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Time series forecasting is a challenging task with applications in a wide range of domains. Auto-regression is one of the most common approaches to address these problems. Accordingly, observations are modelled by multiple regression using…

Machine Learning · Statistics 2020-10-15 Vitor Cerqueira , Nuno Moniz , Carlos Soares

Multiple Additive Regression Trees (MART), an ensemble model of boosted regression trees, is known to deliver high prediction accuracy for diverse tasks, and it is widely used in practice. However, it suffers an issue which we call…

Machine Learning · Computer Science 2015-05-11 K. V. Rashmi , Ran Gilad-Bachrach

Tree-based regression and classification has become a standard tool in modern data science. Bayesian Additive Regression Trees (BART) has in particular gained wide popularity due its flexibility in dealing with interactions and non-linear…

Computation · Statistics 2022-09-13 Alan Inglis , Andrew Parnell , Catherine Hurley

Rust uses traits to define units of shared behavior. Trait constraints build up an implicit set of first-order hereditary Harrop clauses which is executed by a powerful logic programming engine in the trait system. But that power comes at a…

Programming Languages · Computer Science 2023-09-12 Gavin Gray , Will Crichton

Bayesian Additive Regression Trees (BART) is a fully Bayesian approach to modeling with ensembles of trees. BART can uncover complex regression functions with high dimensional regressors in a fairly automatic way and provide Bayesian…

Machine Learning · Statistics 2018-07-11 Edward George , Prakash Laud , Brent Logan , Robert McCulloch , Rodney Sparapani

Vector autoregressive (VAR) models assume linearity between the endogenous variables and their lags. This assumption might be overly restrictive and could have a deleterious impact on forecasting accuracy. As a solution, we propose…

Econometrics · Economics 2021-03-10 Florian Huber , Luca Rossini

Fix pattern-based patch generation is a promising direction in Automated Program Repair (APR). Notably, it has been demonstrated to produce more acceptable and correct patches than the patches obtained with mutation operators through…

Software Engineering · Computer Science 2019-02-18 Kui Liu , Anil Koyuncu , Dongsun Kim , Tegawendé F. Bisyandé

This paper provides a comprehensive review of mechanical equipment fault diagnosis methods, focusing on the advancements brought by Transformer-based models. It details the structure, working principles, and benefits of Transformers,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Guiran Liu , Binrong Zhu

This paper tackles the problem of constructing a non-parametric predictor when the latent variables are given with incomplete information. The convenient predictor for this task is the random forest algorithm in conjunction to the so-called…

Statistics Theory · Mathematics 2023-09-01 Irving Gómez-Méndez , Emilien Joly

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

Methodology · Statistics 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

Data mining and machine learning techniques such as classification and regression trees (CART) represent a promising alternative to conventional logistic regression for propensity score estimation. Whereas incomplete data preclude the…

Machine Learning · Statistics 2018-07-26 Bas B. L. Penning de Vries , Maarten van Smeden , Rolf H. H. Groenwold

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

Optimization and Control · Mathematics 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

Regression analysis is a standard supervised machine learning method used to model an outcome variable in terms of a set of predictor variables. In most real-world applications we do not know the true value of the outcome variable being…

Machine Learning · Statistics 2019-10-10 Henri Tiittanen , Emilia Oikarinen , Andreas Henelius , Kai Puolamäki

When changes are performed on an automated production system (aPS), new faults can be accidentally introduced in the system, which are called regressions. A common method for finding these faults is regression testing. In most cases, this…

Software Engineering · Computer Science 2022-12-13 Sebastian Ulewicz , Birgit Vogel-Heuser

Bayesian Additive Regression Trees (BART) are a powerful ensemble learning technique for modeling nonlinear regression functions. Although initially BART was proposed for predicting only continuous and binary response variables, over the…

Statistics Theory · Mathematics 2026-03-24 Enakshi Saha

Vector autoregressive (VAR) models are widely used in multivariate time series analysis for describing the short-time dynamics of the data. The reduced-rank VAR models are of particular interest when dealing with high-dimensional and highly…

Statistics Theory · Mathematics 2023-05-02 Farida Enikeeva , Olga Klopp , Mathilde Rousselot

Incorporating nonlinearity is paramount to predicting the future states of a dynamical system, its response to shocks, and its underlying causal network. However, most existing methods for causality detection and impulse response, such as…

Machine Learning · Statistics 2019-10-08 Kurt Izak Cabanilla , Kevin Thomas Go

Vector Auto-Regressive (VAR) models capture lead-lag temporal dynamics of multivariate time series data. They have been widely used in macroeconomics, financial econometrics, neuroscience and functional genomics. In many applications, the…

Methodology · Statistics 2021-10-15 Peiliang Bai , Yue Bai , Abolfazl Safikhani , George Michailidis

Random testing (RT) is a black-box software testing technique that tests programs by generating random test inputs. It is a widely used technique for software quality assurance, but there has been much debate by practitioners concerning its…

Software Engineering · Computer Science 2019-10-01 Jinfu Chen , Hilary Ackah-Arthur , Chengying Mao , Patrick Kwaku Kudjo

We present a new package in R implementing Bayesian additive regression trees (BART). The package introduces many new features for data analysis using BART such as variable selection, interaction detection, model diagnostic plots,…

Machine Learning · Statistics 2014-11-25 Adam Kapelner , Justin Bleich
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