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Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

人工智能 · 计算机科学 2008-06-26 Marco Zaffalon , Marcus Hutter

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

人工智能 · 计算机科学 2014-08-08 Marco Zaffalon , Marcus Hutter

Walley's Imprecise Dirichlet Model (IDM) for categorical data overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in practice, one needs efficient ways for computing the…

概率论 · 数学 2007-07-16 Marcus Hutter

Walley's Imprecise Dirichlet Model (IDM) for categorical i.i.d. data extends the classical Dirichlet model to a set of priors. It overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in…

统计理论 · 数学 2009-12-30 Marcus Hutter

Due to their accuracies, methods based on ensembles of regression trees are a popular approach for making predictions. Some common examples include Bayesian additive regression trees, boosting and random forests. This paper focuses on…

统计方法学 · 统计学 2019-11-15 Suofei Wu , Jan Hannig , Thomas C. M. Lee

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

概率论 · 数学 2009-12-30 Marcus Hutter

Given i.i.d. data from an unknown distribution, we consider the problem of predicting future items. An adaptive way to estimate the probability density is to recursively subdivide the domain to an appropriate data-dependent granularity. A…

统计理论 · 数学 2007-06-13 Marcus Hutter

Inferring a decision tree from a given dataset is one of the classic problems in machine learning. This problem consists of buildings, from a labelled dataset, a tree such that each node corresponds to a class and a path between the tree…

机器学习 · 计算机科学 2019-04-15 Florent Avellaneda

Precise estimation of uncertainty in predictions for AI systems is a critical factor in ensuring trust and safety. Deep neural networks trained with a conventional method are prone to over-confident predictions. In contrast to Bayesian…

机器学习 · 计算机科学 2021-01-05 Theodoros Tsiligkaridis

A desirable property of interpretable models is small size, so that they are easily understandable by humans. This leads to the following challenges: (a) small sizes typically imply diminished accuracy, and (b) bespoke levers provided by…

机器学习 · 计算机科学 2024-08-26 Abhishek Ghose , Balaraman Ravindran

In social networks, information and influence diffuse among users as cascades. While the importance of studying cascades has been recognized in various applications, it is difficult to observe the complete structure of cascades in practice.…

社会与信息网络 · 计算机科学 2012-10-15 Bo Zong , Yinghui Wu , Ambuj K. Singh , Xifeng Yan

With the widespread success of deep neural networks in science and technology, it is becoming increasingly important to quantify the uncertainty of the predictions produced by deep learning. In this paper, we introduce a new method that…

机器学习 · 计算机科学 2019-08-15 Qingyang Wu , He Li , Lexin Li , Zhou Yu

Mutual information is widely used, in a descriptive way, to measure the stochastic dependence of categorical random variables. In order to address questions such as the reliability of the descriptive value, one must consider…

机器学习 · 计算机科学 2007-07-13 Marcus Hutter , Marco Zaffalon

The spread of infectious disease in a human community or the proliferation of fake news on social media can be modeled as a randomly growing tree-shaped graph. The history of the random growth process is often unobserved but contains…

概率论 · 数学 2021-01-15 Harry Crane , Min Xu

Learning high-dimensional distributions is a significant challenge in machine learning and statistics. Classical research has mostly concentrated on asymptotic analysis of such data under suitable assumptions. While existing works…

机器学习 · 计算机科学 2024-11-19 Sutanu Gayen , Sanket Kale , Sayantan Sen

The perspective of developing trustworthy AI for critical applications in science and engineering requires machine learning techniques that are capable of estimating their own uncertainty. In the context of regression, instead of estimating…

机器学习 · 计算机科学 2026-05-14 Quentin Duchemin , Guillaume Obozinski

Dynamic trees are mixtures of tree structured belief networks. They solve some of the problems of fixed tree networks at the cost of making exact inference intractable. For this reason approximate methods such as sampling or mean field…

机器学习 · 计算机科学 2013-01-18 Amos J. Storkey

Random forests are popular methods for regression and classification analysis, and many different variants have been proposed in recent years. One interesting example is the Mondrian random forest, in which the underlying constituent trees…

统计理论 · 数学 2025-11-10 Matias D. Cattaneo , Jason M. Klusowski , William G. Underwood

The concept of trustworthy AI has gained widespread attention lately. One of the aspects relevant to trustworthy AI is robustness of ML models. In this study, we show how to probabilistically quantify robustness against naturally occurring…

机器学习 · 计算机科学 2022-11-30 Christoph Schweimer , Sebastian Scher

This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

机器学习 · 统计学 2015-09-11 Lucas Mentch , Giles Hooker
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