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A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

Numerical Analysis · Computer Science 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

Overparameterization and overfitting are common concerns when designing and training deep neural networks, that are often counteracted by pruning and regularization strategies. However, these strategies remain secondary to most learning…

Machine Learning · Computer Science 2020-09-01 Malena Reiners , Kathrin Klamroth , Michael Stiglmayr

In a widely-studied class of multi-parametric optimization problems, the objective value of each solution is an affine function of real-valued parameters. Then, the goal is to provide an optimal solution set, i.e., a set containing an…

Optimization and Control · Mathematics 2021-12-14 Stephan Helfrich , Arne Herzel , Stefan Ruzika , Clemens Thielen

A key problem in multiobjective linear programming is to find the set of all efficient extreme points in objective space. In this paper we introduce oriented projective geometry as an efficient and effective framework for solving this…

Optimization and Control · Mathematics 2010-06-17 Benjamin A. Burton , Melih Ozlen

Utilizing a ray-tracing program, we have modeled the angular resolution of a short focal length (~2m), large field-of-view (3.1 square degrees), grazing incidence mirror shell. It has been previously shown in the literature that the…

Super-resolution imaging aims at improving the resolution of an image by enhancing it with other images or data that might have been acquired using different imaging techniques or modalities. In this paper we consider the task of doubling,…

Data Structures and Algorithms · Computer Science 2018-11-08 Andreas Alpers , Peter Gritzmann

In this brief communication a new method is outlined for modelling magnification patterns on an observer's plane using a first order approximation to the null geodesic path equations for a point mass lens. For each ray emitted from a…

Instrumentation and Methods for Astrophysics · Physics 2017-02-08 S. J. Walters , L. K. Forbes

This paper develops a robust angles-only IROD method based on polynomial optimization for arbitrary nonlinear dynamics. First, the relative motion is approximated by high-order Taylor polynomials within the differential algebra framework,…

Instrumentation and Methods for Astrophysics · Physics 2026-04-28 Xingyu Zhou , Malcolm Macdonald , Roberto Armellin , Dong Qiao , Xiangyu Li

Multidimensional imaging, capturing image data in more than two dimensions, has been an emerging field with diverse applications. Due to the limitation of two-dimensional detectors in obtaining the high-dimensional image data, computational…

Image and Video Processing · Electrical Eng. & Systems 2020-06-16 Didem Dogan , Figen S. Oktem

In a plethora of applications dealing with inverse problems, e.g. in image processing, social networks, compressive sensing, biological data processing etc., the signal of interest is known to be structured in several ways at the same time.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Paris Giampouras , Konstantinos Themelis , Athanasios Rontogiannis , Konstantinos Koutroumbas

This paper present the mathematical fundaments and experimental study of an algorithm used to find the optimal position for the camera lens to obtain a maximum of details. This information can be further applied to a appropriate system to…

Computer Vision and Pattern Recognition · Computer Science 2015-02-24 Radu Arsinte

We evaluate gravitational lensing as a technique for the detection of extrasolar moons. Since 2004 gravitational microlensing has been successfully applied as a detection method for extrasolar planets. In principle, the method is sensitive…

Earth and Planetary Astrophysics · Physics 2014-11-20 Christine Liebig , Joachim Wambsganss

This paper presents a task-oriented computational framework to enhance Visual-Inertial Navigation (VIN) in robots, addressing challenges such as limited time and energy resources. The framework strategically selects visual features using a…

Robotics · Computer Science 2025-10-02 Reza Vafaee , Kian Behzad , Milad Siami , Luca Carlone , Ali Jadbabaie

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems and especially in the case that the objective…

Optimization and Control · Mathematics 2020-03-26 Tran Ngoc Thang , Vijender Kumar Solanki , Tuan Anh Dao , Nguyen Thi Ngoc Anh , Hai V. Pham

Gr{\"o}bner bases is one the most powerful tools in algorithmic non-linear algebra. Their computation is an intrinsically hard problem with a complexity at least single exponential in the number of variables. However, in most of the cases,…

Symbolic Computation · Computer Science 2019-02-04 Matías Bender , Jean-Charles Faugère , Elias Tsigaridas

A wide variety of problems in machine learning, including exemplar clustering, document summarization, and sensor placement, can be cast as constrained submodular maximization problems. A lot of recent effort has been devoted to developing…

Data Structures and Algorithms · Computer Science 2016-08-15 Rafael da Ponte Barbosa , Alina Ene , Huy L. Nguyen , Justin Ward

Weight pruning is a common technique for compressing large neural networks. We focus on the challenging post-training one-shot setting, where a pre-trained model is compressed without any retraining. Existing one-shot pruning methods…

Machine Learning · Computer Science 2026-04-16 Gabriel Afriat , Xiang Meng , Shibal Ibrahim , Hussein Hazimeh , Rahul Mazumder

Challenges inherent to high-resolution and high signal-to-noise data as well as model degeneracies can cause systematic biases in analyses of strong lens systems. In the past decade, the number of lens modeling methods has significantly…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 A. Galan , G. Vernardos , Q. Minor , D. Sluse , L. Van de Vyvere , M. Gomer

The optical resolution of a digital camera is one of its most crucial parameters with broad relevance for consumer electronics, surveillance systems, remote sensing, or medical imaging. However, resolution is physically limited by the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Thomas Köhler
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