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This paper considers (partial) identification of a variety of counterfactual parameters in binary response models with possibly endogenous regressors. Our framework allows for nonseparable index functions with multi-dimensional latent…

Econometrics · Economics 2022-07-26 Jiaying Gu , Thomas M. Russell

A novel framework is introduced to formalize identifiability in well-specified but ill-posed linear regression models. The framework is distribution-free and accommodates highly correlated features that may or may not relate to the…

Statistics Theory · Mathematics 2026-03-05 Gianluca Finocchio , Tatyana Krivobokova

We consider the following classification problem: Given a population of individuals characterized by a set of attributes represented as a vector in ${\mathbb R}^N$, the goal is to find a hyperplane in ${\mathbb R}^N$ that separates two sets…

Machine Learning · Computer Science 2025-07-04 Argimiro Arratia , Mahmoud El Daou , Henryk Gzyl

Empirical analysis in economics often faces the difficulty that the data is correlated and heterogeneous in some unknown form. Spatial parametric approaches have been widely used to account for dependence structures, but the problem of…

Methodology · Statistics 2017-02-09 Anna Gloria Billé , Roberto Benedetti , Paolo Postiglione

While hidden class models of various types arise in many statistical applications, it is often difficult to establish the identifiability of their parameters. Focusing on models in which there is some structure of independence of some of…

Statistics Theory · Mathematics 2009-09-01 Elizabeth S. Allman , Catherine Matias , John A. Rhodes

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

Parameter identification problems are formulated in a probabilistic language, where the randomness reflects the uncertainty about the knowledge of the true values. This setting allows conceptually easily to incorporate new information, e.g.…

Numerical Analysis · Computer Science 2013-03-19 Bojana V. Rosić , Anna Kučerová , Jan Sýkora , Oliver Pajonk , Alexander Litvinenko , Hermann G. Matthies

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

We develop a general framework for the identification of counterfactual parameters in a class of nonlinear semiparametric panel models with fixed effects and time effects. Our method applies to models for discrete outcomes (e.g., two-way…

Econometrics · Economics 2023-11-07 Irene Botosaru , Chris Muris

This paper studies semiparametric identification of substitution and complementarity patterns between two goods using a panel multinomial choice model with bundles. The model allows the two goods to be either substitutes or complements and…

Econometrics · Economics 2023-04-04 Rui Wang

This paper addresses the problem of anomaly detection in accounting subject association structures, proposing a structured modeling and unsupervised discriminant framework based on graph neural networks. This framework is used to mine…

Machine Learning · Computer Science 2026-04-30 Yuhan Wang , Ruobing Yan , Zhe Su , Hejing Chen , Ningjing Sang , Yunfei Nie

This paper studies the problems of identifiability and estimation in high-dimensional nonparametric latent structure models. We introduce an identifiability theorem that generalizes existing conditions, establishing a unified framework…

Statistics Theory · Mathematics 2025-08-06 Yichen Lyu , Pengkun Yang

This paper proposes a robust method for semiparametric identification and estimation in panel multinomial choice models, where we allow for infinite-dimensional fixed effects that enter into consumer utilities in an additively nonseparable…

Econometrics · Economics 2026-01-06 Wayne Yuan Gao , Ming Li

Learning the unknown causal parameters of a linear structural causal model is a fundamental task in causal analysis. The task, known as the problem of identification, asks to estimate the parameters of the model from a combination of…

Artificial Intelligence · Computer Science 2024-07-18 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

We study the error of linear regression in the face of adversarial attacks. In this framework, an adversary changes the input to the regression model in order to maximize the prediction error. We provide bounds on the prediction error in…

Machine Learning · Statistics 2023-03-29 Antônio H. Ribeiro , Thomas B. Schön

Parameter identifiability is often requisite to the effective application of mathematical models in the interpretation of biological data, however theory applicable to the study of partial differential equations remains limited. We present…

Analysis of PDEs · Mathematics 2025-04-08 Yurij Salmaniw , Alexander P Browning

This paper develops an econometric framework and tools for the identification and inference of a structural parameter in general bunching designs. We present point and partial identification results, which generalize previous approaches in…

Econometrics · Economics 2025-02-07 Myunghyun Song

Many scientific and engineering applications are formulated as inverse problems associated with stochastic models. In such cases the unknown quantities are distributions. The applicability of traditional methods is limited because of their…

Numerical Analysis · Mathematics 2019-10-16 Kailai Xu , Eric Darve

Whilst adversarial attack detection has received considerable attention, it remains a fundamentally challenging problem from two perspectives. First, while threat models can be well-defined, attacker strategies may still vary widely within…

Computer Vision and Pattern Recognition · Computer Science 2021-11-04 Nathan Drenkow , Neil Fendley , Philippe Burlina

The parameters of a linear compartment model are usually estimated from experimental input-output data. A problem arises when infinitely many parameter values can yield the same result; such a model is called unidentifiable. In this case,…

Combinatorics · Mathematics 2016-03-08 Jasmijn A. Baaijens , Jan Draisma
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