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We present a new variable selection method based on model-based gradient boosting and randomly permuted variables. Model-based boosting is a tool to fit a statistical model while performing variable selection at the same time. A drawback of…

Machine Learning · Statistics 2017-02-16 Janek Thomas , Tobias Hepp , Andreas Mayr , Bernd Bischl

We present a boosting-based method to learn additive Structural Equation Models (SEMs) from observational data, with a focus on the theoretical aspects of determining the causal order among variables. We introduce a family of score…

Machine Learning · Statistics 2024-01-15 Maximilian Kertel , Nadja Klein

We propose PathBoost, a gradient tree boosting method for graph-level classification and regression that learns discriminative path-based features directly from the input graph structure. Building on a previous work, which was tailored to a…

Machine Learning · Computer Science 2026-05-12 Claudio Meggio , Johan Pensar , Riccardo De Bin

We propose a new class of models specifically tailored for spatio-temporal data analysis. To this end, we generalize the spatial autoregressive model with autoregressive and heteroskedastic disturbances, i.e. SARAR(1,1), by exploiting the…

Methodology · Statistics 2023-01-12 Leopoldo Catania , Anna Gloria Billé

We propose a novel class of flexible latent-state time series regression models which we call Markov-switching generalized additive models for location, scale and shape. In contrast to conventional Markov-switching regression models, the…

Methodology · Statistics 2018-05-18 Timo Adam , Andreas Mayr , Thomas Kneib

A new attention-based model for the gradient boosting machine (GBM) called AGBoost (the attention-based gradient boosting) is proposed for solving regression problems. The main idea behind the proposed AGBoost model is to assign attention…

Machine Learning · Computer Science 2022-07-13 Andrei Konstantinov , Lev Utkin , Stanislav Kirpichenko

We discuss scalar-on-function regression models where all parameters of the assumed response distribution can be modeled depending on covariates. We thus combine signal regression models with generalized additive models for location, scale…

Computation · Statistics 2016-05-16 Sarah Brockhaus , Andreas Fuest , Andreas Mayr , Sonja Greven

In this survey, we discuss several different types of gradient boosting algorithms and illustrate their mathematical frameworks in detail: 1. introduction of gradient boosting leads to 2. objective function optimization, 3. loss function…

Machine Learning · Statistics 2019-08-20 Zhiyuan He , Danchen Lin , Thomas Lau , Mike Wu

Spatial autoregressive model, introduced by Clif and Ord in 1970s has been widely applied in many areas of science and econometrics such as regional economics, public finance, political sciences, agricultural economics, environmental…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews

Modern statistical inference tasks often require iterative optimization methods to compute the solution. Convergence analysis from an optimization viewpoint only informs us how well the solution is approximated numerically but overlooks the…

Machine Learning · Statistics 2020-07-27 Tengyuan Liang , Weijie Su

It is known that Boosting can be interpreted as a gradient descent technique to minimize an underlying loss function. Specifically, the underlying loss being minimized by the traditional AdaBoost is the exponential loss, which is proved to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-26 Kaidong Wang , Yao Wang , Qian Zhao , Deyu Meng , Zongben Xu

This paper focuses on the contextual optimization problem where a decision is subject to some uncertain parameters and covariates that have some predictive power on those parameters are available before the decision is made. More…

Optimization and Control · Mathematics 2024-08-12 Zhaoen Li , Maoqi Liu , Zhi-Hai Zhang

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

Machine Learning · Computer Science 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy

Survival analysis is a statistical framework for modeling time-to-event data. It plays a pivotal role in medicine, reliability engineering, and social science research, where understanding event dynamics even with few data samples is…

Machine Learning · Computer Science 2026-02-03 Alberto Archetti , Eugenio Lomurno , Diego Piccinotti , Matteo Matteucci

Tuning of model-based boosting algorithms relies mainly on the number of iterations, while the step-length is fixed at a predefined value. For complex models with several predictors such as Generalized Additive Models for Location, Scale…

Methodology · Statistics 2021-02-19 Boyao Zhang , Tobias Hepp , Sonja Greven , Elisabeth Bergherr

Generative modeling of high-dimensional data is a key problem in machine learning. Successful approaches include latent variable models and autoregressive models. The complementary strengths of these approaches, to model global and local…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Thomas Lucas , Jakob Verbeek

Autoregressive models are ubiquitous tools for the analysis of time series in many domains such as computational neuroscience and biomedical engineering. In these domains, data is, for example, collected from measurements of brain activity.…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Jonas F. Haderlein , Andre D. H. Peterson , Anthony N. Burkitt , Iven M. Y. Mareels , David B. Grayden

We develop a model-based boosting approach for multivariate distributional regression within the framework of generalized additive models for location, scale, and shape. Our approach enables the simultaneous modeling of all distribution…

Methodology · Statistics 2022-07-19 Annika Strömer , Nadja Klein , Christian Staerk , Hannah Klinkhammer , Andreas Mayr

This paper introduces Mixed Effect Gradient Boosting (MEGB), which combines the strengths of Gradient Boosting with Mixed Effects models to address complex, hierarchical data structures often encountered in statistical analysis. The…

Methodology · Statistics 2025-01-22 Paul Messer , Timo Schmid

When dealing with right-censored data, where some outcomes are missing due to a limited observation period, survival analysis -- known as time-to-event analysis -- focuses on predicting the time until an event of interest occurs. Multiple…

Machine Learning · Statistics 2024-10-23 Julie Alberge , Vincent Maladière , Olivier Grisel , Judith Abécassis , Gaël Varoquaux