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Dissipative quantum systems are frequently described within the framework of the so-called "system-plus-reservoir" approach. In this work we assign their description to the Maximum Entropy Formalism and compare the resulting thermodynamic…

Statistical Mechanics · Physics 2017-01-04 Lisan M. M. Durão , Amir O. Caldeira

We consider the numerical integration of conservation laws endowed with an entropy inequality and we study the residual of the scheme on this inequality, which represents the numerical entropy production. This idea has been introduced and…

Numerical Analysis · Mathematics 2025-11-19 Matteo Semplice , Alessandra Zappa

Maximum entropy distributions with discrete support in $m$ dimensions arise in machine learning, statistics, information theory, and theoretical computer science. While structural and computational properties of max-entropy distributions…

Data Structures and Algorithms · Computer Science 2019-06-04 Damian Straszak , Nisheeth K. Vishnoi

The maximum entropy ansatz, as it is often invoked in the context of time-series analysis, suggests the selection of a power spectrum which is consistent with autocorrelation data and corresponds to a random process least predictable from…

Probability · Mathematics 2008-07-19 Tryphon T. Georgiou

Generative models have achieved remarkable success across various applications, driving the demand for multi-GPU computing. Inter-GPU communication becomes a bottleneck in multi-GPU computing systems, particularly on consumer-grade GPUs. By…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Ke Hong , Xiuhong Li , Minxu Liu , Qiuli Mao , Tianqi Wu , Zixiao Huang , Lufang Chen , Zhong Wang , Yichong Zhang , Zhenhua Zhu , Guohao Dai , Yu Wang

Quantum approximate optimization algorithm (QAOA) aims to solve discrete optimization problems by sampling bitstrings using a parameterized quantum circuit. The circuit parameters (angles) are optimized in the way that minimizes the cost…

Quantum Physics · Physics 2023-11-29 A. Yu. Chernyavskiy , B. I. Bantysh , Yu. I. Bogdanov

We present a new outlook on the climate system thermodynamics, studying some of its macroscopic properties in terms of the 1st and 2nd laws of thermodynamics. We review and clarify the notion of efficiency of the climate system by…

Atmospheric and Oceanic Physics · Physics 2011-10-11 Valerio Lucarini

The continuous growth of big data applications with high computational and scalability demands has resulted in increasing popularity of cloud computing. Optimizing the performance and power consumption of cloud resources is therefore…

Hardware Architecture · Computer Science 2019-10-30 Sahand Salamat , Behnam Khaleghi , Mohsen Imani , Tajana Rosing

The asymptotic convergence of probability density function (pdf) and convergence of differential entropy are examined for the non-stationary processes that follow the maximum entropy principle (MaxEnt) and maximum entropy production…

Information Theory · Computer Science 2014-01-14 Alexander L. Fradkov , Dmitry S. Shalymov

The "high-entropy" paradigm has been applied to a central challenge in materials science, the design of new functional materials with enhanced performance for targeted applications, with some notable successes over the last twenty years.…

Materials Science · Physics 2026-02-23 Christopher A. Mizzi , Osman El-Atwani , Tannor T. J. Munroe , Saryu Fensin , Boris Maiorov

Machine-type communications (MTC) are crucial in the evolution of mobile communication systems. Within this context, we distinguish the so-called massive MTC (mMTC), where a large number of devices coexist in the same geographical area. In…

Signal Processing · Electrical Eng. & Systems 2024-12-10 Sergi Liesegang , Antonio Pascual-Iserte , Olga Muñoz

When constructing models of the world, we aim for optimal compressions: models that include as few details as possible while remaining as accurate as possible. But which details -- or features measured in data -- should we choose to include…

Quantitative Methods · Quantitative Biology 2025-05-06 David P. Carcamo , Nicholas J. Weaver , Purushottam D. Dixit , Christopher W. Lynn

We present a new methodology for the characterization of the metric entropy of infinite-dimensional ellipsoids with exponentially decaying semi-axes. This procedure does not rely on the explicit construction of coverings or packings and…

Functional Analysis · Mathematics 2024-05-21 Thomas Allard , Helmut Bölcskei

The escalating data volume and complexity resulting from the rapid expansion of artificial intelligence (AI), internet of things (IoT) and 5G/6G mobile networks is creating an urgent need for energy-efficient, scalable computing hardware.…

Faster, cheaper, and more power efficient optimization solvers than those currently offered by general-purpose solutions are required for extending the use of model predictive control (MPC) to resource-constrained embedded platforms. We…

Systems and Control · Computer Science 2017-10-13 Juan L. Jerez , Paul J. Goulart , Stefan Richter , George A. Constantinides , Eric C. Kerrigan , Manfred Morari

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

The entropy of an electronic system offers important insights into the nature of its quantum mechanical ground state. This is particularly valuable in cases where the state is difficult to identify by conventional experimental probes, such…

Optimization results are one method for understanding neural computation from Nature's perspective and for defining the physical limits on neuron-like engineering. Earlier work looks at individual properties or performance criteria and…

Neurons and Cognition · Quantitative Biology 2017-12-21 William B Levy , Toby Berger , Mustafa Sungkar

We consider large-scale linear inverse problems in Bayesian settings. Our general approach follows a recent line of work that applies the approximate message passing (AMP) framework in multi-processor (MP) computational systems by storing…

Information Theory · Computer Science 2016-11-17 Junan Zhu , Ahmad Beirami , Dror Baron

Comparison-based algorithms are algorithms for which the execution of each operation is solely based on the outcome of a series of comparisons between elements. Comparison-based computations can be naturally represented via the following…

Data Structures and Algorithms · Computer Science 2020-11-17 Michel Schellekens
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