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The inflationary paradigm is the most successful model that explains the observed spectrum of primordial perturbations. However, the precise emergence of such inhomogeneities and the quantum-to-classical transition of the perturbations has…

广义相对论与量子宇宙学 · 物理学 2016-01-26 Gabriel Leon , Gabriel R. Bengochea

N-Point Correlation Functions, usually with N = 2, 3, and their Fourier-space analogs power spectrum and bispectrum, are major tools used in cosmology to capture the clustering of large-scale structure. We outline how the clustering these…

宇宙学与河外天体物理 · 物理学 2025-08-12 Zachary Slepian , Farshad Kamalinejad , Alessandro Greco

We present a method to analytically compute the quantum corrected two-point correlation function of a scalar field in leading order at each loop in a homogeneous, isotropic and spatially flat spacetime where the expansion rate is time…

广义相对论与量子宇宙学 · 物理学 2019-12-18 G. Karakaya , V. K. Onemli

We develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential…

高能物理 - 唯象学 · 物理学 2016-06-22 Daniel Burns , Sotirios Karamitsos , Apostolos Pilaftsis

This article introduces a new class of fast algorithms to approximate variational problems involving unbalanced optimal transport. While classical optimal transport considers only normalized probability distributions, it is important for…

最优化与控制 · 数学 2017-05-23 Lenaic Chizat , Gabriel Peyré , Bernhard Schmitzer , François-Xavier Vialard

Stochastic simulators are an indispensable tool in many branches of science. Often based on first principles, they deliver a series of samples whose distribution implicitly defines a probability measure to describe the phenomena of…

数据分析、统计与概率 · 物理学 2022-01-19 Chris Pollard , Philipp Windischhofer

Understanding human driving behavior is important for autonomous vehicles. In this paper, we propose an interpretable human behavior model in interactive driving scenarios based on the cumulative prospect theory (CPT). As a non-expected…

人工智能 · 计算机科学 2019-07-23 Liting Sun , Wei Zhan , Yeping Hu , Masayoshi Tomizuka

This paper presents a deep-learning based CPP algorithm, called Coverage Path Planning Network (CPPNet). CPPNet is built using a convolutional neural network (CNN) whose input is a graph-based representation of the occupancy grid map while…

机器人学 · 计算机科学 2021-08-04 Zongyuan Shen , Palash Agrawal , James P. Wilson , Ryan Harvey , Shalabh Gupta

We show how importance sampling can be used to reconstruct the statistics of rare cosmological fluctuations in stochastic inflation. We have developed a publicly available package, PyFPT, that solves the first-passage time problem of…

宇宙学与河外天体物理 · 物理学 2022-10-27 Joseph H. P. Jackson , Hooshyar Assadullahi , Kazuya Koyama , Vincent Vennin , David Wands

We study inflation in models with many interacting fields subject to randomly generated scalar potentials. We use methods from non-equilibrium random matrix theory to construct the potentials and an adaption of the 'transport method' to…

宇宙学与河外天体物理 · 物理学 2018-02-07 Mafalda Dias , Jonathan Frazer , M. C. David Marsh

Correlation functions of primordial density fluctuations provide an exciting probe of the physics governing the earliest moments of our Universe. However, the standard approach to compute them is technically challenging. Theoretical…

高能物理 - 理论 · 物理学 2024-09-26 Denis Werth , Lucas Pinol , Sébastien Renaux-Petel

We provide a precise and quantitative holographic description of a class of inflationary slow-roll models. The dual QFT is a deformation of a three-dimensional CFT by a nearly marginal operator, which, in the models we consider, generates…

高能物理 - 理论 · 物理学 2013-08-28 Adam Bzowski , Paul McFadden , Kostas Skenderis

We present a new method to calculate the spectrum of (slow-roll) inflationary perturbations, inspired by the conjectured dS/CFT correspondence. We show how the standard result for the spectrum of inflationary perturbations can be obtained…

高能物理 - 理论 · 物理学 2014-11-18 Jan Pieter van der Schaar

The time evolution of primordial fluctuations conceals a wealth of insights into the high-energy physics at play during the earliest moments of our Universe, which is ultimately encoded in late-time spatial correlation functions. However,…

宇宙学与河外天体物理 · 物理学 2023-12-12 Lucas Pinol , Sébastien Renaux-Petel , Denis Werth

We present QCommute, a software tool implemented in C++ for symbolic computation of nested commutators between a Hamiltonian and local observables in quantum many-body spin-1/2 systems on one-, two-, and three-dimensional hypercubic…

强关联电子 · 物理学 2026-04-09 Oleg Lychkovskiy , Viacheslav Khrushchev , Ilya Shirokov

This paper initiates a study into the century-old issue of market predictability from the perspective of computational complexity. We develop a simple agent-based model for a stock market where the agents are traders equipped with simple…

计算工程、金融与科学 · 计算机科学 2007-05-23 James Aspnes , David F. Fischer , Michael J. Fischer , Ming-Yang Kao , Alok Kumar

The presence of multiple fields during inflation might seed a detectable amount of non-Gaussianity in the curvature perturbations, which in turn becomes observable in present data sets like the cosmic microwave background (CMB) or the large…

宇宙学与河外天体物理 · 物理学 2015-08-27 Sebastian Dorn , Erandy Ramirez , Kerstin E. Kunze , Stefan Hofmann , Torsten A. Enßlin

Conformal Prediction (CP) is a principled framework for quantifying uncertainty in blackbox learning models, by constructing prediction sets with finite-sample coverage guarantees. Traditional approaches rely on scalar nonconformity scores,…

机器学习 · 统计学 2025-05-07 Gauthier Thurin , Kimia Nadjahi , Claire Boyer

Cluster Perturbation Theory (CPT) is a computationally economic method commonly used to estimate the momentum and energy resolved single-particle Green's function. It has been used extensively in direct comparisons with experiments that…

强关联电子 · 物理学 2020-02-20 P. T. Raum , G. Alvarez , Thomas Maier , V. W. Scarola

The calibration of (low-cost) inertial sensors has become increasingly important over the past years since their use has grown exponentially in many applications going from unmanned aerial vehicle navigation to 3D-animation. However, this…

应用统计 · 统计学 2016-07-22 James Balamuta , Stephane Guerrier , Roberto Molinari , Wenchao Yang