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We seek to provide an interpretable framework for segmenting users in a population for personalized decision-making. We propose a general methodology, Market Segmentation Trees (MSTs), for learning market segmentations explicitly driven by…

Applications · Statistics 2023-01-16 Ali Aouad , Adam N. Elmachtoub , Kris J. Ferreira , Ryan McNellis

Visual localization algorithms have achieved significant improvements in performance thanks to recent advances in camera technology and vision-based techniques. However, there remains one critical caveat: all current approaches that are…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Huu Le , Tuan Hoang , Michael Milford

Models for categorical sequences typically assume exchangeable or first-order dependent sequence elements. These are common assumptions, for example, in models of computer malware traces and protein sequences. Although such simplifying…

Computation · Statistics 2026-03-17 Daniyar Ghani , Nicholas A. Heard , Francesco Sanna Passino

We investigate the optimal structure of dynamic regression models used in multivariate time series prediction and propose a scheme to form the lagged variable structure called Backward-in-Time Selection (BTS) that takes into account…

Applications · Statistics 2013-01-14 Ioannis Vlachos , Dimitris Kugiumtzis

In many longitudinal studies, the covariate and response are often intermittently observed at irregular, mismatched and subject-specific times. How to deal with such data when covariate and response are observed asynchronously is an often…

Methodology · Statistics 2021-08-27 Hao Ran , Yang Bai

Spatial count data models are used to explain and predict the frequency of phenomena such as traffic accidents in geographically distinct entities such as census tracts or road segments. These models are typically estimated using Bayesian…

Methodology · Statistics 2020-10-19 Prateek Bansal , Rico Krueger , Daniel J. Graham

This paper describes the Context Tree Switching technique, a modification of Context Tree Weighting for the prediction of binary, stationary, n-Markov sources. By modifying Context Tree Weighting's recursive weighting scheme, it is possible…

Information Theory · Computer Science 2011-11-15 Joel Veness , Kee Siong Ng , Marcus Hutter , Michael Bowling

Support Vector Machines (SVMs) were primarily designed for 2-class classification. But they have been extended for N-class classification also based on the requirement of multiclasses in the practical applications. Although N-class…

Machine Learning · Computer Science 2015-12-03 Aruna Govada , Bhavul Gauri , S. K. Sahay

Ecological Momentary Assessment (EMA) data is organized in multiple levels (per-subject, per-day, etc.) and this particular structure should be taken into account in machine learning algorithms used in EMA like decision trees and its…

Machine Learning · Computer Science 2016-07-07 Gerasimos Spanakis , Gerhard Weiss , Anne Roefs

In this paper, we propose a fast, well-performing, and consistent method for segmenting a piecewise-stationary, linear time series with an unknown number of breakpoints. The time series model we use is the nonparametric Locally Stationary…

Methodology · Statistics 2016-11-30 Haeran Cho , Piotr Fryzlewicz

In modern computer experiment applications, one often encounters the situation where various models of a physical system are considered, each implemented as a simulator on a computer. An important question in such a setting is determining…

Methodology · Statistics 2023-05-08 John C. Yannotty , Thomas J. Santner , Richard J. Furnstahl , Matthew T. Pratola

This paper investigates the a-posteriori analysis of Branch-and-Bound~(BB) trees to extract structural information about the feasible region of mixed-binary linear programs. We introduce three novel outer approximations of the feasible…

Optimization and Control · Mathematics 2025-10-14 Marius Roland , Nagisa Sugishita , Alexandre Forel , Youssouf Emine , Ricardo Fukasawa , Thibaut Vidal

In this paper, we propose Belief Behavior Trees (BBTs), an extension to Behavior Trees (BTs) that allows to automatically create a policy that controls a robot in partially observable environments. We extend the semantic of BTs to account…

Robotics · Computer Science 2020-08-24 Evgenii Safronov , Michele Colledanchise , Lorenzo Natale

Ensemble decision tree methods such as XGBoost, Random Forest, and Bayesian Additive Regression Trees (BART) have gained enormous popularity in data science for their superior performance in machine learning regression and classification…

Methodology · Statistics 2025-09-10 Shuren He , Huiyan Sang , Quan Zhou

Stick-breaking (SB) processes are often adopted in Bayesian mixture models for generating mixing weights. When covariates influence the sizes of clusters, SB mixtures are particularly convenient as they can leverage their connection to…

Methodology · Statistics 2024-08-16 Akira Horiguchi , Cliburn Chan , Li Ma

The Gradient Boosted Tree (GBT) algorithm is one of the most popular machine learning algorithms used in production, for tasks that include Click-Through Rate (CTR) prediction and learning-to-rank. To deal with the massive datasets…

Machine Learning · Computer Science 2019-05-30 Theodore Vasiloudis , Hyunsu Cho , Henrik Boström

Decision trees are widely used for classification and regression tasks in a variety of application fields due to their interpretability and good accuracy. During the past decade, growing attention has been devoted to globally optimized…

Machine Learning · Computer Science 2025-01-28 Antonio Consolo , Edoardo Amaldi , Andrea Manno

In binary and ordinal regression one can distinguish between a location component and a scaling component. While the former determines the location within the range of the response categories, the scaling indicates variance heterogeneity.…

Methodology · Statistics 2019-10-31 Gerhard Tutz , Moritz Berger

Segmentation-based image coding methods provide high compression ratios when compared with traditional image coding approaches like the transform and sub band coding for low bit-rate compression applications. In this paper, a…

Computer Vision and Pattern Recognition · Computer Science 2012-11-12 Rehna V. J. , M. K. Jeyakumar

Many machine learning tools for regression are based on recursive partitioning of the covariate space into smaller regions, where the regression function can be estimated locally. Among these, regression trees and their ensembles have…

Statistics Theory · Mathematics 2017-11-30 Stephanie van der Pas , Veronika Rockova