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We provide a new flexible framework for inference with the instrumental variable model. Rather than using linear specifications, functions characterizing the effects of instruments and other explanatory variables are estimated using machine…

Machine Learning · Statistics 2021-02-03 Robert E. McCulloch , Rodney A. Sparapani , Brent R. Logan , Purushottam W. Laud

Structured additive distributional regression models offer a versatile framework for estimating complete conditional distributions by relating all parameters of a parametric distribution to covariates. Although these models efficiently…

Methodology · Statistics 2023-11-14 Jana Kleinemeier , Nadja Klein

Uniform asymptotic confidence bands for a multivariate regression function in an inverse regression model with a convolution-type operator are constructed. The results are derived using strong approximation methods and a limit theorem for…

Statistics Theory · Mathematics 2015-04-08 Katharina Proksch , Nicolai Bissantz , Holger Dette

Instrumental variables (IV) are a useful tool for estimating causal effects in the presence of unmeasured confounding. IV methods are well developed for uncensored outcomes, particularly for structural linear equation models, where simple…

Methodology · Statistics 2019-02-01 Behzad Kianian , Jung In Kim , Jason P. Fine , Limin Peng

We propose a novel Bayesian heteroskedastic Markov-switching structural vector autoregression with data-driven time-varying identification. The model selects among alternative patterns of exclusion restrictions to identify structural shocks…

Econometrics · Economics 2025-02-28 Annika Camehl , Tomasz Woźniak

Constraint-based methods are one of the main approaches for causal structure learning that are particularly valued as they are asymptotically guaranteed to find a structure that is Markov equivalent to the causal graph of the system. On the…

Machine Learning · Computer Science 2021-05-24 Ehsan Mokhtarian , Sina Akbari , AmirEmad Ghassami , Negar Kiyavash

In multiple testing scenarios, typically the sign of a parameter is inferred when its estimate exceeds some significance threshold in absolute value. Typically, the significance threshold is chosen to control the experimentwise type I error…

Methodology · Statistics 2018-01-03 Chaoyu Yu , Peter D. Hoff

We consider multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles and the problem of reconstructing them from samples taken on a random periodic set. We show that such a…

Functional Analysis · Mathematics 2023-10-13 Jorge Antezana , Diana Carbajal , José Luis Romero

Analysts often make visual causal inferences about possible data-generating models. However, visual analytics (VA) software tends to leave these models implicit in the mind of the analyst, which casts doubt on the statistical validity of…

Human-Computer Interaction · Computer Science 2021-07-29 Alex Kale , Yifan Wu , Jessica Hullman

It is crucial for robots to be aware of the presence of constraints in order to acquire safe policies. However, explicitly specifying all constraints in an environment can be a challenging task. State-of-the-art constraint inference…

Robotics · Computer Science 2024-03-06 Dimitris Papadimitriou , Daniel S. Brown

Inner product-based decoders are among the most influential frameworks used to extract meaningful data from latent embeddings. However, such decoders have shown limitations in representation capacity in numerous works within the literature,…

Machine Learning · Computer Science 2024-05-21 Su Hyeong Lee , Qingqi Zhang , Risi Kondor

We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

Variational inference has been widely used in machine learning literature to fit various Bayesian models. In network analysis, this method has been successfully applied to solve the community detection problems. Although these results are…

Machine Learning · Statistics 2024-05-22 Xuezhen Li , Can M. Le

Variable selection is an important statistical problem. This problem becomes more challenging when the candidate predictors are of mixed type (e.g. continuous and binary) and impact the response variable in nonlinear and/or non-additive…

Methodology · Statistics 2021-12-30 Chuji Luo , Michael J. Daniels

This paper studies the threshold estimation of a TAR model when the underlying threshold parameter is a random variable. It is shown that the Bayesian estimator is consistent and its limit distribution is expressed in terms of a limit…

Statistics Theory · Mathematics 2010-03-22 Ngai Hang Chan , Yury A. Kutoyants

While artificial neural networks excel in unsupervised learning of non-sparse structure, classical statistical regression techniques offer better interpretability, in particular when sparseness is enforced by $\ell_1$ regularization,…

It is common practice to collect observations of feature and response pairs from different environments. A natural question is how to identify features that have consistent prediction power across environments. The invariant causal…

Information Theory · Computer Science 2022-07-01 Austin Goddard , Yu Xiang , Ilya Soloveychik

The paper provides a parametrization of Vector Autoregression (VAR) that enables one to look at the parameters associated with unit root dynamics and those associated with stable dynamics separately. The task is achieved via a novel…

Methodology · Statistics 2021-04-07 Anindya Roy , Tucker S. McElroy

Model misspecification in multivariate econometric models can strongly influence estimates of quantities of interest such as structural parameters, forecast distributions or responses to structural shocks, even more so if higher-order…

Econometrics · Economics 2025-09-09 Florian Huber , Massimiliano Marcellino , Tobias Scheckel

Under stringent model type and variable distribution assumptions, differentiable score-based causal discovery methods learn a directed acyclic graph (DAG) from observational data by evaluating candidate graphs over an average score…

Machine Learning · Computer Science 2023-03-07 An Zhang , Fangfu Liu , Wenchang Ma , Zhibo Cai , Xiang Wang , Tat-seng Chua