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This work is concerned with solving high-dimensional Fokker-Planck equations with the novel perspective that solving the PDE can be reduced to independent instances of density estimation tasks based on the trajectories sampled from its…

数值分析 · 数学 2023-12-13 Xun Tang , Lexing Ying

In this paper, we discuss the development of a sublinear sparse Fourier algorithm for high-dimensional data. In ``Adaptive Sublinear Time Fourier Algorithm" by D. Lawlor, Y. Wang and A. Christlieb (2013), an efficient algorithm with…

数值分析 · 数学 2019-07-02 Bosu Choi , Andrew Christlieb , Yang Wang

A low complexity frequency offset estimation algorithm based on all-phase FFT for M-QAM is proposed. Compared with two-stage algorithms such as FFT+CZT and FFT+ZoomFFT, our algorithm can lower computational complexity by 73% and 30%…

信号处理 · 电气工程与系统科学 2021-05-24 Qian Li

A Fast algorithm for the Discrete Hartley Transform (DHT) is presented, which resembles radix-2 fast Fourier Transform (FFT). Although fast DHTs are already known, this new approach bring some light about the deep relationship between fast…

离散数学 · 计算机科学 2015-03-13 H. M. de Oliveira , V. L. Sousa , H. A. N. , R. M. Campello de Souza

Complementary-label learning (CLL) is a weakly supervised learning paradigm for multiclass classification, where only complementary labels -- indicating classes an instance does not belong to -- are provided to the learning algorithm.…

机器学习 · 计算机科学 2024-11-20 Nai-Xuan Ye , Tan-Ha Mai , Hsiu-Hsuan Wang , Wei-I Lin , Hsuan-Tien Lin

We present some work relating to fractal transformations on masked iterated function systems and demonstrate how well known algorithms for generating fractal transformations can be modifed for these systems. We also demonstrate that these…

动力系统 · 数学 2013-09-02 Michael Barnsley , Brendan Harding

We develop a linear algorithm for extracting extragalactic point sources for the Compact Source Catalogue of the upcoming PLANCK mission. This algorithm is based on a simple top-hat filter in the harmonic domain with an adaptive filtering…

We present a cross-language C++/Python program for simulations of quantum mechanical systems with the use of Quantum Monte Carlo (QMC) methods. We describe a system for which to apply QMC, the algorithms of variational Monte Carlo and…

计算物理 · 物理学 2009-11-13 J. K. Nilsen

Advances in our understanding of the origin, evolution and structure of the universe have long been driven by cosmological perturbation theory, model building and effective field theory. In this review, we introduce numerical relativity as…

广义相对论与量子宇宙学 · 物理学 2022-03-08 Anna Ijjas

pocoMC is a Python package for accelerated Bayesian inference in astronomy and cosmology. The code is designed to sample efficiently from posterior distributions with non-trivial geometry, including strong multimodality and non-linearity.…

天体物理仪器与方法 · 物理学 2022-07-13 Minas Karamanis , David Nabergoj , Florian Beutler , John A. Peacock , Uros Seljak

Libpsht (or "library for Performant Spherical Harmonic Transforms") is a collection of algorithms for efficient conversion between spatial-domain and spectral-domain representations of data defined on the sphere. The package supports…

天体物理仪器与方法 · 物理学 2011-01-11 Martin Reinecke

The analyses of the next generation cosmological surveys demand an accurate, efficient, and differentiable method for simulating the universe and its observables across cosmological volumes. We present Hamiltonian ray tracing (HRT) -- the…

宇宙学与河外天体物理 · 物理学 2024-10-23 Alan Junzhe Zhou , Yin Li , Scott Dodelson , Rachel Mandelbaum , Yucheng Zhang , Xiangchong Li , Giulio Fabbian

We study the decomposition of a multivariate Hankel matrix H\_$\sigma$ as a sum of Hankel matrices of small rank in correlation with the decomposition of its symbol $\sigma$ as a sum of polynomial-exponential series. We present a new…

代数几何 · 数学 2017-01-23 Jouhayna Harmouch , Houssam Khalil , Bernard Mourrain

This paper proposes a new methodology for subspace identification of linear time-periodic (LTP) systems with periodic inputs. This method overcomes the issues related to the computation of frequency response of LTP systems by utilizing the…

系统与控制 · 电气工程与系统科学 2020-11-03 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

While many classical algorithms rely on Laplace transforms, it has remained an open question whether these operations could be implemented efficiently on quantum computers. In this work, we introduce the Quantum Laplace Transform (QLT),…

量子物理 · 物理学 2024-12-12 Julien Zylberman

We describe the architecture evolution of the highly-parallel dedicated processor FTK, which is driven by the simulation of LHC events at high luminosity (1034 cm-2 s-1). FTK is able to provide precise on-line track reconstruction for…

Arithmetic complexity has a main role in the performance of algorithms for spectrum evaluation. Arithmetic transform theory offers a method for computing trigonometrical transforms with minimal number of multiplications. In this paper, the…

经典分析与常微分方程 · 数学 2016-03-24 R. J. Cintra , H. M. de Oliveira

The evaluation of multi-loop Feynman integrals is one of the main challenges in the computation of precise theoretical predictions for the cross sections measured at the LHC. In recent years, the method of differential equations has proven…

高能物理 - 唯象学 · 物理学 2018-02-08 Christoph Meyer

We present a newly developed software package which implements a wide range of routines frequently used in Weak Gravitational Lensing (WL). With the continuously increasing size of the WL scientific community we feel that easy to use…

宇宙学与河外天体物理 · 物理学 2016-11-18 Andrea Petri

We present efficient methods to interpolate data with a quantum computer that complement uploading techniques and quantum post-processing. The quantum algorithms are supported by the efficient Quantum Fourier Transform (QFT) and classical…

量子物理 · 物理学 2023-01-04 Sergi Ramos-Calderer
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