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We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of…

Numerical Analysis · Mathematics 2022-09-29 Omar Khalil , Hany El-Sharkawy , Maha Youssef , Gerd Baumann

This paper presents a novel algorithm that utilizes a 2D floorplan to align panorama RGBD scans. While effective panorama RGBD alignment techniques exist, such a system requires extremely dense RGBD image sampling. Our approach can…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Erik Wijmans , Yasutaka Furukawa

We propose a novel direct transcription and solution method for solving nonlinear, continuous-time dynamic optimization problems. Instead of forcing the dynamic constraints to be satisfied only at a selected number of points as in direct…

Optimization and Control · Mathematics 2022-01-25 Yuanbo Nie , Eric C. Kerrigan

We consider the problem of layering general directed graphs under height and possibly also width constraints. Given a directed graph G = (V,A) and a maximal height, we propose a layering approach that minimizes a weighted sum of the number…

Data Structures and Algorithms · Computer Science 2016-09-08 Adalat Jabrayilov , Sven Mallach , Petra Mutzel , Ulf Rüegg , Reinhard von Hanxleden

We propose new linear combinations of compositions of a basic second-order scheme with appropriately chosen coefficients to construct higher order numerical integrators for differential equations. They can be considered as a generalization…

Numerical Analysis · Mathematics 2024-04-25 Sergio Blanes , Fernando Casas , Luke Shaw

In this paper we extend previous results on convergent perturbative solutions of the Schroedinger equation of a class of periodically time-dependent two-level systems. The situation treated here is particularly suited for the investigation…

Mathematical Physics · Physics 2015-06-26 J. C. A. Barata , D. A. Cortez

In real-world, many problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns, especially in the field of computer vision. Recently, the…

Machine Learning · Computer Science 2018-11-20 Hu Ding , Mingquan Ye

We address the challenge of applying existing convolutional neural network (CNN) architectures to compressed images. Existing CNN architectures represent images as a matrix of pixel intensities with a specified dimension; this desired…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Christopher A. George , Bradley M. West

Due to the limited connectivity of gate model quantum devices, logical quantum circuits must be compiled to target hardware before they can be executed. Often, this process involves the insertion of SWAP gates into the logical circuit,…

Quantum Physics · Physics 2023-06-16 Kyle E. C. Booth

A new approach to the study of the large-scale stellar cluster distribution in the Galaxy based on two-point correlation techniques is presented. The basic formalism for this method is outlined and its applications are then investigated by…

Astrophysics · Physics 2009-10-30 M. Lopez-Corredoira , F. Garzon , P. L. Hammersley , T. J. Mahoney

Coordinate-wise minimization is a simple popular method for large-scale optimization. Unfortunately, for general (non-differentiable) convex problems it may not find global minima. We present a class of linear programs that coordinate-wise…

Optimization and Control · Mathematics 2020-09-15 Tomáš Dlask , Tomáš Werner

Detectability of failures of linear programming (LP) decoding and the potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the underlying LP problem. In this paper, we…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi , Paul H. Siegel

Place Recognition enables the estimation of a globally consistent map and trajectory by providing non-local constraints in Simultaneous Localisation and Mapping (SLAM). This paper presents Locus, a novel place recognition method using 3D…

We discuss new ideas for consideration of loop diagrams and angular integrals in $D$-dimensions in QCD. In case of loop diagrams, we propose the covariant formalism of expansion of tensorial loop integrals into the orthogonal basis of…

High Energy Physics - Phenomenology · Physics 2021-06-11 Valery E. Lyubovitskij , Fabian Wunder , Alexey S. Zhevlakov

Discrete facility layout design involves placing physical entities to minimize handling costs while adhering to strict safety and spatial constraints. This combinatorial problem is typically addressed using Mixed Integer Linear Programming…

Artificial Intelligence · Computer Science 2026-05-08 Joshua Gibson , Kapil Dhakal

Camera calibration is a crucial prerequisite in many applications of computer vision. In this paper, a new, geometry-based camera calibration technique is proposed, which resolves two main issues associated with the widely used Zhang's…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Jen-Hui Chuang , Chih-Hui Ho , Ardian Umam , HsinYi Chen , Mu-Tien Lu , Jenq-Neng Hwang , Tai-An Chen

We tackle the problem of graph partitioning for image segmentation using correlation clustering (CC), which we treat as an integer linear program (ILP). We reformulate optimization in the ILP so as to admit efficient optimization via…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 Margret Keuper , Jovita Lukasik , Maneesh Singh , Julian Yarkony

Problem of finding 2D paths of special shape, e.g. paths comprised of line segments having the property that the angle between any two consecutive segments does not exceed the predefined threshold, is considered in the paper. This problem…

Artificial Intelligence · Computer Science 2018-11-05 Anton Andreychuk , Natalia Soboleva , Konstantin Yakovlev

Designing of a cranial implant needs a 3D understanding of the complete skull shape. Thus, taking a 2D approach is sub-optimal, since a 2D model lacks a holistic 3D view of both the defective and healthy skulls. Further, loading the whole…

Image and Video Processing · Electrical Eng. & Systems 2020-09-29 Amirhossein Bayat , Suprosanna Shit , Adrian Kilian , Jürgen T. Liechtenstein , Jan S. Kirschke , Bjoern H. Menze

We consider the problem of minimizing the sum of a smooth function $h$ with a bounded Hessian, and a nonsmooth function. We assume that the latter function is a composition of a proper closed function $P$ and a surjective linear map $\cal…

Optimization and Control · Mathematics 2015-11-17 Guoyin Li , Ting Kei Pong
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