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Laser-plasma based experiments are always more demanding about the plasma features which need to be generated during the interaction. This is valid for laser-plasma acceleration as well as for inertial confinement fusion experiments. Most…

Plasma Physics · Physics 2025-09-03 F. Filippi , M. Cipriani , S. Mastrostefano , M. Scisciò , F. Consoli

This paper presents a complete Pascal interpolation scheme for use in the plane geometry mapping applied in association with numerical methods. The geometry of a domain element is approximated by a complete Pascal polynomial. The…

Numerical Analysis · Computer Science 2019-03-11 Sulaiman Y. Abo Diab

In this paper, we present a new deep learning architecture for addressing the problem of supervised learning with sparse and irregularly sampled multivariate time series. The architecture is based on the use of a semi-parametric…

Machine Learning · Computer Science 2019-09-18 Satya Narayan Shukla , Benjamin M. Marlin

In CAGD the design of a surface that interpolates an arbitrary quadrilateral mesh is definitely a challenging task. The basic requirement is to satisfy both criteria concerning the regularity of the surface and aesthetic concepts. With…

Numerical Analysis · Mathematics 2016-01-08 Michele Antonelli , Carolina Vittoria Beccari , Giulio Casciola

We propose the first deep learning solution to video frame inpainting, a challenging instance of the general video inpainting problem with applications in video editing, manipulation, and forensics. Our task is less ambiguous than frame…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Ximeng Sun , Ryan Szeto , Jason J. Corso

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

Machine Learning · Statistics 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

In this paper, we discuss a novel model reduction framework for generalized linear systems. The transfer functions of these systems are assumed to have a special structure, e.g., coming from second-order linear systems and time-delay…

Numerical Analysis · Mathematics 2019-10-31 Peter Benner , Pawan Goyal , Igor Pontes Duff

Design-space dimensionality reduction is essential to mitigate the cost of high-fidelity simulation-based optimization, especially when dealing with high-dimensional geometric parameterizations. Traditional linear techniques, such as…

Optimization and Control · Mathematics 2025-07-23 Andrea Serani , Giorgio Palma , Jeroen Wackers , Domenico Quagliarella , Stefano Gaggero , Matteo Diez

Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we present a method to obtain a global parametric model based on…

Dynamical Systems · Mathematics 2024-06-04 Art J. R. Pelling , Karim Cherifi , Ion Victor Gosea , Ennes Sarradj

Neural rendering methods have gained significant attention for their ability to reconstruct 3D scenes from 2D images. The core idea is to take multiple views as input and optimize the reconstructed scene by minimizing the uncertainty in…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Yezhi Shen , Qiuchen Zhai , Fengqing Zhu

Variational regularization of ill-posed inverse problems is based on minimizing the sum of a data fidelity term and a regularization term. The balance between them is tuned using a positive regularization parameter, whose automatic choice…

Numerical Analysis · Mathematics 2025-11-12 Markus Juvonen , Bjørn Jensen , Ilmari Pohjola , Yiqiu Dong , Samuli Siltanen

Solving semiparametric models can be computationally challenging because the dimension of parameter space may grow large with increasing sample size. Classical Newton's method becomes quite slow and unstable with intensive calculation of…

Computation · Statistics 2021-08-19 Yucong Lin , Jinhua Su , Yang Liu , Jue Hou , Feifei Wang

Parametric Computer-aided design (CAD) enables the creation of reusable models by integrating variables into geometric properties, facilitating customization without a complete redesign. However, creating parametric designs in…

Human-Computer Interaction · Computer Science 2024-08-06 J. Felipe Gonzalez , Thomas Pietrzak , Audrey Girouard , Géry Casiez

We propose POLAR, a novel radar-guided depth estimation method that introduces polynomial fitting to efficiently transform scaleless depth predictions from pretrained monocular depth estimation (MDE) models into metric depth maps. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Patrick Rim , Hyoungseob Park , Vadim Ezhov , Jeffrey Moon , Alex Wong

ParaDime is a framework for parametric dimensionality reduction (DR). In parametric DR, neural networks are trained to embed high-dimensional data items in a low-dimensional space while minimizing an objective function. ParaDime builds on…

Machine Learning · Computer Science 2023-05-31 Andreas Hinterreiter , Christina Humer , Bernhard Kainz , Marc Streit

This paper considers binary classification of high-dimensional features under a postulated model with a low-dimensional latent Gaussian mixture structure and non-vanishing noise. A generalized least squares estimator is used to estimate the…

Machine Learning · Statistics 2023-03-30 Xin Bing , Marten Wegkamp

Hyperparameter optimization (HPO) is important to leverage the full potential of machine learning (ML). In practice, users are often interested in multi-objective (MO) problems, i.e., optimizing potentially conflicting objectives, like…

Machine Learning · Computer Science 2024-01-12 Joseph Giovanelli , Alexander Tornede , Tanja Tornede , Marius Lindauer

The interpretation of observations of atomic and molecular tracers in the galactic and extragalactic interstellar medium (ISM) requires comparisons with state-of-the-art astrophysical models to infer some physical conditions. Usually, ISM…

In many geoscientific applications, multiple noisy observations of different origin need to be combined to improve the reconstruction of a common underlying quantity. This naturally leads to multi-parameter models for which adequate…

Numerical Analysis · Mathematics 2015-07-09 C. Gerhards , S. Pereverzyev , P. Tkachenko

A novel static algorithm is proposed for numerical reparametrization of periodic planar curves. The method identifies a monitor function of the arclength variable with the true curvature of an open planar curve and considers a simple…

Numerical Analysis · Mathematics 2022-03-21 Kazuki Koga
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