · Uppsala University
Sensorless State Estimation and Control for Agile Cable-Suspended Payload Transport by Quadrotors
May 5, 2026Ana Maria Nascimento, Augusto Sales, Antonio Marcus Lima +1Aerial Manipulation Quadrotor
Augmented Lagrangian Multiplier Network for State-wise Safety in Reinforcement Learning
May 1, 2026Jiaming Zhang, Yujie Yang, Yao Lyu +2Lagrangian Methods Stabilization
An ALE-Consistent Graph Neural Operator-Transformer Framework for Fluid-Structure Interaction
May 1, 2026Shihang Zhao, Martín Saravia, Haokui Jiang +2Fluid Dynamics Physics-Informed Learning
Institute for Ocean Engineering, Shenzhen International Graduate School, Tsinghua University, Shenzhen, Guangdong, 518055, China · Centro de Investigación en Mecánica Teórica y Aplicada, Universidad Tecnológica Nacional - CONICET, 11 de Abril 461, Bahía Blanca, Argentina
Recursive Entropic Variational Inference for Nonlinear State-Space Models
Nov 19, 2025Hany Abdulsamad, Ángel F. García-Fernández, Simo SärkkäVariational Inference State Space Models
Amsterdam Machine Learning Lab University of Amsterdam, Netherlands · Information Processing and Telecommunications Center Universidad Politécnica de Madrid, Spain · ELLIS Institute Finland Department of Electrical Engineering and Automation Aalto University, Finland

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

Least-time Gradient Flow

Alessandro Betti, Marco Gori, Stefano Melacci, Jinwei Zhao

Department of Mathematics “Tullio Levi-Civita”, University of Padua, Italy. · Department of Information Engineering and Mathematics, University of Siena, Italy. · University of Florence, Italy.

Wasserstein Gradient Flows Gradient Lagrangian Methods Nonconvex

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Prescribing the speed of gradient flow on the risk itself, by the dynamics

\dot w=-u(E(w))\nabla E(w)/\abs{\nabla E(w)}^{2}

, makes the risk

e(t)=E(w(t))

obey

\dot e=-u(e)

exactly, whatever the landscape~

E

; the time needed to reach zero risk from

e_0

\int_0^{e_0}\dd e/u(e)

. Minimizing this time alone is ill posed, and we study the regularized problem

\inf\{\int_0^{e_0}(\tfrac\lambda2\abs{u'}^{2}+1/u)\,\dd e:\ u\in H^{1}(0,e_0),\ u\ge0,\ u(0)=0\}

λ>0

. We prove that the minimizer exists, is unique, and is a linearly scaled cycloid, and we show that the optimal rate behaves like

u^{*}(e)\sim(9/(2λ))^{1/3}e^{2/3}

near zero risk: the exponent

2/3

is the one found in \cite{betti2026holder} by a power-law ansatz, and it lies in the Hölder window

(\tfrac12,1)

where the arrival is in finite time with vanishing weight speed. The proof follows the classical route: existence by the direct method, uniqueness by strict convexity, positivity of the minimizer away from the origin, and the explicit integration of the Euler-Lagrange equation.

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Latest papers 45