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We study the recovery results of $\ell_p$-constrained compressive sensing (CS) with $p\geq 1$ via robust width property and determine conditions on the number of measurements for standard Gaussian matrices under which the property holds…

信息论 · 计算机科学 2017-08-28 Zhiyong Zhou , Jun Yu

We obtain the reduced CMB data $\{l_A, R, z_*\}$ from WMAP9, WMAP9+BICEP2, Planck+WP and Planck+WP+BICEP2 for the $\Lambda$CDM and $w$CDM models with or without spatial curvature. We then use these reduced CMB data in combination with…

宇宙学与河外天体物理 · 物理学 2015-07-06 Rong-Gen Cai , Zong-Kuan Guo , Bo Tang

We discuss the accuracy of mass models for extrapolating to very asymmetric nuclei and the impact of such extrapolations on the predictions of isotopic observables in multifragmentation. We obtain improved mass predictions by incorporating…

Maximum entropy (MAXENT) method has a large number of applications in theoretical and applied machine learning, since it provides a convenient non-parametric tool for estimating unknown probabilities. The method is a major contribution of…

数据分析、统计与概率 · 物理学 2020-12-18 A. E. Allahverdyan , N. H. Martirosyan

A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For…

偏微分方程分析 · 数学 2023-05-31 Florian Behr , Georg Dolzmann , Klaus Hackl , Ghina Jezdan

In the framework of the probabilistic method in combinatorics, we revisit the entropy compression method clarifying the setting in which it can be applied and providing a theorem yielding a general constructive criterion. We finally…

组合数学 · 数学 2019-12-12 Rogério G. Alves , Aldo Procacci , Remy Sanchis

We develop the model of the critical phenomena of strongly interacting matter at high temperatures and baryon densities. The dual Yang-Mills theory with scalar degrees of freedom (the dilatons) is used. The dilatons are the consequence of a…

高能物理 - 唯象学 · 物理学 2016-02-17 G. Kozlov

The finite basis optimized effective potential (OEP) method within density functional theory is examined as an ill-posed problem. It is shown that the generation of nonphysical potentials is a controllable manifestation of the use of…

材料科学 · 物理学 2009-11-11 Tim Heaton-Burgess , Felipe A. Bulat , Weitao Yang

In this work we focus on a recently introduced method [1] to construct the external potential $v$ that, for a given initial state, produces a prescribed time-dependent density in an interacting quantum many-body system. We show how this…

量子物理 · 物理学 2014-12-12 S. E. B. Nielsen , M. Ruggenthaler , R. van Leeuwen

We associate to every entanglement measure a family of measures which depend on a precision parameter, and which we call epsilon-measures of entanglement. Their definition aims at addressing a realistic scenario in which we need to estimate…

量子物理 · 物理学 2008-11-21 Caterina Mora , Marco Piani , Hans Briegel

An iterative optimization approach that simultaneously minimizes the energy and optimizes the Lagrange multipliers enforcing desired constraints is presented. The method is tested on previously established benchmark systems and it is proved…

计算物理 · 物理学 2018-08-15 D. Kidd , A. S. Umar , K. Varga

The entropy power inequality for independent random vectors is a foundational result of information theory, with deep connections to probability and geometric functional analysis. Several extensions of the entropy power inequality have been…

信息论 · 计算机科学 2025-12-23 Mokshay Madiman , James Melbourne , Cyril Roberto

The problem of identification over a discrete memoryless wiretap channel is examined under the criterion of semantic effective secrecy. This secrecy criterion guarantees both the requirement of semantic secrecy and of stealthy…

We analyze an optimal stopping problem with a series of inequality-type and equality-type expectation constraints in a general non-Markovian framework. We show that the optimal stopping problem with expectation constraints (OSEC) in an…

最优化与控制 · 数学 2023-02-10 Erhan Bayraktar , Song Yao

Recently, communication systems that are both spectrum and energy efficient have attracted significant attention. Different from the existing research, we investigate the throughput and energy efficiency of a general class of multiple-input…

信息论 · 计算机科学 2017-12-05 Marwan Hammouda , Sami Akın , M. Cenk Gursoy , Jürgen Peissig

In this paper, a novel machine learning derived control performance assessment (CPA) classification system is proposed. It is dedicated for a wide class of PID-based control industrial loops with processes exhibiting dynamical properties…

系统与控制 · 电气工程与系统科学 2023-03-08 Patryk Grelewicz , Thanh Tung Khuat , Jacek Czeczot , Pawel Nowak , Tomasz Klopot , Bogdan Gabrys

The energy spectrum of nuclear recoils in Weakly Interacting Massive Particle (WIMP) direct detection experiments depends on the underlying WIMP mass. We study how the accuracy with which the WIMP mass could be determined by a single direct…

高能物理 - 唯象学 · 物理学 2008-11-26 Anne M. Green

This is a brief progress report on a long-term collaborative project to measure the power spectrum (PS) of mass density fluctuations from the Mark III and the SFI catalogs of peculiar velocities. The PS is estimated by applying maximum…

天体物理学 · 物理学 2007-05-23 Idit Zehavi

In this paper we present a basis selection method that can be used with $\ell_1$-minimization to adaptively determine the large coefficients of polynomial chaos expansions (PCE). The adaptive construction produces anisotropic basis sets…

数值分析 · 计算机科学 2015-06-22 John D. Jakeman , Michael S. Eldred , Khachik Sargsyan

This article proposes a concept called Condensed Electromagnetic Radiation (CER) as the electromagnetic origin of mass particles. An overwhelming amount of experimental evidence is consistent with the CER concept as a fundamental…

综合物理 · 物理学 2007-05-23 Erik Haeffner