Lipschitz Neural Networks

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  1. Lipschitz Thinking: Ten Years of Certifiable-by-Design Robust Neural Networks

    Oct 5, 2026Fabio Brau, Giorgio Piras, Maura Pintor +1Neural Network RobustnessCertified Robustness

    Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy

  2. A Closed-Form Formula for Consistent Lipschitz Regression on Metric Spaces with Sparse Neural Network Realizations

    Sep 2, 2026Ruiyang Hong, Hrad Ghoukasian, Anastasis KratsiosNeural Network Approximation TheoryStatistical Learning Theory

  3. LipCache: A Local Inference Proxy with Certified Caching for Edge Image Classification Service

    Aug 13, 2026Zhengzhe Xiang, Yinlin Chen, Fuli Ying +3Efficient Neural Network InferenceEdge Inference

  4. Trainable Nonexpansive Denoisers for Contractive Image Reconstruction

    Jul 25, 2026Arghya Sinha, Aditya Banerjee, Trishit Mukherjee +1Image ReconstructionLipschitz Neural Networks

    Indian Institute of Science, Bengaluru, India.

  5. 1-Lipschitz Neural Networks on Hadamard Manifolds

    Jul 21, 2026Davide Murari, Marta Ghirardelli, Ben Adcock +3Neural Network RobustnessAdversarial Robustness

    Department of Applied Mathematics and Theoretical Physics, University of Cambridge · Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU) · Department of Mathematics, Simon Fraser University

  6. A law of robustness for two-layer neural networks with arbitrary weights

    Jul 8, 2026Yitzchak ShmaloNeural Network GeneralizationMultilayer Perceptrons

  7. LiST: Lipschitz Scaling Training for Robust and Calibrated Neural Networks

    Jul 8, 2026Arthur Chiron, Franck Mamalet, Thomas Massena +2Neural Network RobustnessAdversarial Robustness

    IRIT, EPE UT · IRIT · IRIT, DTIPG - SNCF, UT3 +6

  8. LipSSD: Lipschitz-Constrained Single-Shot Detection for Adversarially Robust Object Detection

    Jul 6, 2026Vincent Lébé, Yannick Prudent, Corentin Friedrich +3Adversarial RobustnessObject Detection

    IRIT, DTIPG - SNCF, UT3 · IRT Saint-Exup´ery · Alstom +2

  9. Convex training of Lipschitz-regularized shallow neural networks

    Jun 17, 2026Chao Yin, Antoine Lesage-LandryAdversarial TrainingShallow Neural Networks

    Polytechnique Montr´eal, GERAD & Mila, Montr´eal, QC, Canada, H3T 1J4.

  10. Architecture-agnostic Lipschitz-constant Bayesian header and its application to resolve semantically proximal classification errors with vision transformers

    May 7, 2026Frederik Schäfer, Luis Mandl, Lars Kälber +1Bayesian Neural NetworksVision Transformer

    Institute of Structural Mechanics and Dynamics in Aerospace Engineering, University of Stuttgart · Rockwell Collins Deutschland GmbH · Department of Hepatobiliary Surgery and Visceral Transplantation, University of Leipzig Medical Center

  11. Certified vs. Empirical Adversarial Robust-ness via Hybrid Convolutions with Attention Stochasticity

    May 2, 2026Joy Dhar, Song Xia, Manish Kumar Pandey +5Randomized SmoothingNeural Network Robustness

    1Indian Institute of Technology Ropar · 2Nanyang Technological University · 3RoentGen Health +5

  12. Layer-wise Lipschitz-Product Control for Deep Kolmogorov--Arnold Network Representations of Compositionally Structured Functions

    Apr 29, 2026Aleksander TankmanKolmogorov-Arnold NetworksNeural Network Approximation Theory

    Fivestar Europe OÜ, Tallinn, Estonia

  13. Near-optimal estimates for the ℓp\ell^p-Lipschitz constants of deep random ReLU neural networks

    Jun 24, 2025Sjoerd Dirksen, Patrick Finke, Paul Geuchen +2ReLU Neural NetworksLipschitz Neural Networks

  14. R2DN: Scalable Parameterization of Contracting and Lipschitz Recurrent Deep Networks

    Apr 1, 2025Nicholas H. Barbara, Ruigang Wang, Ian R. ManchesterNeural Network RobustnessRecurrent Neural Networks

    Australian Centre for Robotics (ACFR) and the School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Australia