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The Dirichlet process (DP) is a fundamental mathematical tool for Bayesian nonparametric modeling, and is widely used in tasks such as density estimation, natural language processing, and time series modeling. Although MCMC inference…

Machine Learning · Statistics 2013-04-09 Dan Lovell , Jonathan Malmaud , Ryan P. Adams , Vikash K. Mansinghka

The recent 21st Century Cures Act propagates innovations to accelerate the discovery, development, and delivery of 21st century cures. It includes the broader application of Bayesian statistics and the use of evidence from clinical…

Applications · Statistics 2020-02-10 Satrajit Roychoudhury , Beat Neuenschwander

Spontaneous reporting system databases are key resources for post-marketing surveillance, providing real-world evidence (RWE) on the adverse events (AEs) of regulated drugs or other medical products. Various statistical methods have been…

Methodology · Statistics 2026-03-24 Xin-Wei Huang , Saptarshi Chakraborty

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

This paper presents a method for Bayesian multi-robot peer-to-peer data fusion where any pair of autonomous robots hold non-identical, but overlapping parts of a global joint probability distribution, representing real world inference tasks…

Robotics · Computer Science 2023-03-07 Ofer Dagan , Nisar R. Ahmed

We propose a Bayesian nonparametric mixture model for the reconstruction and prediction from observed time series data, of discretized stochastic dynamical systems, based on Markov Chain Monte Carlo methods (MCMC). Our results can be used…

Applications · Statistics 2017-10-03 Christos Merkatas , Konstantinos Kaloudis , Spyridon J. Hatjispyros

In the analysis of observational data in social sciences and businesses, it is difficult to obtain a "(quasi) single-source dataset" in which the variables of interest are simultaneously observed. Instead, multiple-source datasets are…

Methodology · Statistics 2021-09-02 Masaki Mitsuhiro , Takahiro Hoshino

Control of complex turbulent dynamical systems involving strong nonlinearity and high degrees of internal instability is an important topic in practice. Different from traditional methods for controlling individual trajectories, controlling…

Dynamical Systems · Mathematics 2023-07-31 Jeffrey Covington , Di Qi , Nan Chen

Statistical calibration where the curve is nonlinear is important in many areas, such as analytical chemistry and radiometry. Especially in radiometry, instrument characteristics change over time, thus calibration is a process that must be…

Applications · Statistics 2014-11-14 Derick L. Rivers , Edward L. Boone

In the usual Bayesian setting, a full probabilistic model is required to link the data and parameters, and the form of this model and the inference and prediction mechanisms are specified via de Finetti's representation. In general, such a…

Methodology · Statistics 2026-01-21 Yu Luo , David A. Stephens , Daniel J. Graham , Emma J. McCoy

This paper presents an approximate method for performing Bayesian inference in models with conditional independence over a decentralized network of learning agents. The method first employs variational inference on each individual learning…

Machine Learning · Computer Science 2014-06-13 Trevor Campbell , Jonathan P. How

Historical data about disease outcomes can be integrated into the analysis of clinical trials in many ways. We build on existing literature that uses prognostic scores from a predictive model to increase the efficiency of treatment effect…

Methodology · Statistics 2020-12-25 David Walsh , Alejandro Schuler , Diana Hall , Jon Walsh , Charles Fisher

We develop dependent hierarchical normalized random measures and apply them to dynamic topic modeling. The dependency arises via superposition, subsampling and point transition on the underlying Poisson processes of these measures. The…

Machine Learning · Computer Science 2012-06-22 Changyou Chen , Nan Ding , Wray Buntine

We introduce a sparse high-dimensional regression approach that can incorporate prior information on the regression parameters and can borrow information across a set of similar datasets. Prior information may for instance come from…

We study distributed output feedback control for a heterogeneous multi-agent system (MAS), consisting of N different continuous-time linear dynamical systems. For achieving output consensus, a virtual reference model is assumed to generate…

Optimization and Control · Mathematics 2016-10-31 Luis D. Alvergue , Abhishek Pandey , Guoxiang Gu , Xiang Chen

Research in oncology has changed the focus from histological properties of tumors in a specific organ to a specific genomic aberration potentially shared by multiple cancer types. This motivates the basket trial, which assesses the efficacy…

Applications · Statistics 2020-02-11 Jin Jin , Marie-Karelle Riviere , Xiaodong Luo , Yingwen Dong

This paper studies the identification of causal effects of a continuous treatment using a new difference-in-difference strategy. Our approach allows for endogeneity of the treatment, and employs repeated cross-sections. It requires an…

Econometrics · Economics 2023-04-18 Xavier D'Haultfoeuille , Stefan Hoderlein , Yuya Sasaki

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

Computation · Statistics 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

Datasets with hundreds of variables and many missing values are commonplace. In this setting, it is both statistically and computationally challenging to detect true predictive relationships between variables and also to suppress false…

Machine Learning · Statistics 2018-04-03 Feras Saad , Vikash Mansinghka

Randomized controlled clinical trials provide the gold standard for evidence generation in relation to the efficacy of a new treatment in medical research. Relevant information from previous studies may be desirable to incorporate in the…

Methodology · Statistics 2024-05-29 Lou E. Whitehead , James M. S. Wason , Oliver Sailer , Haiyan Zheng