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The aim in model order reduction is to approximate an input-output map described by a large-scale dynamical system with a low-dimensional and cheaper-to-evaluate reduced order model. While high fidelity can be achieved by a variety of…

Dynamical Systems · Mathematics 2023-01-04 Björn Liljegren-Sailer

Neural networks are among the most accurate supervised learning methods in use today, but their opacity makes them difficult to trust in critical applications, especially when conditions in training differ from those in test. Recent work on…

Machine Learning · Computer Science 2017-11-15 Andrew Slavin Ross , Michael C. Hughes , Finale Doshi-Velez

In the era of Model-as-a-Service, organizations increasingly rely on third-party AI models for rapid deployment. However, the dynamic nature of emerging AI applications, the continual introduction of new datasets, and the growing number of…

Machine Learning · Computer Science 2026-02-10 Zihan Zhu , Yanqiu Wu , Qiongkai Xu

Conformal Prediction methods have finite-sample distribution-free marginal coverage guarantees. However, they generally do not offer conditional coverage guarantees, which can be important for high-stakes decisions. In this paper, we…

Machine Learning · Statistics 2024-09-27 Ruijiang Gao , Mingzhang Yin , James McInerney , Nathan Kallus

We develop a rigorous mathematical analysis of zero-shot learning with attributes. In this setting, the goal is to label novel classes with no training data, only detectors for attributes and a description of how those attributes are…

Machine Learning · Computer Science 2022-11-29 Alessio Mazzetto , Cristina Menghini , Andrew Yuan , Eli Upfal , Stephen H. Bach

This paper deals with the problem of finding suboptimal values of an unknown function on the basis of measured data corrupted by bounded noise. As a prior, we assume that the unknown function is parameterized in terms of a number of basis…

Optimization and Control · Mathematics 2025-06-10 Jaap Eising , Jorge Cortes

We consider how mathematical models enable predictions for conditions that are qualitatively different from the training data. We propose techniques based on information topology to find models that can apply their learning in regimes for…

Quantitative Methods · Quantitative Biology 2022-05-27 Cody Petrie , Christian Anderson , Casie Maekawa , Travis Maekawa , Mark K. Transtrum

Programmatic Weak Supervision (PWS) enables supervised model training without direct access to ground truth labels, utilizing weak labels from heuristics, crowdsourcing, or pre-trained models. However, the absence of ground truth…

Machine Learning · Statistics 2024-11-01 Felipe Maia Polo , Subha Maity , Mikhail Yurochkin , Moulinath Banerjee , Yuekai Sun

Subsampling algorithms for various parametric regression models with massive data have been extensively investigated in recent years. However, all existing studies on subsampling heavily rely on clean massive data. In practical…

Statistics Theory · Mathematics 2025-06-11 Jiangshan Ju , Mingqiu Wang , Shengli Zhao

When data contains measurement errors, it is necessary to make assumptions relating the observed, erroneous data to the unobserved true phenomena of interest. These assumptions should be justifiable on substantive grounds, but are often…

Machine Learning · Statistics 2020-12-24 Noam Finkelstein , Roy Adams , Suchi Saria , Ilya Shpitser

Machine learning models are essential tools in various domains, but their performance can degrade over time due to changes in data distribution or other factors. On one hand, detecting and addressing such degradations is crucial for…

Machine Learning · Computer Science 2023-09-28 Florian Heinrichs

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

Methodology · Statistics 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

Artificial Intelligence · Computer Science 2013-03-25 Kathryn Blackmond Laskey

Absolute value linear programming problems is quite a new area of optimization problems, involving linear functions and absolute values in the description of the model. In this paper, we consider interval uncertainty of the input…

Optimization and Control · Mathematics 2025-10-07 Milan Hladík

We study the problem of high-dimensional linear regression in a robust model where an $\epsilon$-fraction of the samples can be adversarially corrupted. We focus on the fundamental setting where the covariates of the uncorrupted samples are…

Machine Learning · Computer Science 2018-06-04 Ilias Diakonikolas , Weihao Kong , Alistair Stewart

Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt…

Software Engineering · Computer Science 2019-11-22 Jingyi Wang , Jun Sun , Qixia Yuan , Jun Pang

The bias-variance trade-off is a central concept in supervised learning. In classical statistics, increasing the complexity of a model (e.g., number of parameters) reduces bias but also increases variance. Until recently, it was commonly…

Machine Learning · Statistics 2022-03-25 Jason W. Rocks , Pankaj Mehta

Many computer vision algorithms depend on a variety of parameter choices and settings that are typically hand-tuned in the course of evaluating the algorithm. While such parameter tuning is often presented as being incidental to the…

Computer Vision and Pattern Recognition · Computer Science 2012-09-25 J. Bergstra , D. Yamins , D. D. Cox

Model-Based Diagnosis deals with the identification of the real cause of a system's malfunction based on a formal system model and observations of the system behavior. When a malfunction is detected, there is usually not enough information…

Artificial Intelligence · Computer Science 2017-11-16 Patrick Rodler , Wolfgang Schmid , Konstantin Schekotihin

It is typical for a machine learning system to have numerous hyperparameters that affect its learning rate and prediction quality. Finding a good combination of the hyperparameters is, however, a challenging job. This is mainly because…

Machine Learning · Computer Science 2019-08-08 Dobromir Marinov , Daniel Karapetyan
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