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Distributed optimization is an essential paradigm to solve large-scale optimization problems in modern applications where big-data and high-dimensionality creates a computational bottleneck. Distributed optimization algorithms that exhibit…

Systems and Control · Electrical Eng. & Systems 2023-05-25 Aayushya Agarwal , Larry Pileggi

Error bound conditions (EBC) are properties that characterize the growth of an objective function when a point is moved away from the optimal set. They have recently received increasing attention in the field of optimization for developing…

Machine Learning · Statistics 2018-05-15 Mingrui Liu , Xiaoxuan Zhang , Lijun Zhang , Rong Jin , Tianbao Yang

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

The iterative weighted shrinkage-thresholding algorithm (IWSTA) has shown superiority to the classic unweighted iterative shrinkage-thresholding algorithm (ISTA) for solving linear inverse problems, which address the attributes differently.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-23 Bingxue Wu , Jiao Wei , Chen Li , Yudong Yao , Yueyang Teng

A novel heuristic approach is proposed here for time series data analysis, dubbed Generalized weighted permutation entropy, which amalgamates and generalizes beyond their original scope two well established data analysis methods:…

Statistical Mechanics · Physics 2022-10-19 Darko Stosic , Dusan Stosic , Tatijana Stosic , Borko Stosic

Mixture models are an expressive hypothesis class that can approximate a rich set of policies. However, using mixture policies in the Maximum Entropy (MaxEnt) framework is not straightforward. The entropy of a mixture model is not equal to…

Machine Learning · Computer Science 2021-03-19 Nir Baram , Guy Tennenholtz , Shie Mannor

The metriplectic formalism is useful for describing complete dynamical systems which conserve energy and produce entropy. This creates challenges for model reduction, as the elimination of high-frequency information will generally not…

Numerical Analysis · Mathematics 2022-12-28 Anthony Gruber , Max Gunzburger , Lili Ju , Zhu Wang

Biases in observational data of treatments pose a major challenge to estimating expected treatment outcomes in different populations. An important technique that accounts for these biases is reweighting samples to minimize the discrepancy…

Machine Learning · Computer Science 2020-09-14 Michal Ozery-Flato , Pierre Thodoroff , Matan Ninio , Michal Rosen-Zvi , Tal El-Hay

In this letter we propose the use of physics techniques for entropy determination on constrained parameter optimization problems. The main feature of such techniques, the construction of an unbiased walk on energy space, suggests their use…

Statistical Mechanics · Physics 2009-11-07 A. R. Lima , M. Argollo de Menezes

Medical prediction applications often need to deal with small sample sizes compared to the number of covariates. Such data pose problems for prediction and variable selection, especially when the covariate-response relationship is…

Machine Learning · Statistics 2024-11-05 Jeroen M. Goedhart , Thomas Klausch , Jurriaan Janssen , Mark A. van de Wiel

The application of standard sufficient dimension reduction methods for reducing the dimension space of predictors without losing regression information requires inverting the covariance matrix of the predictors. This has posed a number of…

Methodology · Statistics 2019-10-01 Kabir Opeyemi Olorede , Waheed Babatunde Yahya

Inferring the causal effects of time-varying treatments is often hindered by highly variable inverse propensity weights, particularly in settings with limited covariate overlap. Building on the key framework of Imai and Ratkovic (2015), we…

Methodology · Statistics 2025-11-06 Yige Li , María de los Angeles Resa , José R. Zubizarreta

Covariate balance is crucial in obtaining unbiased estimates of treatment effects in observational studies. Methods based on inverse probability weights have been widely used to estimate treatment effects with observational data. Machine…

Methodology · Statistics 2021-04-08 Michele Santacatterina

In observational studies, confounding variables affect both treatment and outcome. Moreover, instrumental variables also influence the treatment assignment mechanism. This situation sets the study apart from a standard randomized controlled…

Machine Learning · Statistics 2025-07-18 Atomsa Gemechu Abdisa , Yingchun Zhou , Yuqi Qiu

An entropy-bounded Discontinuous Galerkin (EBDG) scheme is proposed in which the solution is regularized by constraining the entropy. The resulting scheme is able to stabilize the solution in the vicinity of discontinuities and retains the…

Numerical Analysis · Mathematics 2015-05-20 Yu Lv , Matthias Ihme

In various chemical systems enthalpy-entropy compensation (EEC) is a well-known rule of behavior, although the physical roots of it are still not completely understood. It has been frequently questioned whether EEC is a truly physical…

Statistical Mechanics · Physics 2015-06-04 E. B. Starikov , B. Norden

In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and its extended version. The paper concerns about the exact…

Analysis of PDEs · Mathematics 2024-11-06 Maarten V. de Hoop , Ching-Lung Lin , Gen Nakamura

The optimal design of experiments typically involves solving an NP-hard combinatorial optimization problem. In this paper, we aim to develop a globally convergent and practically efficient optimization algorithm. Specifically, we consider a…

Econometrics · Economics 2022-11-29 Yiping Lu , Jiajin Li , Lexing Ying , Jose Blanchet

This paper reveals that a common and central role, played in many error bound (EB) conditions and a variety of gradient-type methods, is a residual measure operator. On one hand, by linking this operator with other optimality measures, we…

Optimization and Control · Mathematics 2018-05-17 Hui Zhang

We propose a framework that aligns Conditional Average Treatment Effect (CATE) estimation with profit maximization. Our method recognizes that, for customers with extreme treatment effects, additional estimation accuracy is unlikely to…

Econometrics · Economics 2026-04-21 Artem Timoshenko , Caio Waisman