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We develop two new classes of space-time Gaussian process models by specifying covariance functions using what we call a half-spectral representation. The half-spectral representation of a covariance function, $K$, is a special case of…

Methodology · Statistics 2015-05-07 Michael T. Horrell , Michael L. Stein

We consider various constraints on Higgsless models of electroweak symmetry breaking based on a bulk SU(2)_L x SU(2)_R x U(1)_{B-L} gauge group in warped space. First we show that the S parameter which is positive if fermions are localized…

High Energy Physics - Phenomenology · Physics 2009-09-17 Giacomo Cacciapaglia , Csaba Csaki , Christophe Grojean , John Terning

We consider a special type of Restricted Boltzmann machine (RBM), namely a Gaussian-spherical RBM where the visible units have Gaussian priors while the vector of hidden variables is constrained to stay on an ${\mathbbm L}_2$ sphere. The…

Disordered Systems and Neural Networks · Physics 2023-07-17 Aurélien Decelle , Cyril Furtlehner

This work considers the problem of estimating the parameters of negative mixture models, i.e. mixture models that possibly involve negative weights. The contributions of this paper are as follows. (i) We show that every rational probability…

Machine Learning · Computer Science 2014-09-22 Guillaume Rabusseau , François Denis

Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

Machine Learning · Computer Science 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

Using methods from soft-collinear and heavy-quark effective theory, a systematic factorization analysis is performed for the $\bar B\to X_s\gamma$ photon spectrum in the endpoint region $m_b-2E_\gamma={\cal O}(\Lambda_{\rm QCD})$. It is…

High Energy Physics - Phenomenology · Physics 2015-03-13 Michael Benzke , Seung J. Lee , Matthias Neubert , Gil Paz

We propose a method to estimate non-Gaussian error bars on the matter power spectrum from galaxy surveys in the presence of non-trivial survey selection functions. The estimators are often obtained from formalisms like FKP and PKL, which…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Joachim Harnois-Deraps , Ue-Li Pen

Upcoming large-scale structure surveys will measure the matter power spectrum to approximately percent level accuracy with the aim of searching for evidence for new physics beyond the standard model of cosmology. In order to avoid biasing…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-18 Jaime Salcido , Ian G. McCarthy , Juliana Kwan , Amol Upadhye , Andreea S. Font

The recently introduced Gaussian Process State (GPS) provides a highly flexible, compact and physically insightful representation of quantum many-body states based on ideas from the zoo of machine learning approaches. In this work, we give…

Strongly Correlated Electrons · Physics 2020-10-05 Yannic Rath , Aldo Glielmo , George H. Booth

A method is presented for estimating unknown Fourier domain (k-space) data using a small number of samples in that space. The method is derived from Bochners Theorem, and is termed: Bochner Inequality Completion of K-Space (BICKS). It is…

Medical Physics · Physics 2015-06-11 Jonathan Nemirovsky , Efrat Shimron

We study the prediction of the Effective Field Theory of Large Scale Structures (EFTofLSS) for the matter power spectrum at different redshifts. In previous work, we found that the two-loop prediction can match the nonlinear power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Simon Foreman , Leonardo Senatore

Space-time dependence of imaginary-time propagators, vital for \textit{ab initio} and many-body calculations based on quantum field theories, has been revealed to be compressible using Quantum Tensor Trains (QTTs) [Phys. Rev. X {\bf 13},…

Strongly Correlated Electrons · Physics 2025-01-09 Haruto Takahashi , Rihito Sakurai , Hiroshi Shinaoka

When calculating properties of periodic systems at the thermodynamic limit (TDL), the dominant source of finite size error (FSE) arises from the long-range Coulomb interaction, and can manifest as a slowly converging quadrature error when…

Computational Physics · Physics 2025-06-25 Stephen Jon Quiton , Juan D. F. Pottecher , Xin Xing , Martin Head-Gordon , Lin Lin

A phenomenological power spectrum of primordial density perturbations has been constructed by using both COBE data to probe the large wavelength region, and a double power law, locally deduced from galaxy catalogs, which describes the…

Astrophysics · Physics 2008-02-03 S. Torres , R. Fabbri , R. Ruffini

We consider two related tasks: (a) estimating a parameterisation of a given Gibbs state and expectation values of Lipschitz observables on this state; and (b) learning the expectation values of local observables within a thermal or quantum…

Quantum Physics · Physics 2024-09-09 Emilio Onorati , Cambyse Rouzé , Daniel Stilck França , James D. Watson

This paper examines a cosmological model of scale-dependent gravity. The gravitational action is taken to be the Einstein-Hilbert term supplemented with a cosmological constant, where the couplings, $G_k$ and $\Lambda_k$, run with the…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Pedro D. Alvarez , Benjamin Koch , Cristobal Laporte , Angel Rincon

Characteristic functions of weighted sums of independent random variables exhibit low-rank structure in the quantized tensor train (QTT) representation, also known as matrix product states (MPS), enabling up to exponential compression of…

Machine Learning · Statistics 2026-03-25 Juan José Rodríguez-Aldavero , Juan José García-Ripoll

We investigate how unified models should be built to be able to predict the matter-density bispectrum (and power spectrum) from very large to small scales and that are at the same time consistent with perturbation theory at low $k$ and with…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Patrick Valageas , Takahiro Nishimichi

We show how to fully map a specific model of modified gravity into the Einstein-Boltzmann solver EFTCAMB. This approach consists in few steps and allows to obtain the cosmological phenomenology of a model with minimal effort. We discuss all…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-20 Bin Hu , Marco Raveri , Matteo Rizzato , Alessandra Silvestri

The expansiveness of compositional phase space is too vast to fully search using current theoretical tools for many emergent problems in condensed matter physics. The reliance on a deep chemical understanding is one method to identify local…

Superconductivity · Physics 2023-01-26 Lazar Novakovic , Ashkan Salamat , Keith V. Lawler