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The k-nearest-neighbour procedure is a well-known deterministic method used in supervised classification. This paper proposes a reassessment of this approach as a statistical technique derived from a proper probabilistic model; in…

Computation · Statistics 2008-02-12 Lionel Cucala , Jean-Michel Marin , Christian Robert , Mike Titterington

Intuitively, one would expect accuracy of a trained neural network's prediction on test samples to correlate with how densely the samples are surrounded by seen training samples in representation space. We find that a bound on empirical…

Machine Learning · Computer Science 2022-07-29 Xu Ji , Razvan Pascanu , Devon Hjelm , Balaji Lakshminarayanan , Andrea Vedaldi

An important challenge in statistical analysis concerns the control of the finite sample bias of estimators. For example, the maximum likelihood estimator has a bias that can result in a significant inferential loss. This problem is…

Statistics Theory · Mathematics 2019-11-04 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

Bias research in NLP seeks to analyse models for social biases, thus helping NLP practitioners uncover, measure, and mitigate social harms. We analyse the body of work that uses prompts and templates to assess bias in language models. We…

Computation and Language · Computer Science 2023-05-23 Seraphina Goldfarb-Tarrant , Eddie Ungless , Esma Balkir , Su Lin Blodgett

Achieving robust uncertainty quantification for deep neural networks represents an important requirement in many real-world applications of deep learning such as medical imaging where it is necessary to assess the reliability of a neural…

Machine Learning · Computer Science 2024-03-15 Tim Rensmeyer , Oliver Niggemann

We consider the problem of approximating a function in a general nonlinear subset of $L^2$, when only a weighted Monte Carlo estimate of the $L^2$-norm can be computed. Of particular interest in this setting is the concept of sample…

Numerical Analysis · Mathematics 2023-01-24 Philipp Trunschke

For measuring the strength of visually-observed subpopulation differences, the Population Difference Criterion is proposed to assess the statistical significance of visually observed subpopulation differences. It addresses the following…

Methodology · Statistics 2023-09-21 Xi Yang , Jan Hannig , Katherine A. Hoadley , Iain Carmichael , J. S. Marron

Calibrated probability outputs of trained classifiers are increasingly used as inputs to downstream regression estimands such as effects, prevalences, or disparities for a latent group observed only on a small labelled subset. A standard…

Methodology · Statistics 2026-05-14 Marcell T. Kurbucz

As search depth increases in autonomous reasoning and embodied planning, candidate action spaces expand exponentially, often exhausting computational budgets. While heuristic pruning is a critical countermeasure, existing approaches lack…

Machine Learning · Computer Science 2026-05-12 Tianhao Qian

Simplicity bias is the concerning tendency of deep networks to over-depend on simple, weakly predictive features, to the exclusion of stronger, more complex features. This is exacerbated in real-world applications by limited training data…

Machine Learning · Computer Science 2023-06-07 Rishabh Tiwari , Pradeep Shenoy

When a subgroup is identified from the data, it must be evaluated in a replicable way. The usual in-sample approach, which evaluates the post-hoc identified subgroup as predefined, might suffer from selection bias. This issue of in-sample…

Methodology · Statistics 2026-05-06 Shuoxun Xu , Xinzhou Guo

Estimating rare events in complex systems is a key challenge in reliability analysis. The challenge grows in multimodal problems, where traditional methods often rely on a small set of design points and risk overlooking critical failure…

Computation · Statistics 2025-08-04 Sara Helal , Victor Elvira

In this short note we observe that the sample complexity of PAC machine learning of various concepts, including learning the maximum (EMX), can be exactly determined when the support of the probability measures considered as models…

Machine Learning · Computer Science 2020-02-27 Alberto Gandolfi

Dataset replication is a useful tool for assessing whether improvements in test accuracy on a specific benchmark correspond to improvements in models' ability to generalize reliably. In this work, we present unintuitive yet significant ways…

Threshold tests have recently been proposed as a useful method for detecting bias in lending, hiring, and policing decisions. For example, in the case of credit extensions, these tests aim to estimate the bar for granting loans to white and…

Machine Learning · Statistics 2018-03-13 Emma Pierson , Sam Corbett-Davies , Sharad Goel

In this paper, we study the accuracy of values aggregated over classes predicted by a classification algorithm. The problem is that the resulting aggregates (e.g., sums of a variable) are known to be biased. The bias can be large even for…

Machine Learning · Statistics 2019-12-02 Q. A. Meertens , C. G. H. Diks , H. J. van den Herik , F W Takes

We study the problem of learning general (i.e., not necessarily homogeneous) halfspaces with Random Classification Noise under the Gaussian distribution. We establish nearly-matching algorithmic and Statistical Query (SQ) lower bound…

Machine Learning · Computer Science 2023-07-18 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Puqian Wang , Nikos Zarifis

Many data-fitting applications require the solution of an optimization problem involving a sum of large number of functions of high dimensional parameter. Here, we consider the problem of minimizing a sum of $n$ functions over a convex…

Optimization and Control · Mathematics 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney

Modern imaging techniques heavily rely on Bayesian statistical models to address difficult image reconstruction and restoration tasks. This paper addresses the objective evaluation of such models in settings where ground truth is…

Image and Video Processing · Electrical Eng. & Systems 2026-05-29 Tom Sprunck , Marcelo Pereyra , Tobias Liaudat

In the statistical inference for long range dependent time series the shape of the limit distribution typically depends on unknown parameters. Therefore, we propose to use subsampling. We show the validity of subsampling for general…

Statistics Theory · Mathematics 2016-10-20 Annika Betken , Martin Wendler
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