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Machine-learning technologies for learning dynamical systems from data play an important role in engineering design. This research focuses on learning continuous linear models from data. Stability, a key feature of dynamic systems, is…

Machine Learning · Computer Science 2023-01-25 Pawan Goyal , Igor Pontes Duff , Peter Benner

Classification is an important statistical learning tool. In real application, besides high prediction accuracy, it is often desirable to estimate class conditional probabilities for new observations. For traditional problems where the…

Statistics Theory · Mathematics 2025-03-18 Guo Xian Yau , Chong Zhang

We propose an algorithm for incremental learning of classifiers. The proposed method enables an ensemble of classifiers to learn incrementally by accommodating new training data. We use an effective mechanism to overcome the…

Machine Learning · Computer Science 2019-02-11 Shivang Agarwal , C. Ravindranath Chowdary , Shripriya Maheshwari

The rollout of new versions of a feature in modern applications is a manual multi-stage process, as the feature is released to ever larger groups of users, while its performance is carefully monitored. This kind of A/B testing is…

Machine Learning · Computer Science 2018-05-29 Andrés Muñoz Medina , Sergei Vassilvitskii , Dong Yin

Many safety-critical scientific and engineering systems evolve according to differential-algebraic equations (DAEs), where dynamical behavior is constrained by physical laws and admissibility conditions. In practice, these systems operate…

Machine Learning · Computer Science 2026-04-14 Minxing Zheng , Zewei Deng , Liyan Xie , Shixiang Zhu

We study the stability of posterior predictive inferences to the specification of the likelihood model and perturbations of the data generating process. In modern big data analyses, useful broad structural judgements may be elicited from…

Methodology · Statistics 2024-04-30 Jack Jewson , Jim Q. Smith , Chris Holmes

Recently, many regularized procedures have been proposed for variable selection in linear regression, but their performance depends on the tuning parameter selection. Here a criterion for the tuning parameter selection is proposed, which…

Methodology · Statistics 2013-01-31 Yixin Fang , Junhui Wang , Wei Sun

In policy gradient reinforcement learning, access to a differentiable model enables 1st-order gradient estimation that accelerates learning compared to relying solely on derivative-free 0th-order estimators. However, discontinuous dynamics…

Machine Learning · Computer Science 2026-04-21 Ku Onoda , Paavo Parmas , Manato Yaguchi , Yutaka Matsuo

Deep neural networks have shown remarkable performance when trained on independent and identically distributed data from a fixed set of classes. However, in real-world scenarios, it can be desirable to train models on a continuous stream of…

Machine Learning · Computer Science 2023-09-04 Nicolas Michel , Giovanni Chierchia , Romain Negrel , Jean-François Bercher , Toshihiko Yamasaki

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

This paper deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting…

Optimization and Control · Mathematics 2023-03-08 Fabien Lauer

Dynamic classifier selection systems aim to select a group of classifiers that is most adequate for a specific query pattern. This is done by defining a region around the query pattern and analyzing the competence of the classifiers in this…

Machine Learning · Computer Science 2018-11-05 Rafael M. O. Cruz , George D. C. Cavalcanti , Tsang Ing Ren

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

Feature selection is indispensable in microbiome data analysis, but it can be particularly challenging as microbiome data sets are high-dimensional, underdetermined, sparse and compositional. Great efforts have recently been made on…

A probability model exhibits instability if small changes in a data outcome result in large, and often unanticipated, changes in probability. This instability is a property of the probability model, given by a distributional form and a…

Statistics Theory · Mathematics 2019-11-18 Andee Kaplan , Daniel Nordman , Stephen Vardeman

Based on existing ideas in the field of imprecise probabilities, we present a new approach for assessing the reliability of the individual predictions of a generative probabilistic classifier. We call this approach robustness…

Machine Learning · Computer Science 2025-04-11 Adrián Detavernier , Jasper De Bock

In this paper, we introduce a new class of decision rules, referred to as Constant Depth Decision Rules (CDDRs), for multistage optimization under linear constraints with uncertainty-affected right-hand sides. We consider two uncertainty…

Optimization and Control · Mathematics 2021-02-23 Vincent Guigues , Anatoli Juditsky , Arkadi Nemirovski

Ensuring safety through set invariance has proven to be a valuable method in various robotics and control applications. This paper introduces a comprehensive framework for the safe probabilistic invariance verification of both discrete- and…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Taoran Wu , Yiqing Yu , Bican Xia , Ji Wang , Bai Xue

We investigate the problem of designing optimal classifiers in the strategic classification setting, where the classification is part of a game in which players can modify their features to attain a favorable classification outcome (while…

Machine Learning · Computer Science 2020-05-19 Mark Braverman , Sumegha Garg

There are a number of hypotheses underlying the existence of adversarial examples for classification problems. These include the high-dimensionality of the data, high codimension in the ambient space of the data manifolds of interest, and…

Machine Learning · Computer Science 2024-04-15 Brian Bell , Michael Geyer , David Glickenstein , Keaton Hamm , Carlos Scheidegger , Amanda Fernandez , Juston Moore