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In recent years, various means of efficiently detecting changepoints in the univariate setting have been proposed, with one popular approach involving minimising a penalised cost function using dynamic programming. In some situations, these…

Methodology · Statistics 2018-10-09 S. O. Tickle , I. A. Eckley , P. Fearnhead , K. Haynes

Discrete variational methods show excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative procedure for the solution of discrete variational equations for boundary value…

Optimization and Control · Mathematics 2022-06-22 Sebastián J. Ferraro , David Martín de Diego , Rodrigo Takuro Sato Martín de Almagro

An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced. This is accomplished by utilizing two nonuniformly-coupled waveguide lattices…

Optics · Physics 2025-02-25 Kevin Zelaya , Mohammad-Ali Miri

This work presents a highly optimized computational framework for the Discrete Dipole Approximation, a numerical method for calculating the optical properties associated with a target of arbitrary geometry that is widely used in…

Instrumentation and Methods for Astrophysics · Physics 2009-08-07 James Mc Donald , Aaron Golden , S. Gerard Jennings

The present work proposes a computer-aided normal and abnormal heart sound identification based on Discrete Wavelet Transform (DWT), it being useful for tele-diagnosis of heart diseases. Due to the presence of Cumulative Frequency…

Computer Vision and Pattern Recognition · Computer Science 2012-09-11 Nilanjan Dey , Achintya Das , Sheli Sinha Chaudhuri

This paper introduces the synchrosqueezed curvelet transform as an optimal tool for 2D mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transform consists of a generalized curvelet transform with…

Numerical Analysis · Mathematics 2013-10-24 Haizhao Yang , Lexing Ying

The paper presents an image denoising algorithm by combining a method that is based on directional quasi-analytic wavelet packets (qWPs) with the popular BM3D algorithm. The qWPs and its corresponding transforms are designed in [1]. The…

Image and Video Processing · Electrical Eng. & Systems 2022-06-10 Amir Averbuch , Pekka Neittaanmaki , Valery Zheludev , Moshe Salhov , Jonathan Hauser

In recent years, mesh subdivision---the process of forging smooth free-form surfaces from coarse polygonal meshes---has become an indispensable production instrument. Although subdivision performance is crucial during simulation, animation…

Graphics · Computer Science 2019-01-17 Daniel Mlakar , Martin Winter , Hans-Peter Seidel , Markus Steinberger , Rhaleb Zayer

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

Data Structures and Algorithms · Computer Science 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

Diffusion models have achieved great success in synthesizing high-quality images. However, generating high-resolution images with diffusion models is still challenging due to the enormous computational costs, resulting in a prohibitive…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Muyang Li , Tianle Cai , Jiaxin Cao , Qinsheng Zhang , Han Cai , Junjie Bai , Yangqing Jia , Ming-Yu Liu , Kai Li , Song Han

The miniaturization and mobility of computer vision systems are limited by the heavy computational burden and the size of optical lenses. Here, we propose to use a ultra-thin diffractive optical element to implement passive optical…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Zihan Zang , Haoqiang Wang , Yunpeng Xu

By building on recent advances in the use of randomized trace estimation to drastically reduce the memory footprint of adjoint-state methods, we present and validate an imaging approach that can be executed exclusively on accelerators.…

Geophysics · Physics 2022-03-14 Mathias Louboutin , Felix J. Herrmann

In video generation models, particularly world models, training large-scale video diffusion Transformers (such as DiT and MMDiT) poses significant computational challenges due to the extreme variance in sequence lengths within mixed-mode…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Yucheng Guo , Yongjian Guo , Zhong Guan , Haoran Sun , Wen Huang , Wanting Xu , Jing Long , Shuai Di , Junwu Xiong

The persistence diagram, which describes the topological features of a dataset, is a key descriptor in Topological Data Analysis. The "Discrete Morse Sandwich" (DMS) method has been reported to be the most efficient algorithm for computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-27 Eve Le Guillou , Pierre Fortin , Julien Tierny

Parallel MRI is a fast imaging technique that enables the acquisition of highly resolved images in space or/and in time. The performance of parallel imaging strongly depends on the reconstruction algorithm, which can proceed either in the…

Applications · Statistics 2013-10-07 Lotfi Chaari , Sébastien Mériaux , Jean-Christophe Pesquet , Philippe Ciuciu

Convolutional neural networks are state-of-the-art for various segmentation tasks. While for 2D images these networks are also computationally efficient, 3D convolutions have huge storage requirements and therefore, end-to-end training is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Christoph Angermann , Markus Haltmeier

We investigate whether continuous-control policies can be represented and learned as discrete logic circuits instead of continuous neural networks. We introduce Differentiable Weightless Controllers (DWCs), a symbolic-differentiable…

Machine Learning · Computer Science 2025-12-02 Fabian Kresse , Christoph H. Lampert

An orthogonal 16-point approximate discrete cosine transform (DCT) is introduced. The proposed transform requires neither multiplications nor bit-shifting operations. A fast algorithm based on matrix factorization is introduced, requiring…

Computer Vision and Pattern Recognition · Computer Science 2016-06-24 T. L. T. Silveira , R. S. Oliveira , F. M. Bayer , R. J. Cintra , A. Madanayake

Density functional theory (DFT) has been a cornerstone in computational chemistry, physics, and materials science for decades, benefiting from advancements in computational power and theoretical methods. This paper introduces a novel,…

We present in this paper new multiscale transforms on the sphere, namely the isotropic undecimated wavelet transform, the pyramidal wavelet transform, the ridgelet transform and the curvelet transform. All of these transforms can be…

Astrophysics · Physics 2016-08-30 Jean-Luc Starck , Yassir Moudden , Pierrick Abrial , Mai Nguyen
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