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Related papers: Maximum Risk Minimization with Random Forests

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The key of the out-of-distribution (OOD) generalization is to generalize invariance from training domains to target domains. The variance risk extrapolation (V-REx) is a practical OOD method, which depends on a domain-level regularization…

Machine Learning · Computer Science 2021-04-12 Chuanlong Xie , Haotian Ye , Fei Chen , Yue Liu , Rui Sun , Zhenguo Li

The ability to generalize under distributional shifts is essential to reliable machine learning, while models optimized with empirical risk minimization usually fail on non-$i.i.d$ testing data. Recently, invariant learning methods for…

Machine Learning · Computer Science 2021-10-26 Jiashuo Liu , Zheyuan Hu , Peng Cui , Bo Li , Zheyan Shen

Recently, there has been a growing surge of interest in enabling machine learning systems to generalize well to Out-of-Distribution (OOD) data. Most efforts are devoted to advancing optimization objectives that regularize models to capture…

Machine Learning · Computer Science 2023-03-03 Yongqiang Chen , Kaiwen Zhou , Yatao Bian , Binghui Xie , Bingzhe Wu , Yonggang Zhang , Kaili Ma , Han Yang , Peilin Zhao , Bo Han , James Cheng

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…

Statistics Theory · Mathematics 2025-11-10 Matias D. Cattaneo , Jason M. Klusowski , William G. Underwood

Maximum Probability Framework, powered by Maximum Probability Theorem, is a recent theoretical development in artificial intelligence, aiming to formally define probabilistic models, guiding development of objective functions, and…

Machine Learning · Computer Science 2022-09-08 Amir Emad Marvasti , Ehsan Emad Marvasti , Ulas Bagci

Empirical risk minimization can lead to poor generalization behavior on unseen environments if the learned model does not capture invariant feature representations. Invariant risk minimization (IRM) is a recent proposal for discovering…

Machine Learning · Computer Science 2023-10-24 Francesco Alesiani , Shujian Yu , Mathias Niepert

We propose an algorithm named best-scored random forest for binary classification problems. The terminology "best-scored" means to select the one with the best empirical performance out of a certain number of purely random tree candidates…

Machine Learning · Statistics 2019-05-28 Hanyuan Hang , Xiaoyu Liu , Ingo Steinwart

This guide provides a reference for high-probability regret bounds in empirical risk minimization (ERM). The presentation is modular: we begin with intuition and general proof strategies, then state broadly applicable guarantees under…

Machine Learning · Statistics 2026-03-04 Lars van der Laan

In this paper, we address learning problems for high dimensional data. Previously, oblivious random projection based approaches that project high dimensional features onto a random subspace have been used in practice for tackling…

Machine Learning · Computer Science 2016-12-07 Yi Xu , Haiqin Yang , Lijun Zhang , Tianbao Yang

Random Forests have been extensively used in regression and classification, inspiring the development of various forest-based methods. Among these, Mondrian Forests, derived from the Mondrian process, mark a significant advancement.…

Statistics Theory · Mathematics 2025-02-28 Haoran Zhan , Jingli Wang , Yingcun Xia

Deep neural networks have found widespread adoption in solving complex tasks ranging from image recognition to natural language processing. However, these networks make confident mispredictions when presented with data that does not belong…

Machine Learning · Computer Science 2020-12-16 Deepak Ravikumar , Sangamesh Kodge , Isha Garg , Kaushik Roy

A fundamental assumption of most machine learning algorithms is that the training and test data are drawn from the same underlying distribution. However, this assumption is violated in almost all practical applications: machine learning…

Machine Learning · Computer Science 2021-12-02 Marvin Zhang , Henrik Marklund , Nikita Dhawan , Abhishek Gupta , Sergey Levine , Chelsea Finn

In this paper, we consider the contextual robust optimization problem under an out-of-distribution setting. The contextual robust optimization problem considers a risk-sensitive objective function for an optimization problem with the…

Optimization and Control · Mathematics 2025-06-06 Zhongze Cai , Hansheng Jiang , Xiaocheng Li

Many biochemical applications such as molecular property prediction require models to generalize beyond their training domains (environments). Moreover, natural environments in these tasks are structured, defined by complex descriptors such…

Machine Learning · Computer Science 2020-10-08 Wengong Jin , Regina Barzilay , Tommi Jaakkola

Empirical Risk Minimization (ERM) algorithms are widely used in a variety of estimation and prediction tasks in signal-processing and machine learning applications. Despite their popularity, a theory that explains their statistical…

Machine Learning · Statistics 2020-07-07 Hossein Taheri , Ramtin Pedarsani , Christos Thrampoulidis

Covariate shifts are a common problem in predictive modeling on real-world problems. This paper proposes addressing the covariate shift problem by minimizing Maximum Mean Discrepancy (MMD) statistics between the training and test sets in…

Machine Learning · Computer Science 2022-03-03 Liwen Ouyang , Aaron Key

Detecting out-of-distribution (OOD) samples is vital for developing machine learning based models for critical safety systems. Common approaches for OOD detection assume access to some OOD samples during training which may not be available…

Machine Learning · Computer Science 2021-10-19 Koby Bibas , Meir Feder , Tal Hassner

We present a new loss function that addresses the out-of-distribution (OOD) calibration problem. While many objective functions have been proposed to effectively calibrate models in-distribution, our findings show that they do not always…

Machine Learning · Computer Science 2024-03-12 Dexter Neo , Stefan Winkler , Tsuhan Chen

Introduced by Breiman, Random Forests are widely used classification and regression algorithms. While being initially designed as batch algorithms, several variants have been proposed to handle online learning. One particular instance of…

Machine Learning · Statistics 2019-04-10 Jaouad Mourtada , Stéphane Gaïffas , Erwan Scornet

Out-of-distribution (OOD) generalisation is challenging because it involves not only learning from empirical data, but also deciding among various notions of generalisation, e.g., optimising the average-case risk, worst-case risk, or…

Machine Learning · Computer Science 2024-05-31 Anurag Singh , Siu Lun Chau , Shahine Bouabid , Krikamol Muandet