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Machine learning methods can detect complex relationships between variables, but usually do not exploit domain knowledge. This is a limitation because in many scientific disciplines, such as systems biology, domain knowledge is available in…

Artificial Intelligence · Computer Science 2023-07-31 Bastian Pfeifer , Hubert Baniecki , Anna Saranti , Przemyslaw Biecek , Andreas Holzinger

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…

Machine Learning · Statistics 2015-09-11 Lucas Mentch , Giles Hooker

In the domain of sequence modelling, Recurrent Neural Networks (RNN) have been capable of achieving impressive results in a variety of application areas including visual question answering, part-of-speech tagging and machine translation.…

Machine Learning · Computer Science 2018-05-22 Tharindu Fernando , Simon Denman , Aaron McFadyen , Sridha Sridharan , Clinton Fookes

Markov networks are models for compactly representing complex probability distributions. They are composed by a structure and a set of numerical weights. The structure qualitatively describes independences in the distribution, which can be…

Machine Learning · Computer Science 2014-07-31 Alejandro Edera , Yanela Strappa , Facundo Bromberg

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

Recent years have seen an increasing popularity of learning the sparse \emph{changes} in Markov Networks. Changes in the structure of Markov Networks reflect alternations of interactions between random variables under different regimes and…

Machine Learning · Statistics 2017-01-10 Song Liu , Kenji Fukumizu , Taiji Suzuki

Consider $n$ random variables forming a Markov random field (MRF). The true model of the MRF is unknown, and it is assumed to belong to a binary set. The objective is to sequentially sample the random variables (one-at-a-time) such that the…

Methodology · Statistics 2020-08-04 Javad Heydari , Ali Tajer , H. Vincent Poor

Tree ensemble algorithms as RandomForest and GradientBoosting are currently the dominant methods for modeling discrete or tabular data, however, they are unable to perform a hierarchical representation learning from raw data as…

Machine Learning · Computer Science 2024-02-07 Ángel Delgado-Panadero , José Alberto Benítez-Andrades , María Teresa García-Ordás

We consider the structure learning problem for graphical models that we call loosely connected Markov random fields, in which the number of short paths between any pair of nodes is small, and present a new conditional independence test…

Machine Learning · Statistics 2014-02-05 Rui Wu , R. Srikant , Jian Ni

Random forests on the one hand, and neural networks on the other hand, have met great success in the machine learning community for their predictive performance. Combinations of both have been proposed in the literature, notably leading to…

Machine Learning · Computer Science 2021-10-15 Ludovic Arnould , Claire Boyer , Erwan Scornet , Sorbonne Lpsm

While statistical learning methods have proved powerful tools for predictive modeling, the black-box nature of the models they produce can severely limit their interpretability and the ability to conduct formal inference. However, the…

Machine Learning · Statistics 2016-08-30 Lucas Mentch , Giles Hooker

Towards a future where machine learning systems will integrate into every aspect of people's lives, researching methods to interpret such systems is necessary, instead of focusing exclusively on enhancing their performance. Enriching the…

Machine Learning · Computer Science 2021-12-21 Ioannis Mollas , Nick Bassiliades , Ioannis Vlahavas , Grigorios Tsoumakas

We propose an innovative statistical method, called Ordinal Mixed-Effect Random Forest (OMERF), that extends the use of random forest to the analysis of hierarchical data and ordinal responses. The model preserves the flexibility and…

Methodology · Statistics 2024-06-06 Giulia Bergonzoli , Lidia Rossi , Chiara Masci

We derive ensembles of decision trees through a nonparametric Bayesian model, allowing us to view random forests as samples from a posterior distribution. This insight provides large gains in interpretability, and motivates a class of…

Applications · Statistics 2015-05-19 Matt Taddy , Chun-Sheng Chen , Jun Yu , Mitch Wyle

Datasets in the real world are often complex and to some degree hierarchical, with groups and sub-groups of data sharing common characteristics at different levels of abstraction. Understanding and uncovering the hidden structure of these…

Machine Learning · Computer Science 2023-07-10 Aurélien Decelle , Lorenzo Rosset , Beatriz Seoane

Correlations in the signal observed via functional Magnetic Resonance Imaging (fMRI), are expected to reveal the interactions in the underlying neural populations through hemodynamic response. In particular, they highlight distributed set…

Applications · Statistics 2012-02-07 Gaël Varoquaux , Alexandre Gramfort , Jean Baptiste Poline , Bertrand Thirion

Ensemble learning has had many successes in supervised learning, but it has been rare in unsupervised learning and dimensionality reduction. This study explores dimensionality reduction ensembles, using principal component analysis and…

Machine Learning · Statistics 2017-10-13 Colleen M. Farrelly

In this paper, learning of tree-structured Gaussian graphical models from distributed data is addressed. In our model, samples are stored in a set of distributed machines where each machine has access to only a subset of features. A central…

Machine Learning · Computer Science 2018-12-05 Mostafa Tavassolipour , Seyed Abolfazl Motahari , Mohammad-Taghi Manzuri Shalmani

This paper presents a novel ensemble learning approach called Residual Likelihood Forests (RLF). Our weak learners produce conditional likelihoods that are sequentially optimized using global loss in the context of previous learners within…

Machine Learning · Statistics 2020-11-05 Yan Zuo , Tom Drummond

Probabilistic Graphical Models (PGMs) encode conditional dependencies among random variables using a graph -nodes for variables, links for dependencies- and factorize the joint distribution into lower-dimensional components. This makes PGMs…