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This paper proposes an online tree-based Bayesian approach for reinforcement learning. For inference, we employ a generalised context tree model. This defines a distribution on multivariate Gaussian piecewise-linear models, which can be…

Machine Learning · Statistics 2014-05-05 Nikolaos Tziortziotis , Christos Dimitrakakis , Konstantinos Blekas

We present a new procedure for enhanced variable selection for component-wise gradient boosting. Statistical boosting is a computational approach that emerged from machine learning, which allows to fit regression models in the presence of…

Gradient boosting performs exceptionally in most prediction problems and scales well to large datasets. In this paper we prove that a ``lassoed'' gradient boosted tree algorithm with early stopping achieves faster than $n^{-1/4}$ L2…

Machine Learning · Statistics 2023-12-12 Alejandro Schuler , Yi Li , Mark van der Laan

In recent years, gradient boosted decision trees have become popular in building robust machine learning models on big data. The primary technique that has enabled these algorithms success has been distributing the computation while…

Machine Learning · Computer Science 2021-08-20 Vignesh Nanda Kumar , Narayanan U Edakunni

Tree-based priors for probability distributions are usually specified using a predetermined, data-independent collection of candidate recursive partitions of the sample space. To characterize an unknown target density in detail over the…

Methodology · Statistics 2025-04-14 Li Ma , Benedetta Bruni

As a modern ensemble technique, Deep Forest (DF) employs a cascading structure to construct deep models, providing stronger representational power compared to traditional decision forests. However, its greedy multi-layer learning procedure…

Machine Learning · Computer Science 2023-09-19 Hongyu Zhu , Sichu Liang , Wentao Hu , Fang-Qi Li , Yali yuan , Shi-Lin Wang , Guang Cheng

This paper addresses a data detection problem for multiple-input multiple-output (MIMO) communication systems with hardware impairments. To facilitate maximum likelihood (ML) data detection without knowledge of nonlinear and unknown…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Yujin Kang , Seunghyun Jeon , Junyong Shin , Yo-Seb Jeon , H. Vincent Poor

Boosted trees is a dominant ML model, exhibiting high accuracy. However, boosted trees are hardly intelligible, and this is a problem whenever they are used in safety-critical applications. Indeed, in such a context, rigorous explanations…

Artificial Intelligence · Computer Science 2022-09-19 Gilles Audemard , Jean-Marie Lagniez , Pierre Marquis , Nicolas Szczepanski

Prediction suffix trees (PST) provide an effective tool for sequence modelling and prediction. Current prediction techniques for PSTs rely on exact matching between the suffix of the current sequence and the previously observed sequence. We…

Machine Learning · Computer Science 2018-08-08 Dongwoo Kim , Christian Walder

We propose a novel algorithm for optimizing multivariate linear threshold functions as split functions of decision trees to create improved Random Forest classifiers. Standard tree induction methods resort to sampling and exhaustive search…

Machine Learning · Computer Science 2015-06-26 Mohammad Norouzi , Maxwell D. Collins , David J. Fleet , Pushmeet Kohli

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…

Machine Learning · Computer Science 2026-05-14 Quentin Duchemin , Guillaume Obozinski

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

Applications · Statistics 2018-11-06 Cheng Zhang , Frederick A. Matsen

In Change point detection task Likelihood Ratio Test (LRT) is sequentially applied in a sliding window procedure. Its high values indicate changes of parametric distribution in the data sequence. Correspondingly LRT values require…

Statistics Theory · Mathematics 2017-10-23 Nazar Buzun , Valeriy Avanesov

We propose a robust variant of boosting forest to the various adversarial defense methods, and apply it to enhance the robustness of the deep neural network. We retain the deep network architecture, weights, and middle layer features, then…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Jianqiao Wangni

This paper extends recent work on boosting random forests to model non-Gaussian responses. Given an exponential family $\mathbb{E}[Y|X] = g^{-1}(f(X))$ our goal is to obtain an estimate for $f$. We start with an MLE-type estimate in the…

Methodology · Statistics 2021-03-04 Indrayudh Ghosal , Giles Hooker

Reinforcement learning can learn amortised design policies for designing sequences of experiments. However, current amortised methods rely on estimators of expected information gain (EIG) that require an exponential number of samples on the…

Machine Learning · Computer Science 2024-02-06 Tom Blau , Iadine Chades , Amir Dezfouli , Daniel Steinberg , Edwin V. Bonilla

This paper presents enhancements to the projection pursuit tree classifier and visual diagnostic methods for assessing their impact in high dimensions. The original algorithm uses linear combinations of variables in a tree structure where…

Machine Learning · Statistics 2026-03-16 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

For latent class models where the class weights depend on individual covariates, we derive a simple expression for computing the score vector and a convenient hybrid between the observed and the expected information matrices which is always…

Computation · Statistics 2015-11-13 Antonio Forcina

Research in reinforcement learning has produced algorithms for optimal decision making under uncertainty that fall within two main types. The first employs a Bayesian framework, where optimality improves with increased computational time.…

Machine Learning · Statistics 2011-09-22 Christos Dimitrakakis

We consider the problem of learning underlying tree structure from noisy, mixed data obtained from a linear model. To achieve this, we use the expectation maximization algorithm combined with Chow-Liu minimum spanning tree algorithm. This…

Information Theory · Computer Science 2017-10-06 Navid Tafaghodi Khajavi