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We introduce a nonparametric prior on the conditional distribution of a (univariate or multivariate) response given a set of predictors. The prior is constructed in the form of a two-stage generative procedure, which in the first stage…

Methodology · Statistics 2017-03-16 Li Ma

The convergence of expectation-maximization (EM)-based algorithms typically requires continuity of the likelihood function with respect to all the unknown parameters (optimization variables). The requirement is not met when parameters…

Signal Processing · Electrical Eng. & Systems 2024-04-18 Geethu Joseph

We propose two algorithms for discrete-time parameter estimation, one for time-varying parameters under persistent excitation (PE) condition, another for constant parameters under no PE condition. For the first algorithm, we show that in…

Machine Learning · Computer Science 2022-03-15 Yingnan Cui , Joseph E. Gaudio , Anuradha M. Annaswamy

Prediction rule ensembles (PREs) are a relatively new statistical learning method, which aim to strike a balance between predictive accuracy and interpretability. Starting from a decision tree ensemble, like a boosted tree ensemble or a…

Applications · Statistics 2023-10-02 Marjolein Fokkema , Carolin Strobl

Model predictive control solves a constrained optimization problem online in order to compute an implicit closed-loop control policy. Recursive feasibility -- guaranteeing that the optimal control problem will have a solution at every time…

Optimization and Control · Mathematics 2024-10-16 Jacob W. Knaup , Panagiotis Tsiotras

We provide a novel -- and to the best of our knowledge, the first -- algorithm for high dimensional sparse regression with constant fraction of corruptions in explanatory and/or response variables. Our algorithm recovers the true sparse…

Machine Learning · Computer Science 2019-05-31 Liu Liu , Yanyao Shen , Tianyang Li , Constantine Caramanis

In multiobjective optimization, the result of an optimization algorithm is a set of efficient solutions from which the decision maker selects one. It is common that not all the efficient solutions can be computed in a short time and the…

Neural and Evolutionary Computing · Computer Science 2024-03-20 Miguel Ángel Domínguez-Ríos , Francisco Chicano , Enrique Alba

With the wide adoption of machine learning techniques, requirements have evolved beyond sheer high performance, often requiring models to be trustworthy. A common approach to increase the trustworthiness of such systems is to allow them to…

Machine Learning · Computer Science 2023-11-16 Andrea Pugnana , Carlos Mougan , Dan Saattrup Nielsen

Prescriptive process monitoring methods seek to optimize the performance of business processes by triggering interventions at runtime, thereby increasing the probability of positive case outcomes. These interventions are triggered according…

Artificial Intelligence · Computer Science 2025-05-20 Mahmoud Shoush , Marlon Dumas

Prediction Rule Ensembles (PREs) are robust and interpretable statistical learning techniques with potential for predictive analytics, yet their efficacy in the presence of missing data is untested. This study uses multiple imputation to…

Applications · Statistics 2024-10-22 Vincent Schroeder , Jakob Schwerter , Marjolein Fokkema , Philipp Doebler

The use of machine learning for time series prediction has become increasingly popular across various industries thanks to the availability of time series data and advancements in machine learning algorithms. However, traditional methods…

Machine Learning · Statistics 2023-06-01 Gonçalo Mateus , Cláudia Soares , João Leitão , António Rodrigues

We propose a flexible and identifiable version of the two-groups model, motivated by hierarchical Bayes considerations, that features an empirical null and a semiparametric mixture model for the non-null cases. We use a computationally…

Methodology · Statistics 2012-06-26 Ryan Martin , Surya T. Tokdar

Most identification laws of unknown parameters of linear regression equations (LRE) ensure only boundedness of a parametric error in the presence of additive perturbations, which is almost always unacceptable for practical scenarios. In…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Anton Glushchenko , Konstantin Lastochkin

In the past several years a wide range of methods for the construction of regression trees and other estimators based on the recursive partitioning of samples have appeared in the statistics literature. Many applications involve data…

Methodology · Statistics 2014-07-07 Daniell Toth , John Eltinge

We show that the same maximum entropy principle applied to recurrence microstates configures a new way to properly compute the time delay necessary to correctly sample a data set. The new method retrieves results obtained using traditional…

Data Analysis, Statistics and Probability · Physics 2020-10-08 Thiago Lima Prado , Vandertone Santos Machado , Gilberto Corso , Gustavo Zampier dos Santos Lima , Sergio Roberto Lopes

Selective prediction, where a model has the option to abstain from making a decision, is crucial for machine learning applications in which mistakes are costly. In this work, we focus on distributional regression and introduce a framework…

Statistics Theory · Mathematics 2025-04-01 Ahmed Zaoui , Clément Dombry

This paper proposes Branch & Learn, a framework for Predict+Optimize to tackle optimization problems containing parameters that are unknown at the time of solving. Given an optimization problem solvable by a recursive algorithm satisfying…

Machine Learning · Computer Science 2022-05-05 Xinyi Hu , Jasper C. H. Lee , Jimmy H. M. Lee , Allen Z. Zhong

In the literature, two series of models have been proposed to address prediction problems including classification and regression. Simple models, such as generalized linear models, have ordinary performance but strong interpretability on a…

Machine Learning · Computer Science 2016-11-01 Jingbo Shang , Meng Jiang , Wenzhu Tong , Jinfeng Xiao , Jian Peng , Jiawei Han

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. The model considered in the paper is very general as we do not impose any…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

Devising efficient algorithms to solve continuously-varying strongly convex optimization programs is key in many applications, from control systems to signal processing and machine learning. In this context, solving means to find and track…

Optimization and Control · Mathematics 2020-01-09 Andrea Simonetto
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