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In this paper we consider the problem of inference in statistical models characterized by moment restrictions by casting the problem within the Exponentially Tilted Empirical Likelihood (ETEL) framework. Because the ETEL function has a well…

Methodology · Statistics 2017-04-10 Siddhartha Chib , Minchul Shin , Anna Simoni

Multitype branching processes with immigration in one type are used to model the dynamics of stage-structured plant populations. Parametric inference is first carried out when count data of all types are observed. Statistical…

Applications · Statistics 2009-02-27 Catherine Laredo , Olivier David , Aurélie Garnier

This article describes posterior maximization for topic models, identifying computational and conceptual gains from inference under a non-standard parametrization. We then show that fitted parameters can be used as the basis for a novel…

Applications · Statistics 2011-12-30 Matthew A. Taddy

The paper studies coincidence points of parameterized set-valued mappings (multifunctions), which provide an extended framework to cover several important topics in variational analysis and optimization that include the existence of…

Optimization and Control · Mathematics 2022-03-23 Aram V. Arutyunov , Boris S. Mordukhovich , Sergey E. Zhukovskiy

Prior specification for nonparametric Bayesian inference involves the difficult task of quantifying prior knowledge about a parameter of high, often infinite, dimension. Realistically, a statistician is unlikely to have informed opinions…

Methodology · Statistics 2012-05-01 David C. Kessler , Peter D. Hoff , David B. Dunson

In this work we consider the task of relaxing the i.i.d assumption in pattern recognition (or classification), aiming to make existing learning algorithms applicable to a wider range of tasks. Pattern recognition is guessing a discrete…

Machine Learning · Computer Science 2012-02-28 Daniil Ryabko

We investigate how to learn treatment effects away from the cutoff in multiple-cutoff regression discontinuity designs. Using a microeconomic model, we demonstrate that the parallel-trend type assumption proposed in the literature is…

Econometrics · Economics 2025-09-03 Yuta Okamoto , Yuuki Ozaki

Deep learning is a topic of considerable current interest. The availability of massive data collections and powerful software resources has led to an impressive amount of results in many application areas that reveal essential but hidden…

Machine Learning · Computer Science 2023-01-31 Gianluigi Pillonetto , Aleksandr Aravkin , Daniel Gedon , Lennart Ljung , Antônio H. Ribeiro , Thomas B. Schön

This article is a review of theoretical advances in the research field of algebraic geometry and Bayesian statistics in the last two decades. Many statistical models and learning machines which contain hierarchical structures or latent…

Statistics Theory · Mathematics 2022-11-21 Sumio Watanabe

Handling missing values in training datasets for constructing learning models or extracting useful information is considered to be an important research task in data mining and knowledge discovery in databases. In recent years, lot of…

Databases · Computer Science 2009-04-22 Shariq Bashir , Saad Razzaq , Umer Maqbool , Sonya Tahir , Abdul Rauf Baig

Genetic Algorithms have established their capability for solving many complex optimization problems. Even as good solutions are produced, the user's understanding of a problem is not necessarily improved, which can lead to a lack of…

Neural and Evolutionary Computing · Computer Science 2024-07-10 GianCarlo Catalano , Alexander E. I. Brownlee , David Cairns , John McCall , Russell Ainslie

There has been growing interest in recent years in Q-matrix based cognitive diagnosis models. Parameter estimation and respondent classification under these models may suffer due to identifiability issues. Non-identifiability can be…

Methodology · Statistics 2013-03-05 Stephanie S. Zhang , Lawrence T. DeCarlo , Zhiliang Ying

Conjoint analysis is a popular experimental design used to measure multidimensional preferences. Researchers examine how varying a factor of interest, while controlling for other relevant factors, influences decision-making. Currently,…

Methodology · Statistics 2024-11-20 Dae Woong Ham , Kosuke Imai , Lucas Janson

Statistical inference with nonresponse is quite challenging, especially when the response mechanism is nonignorable. The existing methods often require correct model specifications for both outcome and response models. However, due to…

Methodology · Statistics 2018-09-12 Hejian Sang , Kosuke Morikawa

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

Obtaining guarantees on the convergence of the minimizers of empirical risks to the ones of the true risk is a fundamental matter in statistical learning. Instead of deriving guarantees on the usual estimation error, the goal of this paper…

Statistics Theory · Mathematics 2024-09-12 Paul Escande

In the propositional setting, the marginal problem is to find a (maximum-entropy) distribution that has some given marginals. We study this problem in a relational setting and make the following contributions. First, we compare two…

Artificial Intelligence · Computer Science 2018-04-26 Ondrej Kuzelka , Yuyi Wang , Jesse Davis , Steven Schockaert

Researchers develop models to explain the unknowns. These models typically involve parameters that capture tangible quantities, the estimation of which is desired. Parameter identifiability investigates the recoverability of the unknown…

Optimization and Control · Mathematics 2024-07-01 Anuththara Sarathchandra , Azadeh Aghaeeyan , Pouria Ramazi

Matching plays a vital role in the rational allocation of resources in many areas, ranging from market operation to people's daily lives. In economics, the term matching theory is coined for pairing two agents in a specific market to reach…

Social and Information Networks · Computer Science 2021-03-17 Jing Ren , Feng Xia , Xiangtai Chen , Jiaying Liu , Mingliang Hou , Ahsan Shehzad , Nargiz Sultanova , Xiangjie Kong

Suppose that univariate data are drawn from a mixture of two distributions that are equal up to a shift parameter. Such a model is known to be nonidentifiable from a nonparametric viewpoint. However, if we assume that the unknown mixed…

Statistics Theory · Mathematics 2016-08-16 Laurent Bordes , Stéphane Mottelet , Pierre Vandekerkhove
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