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While techniques have been developed for chance constrained stochastic optimal control using sample disturbance data that provide a probabilistic confidence bound for chance constraint satisfaction, far less is known about how to use sample…

系统与控制 · 电气工程与系统科学 2023-03-31 Shawn Priore , Meeko Oishi

Balancing covariates is critical for credible and efficient randomized experiments. Rerandomization addresses this by repeatedly generating treatment assignments until covariate balance meets a prespecified threshold. By shrinking this…

统计方法学 · 统计学 2026-02-10 Jiuyao Lu , Tianruo Zhang , Ke Zhu

We introduce a novel covariance estimator for portfolio selection that adapts to the non-stationary or persistent heteroskedastic environments of financial time series by employing exponentially weighted averages and nonlinearly shrinking…

机器学习 · 统计学 2023-01-23 Vincent Tan , Stefan Zohren

Maximum Likelihood Estimation of continuous variable models can be very challenging in high dimensions, due to potentially complex probability distributions. The existence of multiple interdependencies among variables can make it very…

机器学习 · 统计学 2024-09-06 Jean-Sébastien Brouillon , Florian Dörfler , Giancarlo Ferrari-Trecate

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

最优化与控制 · 数学 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

This work addresses the optimal covariance control problem for stochastic discrete-time linear time-varying systems subject to chance constraints. Covariance steering is a stochastic control problem to steer the system state Gaussian…

最优化与控制 · 数学 2018-04-10 Kazuhide Okamoto , Maxim Goldshtein , Panagiotis Tsiotras

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

统计理论 · 数学 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

应用统计 · 统计学 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal

We commonly encounter the problem of identifying an optimally weight adjusted version of the empirical distribution of observed data, adhering to predefined constraints on the weights. Such constraints often manifest as restrictions on the…

机器学习 · 统计学 2024-01-17 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

最优化与控制 · 数学 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

We introduce a dynamic approach to probabilistic forecast reconciliation at scale. Our model differs from the existing literature in this area in several important ways. Firstly we explicitly allow the weights allocated to the base…

统计方法学 · 统计学 2024-09-20 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

We consider the optimal decision-making problem in a primary sample of interest with multiple auxiliary sources available. The outcome of interest is limited in the sense that it is only observed in the primary sample. In reality, such…

统计方法学 · 统计学 2022-09-23 Hengrui Cai , Wenbin Lu , Rui Song

Solving parabolic optimal control problems can be inherently challenging in the field of science and engineering, especially with constraints on the nonsmooth distributed control. Motivated by the extensive applicability of the alternating…

最优化与控制 · 数学 2026-03-03 Haiming Song , Jinda Yang , Yuran Yang , Jianhua Yuan

Sparse inverse covariance selection is a fundamental problem for analyzing dependencies in high dimensional data. However, such a problem is difficult to solve since it is NP-hard. Existing solutions are primarily based on convex…

数值分析 · 计算机科学 2018-04-05 Ganzhao Yuan , Haoxian Tan , Wei-Shi Zheng

Parallel iterative applications often suffer from load imbalance, one of the most critical performance degradation factors. Hence, load balancing techniques are used to distribute the workload evenly to maximize performance. A key challenge…

分布式、并行与集群计算 · 计算机科学 2021-04-06 Anthony Boulmier , Nabil Abdennadher , Bastien Chopard

Using observation data to estimate unknown parameters in computational models is broadly important. This task is often challenging because solutions are non-unique due to the complexity of the model and limited observation data. However,…

统计方法学 · 统计学 2018-12-18 Jiacheng Wu , Jian-Xun Wang , Shawn C. Shadden

Quasi-periodic responses composed of multiple base frequencies widely exist in science and engineering problems. The multiple harmonic balance (MHB) method is one of the most commonly used approaches for such problems. However, it is…

数值分析 · 数学 2023-04-27 Qisi Wang , Zipu Yan , Honghua Dai

The Maximum Balanced Biclique Problem (MBBP) is a prominent model with numerous applications. Yet, the problem is NP-hard and thus computationally challenging. We propose novel ideas for designing effective exact algorithms for MBBP.…

离散数学 · 计算机科学 2017-05-23 Yi Zhou , André Rossi , Jin-Kao Hao

This paper studies the estimation and inference of treatment effects in panel data settings when treatments change dynamically over time. We propose a balancing method that allows for (i) treatments to be assigned dynamically over time…

计量经济学 · 经济学 2026-02-24 Davide Viviano , Jelena Bradic

We aim to create the highest possible quality of treatment-control matches for categorical data in the potential outcomes framework. Matching methods are heavily used in the social sciences due to their interpretability, but most matching…

机器学习 · 统计学 2019-06-11 Yameng Liu , Aw Dieng , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky