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Tag: robustness

  • Algebraic Robustness Verification of Neural Networks

    Algebraic Robustness Verification of Neural Networks arXiv:2602.06105v1 Announce Type: new Abstract: We formulate formal robustness verification of neural networks as an algebraic optimization problem. We leverage the Euclidean Distance (ED) degree, which is the generic number of complex critical points of the distance minimization problem to a classifier’s decision boundary, as an architecture-dependent measure of…

  • Byzantine Machine Learning: MultiKrum and an optimal notion of robustness

    Byzantine Machine Learning: MultiKrum and an optimal notion of robustness arXiv:2602.03899v1 Announce Type: new Abstract: Aggregation rules are the cornerstone of distributed (or federated) learning in the presence of adversaries, under the so-called Byzantine threat model. They are also interesting mathematical objects from the point of view of robust mean estimation. The Krum aggregation rule…

  • On damage of interpolation to adversarial robustness in regression

    On damage of interpolation to adversarial robustness in regression arXiv:2601.16070v1 Announce Type: new Abstract: Deep neural networks (DNNs) typically involve a large number of parameters and are trained to achieve zero or near-zero training error. Despite such interpolation, they often exhibit strong generalization performance on unseen data, a phenomenon that has motivated extensive theoretical investigations.…

  • When Robustness Meets Conservativeness: Conformalized Uncertainty Calibration for Balanced Decision Making

    When Robustness Meets Conservativeness: Conformalized Uncertainty Calibration for Balanced Decision Making arXiv:2510.07750v1 Announce Type: new Abstract: Robust optimization safeguards decisions against uncertainty by optimizing against worst-case scenarios, yet their effectiveness hinges on a prespecified robustness level that is often chosen ad hoc, leading to either insufficient protection or overly conservative and costly solutions. Recent approaches…

  • Achievable distributional robustness when the robust risk is only partially identified

    Achievable distributional robustness when the robust risk is only partially identified arXiv:2502.02710v1 Announce Type: new Abstract: In safety-critical applications, machine learning models should generalize well under worst-case distribution shifts, that is, have a small robust risk. Invariance-based algorithms can provably take advantage of structural assumptions on the shifts when the training distributions are heterogeneous enough…

  • Testing and Improving the Robustness of Amortized Bayesian Inference for Cognitive Models

    Testing and Improving the Robustness of Amortized Bayesian Inference for Cognitive Models arXiv:2412.20586v1 Announce Type: new Abstract: Contaminant observations and outliers often cause problems when estimating the parameters of cognitive models, which are statistical models representing cognitive processes. In this study, we test and improve the robustness of parameter estimation using amortized Bayesian inference (ABI)…

  • The Broader Landscape of Robustness in Algorithmic Statistics

    The Broader Landscape of Robustness in Algorithmic Statistics arXiv:2412.02670v1 Announce Type: new Abstract: The last decade has seen a number of advances in computationally efficient algorithms for statistical methods subject to robustness constraints. An estimator may be robust in a number of different ways: to contamination of the dataset, to heavy-tailed data, or in the…