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This work proposes a framework for multistage adjustable robust optimization that unifies the treatment of three different types of endogenous uncertainty, where decisions, respectively, (i) alter the uncertainty set, (ii) affect the…

最优化与控制 · 数学 2020-08-31 Qi Zhang , Wei Feng

This paper investigates multistep prediction errors for non-stationary autoregressive processes with both model order and true parameters unknown. We give asymptotic expressions for the multistep mean squared prediction errors and…

统计理论 · 数学 2009-06-15 Ching-Kang Ing , Jin-Lung Lin , Shu-Hui Yu

Binary classification models which can assign probabilities to categories such as "the tissue is 75% likely to be tumorous" or "the chemical is 25% likely to be toxic" are well understood statistically, but their utility as an input to…

应用统计 · 统计学 2017-12-05 Damjan Krstajic , Ljubomir Buturovic , Simon Thomas , David E Leahy

This paper is devoted to studying the average optimality in continuous-time Markov decision processes with fairly general state and action spaces. The criterion to be maximized is expected average rewards. The transition rates of underlying…

概率论 · 数学 2007-05-23 Xianping Guo , Ulrich Rieder

In this paper, we present a method of maximum a posteriori estimation of parameters in dynamic factor models with incomplete data. We extend maximum likelihood expectation maximization iterations by Ba\'nbura & Modugno (2014) to penalized…

统计方法学 · 统计学 2022-10-14 Erik Spånberg

Uncertainty representation and quantification are paramount in machine learning and constitute an important prerequisite for safety-critical applications. In this paper, we propose novel measures for the quantification of aleatoric and…

机器学习 · 计算机科学 2024-04-22 Paul Hofman , Yusuf Sale , Eyke Hüllermeier

This paper presents a new estimator of the intercept of a linear regression model in cases where the outcome varaible is observed subject to a selection rule. The intercept is often in this context of inherent interest; for example, in a…

计量经济学 · 经济学 2018-09-26 Chuan Goh

Production-grade recommender systems rely heavily on a large-scale corpus used by online media services, including Netflix, Pinterest, and Amazon. These systems enrich recommendations by learning users' and items' embeddings projected in a…

信息检索 · 计算机科学 2024-03-05 Amit Kumar Jaiswal

This paper studies nonparametric empirical Bayes methods in a heterogeneous parameters framework that features unknown means and variances. We provide extended Tweedie's formulae that express the (infeasible) optimal estimators of…

计量经济学 · 经济学 2025-07-04 Sheng Chao Ho

The relevance of determinacy coefficients as indicators for the validity of factor score predictors has regularly been emphasized. Previous simulation studies revealed biased determinacy coefficients for factor score predictors based on…

应用统计 · 统计学 2023-05-12 André Beauducel , Norbert Hilger , Anneke Weide

This paper explores the validity of the two-stage estimation procedure for sparse linear models in high-dimensional settings with possibly many endogenous regressors. In particular, the number of endogenous regressors in the main equation…

统计理论 · 数学 2013-09-18 Ying Zhu

In this paper, we propose a novel Mixed-Integer Non-Linear Optimization formulation to construct a risk score, where we optimize the logistic loss with sparsity constraints. Previous approaches are typically designed to handle binary…

最优化与控制 · 数学 2025-02-13 Cristina Molero-Río , Claudia D'Ambrosio

This paper presents a new exact method to calculate worst-case parameter realizations in two-stage robust optimization problems with categorical or binary-valued uncertain data. Traditional exact algorithms for these problems, notably…

最优化与控制 · 数学 2022-01-19 Anirudh Subramanyam

This paper considers the practically important case of nonparametrically estimating heterogeneous average treatment effects that vary with a limited number of discrete and continuous covariates in a selection-on-observables framework where…

计量经济学 · 经济学 2019-08-26 Michael Zimmert , Michael Lechner

Various ways for decision making with imprecise probabilities (admissibility, maximal expected utility, maximality, E-admissibility, $\Gamma$-maximax, $\Gamma$-maximin, all of which are well-known from the literature) are discussed and…

概率论 · 数学 2018-08-10 Matthias C. M. Troffaes

If uncertainty is modelled by a probability measure, decisions are typically made by choosing the option with the highest expected utility. If an imprecise probability model is used instead, this decision rule can be generalised in several…

人工智能 · 计算机科学 2020-03-27 Jasper De Bock

In this note, we study a class of stochastic control problems where the optimal strategies are described by two parameters. These include a subset of singular control, impulse control, and two-player stochastic games. The parameters are…

最优化与控制 · 数学 2016-05-18 Kazutoshi Yamazaki

A rising topic in computational journalism is how to enhance the diversity in news served to subscribers to foster exploration behavior in news reading. Despite the success of preference learning in personalized news recommendation, their…

机器学习 · 统计学 2017-07-03 Rikiya Takahashi , Shunan Zhang

In this paper, we propose a novel factor-augmented forecasting regression model with a binary response variable. We develop a maximum likelihood estimation method for the regression parameters and establish the asymptotic properties of the…

计量经济学 · 经济学 2025-07-23 Tingting Cheng , Jiachen Cong , Fei Liu , Xuanbin Yang

Matching markets are often organized in a multi-stage and decentralized manner. Moreover, participants in real-world matching markets often have uncertain preferences. This article develops a framework for learning optimal strategies in…

计算机科学与博弈论 · 计算机科学 2021-12-21 Xiaowu Dai , Michael I. Jordan