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This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. These approximate solutions may arise from early termination of…

Numerical Analysis · Computer Science 2019-02-18 Brian A. Freno , Kevin T. Carlberg

Predictive models that generalize well under distributional shift are often desirable and sometimes crucial to building robust and reliable machine learning applications. We focus on distributional shift that arises in causal inference from…

Machine Learning · Statistics 2018-02-27 Fredrik D. Johansson , Nathan Kallus , Uri Shalit , David Sontag

Revealing latent structure in data is an active field of research, having introduced exciting technologies such as variational autoencoders and adversarial networks, and is essential to push machine learning towards unsupervised knowledge…

Machine Learning · Computer Science 2019-10-25 Daniel C. Castro , Jeremy Tan , Bernhard Kainz , Ender Konukoglu , Ben Glocker

Conformal prediction is a powerful distribution-free tool for uncertainty quantification, establishing valid prediction intervals with finite-sample guarantees. To produce valid intervals which are also adaptive to the difficulty of each…

Machine Learning · Computer Science 2023-02-24 Nabeel Seedat , Alan Jeffares , Fergus Imrie , Mihaela van der Schaar

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

Finding neural network weights that generalize well from small datasets is difficult. A promising approach is to learn a weight initialization such that a small number of weight changes results in low generalization error. We show that this…

Simulation-based methods for statistical inference have evolved dramatically over the past 50 years, keeping pace with technological advancements. The field is undergoing a new revolution as it embraces the representational capacity of…

Machine Learning · Statistics 2024-10-11 Andrew Zammit-Mangion , Matthew Sainsbury-Dale , Raphaël Huser

Meta-learning, or "learning to learn", refers to techniques that infer an inductive bias from data corresponding to multiple related tasks with the goal of improving the sample efficiency for new, previously unobserved, tasks. A key…

Machine Learning · Computer Science 2021-02-24 Sharu Theresa Jose , Osvaldo Simeone

Deep Learning shows very good performance when trained on large labeled data sets. The problem of training a deep net on a few or one sample per class requires a different learning approach which can generalize to unseen classes using only…

Machine Learning · Computer Science 2018-08-23 Jinchao Liu , Stuart J. Gibson , Margarita Osadchy

For many applications, an ensemble of base classifiers is an effective solution. The tuning of its parameters(number of classes, amount of data on which each classifier is to be trained on, etc.) requires G, the generalization error of a…

Meta-reinforcement learning trains a single reinforcement learning agent on a distribution of tasks to quickly generalize to new tasks outside of the training set at test time. From a Bayesian perspective, one can interpret this as…

Machine Learning · Computer Science 2025-11-20 Joery A. de Vries , Jinke He , Mathijs M. de Weerdt , Matthijs T. J. Spaan

Meta-forecasting is a newly emerging field which combines meta-learning and time series forecasting. The goal of meta-forecasting is to train over a collection of source time series and generalize to new time series one-at-a-time. Previous…

Machine Learning · Computer Science 2023-02-07 Mike Van Ness , Huibin Shen , Hao Wang , Xiaoyong Jin , Danielle C. Maddix , Karthick Gopalswamy

Multi-view stacking is a framework for combining information from different views (i.e. different feature sets) describing the same set of objects. In this framework, a base-learner algorithm is trained on each view separately, and their…

Machine Learning · Statistics 2024-04-16 Wouter van Loon , Marjolein Fokkema , Botond Szabo , Mark de Rooij

Dataset bias is a critical challenge in machine learning since it often leads to a negative impact on a model due to the unintended decision rules captured by spurious correlations. Although existing works often handle this issue based on…

Machine Learning · Computer Science 2022-04-05 Seonguk Seo , Joon-Young Lee , Bohyung Han

Risk prediction models are widely used to guide real-world decision-making in areas such as healthcare and economics, and they also play a key role in estimating nuisance parameters in semiparametric inference. The super learner is a…

Methodology · Statistics 2025-09-05 Anders Munch , Thomas A. Gerds

We revisit resampling procedures for error estimation in binary classification in terms of U-statistics. In particular, we exploit the fact that the error rate estimator involving all learning-testing splits is a U-statistic. Thus, it has…

Statistics Theory · Mathematics 2013-12-19 Mathias Fuchs , Roman Hornung , Riccardo De Bin , Anne-Laure Boulesteix

In this paper, we present a statistical-mechanical analysis of deep learning. We elucidate some of the essential components of deep learning---pre-training by unsupervised learning and fine tuning by supervised learning. We formulate the…

Machine Learning · Statistics 2015-06-23 Masayuki Ohzeki

A key problem in the theory of meta-learning is to understand how the task distributions influence transfer risk, the expected error of a meta-learner on a new task drawn from the unknown task distribution. In this paper, focusing on fixed…

Machine Learning · Statistics 2021-06-15 Mikhail Konobeev , Ilja Kuzborskij , Csaba Szepesvári

Performative prediction is a framework for learning models that influence the data they intend to predict. We focus on finding classifiers that are performatively stable, i.e. optimal for the data distribution they induce. Standard…

Machine Learning · Computer Science 2025-02-07 Mehrnaz Mofakhami , Ioannis Mitliagkas , Gauthier Gidel

The problem of statistical learning is to construct a predictor of a random variable $Y$ as a function of a related random variable $X$ on the basis of an i.i.d. training sample from the joint distribution of $(X,Y)$. Allowable predictors…

Information Theory · Computer Science 2016-11-15 Maxim Raginsky
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