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We describe a quantum-assisted machine learning (QAML) method in which multivariate data is encoded into quantum states in a Hilbert space whose dimension is exponentially large in the length of the data vector. Learning in this space…

量子物理 · 物理学 2021-10-13 Michael L. Wall , Giuseppe D'Aguanno

It was recently shown that a generalization of quantum Turing machines (QTMs), in which potentials are associated with elementary steps or transitions of the computation, generates potential distributions along computation paths of states…

凝聚态物理 · 物理学 2009-10-30 Paul Benioff

The shape of the primordial matter power spectrum Plin(k) encodes critical information on cosmological parameters. At large scales, the observable galaxy power spectrum Pobs(k) is expected to follow the shape of Plin(k), but on smaller…

天体物理学 · 物理学 2011-02-11 Jaiyul Yoo , David H. Weinberg , Jeremy L. Tinker , Zheng Zheng , Michael S. Warren

Approximation of high-dimensional functions is a problem in many scientific fields that is only feasible if advantageous structural properties, such as sparsity in a given basis, can be exploited. A relevant tool for analysing sparse…

数值分析 · 数学 2023-10-16 Philipp Trunschke , Anthony Nouy , Martin Eigel

Comparison of echelle spectra to synthetic models has become a computational statistics challenge, with over ten thousand individual spectral lines affecting a typical cool star echelle spectrum. Telluric artifacts, imperfect line lists,…

天体物理仪器与方法 · 物理学 2023-01-04 Michael A. Gully-Santiago , Caroline V. Morley

Knowledge graphs (KGs) represent world's facts in structured forms. KG completion exploits the existing facts in a KG to discover new ones. Translation-based embedding model (TransE) is a prominent formulation to do KG completion. Despite…

人工智能 · 计算机科学 2019-10-11 Mojtaba Nayyeri , Chengjin Xu , Yadollah Yaghoobzadeh , Hamed Shariat Yazdi , Jens Lehmann

The Koopman operator, as a linear representation of a nonlinear dynamical system, has been attracting attention in many fields of science. Recently, Koopman operator theory has been combined with another concept that is popular in data…

机器学习 · 计算机科学 2026-02-05 Septimus Boshoff , Sebastian Peitz , Stefan Klus

Thomson scattering (TS) diagnostics provide reliable, minimally perturbative measurements of fundamental plasma parameters, such as electron density ($n_e$) and electron temperature ($T_e$). Deep neural networks can provide accurate…

The Kohn-Sham scheme of density functional theory is one of the most widely used methods to solve electronic structure problems for a vast variety of atomistic systems across different scientific fields. While the method is fast relative to…

Restricted Boltzmann Machines are key tools in Machine Learning and are described by the energy function of bipartite spin-glasses. From a statistical mechanical perspective, they share the same Gibbs measure of Hopfield networks for…

数学物理 · 物理学 2017-08-02 Elena Agliari , Adriano Barra , Chiara Longo , Daniele Tantari

The ability to obtain reliable point estimates of model parameters is of crucial importance in many fields of physics. This is often a difficult task given that the observed data can have a very high number of dimensions. In order to…

宇宙学与河外天体物理 · 物理学 2021-12-15 Janis Fluri , Aurelien Lucchi , Tomasz Kacprzak , Alexandre Refregier , Thomas Hofmann

We present a set of benchmark calculations for the Kohn-Sham elastic transmission function of five representative single-molecule junctions. The transmission functions are calculated using two different density functional theory (DFT)…

介观与纳米尺度物理 · 物理学 2009-11-13 M. Strange , I. S. Kristensen , K. S. Thygesen

We report the results of an analysis of the redshift power spectrum $P^S(k,\mu)$ in three typical Cold Dark Matter (CDM) cosmological models, where $\mu$ is the cosine of the angle between the wave vector and the line-of-sight. Two distinct…

天体物理学 · 物理学 2009-10-31 Y. P. Jing , G. Boerner

We study the evolution of density perturbations for a class of $f(R)$ models which closely mimic $\Lambda$CDM background cosmology. Using the quasi-static approximation, and the fact that these models are equivalent to scalar-tensor…

宇宙学与河外天体物理 · 物理学 2015-05-19 Stephen A Appleby , Jochen Weller

Bottom-Up Hidden Tree Markov Model is a highly expressive model for tree-structured data. Unfortunately, it cannot be used in practice due to the intractable size of its state-transition matrix. We propose a new approximation which lies on…

机器学习 · 计算机科学 2019-06-03 Daniele Castellana , Davide Bacciu

Constraints on a dark energy dominated Universe are obtained from an interplay between Bayesian Machine Learning and string Swampland criteria. The approach here differs from previous studies, since in the generative process Swampland…

广义相对论与量子宇宙学 · 物理学 2021-05-05 Emilio Elizalde , Martiros Khurshudyan

We propose an effective approach to rapid estimation of the energy spectrum of quantum systems with the use of machine learning (ML) algorithm. In the ML approach (back propagation), the wavefunction data known from experiments is…

计算物理 · 物理学 2020-01-29 Gennadiy Burlak

Generative models offer a direct way of modeling complex data. Energy-based models attempt to encode the statistical correlations observed in the data at the level of the Boltzmann weight associated with an energy function in the form of a…

无序系统与神经网络 · 物理学 2024-04-10 Aurélien Decelle , Cyril Furtlehner , Alfonso De Jesus Navas Gómez , Beatriz Seoane

Understanding sub-cellular protein localisation is an essential component to analyse context specific protein function. Recent advances in quantitative mass-spectrometry (MS) have led to high resolution mapping of thousands of proteins to…

应用统计 · 统计学 2019-03-12 Oliver M. Crook , Kathryn S. Lilley , Laurent Gatto , Paul D. W. Kirk

One of the key tasks of any particle collider is measurement. In practice, this is often done by fitting data to a simulation, which depends on many parameters. Sometimes, when the effects of varying different parameters are highly…

高能物理 - 唯象学 · 物理学 2021-10-12 Forrest Flesher , Katherine Fraser , Charles Hutchison , Bryan Ostdiek , Matthew D. Schwartz