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In studies of educational production functions or intergenerational mobility, it is common to transform the key variables into percentile ranks. Yet, it remains unclear what the regression coefficient estimates with ranks of the outcome or…

计量经济学 · 经济学 2024-06-11 Lihua Lei

With the advancement of data science, the collection of increasingly complex datasets has become commonplace. In such datasets, the data dimension can be extremely high, and the underlying data generation process can be unknown and highly…

机器学习 · 统计学 2024-03-29 Yaxin Fang , Faming Liang

In causal inference, an important problem is to quantify the effects of interventions or treatments. Many studies focus on estimating the mean causal effects; however, these estimands may offer limited insight since two distributions can…

统计方法学 · 统计学 2024-11-05 Archer Gong Zhang , Nancy Reid , Qiang Sun

In this expository paper, we consider the problem of causal inference and efficient estimation for the counterfactual survivor function. This problem has previously been considered in the literature in several papers, each relying on the…

统计方法学 · 统计学 2025-10-02 Benjamin R. Baer , Ashkan Ertefaie , Robert L. Strawderman

As a generalization of the standard phase retrieval problem, we seek to reconstruct symmetric rank-1 matrices from inner products with subclasses of positive semidefinite matrices. For such subclasses, we introduce random cubatures for…

数值分析 · 数学 2017-09-04 Martin Ehler , Manuel Graef , Franz J. Kiraly

Causally insufficient structures (models with latent or hidden variables, or with confounding etc.) of joint probability distributions have been subject of intense study not only in statistics, but also in various AI systems. In AI, belief…

人工智能 · 计算机科学 2018-06-04 Mieczysław A. Kłopotek

Probabilistic circuits (PCs) are a class of tractable probabilistic models, which admit efficient inference routines depending on their structural properties. In this paper, we introduce md-vtrees, a novel structural formulation of…

人工智能 · 计算机科学 2023-04-18 Benjie Wang , Marta Kwiatkowska

Policies trained via reinforcement learning (RL) are often very complex even for simple tasks. In an episode with $n$ time steps, a policy will make $n$ decisions on actions to take, many of which may appear non-intuitive to the observer.…

人工智能 · 计算机科学 2021-11-17 Daniel McNamee , Hana Chockler

Causal mediation analysis in cluster-randomized trials (CRTs) is complicated by the presence of multiple mediators, intracluster correlation, and within-cluster interference. Existing mediation methods often fall short in accommodating…

统计方法学 · 统计学 2026-04-14 Jiaqi Tong , Chao Cheng , Fan Li

Cumulative prospect theory (CPT) is known to model human decisions well, with substantial empirical evidence supporting this claim. CPT works by distorting probabilities and is more general than the classic expected utility and coherent…

机器学习 · 计算机科学 2016-03-01 Prashanth L. A. , Cheng Jie , Michael Fu , Steve Marcus , Csaba Szepesvári

Several methods exist to infer causal networks from massive volumes of observational data. However, almost all existing methods require a considerable length of time series data to capture cause and effect relationships. In contrast,…

机器学习 · 统计学 2016-12-22 Abbas Shojaee , Isuru Ranasinghe , Alireza Ani

A formalism is developed to study certain five-term recursion relations by discrete phase integral (or Wentzel-Kramers-Brillouin) methods. Such recursion relations arise naturally in the study of the Schrodinger equation for certain spin…

数学物理 · 物理学 2007-05-23 Anupam Garg

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

统计方法学 · 统计学 2025-08-26 Ye Wang , Michael Jetsupphasuk

We study risk-sensitive Reinforcement Learning (RL), where we aim to maximize the Conditional Value at Risk (CVaR) with a fixed risk tolerance $\tau$. Prior theoretical work studying risk-sensitive RL focuses on the tabular Markov Decision…

机器学习 · 计算机科学 2023-11-21 Yulai Zhao , Wenhao Zhan , Xiaoyan Hu , Ho-fung Leung , Farzan Farnia , Wen Sun , Jason D. Lee

Causal inference problems have remained an important research topic over the past several decades due to their general applicability in assessing a treatment effect in many different real-world settings. In this paper, we propose two…

统计方法学 · 统计学 2024-01-17 Jingyue Huang , Changbao Wu , Leilei Zeng

We study the problem of discovering the simplest latent variable that can make two observed discrete variables conditionally independent. The minimum entropy required for such a latent is known as common entropy in information theory. We…

Reinforcement learning (RL) algorithms struggle with learning optimal policies for tasks where reward feedback is sparse and depends on a complex sequence of events in the environment. Probabilistic reward machines (PRMs) are finite-state…

机器学习 · 计算机科学 2025-10-20 Jan Corazza , Hadi Partovi Aria , Daniel Neider , Zhe Xu

Most existing causal discovery methods rely on the assumption of no latent confounders, limiting their applicability in solving real-life problems. In this paper, we introduce a novel, versatile framework for causal discovery that…

Scientific discovery catalyzes human intellectual advances, driven by the cycle of hypothesis generation, experimental design, evaluation, and assumption refinement. Central to this process is causal inference, uncovering the mechanisms…

机器学习 · 计算机科学 2025-09-26 Ivaxi Sheth , Sahar Abdelnabi , Mario Fritz

Randomized Controlled Trials (RCTs) are pivotal in generating internally valid estimates with minimal assumptions, serving as a cornerstone for researchers dedicated to advancing causal inference methods. However, extending these findings…

统计方法学 · 统计学 2024-05-28 Melody Y Huang , Harsh Parikh