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This paper introduces consensus-based primal-dual methods for distributed online optimization where the time-varying system objective function $f_t(\mathbf{x})$ is given as the sum of local agents' objective functions, i.e.,…

最优化与控制 · 数学 2017-06-01 Soomin Lee , Michael M. Zavlanos

This work examines the optimal covariance steering problem for systems subject to unknown parameters that enter multiplicatively with the state and control, in addition to additive disturbances. In contrast to existing works, the unknown…

系统与控制 · 电气工程与系统科学 2024-03-26 Jacob W. Knaup , Panagiotis Tsiotras

For multivariate nonparametric regression, doubly penalized ANOVA modeling (DPAM) has recently been proposed, using hierarchical total variations (HTVs) and empirical norms as penalties on the component functions such as main effects and…

统计计算 · 统计学 2022-10-21 Penghui Fu , Zhiqiang Tan

The widespread use of maximum Jeffreys'-prior penalized likelihood in binomial-response generalized linear models, and in logistic regression, in particular, are supported by the results of Kosmidis and Firth (2021, Biometrika), who show…

统计方法学 · 统计学 2024-06-10 Patrick Zietkiewicz , Ioannis Kosmidis

A convincing feature of least-squares finite element methods is the built-in a posteriori error estimator for any conforming discretization. In order to generalize this property to discontinuous finite element ansatz functions, this paper…

数值分析 · 数学 2025-02-18 Philipp Bringmann

Clinical decision-making often involves selecting tests that are costly, invasive, or time-consuming, motivating individualized, sequential strategies for what to measure and when to stop ascertaining. We study the problem of learning…

机器学习 · 统计学 2026-04-16 Doudou Zhou , Yiran Zhang , Dian Jin , Yingye Zheng , Lu Tian , Tianxi Cai

Non-parametric maximum likelihood estimation encompasses a group of classic methods to estimate distribution-associated functions from potentially censored and truncated data, with extensive applications in survival analysis. These methods,…

统计方法学 · 统计学 2021-08-05 Justin D. Tubbs , Lane Guolan Chen , Thuan Quoc Thach , Pak C. Sham

Binary segmentation, which is sequential in nature is thus far the most widely used method for identifying multiple change points in statistical models. Here we propose a top down methodology called arbitrary segmentation that proceeds in a…

统计理论 · 数学 2019-06-12 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

Flexible estimation of heterogeneous treatment effects lies at the heart of many statistical challenges, such as personalized medicine and optimal resource allocation. In this paper, we develop a general class of two-step algorithms for…

机器学习 · 统计学 2020-08-07 Xinkun Nie , Stefan Wager

We propose a method for estimating coefficients in multivariate regression when there is a clustering structure to the response variables. The proposed method includes a fusion penalty, to shrink the difference in fitted values from…

机器学习 · 统计学 2018-03-28 Bradley S. Price , Ben Sherwood

Instrumental variable (IV) analysis is widely used in fields such as economics and epidemiology to address unobserved confounding and measurement error when estimating the causal effects of intermediate covariates on outcomes. However,…

统计方法学 · 统计学 2025-09-16 Zian Zhuang , Hua Zhou , Jin Zhou , Gang Li

High throughput experimental systems play an important role in bioprocess development, as they provide an efficient way of analysing different experimental conditions and perform strain discrimination in previous phases to the industrial…

Despite the success of single-agent reinforcement learning, multi-agent reinforcement learning (MARL) remains challenging due to complex interactions between agents. Motivated by decentralized applications such as sensor networks, swarm…

机器学习 · 计算机科学 2019-01-10 Hoi-To Wai , Zhuoran Yang , Zhaoran Wang , Mingyi Hong

Many recent developments in the high-dimensional statistical time series literature have centered around time-dependent applications that can be adapted to regularized least squares. Of particular interest is the lasso, which both serves to…

统计方法学 · 统计学 2020-10-16 William B. Nicholson , Xiaohan Yan

Nowadays, algorithms with fast convergence, small memory footprints, and low per-iteration complexity are particularly favorable for artificial intelligence applications. In this paper, we propose a doubly stochastic algorithm with a novel…

机器学习 · 计算机科学 2023-04-25 Zebang Shen , Hui Qian , Tongzhou Mu , Chao Zhang

In empirical studies with time-to-event outcomes, investigators often leverage observational data to conduct causal inference on the effect of exposure when randomized controlled trial data is unavailable. Model misspecification and lack of…

统计方法学 · 统计学 2023-05-05 Shenbo Xu , Bang Zheng , Bowen Su , Stan Finkelstein , Roy Welsch , Kenney Ng , Ioanna Tzoulaki , Zach Shahn

In Compressed Sensing and high dimensional estimation, signal recovery often relies on sparsity assumptions and estimation is performed via $\ell_1$-penalized least-squares optimization, a.k.a. LASSO. The $\ell_1$ penalisation is usually…

统计计算 · 统计学 2018-05-07 Stephane Chretien , Alex Gibberd , Sandipan Roy

Penalized least squares estimation is a popular technique in high-dimensional statistics. It includes such methods as the LASSO, the group LASSO, and the nuclear norm penalized least squares. The existing theory of these methods is not…

统计理论 · 数学 2017-07-10 Pierre C. Bellec , Guillaume Lecué , Alexandre B. Tsybakov

Motivated by modern applications such as computerized adaptive testing, sequential rank aggregation, and heterogeneous data source selection, we study the problem of active sequential estimation, which involves adaptively selecting…

统计理论 · 数学 2024-02-14 Xiaoou Li , Hongru Zhao

Previous results pertaining to algebraic state and parameter estimation of linear systems based on a special construction of a forward-backward kernel representation of linear differential invariants are extended to handle large noise in…

系统与控制 · 电气工程与系统科学 2021-02-02 Debarshi Patanjali Ghoshal , Hannah Michalska