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The use of Euler-Lagrange methods on unstructured grids extends their application area to more versatile setups. However, the lack of a regular topology limits the scalability of distributed parallel methods, especially for routines that…

Computational Physics · Physics 2022-10-14 Patrick Kopper , Stephen Copplestone , Marcel Pfeiffer , Christian Koch , Stefanos Fasoulas , Andrea Beck

Markov Chain Monte Carlo methods are algorithms used to sample probability distributions, commonly used to sample the Boltzmann distribution of physical/chemical models (e.g., protein folding, Ising model, etc.). This allows us to study…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-04 Aingeru Ramos , Jose A Pascual , Javier Navaridas , Ivan Coluzza

As electronic structure simulations continue to grow in size, the system-size scaling of computational costs increases in importance relative to cost prefactors. Presently, linear-scaling costs for three-dimensional systems are only…

Computational Physics · Physics 2019-07-04 Jonathan E. Moussa , Andrew D. Baczewski

A new algorithm for efficient exact maximum likelihood decoding of polar codes (which may be CRC augmented), transmitted over the binary erasure channel, is presented. The algorithm applies a matrix triangulation process on a sparse polar…

Information Theory · Computer Science 2021-06-29 Yonatan Urman , David Burshtein

Strong foreground contamination in high resolution CMB data requires masking which introduces statistical anisotropies and renders a full maximum likelihood analysis numerically intractable. Standard analysis methods like the pseudo-C_l…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-26 H. F. Gruetjen , E. P. S. Shellard

Earlier papers introduced a method of accurately estimating the angular cosmic microwave background (CMB) temperature power spectrum based on Gibbs sampling. Here we extend this framework to polarized data. All advantages of the Gibbs…

We extend our maximum likelihood method for reconstructing the cluster-mass cross-correlation from cosmic microwave background (CMB) temperature anisotropies and develop new estimators that utilize six different quadratic combinations of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Jaiyul Yoo , Matias Zaldarriaga , Lars Hernquist

By combining conventional finite-temperature many-body perturbation theory with cluster expansions, we develop a systematic method to carry out high order arbitrary temperature perturbative calculations on the computer. The method is well…

Strongly Correlated Electrons · Physics 2009-10-30 Norbert Elstner , Rajiv. R. P. Singh

Targeting high-throughput and low-power communications, we implement two successive cancellation (SC) decoders for polar codes. With $16nm$ ASIC technology, the area efficiency and energy efficiency are $4Tbps/mm^2$ and $0.63pJ/bit$,…

Information Theory · Computer Science 2021-07-20 Jiajie Tong , Xianbin Wang , Qifan Zhang , Huazi Zhang , Rong Li , Jun Wang , Wen Tong

Madam is a CMB map-making code, designed to make temperature and polarization maps of time-ordered data of total power experiments like Planck. The algorithm is based on the destriping technique, but it also makes use of known noise…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 E. Keihanen , R. Keskitalo , H. Kurki-Suonio , T. Poutanen , A. -S. Sirvio

We extend the pure pseudo-power-spectrum formalism proposed recently in the context of the Cosmic Microwave Background polarized power spectra estimation by Smith (2006) to incorporate cross-spectra computed for multiple maps of the same…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-09 J. Grain , M. Tristram , R. Stompor

Markov Chain Monte Carlo (MCMC) algorithms are essential tools in computational statistics for sampling from unnormalised probability distributions, but can be fragile when targeting high-dimensional, multimodal, or complex target…

A new method for estimating the angular power spectrum C_l from cosmic microwave background (CMB) maps is presented, which has the following desirable properties: (1) It is unbeatable in the sense that no other method can measure C_l with…

Astrophysics · Physics 2009-10-07 Max Tegmark

We propose a unitary precoding scheme, namely polar-precoding, to improve the performance of polar-coded MIMO systems. In contrast to the traditional design of MIMO precoding criteria, the proposed polar-precoding scheme relies on the…

Information Theory · Computer Science 2021-09-15 Jinnan Piao , Kai Niu , Jincheng Dai , Lajos Hanzo

Exploring Cosmic History and Origins (ECHO), popularly known as `CMB-Bh$\overline{a}$rat', is a space mission that has been proposed to the Indian Space Research Organisation (ISRO) for the scientific exploitation of the Cosmic Microwave…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-26 Debabrata Adak , Aparajita Sen , Soumen Basak , Jacques Delabrouille , Tuhin Ghosh , Aditya Rotti , Ginés Martínez-Solaeche , Tarun Souradeep

Accurate on-chip temperature sensing is critical for the optimal performance of modern CMOS integrated circuits (ICs), to understand and monitor localized heating around the chip during operation. The development of quantum computers has…

We present a novel, JAX-powered implementation of a parametric component-separation method for CMB polarization data, explicitly designed to handle spatially varying foreground Spectral Energy Distributions (SEDs). The approach models this…

We consider the scientifically challenging and policy-relevant task of understanding the past and projecting the future dynamics of the Antarctic ice sheet. The Antarctic ice sheet has shown a highly nonlinear threshold response to past…

Applications · Statistics 2019-08-20 Ben Seiyon Lee , Murali Haran , Robert Fuller , David Pollard , Klaus Keller

Parallel tempering is a meta-algorithm for Markov Chain Monte Carlo that uses multiple chains to sample from tempered versions of the target distribution, enhancing mixing in multi-modal distributions that are challenging for traditional…

Computation · Statistics 2024-12-30 Daniel Zhao , Natesh S. Pillai

We introduce a computational method to discover polymorphs in molecular crystals at finite temperature. The method is based on reproducing the crystallization process starting from the liquid and letting the system discover the relevant…

Chemical Physics · Physics 2020-04-10 Pablo M. Piaggi , Michele Parrinello
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