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In this paper, we describe a new hybrid algorithm for computing all singular triplets above a given threshold and provide its implementation in MATLAB/Octave and R. The high performance of our codes and ease at which they can be used,…

Numerical Analysis · Mathematics 2024-08-05 James Baglama , Jonathan A. Chávez Casillas , Vasilije Perović

This paper presents new fast algorithms for Hermite interpolation and evaluation over finite fields of characteristic two. The algorithms reduce the Hermite problems to instances of the standard multipoint interpolation and evaluation…

Symbolic Computation · Computer Science 2018-07-03 Nicholas Coxon

Convolution is the core operation for many deep neural networks. The Winograd convolution algorithms have been shown to accelerate the widely-used small convolution sizes. Quantized neural networks can effectively reduce model sizes and…

Neural and Evolutionary Computing · Computer Science 2019-01-09 Lingchuan Meng , John Brothers

The SVOM Visible Telescope (VT) is critical for the rapid identification of gamma-ray burst (GRB) optical counterparts, particularly for high-redshift candidates that require immediate infrared spectroscopic follow-up. To address the…

Video frame interpolation is an important low-level vision task, which can increase frame rate for more fluent visual experience. Existing methods have achieved great success by employing advanced motion models and synthesis networks.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-22 Lingtong Kong , Boyuan Jiang , Donghao Luo , Wenqing Chu , Ying Tai , Chengjie Wang , Jie Yang

Numerous vector angular spectrum methods have been presented to model the vectorial nature of diffractive electromagnetic field, facilitating optical field engineering in polarization-related and high numerical aperture systems. However,…

Optics · Physics 2025-09-29 Chengda Song , Jing He , Guanghui Yuan

We suggest new closely related methods for numerical inversion of $Z$-transform and Wiener-Hopf factorization of functions on the unit circle, based on sinh-deformations of the contours of integration, corresponding changes of variables and…

Numerical Analysis · Mathematics 2024-05-08 Svetlana Boyarchenko , Sergei Levendorskiĭ

Aitken extrapolation normally applied to convergent fixed point iteration is extended to extrapolate the solution of a divergent iteration. In addition, higher order Aitken extrapolation is introduced that enables successive decomposition…

Numerical Analysis · Mathematics 2013-10-17 Ababu Teklemariam Tiruneh

Video frame interpolation(VFI) has witnessed great progress in recent years. While existing VFI models still struggle to achieve a good trade-off between accuracy and efficiency: fast models often have inferior accuracy; accurate models…

Computer Vision and Pattern Recognition · Computer Science 2023-04-26 Ban Chen , Xin Jin , Youxin Chen , Longhai Wu , Jie Chen , Jayoon Koo , Cheul-hee Hahm

In this note we propose a vectorized implementation of the non-parametric bootstrap for statistics based on sample moments. Basically, we adopt the multinomial sampling formulation of the non-parametric bootstrap, and compute bootstrap…

Computation · Statistics 2014-12-12 E. Chaibub Neto

The reciprocal function, 1/x, is important for many real-time algorithms. It is used in a large variety of algorithms from areas ranging from iterative estimation to machine learning. Many of these algorithms are iterative in nature and…

Signal Processing · Electrical Eng. & Systems 2020-07-14 Michael Lunglmayr , Oliver Ploder

Bayesian variable selection regression (BVSR) is able to jointly analyze genome-wide genetic datasets, but the slow computation via Markov chain Monte Carlo (MCMC) hampered its wide-spread usage. Here we present a novel iterative method to…

Computation · Statistics 2018-07-31 Quan Zhou , Yongtao Guan

Precision theoretical predictions for high multiplicity scattering rely on the evaluation of increasingly complicated scattering amplitudes which come with an extremely high CPU cost. For state-of-the-art processes this can cause technical…

High Energy Physics - Phenomenology · Physics 2020-07-15 Simon Badger , Joseph Bullock

Inverse Vandermonde matrix calculation is a long-standing problem to solve nonsingular linear system $Vc=b$ where the rows of a square matrix $V$ are constructed by progression of the power polynomials. It has many applications in…

Numerical Analysis · Mathematics 2019-09-19 Mahdi S. Hosseini , Alfred Chen , Konstantinos N. Plataniotis

Visual in-context learning (VICL), as a new paradigm in computer vision, allows the model to rapidly adapt to various tasks with only a handful of prompts and examples. While effective, the existing VICL paradigm exhibits poor…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Jiahao Xie , Alessio Tonioni , Nathalie Rauschmayr , Federico Tombari , Bernt Schiele

We propose an extremely energy-efficient mixed-signal approach for performing vector-by-matrix multiplication in a time domain. In such implementation, multi-bit values of the input and output vector elements are represented with…

Hardware Architecture · Computer Science 2017-11-30 Mohammad Bavandpour , Mohammad Reza Mahmoodi , Dmitri B. Strukov

We examine the use of a two-level deflation preconditioner combined with GMRES to locally solve the subdomain systems arising from applying domain decomposition methods to Helmholtz problems. Our results show that the direct solution method…

Numerical Analysis · Mathematics 2023-05-03 Niall Bootland , Vandana Dwarka , Pierre Jolivet , Victorita Dolean , Cornelis Vuik

In this paper, an efficient implementation for a recognition system based on the original HMAX model of the visual cortex is proposed. Various optimizations targeted to increase accuracy at the so-called layers S1, C1, and S2 of the HMAX…

Computer Vision and Pattern Recognition · Computer Science 2017-11-22 Ahmad W. Bitar , Mohammad M. Mansour , Ali Chehab

Recently we developed a new sampling methodology based on incomplete cosine expansion of the sinc function and applied it in numerical integration in order to obtain a rational approximation for the complex error function $w\left(z \right)…

Numerical Analysis · Mathematics 2019-03-08 S. M. Abrarov , B. M. Quine , R. K. Jagpal

Structured sparsity has been proposed as an efficient way to prune the complexity of modern Machine Learning (ML) applications and to simplify the handling of sparse data in hardware. The acceleration of ML models - for both training and…

Hardware Architecture · Computer Science 2023-11-14 V. Titopoulos , K. Alexandridis , C. Peltekis , C. Nicopoulos , G. Dimitrakopoulos