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Proximal causal inference provides a framework for estimating the average treatment effect (ATE) in the presence of unmeasured confounding by leveraging outcome and treatment proxies. Identification in this framework relies on the existence…

统计方法学 · 统计学 2025-12-29 Chunrong Ai , Jiawei Shan

We study the excess minimum risk in statistical inference, defined as the difference between the minimum expected loss in estimating a random variable from an observed feature vector and the minimum expected loss in estimating the same…

信息论 · 计算机科学 2023-09-29 László Györfi , Tamás Linder , Harro Walk

The multivariable fractional polynomial (MFP) procedure combines variable selection with a function selection procedure (FSP). For continuous variables, a closed test procedure is used to decide between no effect, linear, FP1 or FP2…

统计方法学 · 统计学 2022-09-21 Willi Sauerbrei , Edwin Kipruto , James Balmford

One of the goals of causal inference is to generalize from past experiments and observational data to novel conditions. While it is in principle possible to eventually learn a mapping from a novel experimental condition to an outcome of…

机器学习 · 统计学 2023-11-10 Gecia Bravo-Hermsdorff , David S. Watson , Jialin Yu , Jakob Zeitler , Ricardo Silva

Energy-based models (EBMs) are a powerful class of probabilistic generative models due to their flexibility and interpretability. However, relationships between potential flows and explicit EBMs remain underexplored, while contrastive…

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

统计方法学 · 统计学 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

This paper discusses predictive inference and feature selection for generalized linear models with scarce but high-dimensional data. We argue that in many cases one can benefit from a decision theoretically justified two-stage approach:…

机器学习 · 统计学 2020-11-09 Juho Piironen , Markus Paasiniemi , Aki Vehtari

To evaluate models as hypotheses, we developed the method of Flux Mapping to construct a hypothesis space based on dominant runoff generating mechanisms. Acceptable model runs, defined as total simulated flow with similar (and minimal)…

统计方法学 · 统计学 2020-09-03 Sina Khatami , Timothy John Peterson , Murray C Peel , Andrew Western

Spatial and temporal features are studied with respect to their predictive value for failure time prediction in subcritical failure with machine learning (ML). Data are generated from simulations of a novel, brittle random fuse model (RFM),…

材料科学 · 物理学 2022-08-16 Stefan Hiemer , Paolo Moretti , Stefano Zapperi , Michael Zaiser

The use of standard statistical methods, such as maximum likelihood, is often justified based on their asymptotic properties. For suitably regular models, this theory is standard but, when the model is non-regular, e.g., the support depends…

统计方法学 · 统计学 2016-08-25 Ryan Martin , Yi Lin

Inference models are a key component in scaling variational inference to deep latent variable models, most notably as encoder networks in variational auto-encoders (VAEs). By replacing conventional optimization-based inference with a…

机器学习 · 计算机科学 2018-07-26 Joseph Marino , Yisong Yue , Stephan Mandt

In competitive industries, a reliable yield forecasting is a prime factor to accurately determine the production costs and therefore ensure profitability. Indeed, quantifying the risks long before the effective manufacturing process enables…

统计理论 · 数学 2013-12-06 Julie Oger , Emmanuel Lesigne , Philippe Leduc

We present a general method for deriving collapsed variational inference algo- rithms for probabilistic models in the conjugate exponential family. Our method unifies many existing approaches to collapsed variational inference. Our…

机器学习 · 计算机科学 2012-12-05 James Hensman , Magnus Rattray , Neil D. Lawrence

Urban flood risk emerges from complex and nonlinear interactions among multiple features related to flood hazard, flood exposure, and social and physical vulnerabilities, along with the complex spatial flood dependence relationships.…

机器学习 · 计算机科学 2025-08-08 Kai Yin , Junwei Ma , Ali Mostafavi

To identify the estimand in missing data problems and observational studies, it is common to base the statistical estimation on the "missing at random" and "no unmeasured confounder" assumptions. However, these assumptions are unverifiable…

统计方法学 · 统计学 2018-10-09 Qingyuan Zhao , Dylan S. Small , Bhaswar B. Bhattacharya

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

计量经济学 · 经济学 2025-04-24 Luther Yap

We propose an adversarial evaluation framework for sensitive feature inference based on minimum mean-squared error (MMSE) estimation with a finite sample size and linear predictive models. Our approach establishes theoretical lower bounds…

机器学习 · 统计学 2025-05-15 Monica Welfert , Nathan Stromberg , Mario Diaz , Lalitha Sankar

Latent variable models (LVMs) with discrete compositional latents are an important but challenging setting due to a combinatorially large number of possible configurations of the latents. A key tradeoff in modeling the posteriors over…

机器学习 · 计算机科学 2023-06-06 Edward J. Hu , Nikolay Malkin , Moksh Jain , Katie Everett , Alexandros Graikos , Yoshua Bengio

We show how the notion of message passing can be used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models. In particular, this approach is amenable to handling…

统计方法学 · 统计学 2016-04-07 M. P. Wand

Probabilistic models analyze data by relying on a set of assumptions. Data that exhibit deviations from these assumptions can undermine inference and prediction quality. Robust models offer protection against mismatch between a model's…

机器学习 · 统计学 2018-06-20 Yixin Wang , Alp Kucukelbir , David M. Blei