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Bubeck and Sellke (2021) pose as an open problem the connection between the law of robustness and robust generalization. The law of robustness states that overparameterization is necessary for models to interpolate robustly; in particular,…

机器学习 · 计算机科学 2026-02-26 Himadri Mandal , Vishnu Varadarajan , Jaee Ponde , Aritra Das , Mihir More , Debayan Gupta

A multiscale optimization framework for problems over a space of Lipschitz continuous functions is developed. The method solves a coarse-grid discretization followed by linear interpolation to warm-start project gradient descent on…

数值分析 · 数学 2026-03-05 Nicholas J. E. Richardson , Noah Marusenko , Michael P. Friedlander

Continual Learning (CL) focuses on maximizing the predictive performance of a model across a non-stationary stream of data. Unfortunately, CL models tend to forget previous knowledge, thus often underperforming when compared with an offline…

机器学习 · 计算机科学 2024-04-15 Lanpei Li , Elia Piccoli , Andrea Cossu , Davide Bacciu , Vincenzo Lomonaco

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for…

系统与控制 · 计算机科学 2012-06-05 Corentin Briat

We consider the problem of linear classification under general loss functions in the limited-data setting. Overfitting is a common problem here. The standard approaches to prevent overfitting are dimensionality reduction and regularization.…

机器学习 · 计算机科学 2021-11-22 Deepayan Chakrabarti

The study of provable adversarial robustness has mostly been limited to classification tasks and models with one-dimensional real-valued outputs. We extend the scope of certifiable robustness to problems with more general and structured…

机器学习 · 计算机科学 2022-01-13 Aounon Kumar , Tom Goldstein

Continuous unsupervised representation learning (CURL) research has greatly benefited from improvements in self-supervised learning (SSL) techniques. As a result, existing CURL methods using SSL can learn high-quality representations…

机器学习 · 计算机科学 2023-09-13 Alex Gomez-Villa , Bartlomiej Twardowski , Kai Wang , Joost van de Weijer

When estimating the risk of a financial position with empirical data or Monte Carlo simulations via a tail-dependent law invariant risk measure such as the Conditional Value-at-Risk (CVaR), it is important to ensure the robustness of the…

风险管理 · 定量金融 2020-06-30 Wei Wang , Huifu Xu , Tiejun Ma

The growing penetration of renewable and distributed generation is transforming power systems and challenging conventional protection schemes that rely on fixed settings and local measurements. Machine learning (ML) offers a data-driven…

Robust risk minimisation has several advantages: it has been studied with regards to improving the generalisation properties of models and robustness to adversarial perturbation. We bound the distributionally robust risk for a model class…

机器学习 · 统计学 2018-09-06 Zac Cranko , Simon Kornblith , Zhan Shi , Richard Nock

In binary classification and regression problems, it is well understood that Lipschitz continuity and smoothness of the loss function play key roles in governing generalization error bounds for empirical risk minimization algorithms. In…

机器学习 · 计算机科学 2016-09-14 Ambuj Tewari , Sougata Chaudhuri

Large language models (LLMs) have demonstrated impressive performance on a number of natural language processing tasks, such as question answering and text summarization. However, their performance on sequence labeling tasks such as intent…

计算与语言 · 计算机科学 2024-02-27 Yao Qiang , Subhrangshu Nandi , Ninareh Mehrabi , Greg Ver Steeg , Anoop Kumar , Anna Rumshisky , Aram Galstyan

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

机器学习 · 统计学 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

Calibration, the alignment between model confidence and prediction accuracy, is critical for the reliable deployment of large language models (LLMs). Existing works neglect to measure the generalization of their methods to other prompt…

计算与语言 · 计算机科学 2025-01-08 Yuxi Xia , Pedro Henrique Luz de Araujo , Klim Zaporojets , Benjamin Roth

Designing and analyzing model-based RL (MBRL) algorithms with guaranteed monotonic improvement has been challenging, mainly due to the interdependence between policy optimization and model learning. Existing discrepancy bounds generally…

机器学习 · 计算机科学 2023-11-09 Tianying Ji , Yu Luo , Fuchun Sun , Mingxuan Jing , Fengxiang He , Wenbing Huang

The threat of adversarial examples has motivated work on training certifiably robust neural networks to facilitate efficient verification of local robustness at inference time. We formalize a notion of global robustness, which captures the…

机器学习 · 计算机科学 2021-06-15 Klas Leino , Zifan Wang , Matt Fredrikson

We study online control of an unknown nonlinear dynamical system that is approximated by a time-invariant linear system with model misspecification. Our study focuses on robustness, a measure of how much deviation from the assumed linear…

最优化与控制 · 数学 2022-04-06 Xinyi Chen , Udaya Ghai , Elad Hazan , Alexandre Megretski

Automated short-answer grading (ASAG) remains a challenging task due to the linguistic variability of student responses and the need for nuanced, rubric-aligned partial credit. While Large Language Models (LLMs) offer a promising solution,…

计算与语言 · 计算机科学 2026-01-15 Haotian Deng , Chris Farber , Jiyoon Lee , David Tang

Rehearsal approaches enjoy immense popularity with Continual Learning (CL) practitioners. These methods collect samples from previously encountered data distributions in a small memory buffer; subsequently, they repeatedly optimize on the…

机器学习 · 计算机科学 2022-10-18 Lorenzo Bonicelli , Matteo Boschini , Angelo Porrello , Concetto Spampinato , Simone Calderara

Adversarial examples pose a security threat to many critical systems built on neural networks (such as face recognition systems, and self-driving cars). While many methods have been proposed to build robust models, how to build certifiably…

机器学习 · 计算机科学 2023-09-06 Ruihan Zhang , Peixin Zhang , Jun Sun