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Deep learning systems achieve remarkable empirical performance, yet the stability of the training process itself remains poorly understood. Training unfolds as a high-dimensional dynamical system in which small perturbations to…

Machine Learning · Computer Science 2026-01-21 Zhipeng Zhang , Zhenjie Yao , Kai Li , Lei Yang

Current techniques in machine learning are so far are unable to learn classifiers that are robust to adversarial perturbations. However, they are able to learn non-robust classifiers with very high accuracy, even in the presence of random…

Machine Learning · Computer Science 2019-01-04 Preetum Nakkiran

Learning algorithms need bias to generalize and perform better than random guessing. We examine the flexibility (expressivity) of biased algorithms. An expressive algorithm can adapt to changing training data, altering its outcome based on…

Machine Learning · Statistics 2019-11-13 Julius Lauw , Dominique Macias , Akshay Trikha , Julia Vendemiatti , George D. Montanez

Algorithms increasingly operate within complex physical, social, and engineering systems where they are exposed to disturbances, noise, and interconnections with other dynamical systems. This article extends known convergence guarantees of…

Machine Learning · Computer Science 2025-12-22 Guner Dilsad Er , Sebastian Trimpe , Michael Muehlebach

Strategyproof mechanisms provide robust equilibrium with minimal assumptions about knowledge and rationality but can be unachievable in combination with other desirable properties such as budget-balance, stability against deviations by…

Computer Science and Game Theory · Computer Science 2012-05-14 Benjamin Lubin , David C. Parkes

In this paper, we study the "stability" of machine learning (ML) models within the context of larger, complex NLP systems with continuous training data updates. For this study, we propose a methodology for the assessment of model stability…

Computation and Language · Computer Science 2022-01-19 Huiting Liu , Avinesh P. V. S. , Siddharth Patwardhan , Peter Grasch , Sachin Agarwal

This work proposes a way to align statistical modeling with decision making. We provide a method that propagates the uncertainty in predictive modeling to the uncertainty in operational cost, where operational cost is the amount spent by…

Machine Learning · Statistics 2015-03-19 Theja Tulabandhula , Cynthia Rudin

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

In this paper we consider the problem of finding stable maxima of expensive (to evaluate) functions. We are motivated by the optimisation of physical and industrial processes where, for some input ranges, small and unavoidable variations in…

Machine Learning · Statistics 2019-02-22 Alistair Shilton , Sunil Gupta , Santu Rana , Svetha Venkatesh , Majid Abdolshah , Dang Nguyen

This paper discusses a general and useful stability principle which, roughly speaking, says that given a uniformly continuous function defined on an arbitrary metric space, if the function is bounded on the constraint set and we slightly…

Optimization and Control · Mathematics 2020-09-04 Daniel Reem , Simeon Reich , Alvaro De Pierro

Triplet learning, i.e. learning from triplet data, has attracted much attention in computer vision tasks with an extremely large number of categories, e.g., face recognition and person re-identification. Albeit with rapid progress in…

Machine Learning · Statistics 2023-02-21 Jun Chen , Hong Chen , Xue Jiang , Bin Gu , Weifu Li , Tieliang Gong , Feng Zheng

Interpretable classification models are built with the purpose of providing a comprehensible description of the decision logic to an external oversight agent. When considered in isolation, a decision tree, a set of classification rules, or…

Machine Learning · Computer Science 2019-03-18 Riccardo Guidotti , Salvatore Ruggieri

Stable matching is a fundamental problem studied both in economics and computer science. The task is to find a matching between two sides of agents that have preferences over who they want to be matched with. A matching is stable if no pair…

Computer Science and Game Theory · Computer Science 2024-03-11 Juho Hirvonen , Sara Ranjbaran

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

Replicability, introduced by (Impagliazzo et al. STOC '22), is the notion that algorithms should remain stable under a resampling of their inputs (given access to shared randomness). While a strong and interesting notion of stability, the…

Machine Learning · Computer Science 2026-04-09 Max Hopkins , Russell Impagliazzo , Christopher Ye

Two genres of heuristics that are frequently reported to perform much better on "real-world" instances than in the worst case are greedy algorithms and local search algorithms. In this paper, we systematically study these two types of…

Data Structures and Algorithms · Computer Science 2017-07-03 Vaggos Chatziafratis , Tim Roughgarden , Jan Vondrak

Model selection on validation data is an essential step in machine learning. While the mixing of data between training and validation is considered taboo, practitioners often violate it to increase performance. Here, we offer a simple,…

Machine Learning · Statistics 2018-02-19 Guy Tennenholtz , Tom Zahavy , Shie Mannor

In health related machine learning applications, the training data often corresponds to a non-representative sample from the target populations where the learners will be deployed. In anticausal prediction tasks, selection biases often make…

Machine Learning · Statistics 2020-11-10 Elias Chaibub Neto , Phil Snyder , Solveig K Sieberts , Larsson Omberg

We study the problem of resilient strategies in the presence of uncertainty. Resilient strategies enable an agent to make decisions that are robust against disturbances. In particular, we are interested in those disturbances that are able…

Computer Science and Game Theory · Computer Science 2026-03-02 Kush Grover , Markel Zubia , Debraj Chakraborty , Muqsit Azeem , Nils Jansen , Jan Kretinsky

This paper proposes a novel method for determining the number of factors in linear factor models under stability considerations. An instability measure is proposed based on the principal angle between the estimated loading spaces obtained…

Methodology · Statistics 2024-09-13 Sze Ming Lee , Yunxiao Chen