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We demonstrate that the concept of a conservation law can be naturally extended from deterministic to probabilistic cellular automata (PCA) rules. The local function for conservative PCA must satisfy conditions analogous to conservation…

Cellular Automata and Lattice Gases · Physics 2009-11-10 Henryk Fukś

We analyze a scheme for controlling coherent photon absorption by cavity electromagnetically induced transparency (EIT) in a three-level atom-cavity system. Coherent perfect absorption (CPA) can occur when time-reversed symmetry of lasing…

Optics · Physics 2021-09-01 Miaodi Guo

We present an efficient implementation of the random phase approximation (RPA) for molecular systems within the domain-based local pair natural orbital (DLPNO) framework. With optimized parameters, DLPNO-RPA achieves approximately 99.9%…

Chemical Physics · Physics 2025-08-18 Yu Hsuan Liang , Xing Zhang , Garnet Kin-Lic Chan , Timothy C. Berkelbach , Hong-Zhou Ye

This study presents a scalable data-driven algorithm designed to efficiently address the challenging problem of reachability analysis. Analysis of cyber-physical systems (CPS) relies typically on parametric physical models of dynamical…

Robotics · Computer Science 2025-05-22 Navid Hashemi , Lars Lindemann , Jyotirmoy Deshmukh

We present an approximation scheme of the nonperturbative renormalization group that preserves the momentum dependence of correlation functions. This approximation scheme can be seen as a simple improvement of the local potential…

Statistical Mechanics · Physics 2018-05-24 Félix Rose , Nicolas Dupuis

Self-consistent relativistic random-phase approximation (RPA) in the radial coordinate representation is established by using the finite amplitude method (FAM). Taking the isoscalar giant monopole resonance in spherical nuclei as example,…

Nuclear Theory · Physics 2013-10-16 Haozhao Liang , Takashi Nakatsukasa , Zhongming Niu , Jie Meng

The unitary coupled cluster (UCC) approximation is one of the more promising wave-function ans\"atze for electronic structure calculations on quantum computers via the variational quantum eigensolver algorithm. However, for large systems…

Quantum Physics · Physics 2021-09-30 Jia Chen , Hai-Ping Cheng , James K. Freericks

Principal component analysis (PCA) requires the computation of a low-rank approximation to a matrix containing the data being analyzed. In many applications of PCA, the best possible accuracy of any rank-deficient approximation is at most a…

Computation · Statistics 2010-06-04 Vladimir Rokhlin , Arthur Szlam , Mark Tygert

Uncertainty quantification is necessary for developers, physicians, and regulatory agencies to build trust in machine learning predictors and improve patient care. Beyond measuring uncertainty, it is crucial to express it in clinically…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Jacopo Teneggi , J Webster Stayman , Jeremias Sulam

Methods which aim at universal applicability must be able to describe both weak and strong electronic correlation with equal facility. Such methods are in short supply. The combination of symmetry projection for strong correlation and…

Chemical Physics · Physics 2020-05-14 Yiheng Qiu , Thomas M. Henderson , Jinmo Zhao , Gustavo E. Scuseria

In health-pollution cohort studies, accurate predictions of pollutant concentrations at new locations are needed, since the locations of fixed monitoring sites and study participants are often spatially misaligned. For multi-pollution data,…

Applications · Statistics 2022-01-24 Phuong T. Vu , Adam A. Szpiro , Noah Simon

This paper studies the use of conformal prediction (CP), an emerging probabilistic forecasting method, for day-ahead photovoltaic power predictions to enhance participation in electricity markets. First, machine learning models are used to…

Machine Learning · Computer Science 2024-04-01 Yvet Renkema , Nico Brinkel , Tarek Alskaif

Mixing single and triple fermions an exact killing operator of the Coupled Cluster Doubles (CCD) wave function with good symmetry was found in \cite{Tohy13}. Using these operators with the equation of motion (EOM) method the so-called…

Nuclear Theory · Physics 2020-10-26 Mohsen Jemaï , Peter Schuck

A method for extending traditional plasma transport theories into the strong coupling regime is presented. Like traditional theories, this is based on a binary scattering approximation, but where physics associated with many body…

Plasma Physics · Physics 2014-05-09 Scott Baalrud , Jerome Daligault

We introduce the concept of parity symmetry in restricted spatial domains -- local parity -- and explore its impact on the stationary transport properties of generic, one-dimensional aperiodic potentials of compact support. It is shown…

Quantum Physics · Physics 2013-03-25 P. A. Kalozoumis , C. Morfonios , F. K. Diakonos , P. Schmelcher

Corner detection is a vital operation in numerous computer vision applications. The Chord-to-Point Distance Accumulation (CPDA) detector is recognized as the contour-based corner detector producing the lowest localization error while…

Computer Vision and Pattern Recognition · Computer Science 2017-08-22 Mohammad Asiful Hossain , Abdul Kawsar Tushar , Shofiullah Babor

The random phase approximation (RPA) as formulated as an orbital-dependent, fifth-rung functional within the density functional theory (DFT) framework offers a promising approach for calculating the ground-state energies and the derived…

Computational Physics · Physics 2023-07-25 Rong Shi , Peize Lin , Min-Ye Zhang , Lixin He , Xinguo Ren

We revisit the connection between equation-of-motion coupled cluster (EOM-CC) and random phase approximation (RPA) explored recently by Berkelbach [J. Chem. Phys. 149, 041103 (2018)] and unify various methodological aspects of these diverse…

Chemical Physics · Physics 2020-12-17 Varun Rishi , Ajith Perera , Rodney J. Bartlett

We present a longitudinal electrical conductivity calculation method for disordered alloys applicable from a wide range of density functional theory (DFT) codes based on the first-principles Wannier-based coherent potential approximation…

Materials Science · Physics 2024-08-08 Shota Namerikawa , Takashi Koretsune

The motion in a simple, time independent rational galactic potential is studied. The potential is a generalization of a two dimensional harmonic oscillator potential and can be considered to describe plane motion in the central parts of a…

Chaotic Dynamics · Physics 2013-03-05 Euaggelos E. Zotos