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Boosting is a fundamental approach in machine learning that enjoys both strong theoretical and practical guarantees. At a high-level, boosting algorithms cleverly aggregate weak learners to generate predictions with arbitrarily high…

Machine Learning · Computer Science 2022-10-19 Vinod Raman , Ambuj Tewari

Variational empirical Bayes (VEB) methods provide a practically attractive approach to fitting large, sparse, multiple regression models. These methods usually use coordinate ascent to optimize the variational objective function, an…

Methodology · Statistics 2024-11-25 Saikat Banerjee , Peter Carbonetto , Matthew Stephens

High-risk artificial intelligence and machine learning classification tasks, such as healthcare diagnosis, require accurate and interpretable prediction models. However, classifier algorithms typically sacrifice individual case-accuracy for…

Machine Learning · Computer Science 2025-05-20 Alice Williams , Boris Kovalerchuk

We offer a novel view of AdaBoost in a statistical setting. We propose a Bayesian model for binary classification in which label noise is modeled hierarchically. Using variational inference to optimize a dynamic evidence lower bound, we…

Machine Learning · Statistics 2012-09-11 Alexander Lorbert , David M. Blei , Robert E. Schapire , Peter J. Ramadge

Instrumental variable (IV) regression is a standard strategy for learning causal relationships between confounded treatment and outcome variables from observational data by utilizing an instrumental variable, which affects the outcome only…

Machine Learning · Computer Science 2023-06-28 Liyuan Xu , Yutian Chen , Siddarth Srinivasan , Nando de Freitas , Arnaud Doucet , Arthur Gretton

We propose a black-box variational inference method to approximate intractable distributions with an increasingly rich approximating class. Our method, termed variational boosting, iteratively refines an existing variational approximation…

Machine Learning · Statistics 2017-02-21 Andrew C. Miller , Nicholas Foti , Ryan P. Adams

Variational inference (VI) provides fast approximations of a Bayesian posterior in part because it formulates posterior approximation as an optimization problem: to find the closest distribution to the exact posterior over some family of…

Machine Learning · Statistics 2017-03-03 Fangjian Guo , Xiangyu Wang , Kai Fan , Tamara Broderick , David B. Dunson

We present a new algorithm for boosting generalized additive models for location, scale and shape (GAMLSS) that allows to incorporate stability selection, an increasingly popular way to obtain stable sets of covariates while controlling the…

Computation · Statistics 2017-05-16 Janek Thomas , Andreas Mayr , Bernd Bischl , Matthias Schmid , Adam Smith , Benjamin Hofner

Stochastic gradient descent (SGD), which dates back to the 1950s, is one of the most popular and effective approaches for performing stochastic optimization. Research on SGD resurged recently in machine learning for optimizing convex loss…

Machine Learning · Computer Science 2019-12-24 Jie Chen , Ronny Luss

We consider the problem of system identification of partially observed linear time-invariant (LTI) systems. Given input-output data, we provide non-asymptotic guarantees for identifying the system parameters under general heavy-tailed noise…

Systems and Control · Electrical Eng. & Systems 2025-04-28 Vinay Kanakeri , Aritra Mitra

Owing to their stability and convergence speed, extragradient methods have become a staple for solving large-scale saddle-point problems in machine learning. The basic premise of these algorithms is the use of an extrapolation step before…

Optimization and Control · Mathematics 2020-11-06 Yu-Guan Hsieh , Franck Iutzeler , Jérôme Malick , Panayotis Mertikopoulos

In this work, we develop analysis and algorithms for a class of (stochastic) bilevel optimization problems whose lower-level (LL) problem is strongly convex and linearly constrained. Most existing approaches for solving such problems rely…

Optimization and Control · Mathematics 2025-04-08 Prashant Khanduri , Ioannis Tsaknakis , Yihua Zhang , Sijia Liu , Mingyi Hong

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

Nonparametric maximum likelihood estimation is intended to infer the unknown density distribution while making as few assumptions as possible. To alleviate the over parameterization in nonparametric data fitting, smoothing assumptions are…

Machine Learning · Statistics 2021-04-21 YunPeng Li , ZhaoHui Ye

Pattern recognition applications often suffer from skewed data distributions between classes, which may vary during operations w.r.t. the design data. Two-class classification systems designed using skewed data tend to recognize the…

Machine Learning · Computer Science 2019-12-02 Roghayeh Soleymani , Eric Granger , Giorgio Fumera

Distributionally Robust Optimization (DRO) has been shown to provide a flexible framework for decision making under uncertainty and statistical estimation. For example, recent works in DRO have shown that popular statistical estimators can…

Machine Learning · Statistics 2020-04-21 Jose Blanchet , Yang Kang , Fan Zhang , Zhangyi Hu

We present nonparametric algorithms for estimating optimal individualized treatment rules. The proposed algorithms are based on the XGBoost algorithm, which is known as one of the most powerful algorithms in the machine learning literature.…

Machine Learning · Statistics 2020-02-04 Duzhe Wang , Haoda Fu , Po-Ling Loh

Gradient boosting machines (GBMs) based on decision trees consistently demonstrate state-of-the-art results on regression and classification tasks with tabular data, often outperforming deep neural networks. However, these models do not…

Machine Learning · Computer Science 2023-02-23 Tristan Cinquin , Tammo Rukat , Philipp Schmidt , Martin Wistuba , Artur Bekasov

The theory of boosting provides a computational framework for aggregating approximate weak learning algorithms, which perform marginally better than a random predictor, into an accurate strong learner. In the realizable case, the success of…

Machine Learning · Computer Science 2024-11-01 Udaya Ghai , Karan Singh

We explore the capability of transformers to address endogeneity in in-context linear regression. Our main finding is that transformers inherently possess a mechanism to handle endogeneity effectively using instrumental variables (IV).…

Machine Learning · Statistics 2025-05-13 Haodong Liang , Krishnakumar Balasubramanian , Lifeng Lai
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