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The decision-making process of many state-of-the-art machine learning models is inherently inscrutable to the extent that it is impossible for a human to interpret the model directly: they are black box models. This has led to a call for…

Information Retrieval · Computer Science 2019-07-09 Ilse van der Linden , Hinda Haned , Evangelos Kanoulas

Local explanation methods highlight the input tokens that have a considerable impact on the outcome of classifying the document at hand. For example, the Anchor algorithm applies a statistical analysis of the sensitivity of the classifier…

Machine Learning · Computer Science 2024-01-15 Alon Mor , Yonatan Belinkov , Benny Kimelfeld

We study the problem of model selection type aggregation with respect to the Kullback-Leibler divergence for various probabilistic models. Rather than considering a convex combination of the initial estimators $f_1, \ldots, f_N$, our…

Statistics Theory · Mathematics 2016-01-22 Cristina Butucea , Jean-François Delmas , Anne Dutfoy , Richard Fischer

This paper presents a new method for spatially adaptive local (constant) likelihood estimation which applies to a broad class of nonparametric models, including the Gaussian, Poisson and binary response models. The main idea of the method…

Statistics Theory · Mathematics 2007-12-18 Denis Belomestny , Vladimir Spokoiny

With dramatic improvements in optimization software, the solution of large-scale problems that seemed intractable decades ago are now a routine task. This puts even more real-world applications into the reach of optimizers. At the same…

Optimization and Control · Mathematics 2023-03-07 Marc Goerigk , Michael Hartisch

Ensembles improve prediction performance and allow uncertainty quantification by aggregating predictions from multiple models. In deep ensembling, the individual models are usually black box neural networks, or recently, partially…

Machine Learning · Statistics 2022-05-26 Lucas Kook , Andrea Götschi , Philipp FM Baumann , Torsten Hothorn , Beate Sick

Distribution-free uncertainty estimation for ensemble methods is increasingly desirable due to the widening deployment of multi-modal black-box predictive models. Conformal prediction is one approach that avoids such distributional…

Methodology · Statistics 2025-05-26 Eduardo Ochoa Rivera , Yash Patel , Ambuj Tewari

As machine learning becomes an important part of many real world applications affecting human lives, new requirements, besides high predictive accuracy, become important. One important requirement is transparency, which has been associated…

Machine Learning · Computer Science 2019-08-01 Tiago Botari , Rafael Izbicki , Andre C. P. L. F. de Carvalho

Processing sets or other unordered, potentially variable-sized inputs in neural networks is usually handled by aggregating a number of input tensors into a single representation. While a number of aggregation methods already exist from…

Machine Learning · Computer Science 2022-07-05 Sergey Bartunov , Fabian B. Fuchs , Timothy Lillicrap

We consider the forecast aggregation problem in repeated settings, where the forecasts are done on a binary event. At each period multiple experts provide forecasts about an event. The goal of the aggregator is to aggregate those forecasts…

Machine Learning · Computer Science 2018-02-21 Yakov Babichenko , Dan Garber

For optimization models to be used in practice, it is crucial that users trust the results. A key factor in this aspect is the interpretability of the solution process. A previous framework for inherently interpretable optimization models…

Optimization and Control · Mathematics 2026-02-13 Marc Goerigk , Michael Hartisch , Sebastian Merten , Kartikey Sharma

This paper studies statistical aggregation procedures in regression setting. A motivating factor is the existence of many different methods of estimation, leading to possibly competing estimators. We consider here three different types of…

Statistics Theory · Mathematics 2007-06-13 Florentina Bunea , Alexandre Tsybakov , Marten Wegkamp

Despite a growing literature on explaining neural networks, no consensus has been reached on how to explain a neural network decision or how to evaluate an explanation. Our contributions in this paper are twofold. First, we investigate…

Machine Learning · Computer Science 2020-03-23 Laura Rieger , Lars Kai Hansen

Forecast aggregation combines the predictions of multiple forecasters to improve accuracy. However, the lack of knowledge about forecasters' information structure hinders optimal aggregation. Given a family of information structures, robust…

Machine Learning · Computer Science 2024-02-01 Yongkang Guo , Jason D. Hartline , Zhihuan Huang , Yuqing Kong , Anant Shah , Fang-Yi Yu

Mixture-of-experts (MoE) models provide a flexible statistical framework for modeling heterogeneity and nonlinear relationships. In many modern applications, however, datasets are naturally distributed across multiple machines due to…

Machine Learning · Computer Science 2026-03-12 Faïcel Chamroukhi , Nhat Thien Pham

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

Methodology · Statistics 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon

With the growth of data and necessity for distributed optimization methods, solvers that work well on a single machine must be re-designed to leverage distributed computation. Recent work in this area has been limited by focusing heavily on…

Machine Learning · Computer Science 2016-08-04 Chenxin Ma , Jakub Konečný , Martin Jaggi , Virginia Smith , Michael I. Jordan , Peter Richtárik , Martin Takáč

Many problems in computer vision have recently been tackled using models whose predictions cannot be easily interpreted, most commonly deep neural networks. Surrogate explainers are a popular post-hoc interpretability method to further…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Ricardo Kleinlein , Alexander Hepburn , Raúl Santos-Rodríguez , Fernando Fernández-Martínez

We study the problem of robust forecast aggregation: combining expert forecasts with provable accuracy guarantees compared to the best possible aggregation of the underlying information. Prior work shows strong impossibility results, e.g.…

Computer Science and Game Theory · Computer Science 2025-12-08 Rafael Frongillo , Mary Monroe , Eric Neyman , Bo Waggoner

Conformal prediction equips machine learning models with a reasonable notion of uncertainty quantification without making strong distributional assumptions. It wraps around any prediction model and converts point predictions into set…

Machine Learning · Statistics 2025-10-21 Matteo Gasparin , Aaditya Ramdas
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