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Related papers: MOLPOP-CEP: An Exact, Fast Code for Multi-Level Sy…

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We present a new method, the Coupled Escape Probability (CEP), for exact calculation of line emission from multi-level systems, solving only algebraic equations for the level populations. The CEP formulation of the classical two-level…

Astrophysics · Physics 2009-11-13 Moshe Elitzur , Andres Asensio Ramos

Radiative transfer effects need to be taken into account when analysing spectral line observations. When the data are not sufficient for detailed modelling, simpler methods are needed. The escape probability formalism (EPF) is one such…

Instrumentation and Methods for Astrophysics · Physics 2025-04-16 Mika Juvela

We analyze the line radiative transfer in protoplanetary disks using several approximate methods and a well-tested Accelerated Monte Carlo code. A low-mass flaring disk model with uniform as well as stratified molecular abundances is…

Astrophysics · Physics 2009-11-13 Ya. Pavlyuchenkov , D. Semenov , Th. Henning , St. Guilloteau , V. Pietu , R. Launhardt , A. Dutrey

A common way to simulate the transport and spread of pollutants in the atmosphere is via stochastic Lagrangian dispersion models. Mathematically, these models describe turbulent transport processes with stochastic differential equations…

Large-scale multiple-input-multiple-output (MIMO) systems typically operate in dense array deployments with limited scattering environments, leading to highly correlated and ill-conditioned channel matrices that severely degrade the…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Kabuto Arai , Takumi Yoshida , Takumi Takahashi , Koji Ishibashi

We present a new, for plasma physics, highly efficient multilevel Monte Carlo numerical method for simulating Coulomb collisions. The method separates and optimally minimizes the finite-timestep and finite-sampling errors inherent in the…

Plasma Physics · Physics 2015-08-12 M. S. Rosin , L. F. Ricketson , A. M. Dimits , R. E. Caflisch , B. I. Cohen

Monte Carlo methods provide detailed and accurate results for radiation transport simulations. Unfortunately, the high computational cost of these methods limits its usage in real-time applications. Moreover, existing computer codes do not…

Computational Physics · Physics 2021-06-21 V. Giménez-Alventosa , V. Giménez Gómez , S. Oliver Gil

Comparison is made between a number of independent computer programs for radiative transfer in molecular rotational lines. The test models are spherically symmetric circumstellar envelopes with a given density and temperature profile. The…

Training language models on long sequence data is a demanding requirement for enhancing the model's capability on complex tasks, e.g., long-chain reasoning. However, as the sequence length scales up, the memory cost for storing activation…

Machine Learning · Computer Science 2025-06-04 Qijun Luo , Mengqi Li , Lei Zhao , Xiao Li

Tau-leaping is a popular discretization method for generating approximate paths of continuous time, discrete space, Markov chains, notably for biochemical reaction systems. To compute expected values in this context, an appropriate…

Numerical Analysis · Mathematics 2014-08-04 David F. Anderson , Desmond J. Higham , Yu Sun

We present Path Integral Monte Carlo C code for calculation of quantum mechanical transition amplitudes for 1D models. The SPEEDUP C code is based on the use of higher-order short-time effective actions and implemented to the maximal order…

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

Optimization and Control · Mathematics 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

Multi-product pipelines are a highly efficient means of transporting liquids. Traditionally used to transport petroleum, its products and derivatives, they are now being repurposed to transport liquified natural gas admixed with hydrogen of…

Optimization and Control · Mathematics 2023-12-19 Ales Wodecki , Pavel Rytir , Vyacheslav Kungurtsev , Jakub Marecek

We investigate techniques for designing modulation/coding schemes for the wireless two-way relaying channel. The relay is assumed to have perfect channel state information, but the transmitters are assumed to have no channel state…

Information Theory · Computer Science 2011-07-29 Brett Hern , Krishna Narayanan

In biochemically reactive systems with small copy numbers of one or more reactant molecules, the dynamics is dominated by stochastic effects. To approximate those systems, discrete state-space and stochastic simulation approaches have been…

Numerical Analysis · Mathematics 2020-07-13 Chiheb Ben Hammouda , Alvaro Moraes , Raul Tempone

We present the tree-structure expectation propagation (Tree-EP) algorithm to decode low-density parity-check (LDPC) codes over discrete memoryless channels (DMCs). EP generalizes belief propagation (BP) in two ways. First, it can be used…

Information Theory · Computer Science 2015-03-19 Pablo M. Olmos , Juan José Murillo-Fuentes , Fernando Pérez-Cruz

Coordinated multi-point (CoMP) transmission has been widely recognized as a spectrally efficient technique in future cellular systems. To exploit the abundant patial resources provided by the cooperating base stations, however, considerable…

Networking and Internet Architecture · Computer Science 2012-09-03 Qian Zhang , Chenyang Yang

The immense model sizes of large language models (LLMs) challenge deployment on memory-limited consumer GPUs. Although model compression and parameter offloading are common strategies to address memory limitations, compression can degrade…

Computation and Language · Computer Science 2025-10-10 Pei-Shuo Wang , Jian-Jia Chen , Chun-Che Yang , Chi-Chih Chang , Ning-Chi Huang , Mohamed S. Abdelfattah , Kai-Chiang Wu

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

Information Theory · Computer Science 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

This paper addresses the challenge of achieving security in semantic communication (SemCom) over a wiretap channel, where a legitimate receiver coexists with an eavesdropper experiencing a poorer channel condition. Despite previous efforts…

Information Theory · Computer Science 2025-09-05 Weixuan Chen , Shuo Shao , Qianqian Yang , Zhaoyang Zhang , Ping Zhang
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