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The Massive Parallel Computation (MPC) model is a theoretical framework for popular parallel and distributed platforms such as MapReduce, Hadoop, or Spark. We consider the task of computing a large matching or small vertex cover in this…

Data Structures and Algorithms · Computer Science 2018-07-24 Krzysztof Onak

We present a theoretical model and its efficient numerical implementation for the simulation of wavelength-swept waveform propagation in fiber systems such as Fourier domain mode-locked (FDML) lasers, fully accounting for the polarization…

Optics · Physics 2018-10-12 Christian Jirauschek , Robert Huber

We develop a machine learning (ML) surrogate model to approximate solutions to Maxwell's equations in one dimension, focusing on scenarios involving a material interface that reflects and transmits electro-magnetic waves. Derived from…

Machine Learning · Computer Science 2026-04-02 Zhe Bai , Hans Johansen

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

Numerical Analysis · Mathematics 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

We describe a novel approach to statistical learning from particles tracked while moving in a random environment. The problem consists in inferring properties of the environment from recorded snapshots. We consider here the case of a fluid…

Information Theory · Computer Science 2008-06-09 Michael Chertkov , Lukas Kroc , Massimo Vergassola

Learned Image Compression (LIC) has shown remarkable progress in recent years. Existing works commonly employ CNN-based or self-attention-based modules as transform methods for compression. However, there is no prior research on neural…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Yuxi Liu , Wenhan Yang , Huihui Bai , Yunchao Wei , Yao Zhao

Cosmic microwave background (CMB) lensing is an integrated effect whose kernel is greater than half the peak value in the range $1<z<5$. Measuring this effect offers a powerful tool to probe the large-scale structure of the Universe at high…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-27 Toshiya Namikawa , Benjamin Bose , François R. Bouchet , Ryuichi Takahashi , Atsushi Taruya

In order to constrain the models describing circumstellar environments, it is necessary to solve the radiative transfer equation in the presence of absorption and scattering, coupled with the equation for radiative equilibrium. However,…

Solar and Stellar Astrophysics · Physics 2021-09-29 Jérémy Perdigon , Gilles Niccolini , Marianne Faurobert

Maximum a posteriori (MAP) inference is a fundamental computational paradigm for statistical inference. In the setting of graphical models, MAP inference entails solving a combinatorial optimization problem to find the most likely…

Machine Learning · Computer Science 2020-03-03 Jonathan N. Lee , Aldo Pacchiano , Michael I. Jordan

We study plasmon propagation on a metallic two-dimensional surface partially coated with a thin film of anomalous-Hall material. The resulting three regions, separated by two sharp interfaces, are characterised by different Hall…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Thomas Benjamin Smith , Iacopo Torre , Alessandro Principi

Maxwell equations describe the propagation of electromagnetic waves and are therefore fundamental to understanding many problems encountered in the study of antennas and electromagnetics. The aim of this paper is to propose and analyse an…

Numerical Analysis · Mathematics 2022-10-13 Bin Wang , Yaolin Jiang

We present a methodology for designing metagratings for perfect anomalous refraction, based on multilayered loaded wire arrays. In recent work, it has been shown that such structures can implement perfect anomalous deflection and beam…

Applied Physics · Physics 2018-04-09 Ariel Epstein , Oshri Rabinovich

Large language models (LLMs) achieve remarkable performance through ever-increasing parameter counts, but scaling incurs steep computational costs. To better understand LLM scaling, we study representational differences between LLMs and…

Programmable optical devices provide performance enhancement and flexibility to spatial multiplexing systems enabling transmission of tributaries in high-order eigenmodes of spatially-diverse transmission media, like multimode fiber (MMF).…

In this paper, we propose a computational framework for the optimal design of broadband absorbing materials composed of plasmonic nanoparticle arrays. This design problem poses several key challenges: (1) the complex multi-particle…

Numerical Analysis · Mathematics 2025-08-07 Yu Gao , Hai Zhang , Kai Zhang

Lattices of compatibly embedded finite fields are useful in computer algebra systems for managing many extensions of a finite field $\mathbb{F}_p$ at once. They can also be used to represent the algebraic closure $\bar{\mathbb{F}}_p$, and…

Number Theory · Mathematics 2020-01-07 Luca De Feo , Hugues Randriam , Édouard Rousseau

Relating the electromagnetic scattering and absorption properties of an individual particle to the reflection and transmission coefficients of a two-dimensional material composed of these particles is a crucial concept that has driven both…

Optics · Physics 2019-10-02 Romain Dezert , Philippe Richetti , Alexandre Baron

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

Graphics · Computer Science 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

Passive eavesdropping compromises confidentiality in wireless networks, especially in resource-constrained environments where heavyweight cryptography is impractical. Physical layer security (PLS) exploits channel randomness and spatial…

Cryptography and Security · Computer Science 2026-01-16 Yifan Zhang , Yishan Yang , Riku Jäntti , Zheng Yan , Dusit Niyato , Zhu Han

Continuum solvation models are becoming increasingly relevant in condensed matter simulations, allowing to characterize materials interfaces in the presence of wet electrified environments at a reduced computational cost with respect to all…

Computational Physics · Physics 2023-08-16 Gabriel Medrano , Edan Bainglass , Oliviero Andreussi