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The influence of a Gaussian environment on a quantum system can be described by effectively replacing the continuum with a discrete set of ancillary quantum and classical degrees of freedom. This defines a pseudomode model which can be used…

Quantum Physics · Physics 2024-07-30 Mauro Cirio , Si Luo , Pengfei Liang , Franco Nori , Neill Lambert

Recent advances in 3D Gaussian Splatting have shown promising results. Existing methods typically assume static scenes and/or multiple images with prior poses. Dynamics, sparse views, and unknown poses significantly increase the problem…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Weihang Li , Weirong Chen , Shenhan Qian , Jiajie Chen , Daniel Cremers , Haoang Li

We consider conditional photonic non-Gaussian state preparation using multimode Gaussian states and photon-number-resolving detectors in the presence of photon loss. While simulation of such state preparation is often computationally…

Quantum Physics · Physics 2019-09-06 N. Quesada , L. G. Helt , J. Izaac , J. M. Arrazola , R. Shahrokhshahi , C. R. Myers , K. K. Sabapathy

Conditional diffusion probabilistic models can model the distribution of natural images and can generate diverse and realistic samples based on given conditions. However, oftentimes their results can be unrealistic with observable color…

Computer Vision and Pattern Recognition · Computer Science 2022-12-15 Kangfu Mei , Nithin Gopalakrishnan Nair , Vishal M. Patel

Multivariate spatial fields are of interest in many applications, including climate model emulation. Not only can the marginal spatial fields be subject to nonstationarity, but the dependence structure among the marginal fields and between…

Methodology · Statistics 2023-11-21 Paul F. V. Wiemann , Matthias Katzfuss

We propose efficient classical algorithms which (strongly) simulate the action of bosonic linear optics circuits applied to superpositions of Gaussian states. Our approach relies on an augmented covariance matrix formalism to keep track of…

Quantum Physics · Physics 2025-11-19 Beatriz Dias , Robert Koenig

Simulation of materials at the atomistic level is an important tool in studying microscopic structure and processes. The atomic interactions necessary for the simulation are correctly described by Quantum Mechanics. However, the…

Materials Science · Physics 2015-03-13 Albert P. Bartók

Generative modeling of spatio-temporal fields is crucial for a variety of applications, including stochastic weather generators and climate-model surrogates. However, many such fields exhibit complex dependence structures that vary across…

Methodology · Statistics 2026-05-06 Carrie J. Lei-Cramer , Jian Cao , Matthias Katzfuss

We introduce a nonparametric prior on the conditional distribution of a (univariate or multivariate) response given a set of predictors. The prior is constructed in the form of a two-stage generative procedure, which in the first stage…

Methodology · Statistics 2017-03-16 Li Ma

Primordial non-Gaussianities are key quantities to test early universe scenarios. In this paper, we compute full bispectra of scalar and tensor perturbations generated during a contracting phase in a general bounce model. The general bounce…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-21 Shingo Akama

We develop a class of nearest-neighbor mixture models that provide direct, computationally efficient, probabilistic modeling for non-Gaussian geospatial data. The class is defined over a directed acyclic graph, which implies conditional…

Methodology · Statistics 2022-06-28 Xiaotian Zheng , Athanasios Kottas , Bruno Sansó

In this paper, we verify the large scale structure consistency relations using N-body simulations, including modes in the highly non-linear regime. These relations (pointed out by Kehagias & Riotto and Peloso & Pietroni) follow from the…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-30 Angelo Esposito , Lam Hui , Roman Scoccimarro

Multiple photon subtraction applied to a displaced phase-averaged coherent state, which is a non-Gaussian classical state, produces conditional states with a non trivial (positive) Glauber-Sudarshan $P$-representation. We theoretically and…

Quantum Physics · Physics 2013-12-02 Stefano Olivares , Alessia Allevi , Maria Bondani

In the spectral Petrov-Galerkin methods, the trial and test functions are required to satisfy particular boundary conditions. By a suitable linear combination of orthogonal polynomials, a basis, that is called the modal basis, is obtained.…

Numerical Analysis · Mathematics 2018-02-14 Mostafa Jani , Esmail Babolian , Shahnam Javadi

This paper introduces the $3^{rd}$-order Spectral Representation Method for simulation of non-stationary and non-Gaussian stochastic processes. The proposed method extends the classical $2^{nd}$-order Spectral Representation Method to…

Statistics Theory · Mathematics 2022-06-01 Lohit Vandanapu , Michael D. Shields

We study the level of primordial non-Gaussianity in slow-roll two-field inflation. Using an analytic formula for the nonlinear parameter f_nl in the case of a sum or product separable potential, we find that it is possible to generate…

Astrophysics · Physics 2011-07-13 Christian T. Byrnes , Ki-Young Choi , Lisa M. H. Hall

Gaussian baths are widely used to model non-Markovian environments, yet the cost of accurate simulation at long times remains poorly understood, especially when spectral densities exhibit nonanalytic behavior as in a range of realistic…

Quantum Physics · Physics 2026-04-07 Zhen Huang , Zhiyan Ding , Ke Wang , Jason Kaye , Xiantao Li , Lin Lin

This contribution discusses isocurvature modes, in particular the non-Gaussianities of local type generated by these modes. Since the isocurvature transfer functions differ from the adiabatic one, the coexistence of a primordial…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 David Langlois

Nonparametric Bayesian models are used routinely as flexible and powerful models of complex data. Many times, a statistician may have additional informative beliefs about data distribution of interest, e.g., its mean or subset components,…

Methodology · Statistics 2022-11-08 Bingjing Tang , Vinayak Rao

Detecting and measuring a non-Gaussian signature of primordial origin in the density field is a major science goal of next-generation galaxy surveys. The signal will permit us to determine primordial physics processes and constrain models…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-15 Adam Andrews , Jens Jasche , Guilhem Lavaux , Fabian Schmidt
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