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With reference to a binary outcome and a binary mediator, we derive identification bounds for natural effects under a reduced set of assumptions. Specifically, no assumptions about confounding are made that involve the outcome; we only…

Methodology · Statistics 2026-04-03 Marco Doretti , Elena Stanghellini

The study of causal effects in the presence of unmeasured spatially varying confounders has garnered increasing attention. However, a general framework for identifiability, which is critical for reliable causal inference from observational…

Methodology · Statistics 2026-02-27 Tommy Tang , Xinran Li , Bo Li

This paper presents tailor-made neural model structures and two custom fitting criteria for learning dynamical systems. The proposed framework is based on a representation of the system behavior in terms of continuous-time state-space…

Systems and Control · Electrical Eng. & Systems 2021-09-02 Marco Forgione , Dario Piga

We show that identification in a general class of dynamic panel logit models with fixed effects is related to the truncated moment problem from the mathematics literature. We use this connection to show that the identified set for…

Econometrics · Economics 2026-04-06 Christopher Dobronyi , Jiaying Gu , Kyoo il Kim , Thomas M. Russell

This paper develops a unified identification framework for counterfactual analysis in incomplete models characterized by support and moment restrictions. I demonstrate that identifying structural parameters and conducting counterfactual…

Econometrics · Economics 2026-03-10 Lixiong Li

In a nonparametric instrumental regression model, we strengthen the conventional moment independence assumption towards full statistical independence between instrument and error term. This allows us to prove identification results and…

Econometrics · Economics 2019-06-13 Isaac Loh

We present a new approach that bridges binary analysis techniques with machine learning classification for the purpose of providing a static and generic evaluation technique for opaque predicates, regardless of their constructions. We use…

Cryptography and Security · Computer Science 2019-09-05 Ramtine Tofighi-Shirazi , Irina Asăvoae , Philippe Elbaz-Vincent , Thanh-Ha Le

Mixture models have been widely used in modeling of continuous observations. For the possibility to estimate the parameters of a mixture model consistently on the basis of observations from the mixture, identifiability is a necessary…

Probability · Mathematics 2014-07-02 ZiQiang Shi , TieRan Zheng , JiQing Han

The condition of parameter identifiability is essential for the consistency of all estimators and is often challenging to prove. As a consequence, this condition is often assumed for simplicity although this may not be straightforward to…

Statistics Theory · Mathematics 2016-07-21 Stéphane Guerrier , Roberto Molinari

Probabilistic model checking for systems with large or unbounded state space is a challenging computational problem in formal modelling and its applications. Numerical algorithms require an explicit representation of the state space, while…

Logic in Computer Science · Computer Science 2018-06-12 Dimitrios Milios , Guido Sanguinetti , David Schnoerr

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

Econometrics · Economics 2026-05-20 Martin Huber , Jannis Kueck

We study the identification of causal effects in the presence of different types of constraints (e.g., logical constraints) in addition to the causal graph. These constraints impose restrictions on the models (parameterizations) induced by…

Artificial Intelligence · Computer Science 2025-10-15 Yizuo Chen , Adnan Darwiche

Feedback optimization has emerged as an effective strategy for steady-state optimization of dynamical systems. By exploiting models of the steady-state input-output sensitivity, methods of this type are often sample efficient, and their use…

Optimization and Control · Mathematics 2025-09-17 Kristian Lindbäck Løvland , Lars Struen Imsland , Bjarne Grimstad

In high dimensional analysis, effects of explanatory variables on responses sometimes rely on certain exposure variables, such as time or environmental factors. In this paper, to characterize the importance of each predictor, we utilize its…

Methodology · Statistics 2018-04-11 Yeqing Zhou , Jingyuan Liu , Zhihui Hao , Liping Zhu

Linear mixture models have proven very useful in a plethora of applications, e.g., topic modeling, clustering, and source separation. As a critical aspect of the linear mixture models, identifiability of the model parameters is…

Machine Learning · Computer Science 2021-02-24 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Kejun Huang

This article presents identification results for the marginal treatment effect (MTE) when there is sample selection. We show that the MTE is partially identified for individuals who are always observed regardless of treatment, and derive…

Econometrics · Economics 2021-12-15 Otávio Bartalotti , Désiré Kédagni , Vitor Possebom

The goal of confidence-set learning in the binary classification setting is to construct two sets, each with a specific probability guarantee to cover a class. An observation outside the overlap of the two sets is deemed to be from one of…

Machine Learning · Statistics 2018-10-01 Wenbo Wang , Xingye Qiao

Suppose one wishes to estimate the effect of a binary treatment on a binary endpoint conditional on a post-randomization quantity in a counterfactual world in which all subjects received treatment. It is generally difficult to identify this…

Methodology · Statistics 2019-11-12 Alex Luedtke , Jiacheng Wu

We highlight that match fixed effects, represented by the coefficients of interaction terms involving dummy variables for two elements, lack identification without specific restrictions on parameters. Consequently, the coefficients…

Econometrics · Economics 2024-08-22 Suguru Otani , Tohya Sugano

This paper studies system identification of high-dimensional ARMA models with binary-valued observations. The existing paper can only deal with the case where the regression term is only one-dimensional. In this paper, the ARMA model with…

Optimization and Control · Mathematics 2024-10-29 Xin Li , Ting Wang , Jin Guo , Yanlong Zhao
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