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Approving and assessing new drugs is complex because multiple criteria must be considered simultaneously. A common approach is benefit-risk analysis, often conducted within a Bayesian framework to account for uncertainty and combine data…

Due to spatial dependence -- often characterized as complex and non-linear -- model misspecification is a prevalent and critical issue in spatial data analysis and prediction. As the data, and thus model performance, is heterogeneous,…

Quantifying cause and effect relationships is an important problem in many domains. The gold standard solution is to conduct a randomised controlled trial. However, in many situations such trials cannot be performed. In the absence of such…

Methodology · Statistics 2023-01-19 Jakob Zeitler , Athanasios Vlontzos , Ciaran M. Gilligan-Lee

Bayesian Networks (BN) provide robust probabilistic methods of reasoning under uncertainty, but despite their formal grounds are strictly based on the notion of conditional dependence, not much attention has been paid so far to their use in…

Artificial Intelligence · Computer Science 2013-01-30 Luigi Portinale , Andrea Bobbio

Bayesian inference for survival regression modeling offers numerous advantages, especially for decision-making and external data borrowing, but demands the specification of the baseline hazard function, which may be a challenging task. We…

Bayesian inference often faces a trade-off between computational speed and sampling accuracy. We propose an adaptive workflow that integrates rapid amortized inference with gold-standard MCMC techniques to achieve a favorable combination of…

Machine Learning · Computer Science 2026-02-19 Chengkun Li , Aki Vehtari , Paul-Christian Bürkner , Stefan T. Radev , Luigi Acerbi , Marvin Schmitt

Synthetic control is a causal inference tool used to estimate the treatment effects of an intervention by creating synthetic counterfactual data. This approach combines measurements from other similar observations (i.e., donor pool ) to…

Machine Learning · Computer Science 2023-03-27 Saeyoung Rho , Rachel Cummings , Vishal Misra

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

Methodology · Statistics 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

The use of synthetic data to deidentify data and to improve predictive models is well-attested to. The augmentation of datasets using synthetically generated data is an alluring proposition: in the best case, it generates realistic data…

Methodology · Statistics 2026-03-20 Reid Dale , Jordan Rodu , Mike Baiocchi

Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu

The celebrated Bernstein von-Mises theorem ensures that credible regions from Bayesian posterior are well-calibrated when the model is correctly-specified, in the frequentist sense that their coverage probabilities tend to the nominal…

Methodology · Statistics 2021-09-17 Rong Tang , Yun Yang

Scientific claims gain credibility by replicability, especially if replication under different circumstances and varying designs yields equivalent results. Aggregating results over multiple studies is, however, not straightforward, and when…

Methodology · Statistics 2023-12-27 Thom Benjamin Volker , Irene Klugkist

The synthetic control method estimates the causal effect by comparing the treated unit's outcomes to a weighted average of control units that closely match its pre-treatment outcomes, assuming the relationship between treated and control…

Methodology · Statistics 2026-01-07 Taehyeon Koo , Zijian Guo

Bivariate count data arise in several different disciplines (epidemiology, marketing, sports statistics, etc., to name but a few) and the bivariate Poisson distribution which is a generalization of the Poisson distribution plays an…

Methodology · Statistics 2023-01-12 Barry C. Arnold , Indranil Ghosh

We introduce a new empirical Bayes approach for large-scale multiple linear regression. Our approach combines two key ideas: (i) the use of flexible "adaptive shrinkage" priors, which approximate the nonparametric family of scale mixture of…

Methodology · Statistics 2024-06-13 Youngseok Kim , Wei Wang , Peter Carbonetto , Matthew Stephens

This paper addresses the problem of data-driven computation of controllers that are correct by design for safety-critical systems and can provably satisfy (complex) functional requirements. With a focus on continuous-space stochastic…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

Large Language Models (LLMs) offer a flexible means to generate synthetic tabular data, yet existing approaches often fail to preserve key causal parameters such as the average treatment effect (ATE). In this technical exploration, we first…

Machine Learning · Computer Science 2025-11-04 Dana Kim , Yichen Xu , Tiffany Lin

Difference-in-Differences (DiD) and Synthetic Control (SC) are widely used methods for causal inference in panel data, each with distinct strengths and limitations. We propose a novel method for short-panel causal inference that integrates…

Econometrics · Economics 2025-09-26 Yixiao Sun , Haitian Xie , Yuhang Zhang

This article is motivated by the problem of inference on interactions among chemical exposures impacting human health outcomes. Chemicals often co-occur in the environment or in synthetic mixtures and as a result exposure levels can be…

Methodology · Statistics 2020-01-09 Federico Ferrari , David B Dunson

Variational inference is increasingly being addressed with stochastic optimization. In this setting, the gradient's variance plays a crucial role in the optimization procedure, since high variance gradients lead to poor convergence. A…

Machine Learning · Computer Science 2020-10-23 Tomas Geffner , Justin Domke
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