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The Brier Score is a widely-used criterion to assess the quality of probabilistic predictions of binary events. The expectation value of the Brier Score can be decomposed into the sum of three components called reliability, resolution, and…

统计方法学 · 统计学 2014-01-03 Stefan Siegert

Two-stage stochastic programming is a popular framework for optimization under uncertainty, where decision variables are split between first-stage decisions, and second-stage (or recourse) decisions, with the latter being adjusted after…

最优化与控制 · 数学 2024-03-19 Antonio Alcántara , Carlos Ruiz , Calvin Tsay

Parameter estimation via unbinned maximum likelihood fits is central for many analyses performed in high energy physics. Unbinned maximum likelihood fits using event weights, for example to statistically subtract background contributions…

数据分析、统计与概率 · 物理学 2022-05-09 Christoph Langenbruch

Maximum likelihood estimation is a common method of estimating the parameters of the probability distribution from a given sample. This paper aims to introduce the maximum likelihood estimation in the framework of sublinear expectation. We…

概率论 · 数学 2023-01-16 Xinpeng Li , Yue Liu , Jiaquan Lu

We study approval-based committee voting in which a target number of candidates are selected based on voters' approval preferences over candidates. In contrast to most of the work, we consider the setting where voters express uncertain…

计算机科学与博弈论 · 计算机科学 2024-07-30 Hariz Aziz , Venkateswara Rao Kagita , Baharak Rastegari , Mashbat Suzuki

In interactive systems, feedback is often provided in the form of preference between queried options rather than precise scores, which motivates optimization methods to learn from such comparisons. In this work, we propose a…

最优化与控制 · 数学 2025-12-23 Siyi Wang , Zifan Wang , Karl Henrik Johanssson

We develop a maximum likelihood estimating approach for time-to-event Weibull regression models with outcome-dependent sampling, where sampling of subjects is dependent on the residual fraction of the time left to developing the event of…

应用统计 · 统计学 2014-08-01 Brian D. M. Tom , Vernon T. Farewell , Sheila M. Bird

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

With an eye towards human-centered automation, we contribute to the development of a systematic means to infer features of human decision-making from behavioral data. Motivated by the common use of softmax selection in models of human…

最优化与控制 · 数学 2015-09-01 Paul Reverdy , Naomi E. Leonard

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

计算机视觉与模式识别 · 计算机科学 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

Feature selection is an important but challenging task in causal inference for obtaining unbiased estimates of causal quantities. Properly selected features in causal inference not only significantly reduce the time required to implement a…

统计方法学 · 统计学 2025-02-04 Tianyu Yang , Md. Noor-E-Alam

Stability is an important aspect of a classification procedure because unstable predictions can potentially reduce users' trust in a classification system and also harm the reproducibility of scientific conclusions. The major goal of our…

机器学习 · 统计学 2017-01-23 Will Wei Sun , Guang Cheng , Yufeng Liu

This paper develops a two-stage method for inference on partially identified parameters in moment inequality models with separable nuisance parameters. In the first stage, the nuisance parameters are estimated separately, and in the second…

计量经济学 · 经济学 2025-08-28 Xunkang Tian

We introduce the problem of estimation of the parameters of a dynamically selected population in an infinite sequence of random variables and provide its application in the statistical inference based on record values from a non-stationary…

统计理论 · 数学 2015-06-01 Morteza Amini , Nader Nematollahi

Proper scoring rules incentivize experts to accurately report beliefs, assuming predictions cannot influence outcomes. We relax this assumption and investigate incentives when predictions are performative, i.e., when they can influence the…

人工智能 · 计算机科学 2023-05-31 Caspar Oesterheld , Johannes Treutlein , Emery Cooper , Rubi Hudson

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

计算机科学与博弈论 · 计算机科学 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

We develop estimation and inference methods for a stylized macroeconomic model with potentially multiple behavioural equilibria, where agents form expectations using a constant-gain learning rule. We first show geometric ergodicity of the…

计量经济学 · 经济学 2026-03-10 Alexander Mayer , Davide Raggi

Score-based statistical models play an important role in modern machine learning, statistics, and signal processing. For hypothesis testing, a score-based hypothesis test is proposed in \cite{wu2022score}. We analyze the performance of this…

信号处理 · 电气工程与系统科学 2024-02-06 Enmao Diao , Taposh Banerjee , Vahid Tarokh

Recovering and distinguishing between the strict-preference, indifference and/or indecisiveness parts of a decision maker's preferences is a challenging task but also important for testing theory and conducting welfare analysis. This paper…

理论经济学 · 经济学 2025-09-15 Georgios Gerasimou

We propose an estimation method for the conditional mode when the conditioning variable is high-dimensional. In the proposed method, we first estimate the conditional density by solving quantile regressions multiple times. We then estimate…

机器学习 · 统计学 2017-12-27 Hirofumi Ohta , Satoshi Hara