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This paper provides an introduction to Double/Debiased Machine Learning (DML). DML is a general approach to performing inference about a target parameter in the presence of nuisance functions: objects that are needed to identify the target…

Principled Bayesian deep learning (BDL) does not live up to its potential when we only focus on marginal predictive distributions (marginal predictives). Recent works have highlighted the importance of joint predictives for (Bayesian)…

Machine Learning · Computer Science 2022-05-19 Andreas Kirsch , Jannik Kossen , Yarin Gal

The perceived advantage of machine learning (ML) models is that they are flexible and can incorporate a large number of features. However, many of these are typically correlated or dependent, and incorporating all of them can hinder model…

Applications · Statistics 2025-03-11 Anwesha Bhattacharyya , Yaqun Wang , Joel Vaughan , Vijayan N. Nair

There remains an open question about the usefulness and the interpretation of Machine learning (MLE) approaches for discrimination of spatial patterns of brain images between samples or activation states. In the last few decades, these…

Machine Learning · Statistics 2022-09-22 JM Gorriz , R. Martin-Clemente , C. G. Puntonet , A. Ortiz , J. Ramirez , J. Suckling

We present a brief history of the field of interpretable machine learning (IML), give an overview of state-of-the-art interpretation methods, and discuss challenges. Research in IML has boomed in recent years. As young as the field is, it…

Machine Learning · Statistics 2022-01-24 Christoph Molnar , Giuseppe Casalicchio , Bernd Bischl

The ability to recognize patterns from examples and apply them to new ones is a primal ability for general intelligence, and is widely studied by psychology and AI researchers. Many benchmarks have been proposed to measure such ability for…

Artificial Intelligence · Computer Science 2025-10-24 Kai Yan , Zhan Ling , Kang Liu , Yifan Yang , Ting-Han Fan , Lingfeng Shen , Zhengyin Du , Jiecao Chen

The normalized maximum likelihood (NML) is a recent penalized likelihood that has properties that justify defining the amount of discrimination information (DI) in the data supporting an alternative hypothesis over a null hypothesis as the…

Statistics Theory · Mathematics 2012-05-02 David R. Bickel

The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in competition. In Bayesian inference, first and foremost, MCMC…

Computation · Statistics 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

Large language models (LLMs) have shown remarkable improvements in reasoning and many existing benchmarks have been addressed by models such as o1 and o3 either fully or partially. However, a majority of these benchmarks emphasize deductive…

Machine Learning · Computer Science 2025-05-15 Wenyue Hua , Tyler Wong , Sun Fei , Liangming Pan , Adam Jardine , William Yang Wang

We introduce a method to determine if a certain capability helps to achieve an accurate model of given data. We view labels as being generated from the inputs by a program composed of subroutines with different capabilities, and we posit…

Machine Learning · Computer Science 2021-03-08 Ethan Perez , Douwe Kiela , Kyunghyun Cho

This document provides a tutorial description of the use of the MDL principle in complex graph analysis. We give a brief summary of the preliminary subjects, and describe the basic principle, using the example of analysing the size of the…

Machine Learning · Statistics 2018-11-01 Peter Bloem , Steven de Rooij

Automated decision making is used routinely throughout our everyday life. Recommender systems decide which jobs, movies, or other user profiles might be interesting to us. Spell checkers help us to make good use of language. Fraud detection…

Machine Learning · Computer Science 2020-07-15 Alexander Jung , Pedro H. J. Nardelli

Large Language Models (LLMs) are increasingly used to generate textual explanations of process models discovered from event logs. Producing explanations from large behavioral abstractions (e.g., directly-follows graphs or Petri nets) can be…

Machine Learning · Computer Science 2025-10-14 P. van Oerle , R. H. Bemthuis , F. A. Bukhsh

Label distribution learning (LDL) is an effective method to predict the label description degree (a.k.a. label distribution) of a sample. However, annotating label distribution (LD) for training samples is extremely costly. So recent…

Machine Learning · Computer Science 2024-05-14 Yuheng Jia , Jiawei Tang , Jiahao Jiang

A leading hypothesis for the surprising generalization of neural networks is that the dynamics of gradient descent bias the model towards simple solutions, by searching through the solution space in an incremental order of complexity. We…

Machine Learning · Computer Science 2020-01-01 Daniel Gissin , Shai Shalev-Shwartz , Amit Daniely

We introduce the first application of the lean methodology to machine learning projects. Similar to lean startups and lean manufacturing, we argue that lean machine learning (LeanML) can drastically slash avoidable wastes in commercial…

Machine Learning · Computer Science 2021-08-13 Yves-Laurent Kom Samo

Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

Methodology · Statistics 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

A famous characterization theorem due to C.F. Gauss states that the maximum likelihood estimator (MLE) of the parameter in a location family is the sample mean for all samples of all sample sizes if and only if the family is Gaussian. There…

Statistics Theory · Mathematics 2014-03-13 Mitia Duerinckx , Christophe Ley , Yvik Swan

The influence of machine learning (ML) is quickly spreading, and a number of recent technological innovations have applied ML as a central technology. However, ML development still requires a substantial amount of human expertise to be…

Machine Learning · Computer Science 2021-05-04 Simon Enni , Ira Assent

Deep Neural Networks (DNNs) deployed to the real world are regularly subject to out-of-distribution (OoD) data, various types of noise, and shifting conceptual objectives. This paper proposes a framework for adapting to data distribution…

Machine Learning · Computer Science 2023-08-24 Christopher Angelini , Nidhal Bouaynaya , Ghulam Rasool
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