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Models with a discrete endogenous variable are typically underidentified when the instrument takes on too few values. This paper presents a new method that matches pairs of covariates and instruments to restore point identification in this…

Econometrics · Economics 2020-07-28 Junlong Feng

We propose an algorithm to construct optimal exact designs (EDs). Most of the work in the optimal regression design literature focuses on the approximate design (AD) paradigm due to its desired properties, including the optimality…

Methodology · Statistics 2024-05-07 Chi-Kuang Yeh , Julie Zhou

Indentation test is used with growing popularity for the characterization of various materials on different scales. Developed methods are combining the test with computer simulation and inverse analyses to assess material parameters…

Computational Physics · Physics 2015-07-14 Vladimir Buljak , Shwetank Pandey

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

Data restoration from degraded observations, of sparsity hypotheses, is an active field of study. Traditional iterative optimization methods are now complemented by deep learning techniques. The development of unfolded methods benefits from…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Mouna Gharbi , Silvia Villa , Emilie Chouzenoux , Jean-Christophe Pesquet , Laurent Duval

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

Materials Science · Physics 2024-08-28 Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa

The growing study of time series, especially those related to nonlinear systems, has challenged the methodologies to characterize and classify dynamical structures of a signal. Here we conceive a new diagnostic tool for time series based on…

Other Statistics · Statistics 2017-07-05 G. Corso , T. L. Prado , G. Z. dos S. Lima , S. R. Lopes

In numerous applications, binary reactions or event counts are observed and stored within high-order tensors. Tensor decompositions (TDs) serve as a powerful tool to handle such high-dimensional and sparse data. However, many traditional…

Machine Learning · Computer Science 2024-01-17 Zerui Tao , Toshihisa Tanaka , Qibin Zhao

Two-point correlation functions provide crucial yet incomplete characterization of microstructures because different microstructures may have the same correlation function. In an earlier Letter [Phys. Rev. Lett. 108, 080601 (2012)], we…

Statistical Mechanics · Physics 2012-05-16 Cedric J. Gommes , Yang Jiao , Salvatore Torquato

Reconstructing accurate surfaces from sparse multi-view images remains challenging due to severe geometric ambiguity and occlusions. Existing generalizable neural surface reconstruction methods primarily rely on cost volumes that summarize…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Xinhai Chang , Kaichen Zhou

Microstructure reconstruction, a major component of inverse computational materials engineering, is currently advancing at an unprecedented rate. While various training-based and training-free approaches are developed, the majority of…

Materials Science · Physics 2022-11-28 Christian Düreth , Paul Seibert , Dennis Rücker , Stephanie Handford , Markus Kästner , Maik Gude

Micro-seismic events, naturally occurring within geological formations and quasi-brittle engineered systems, provide a powerful window into the evolving processes of material degradation and failure. Accurate characterization of these…

Geophysics · Physics 2024-01-18 A. A. M. da Silva , A. A. Novotnty , A. A. S. Amad , B. B. Guzina

An important problem in the analysis of high-dimensional omics data is to identify subsets of molecular variables that are associated with a phenotype of interest. This requires addressing the challenges of high dimensionality, strong…

Methodology · Statistics 2022-04-05 Fan Wang , Sylvia Richardson , Steven M. Hill

Structural entropy is a metric that measures the amount of information embedded in graph structure data under a strategy of hierarchical abstracting. To measure the structural entropy of a dynamic graph, we need to decode the optimal…

Information Theory · Computer Science 2024-06-28 Runze Yang , Hao Peng , Chunyang Liu , Angsheng Li

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

Data Analysis, Statistics and Probability · Physics 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

Structured illumination microscopy (SIM) improves resolution by down-modulating high-frequency information of an object to fit within the passband of the optical system. Generally, the reconstruction process requires prior knowledge of the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Li-Hao Yeh , Lei Tian , Laura Waller

Segmenting internal structure from echocardiography is essential for the diagnosis and treatment of various heart diseases. Semi-supervised learning shows its ability in alleviating annotations scarcity. While existing semi-supervised…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Xiaoxiang Han , Yiman Liu , Jiang Shang , Qingli Li , Jiangang Chen , Menghan Hu , Qi Zhang , Yuqi Zhang , Yan Wang

The inverse problem of electrical impedance tomography is severely ill-posed, meaning that, only limited information about the conductivity can in practice be recovered from boundary measurements of electric current and voltage. Recently it…

Analysis of PDEs · Mathematics 2018-09-20 Henrik Garde , Stratos Staboulis

We focus on a multidimensional field with uncorrelated spectrum, and study the quality of the reconstructed signal when the field samples are irregularly spaced and affected by independent and identically distributed noise. More…

Information Theory · Computer Science 2009-11-13 A. Nordio , C-F. Chiasserini , E. Viterbo

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
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