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No man is an island, as individuals interact and influence one another daily in our society. When social influence takes place in experiments on a population of interconnected individuals, the treatment on a unit may affect the outcomes of…

统计方法学 · 统计学 2017-08-30 Edward K. Kao

The analysis of practical probabilistic models on the computer demands a convenient representation for the available knowledge and an efficient algorithm to perform inference. An appealing representation is the influence diagram, a network…

人工智能 · 计算机科学 2013-04-15 Ross D. Shachter

For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

统计理论 · 数学 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival

We propose new summary statistics to quantify the association between the components in coverage-reweighted moment stationary multivariate random sets and measures. They are defined in terms of the coverage-reweighted cumulant densities and…

统计理论 · 数学 2016-08-08 M. N. M. van Lieshout

The inferential model (IM) framework provides valid prior-free probabilistic inference by focusing on predicting unobserved auxiliary variables. But, efficient IM-based inference can be challenging when the auxiliary variable is of higher…

统计理论 · 数学 2015-01-20 Ryan Martin , Chuanhai Liu

Deep Neural Networks lead the state of the art of computer vision tasks. Despite this, Neural Networks are brittle in that small changes in the input can drastically affect their prediction outcome and confidence. Consequently and…

计算机视觉与模式识别 · 计算机科学 2021-05-04 Camilo Pestana , Wei Liu , David Glance , Robyn Owens , Ajmal Mian

In this paper, we study a non-linear filtering problem in the presence of signal model uncertainty. The model ambiguity is characterized by a class of probability measures from which the true one is taken. After interchanging the order of…

最优化与控制 · 数学 2023-08-23 Jiaqi Zhang , Jie Xiong

We consider a causal inference model in which individuals interact in a social network and they may not comply with the assigned treatments. In particular, we suppose that the form of network interference is unknown to researchers. To…

统计方法学 · 统计学 2023-10-24 Tadao Hoshino , Takahide Yanagi

The estimation of causal effects using quasiexperiments often relies on the use of unusual or serendipitous sources of exogenous variation. When the goal is estimating the same causal effects across many different settings, the same unusual…

计量经济学 · 经济学 2026-05-26 Nick Huntington-Klein

Uncertainty relations are central to quantum physics. While they were originally formulated in terms of variances, they have later been successfully expressed with entropies following the advent of Shannon information theory. Here, we…

量子物理 · 物理学 2019-05-01 Anaelle Hertz , Nicolas J. Cerf

We examine settings in which agents choose behaviors and care about their neighbors' behaviors, but have incomplete information about the network in which they are embedded. We develop a model in which agents use local knowledge of their…

理论经济学 · 经济学 2024-12-04 Promit K. Chaudhuri , Matthew O. Jackson , Sudipta Sarangi , Hector Tzavellas

In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or space-series. The key idea is to establish a connection…

信号处理 · 电气工程与系统科学 2021-12-09 Louis L. Scharf , Yuan Wang

Increasingly, there is a marked interest in estimating causal effects under network interference due to the fact that interference manifests naturally in networked experiments. However, network information generally is available only up to…

统计方法学 · 统计学 2022-09-02 Wenrui Li , Daniel L. Sussman , Eric D. Kolaczyk

Obtaining heteroscedastic predictive uncertainties from a Bayesian Neural Network (BNN) is vital to many applications. Often, heteroscedastic aleatoric uncertainties are learned as outputs of the BNN in addition to the predictive means,…

机器学习 · 计算机科学 2026-05-01 David J. Schodt , Ryan Brown , Michael Merritt , Samuel Park , Delsin Menolascino , Mark A. Peot

Studying the effects of one-way variation of any number of parameters on any number of output probabilities quickly becomes infeasible in practice, especially if various evidence profiles are to be taken into consideration. To provide for…

人工智能 · 计算机科学 2012-07-09 Silja Renooij , Linda C. van der Gaag

In this paper we provide a simple random-variable example of inconsistent information, and analyze it using three different approaches: Bayesian, quantum-like, and negative probabilities. We then show that, at least for this particular…

其他统计学 · 统计学 2013-09-27 J. Acacio de Barros

We consider a nonlinear dynamical system on a signed graph, which can be interpreted as a mathematical model of social networks in which the links can have both positive and negative connotations. In accordance with a concept from social…

社会与信息网络 · 计算机科学 2015-06-16 Tyler H. Summers , Iman Shames

Lexical ambiguity presents a profound and enduring challenge to the language sciences. Researchers for decades have grappled with the problem of how language users learn, represent and process words with more than one meaning. Our work…

计算与语言 · 计算机科学 2023-04-27 Benedetta Cevoli , Chris Watkins , Yang Gao , Kathleen Rastle

In recent studies of political decision-making, apparently anomalous behavior has been observed on the part of voters, in which negative information about a candidate strengthens, rather than weakens, a prior positive opinion about the…

人工智能 · 计算机科学 2013-06-12 William W. Cohen , David P. Redlawsk , Douglas Pierce

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

数据分析、统计与概率 · 物理学 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier