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The normalized radial basis function neural network emerges in the statistical modeling of natural laws that relate components of multivariate data. The modeling is based on the kernel estimator of the joint probability density function…

数据分析、统计与概率 · 物理学 2007-05-23 I. Grabec

Recent developments have made it possible to overcome grid-based limitations of finite difference (FD) methods by adopting the kernel-based meshless framework using radial basis functions (RBFs). Such an approach provides a meshless…

数值分析 · 数学 2019-01-07 Pankaj K Mishra , Gregory E Fasshauer , Mrinal K Sen , Leevan Ling

This paper aims to survey our recent work relating to the radial basis function (RBF) from some new views of points. In the first part, we established the RBF on numerical integration analysis based on an intrinsic relationship between the…

计算工程、金融与科学 · 计算机科学 2007-05-23 W. Chen , M. Tanaka

A new compact quad-band notch filter (QBNF) based on the extended composite right and left-handed transmission line (E-CRLH TL) has been presented. As known, E-CRLH TL behaves like a quad-band structure. A microstrip TL which is loaded with…

信号处理 · 电气工程与系统科学 2024-09-04 R. Keshavarz , Y. Miyanaga , M. Yamamoto , T. Hikage , N. Shariati

Hole-spin qubits in semiconductors represent a mature platform for quantum technological applications. Here we consider their use as quantum sensors, and specifically for inferring the presence and estimating the distance from the qubit of…

介观与纳米尺度物理 · 物理学 2023-11-21 Gaia Forghieri , Andrea Secchi , Andrea Bertoni , Paolo Bordone , Filippo Troiani

Distributionally robust reinforcement learning (DRRL) focuses on designing policies that achieve good performance under model uncertainties. The goal is to maximize the worst-case long-term discounted reward, where the data for RL comes…

机器学习 · 计算机科学 2026-03-17 Saptarshi Mandal , Yashaswini Murthy , R. Srikant

Neural networks allow Q-learning reinforcement learning agents such as deep Q-networks (DQN) to approximate complex mappings from state spaces to value functions. However, this also brings drawbacks when compared to other function…

机器学习 · 计算机科学 2018-06-21 Jack Shannon , Marek Grzes

Any reasonable measure of distinguishability of quantum states must satisfy a data processing inequality, that is, it must not increase under the action of a quantum channel. We can ask about the proportion of information lost or preserved…

量子物理 · 物理学 2025-10-15 Shreyas Iyer , Peixue Wu , Paula Belzig , Graeme Smith

We study the concept of entanglement distance between two quantum states which quantifies the amount of information shared between their reduced density matrices (RDMs). Using analytical arguments combined with…

强关联电子 · 物理学 2017-10-18 Mohammad-Sadegh Vaezi , Abolhassan Vaezi

Recent work has shown the promise of applying deep learning to enhance software processing of radio frequency (RF) signals. In parallel, hardware developments with quantum RF sensors based on Rydberg atoms are breaking longstanding barriers…

量子物理 · 物理学 2025-04-24 Pranav Gokhale , Caitlin Carnahan , William Clark , Teague Tomesh , Frederic T. Chong

Concurrent remote entanglement of distant, non-interacting quantum entities is a crucial function for quantum information processing. In contrast with the existing protocols which employ addition of signals to generate entanglement between…

量子物理 · 物理学 2017-12-11 Ananda Roy , Liang Jiang , A. Douglas Stone , Michel Devoret

The prediction of spectral properties via linear response (LR) theory is an important tool in quantum chemistry for understanding photo-induced processes in molecular systems. With the advances of quantum computing, we recently adapted this…

In this is work, an investigation on the two-photon Rabi Stark model as a function of the coupling strength under the effect of different Stark coupling strength values is treated. Here, we numerically explore the spectral collapse of the…

量子物理 · 物理学 2024-09-10 Zakaria Boutakka , Zoubida Sakhi , Mohamed Bennai

Within framework of the quantum calculus, we represent the partition function and the mass exponent of a multifractal, as well as the average of random variables distributed over self-similar set, on the basis of the deformed expansion in…

统计力学 · 物理学 2009-07-24 Alexander Olemskoi , Irina Shuda

Inspired by the recent work of Carleo and Troyer[1], we apply machine learning methods to quantum mechanics in this article. The radial basis function network in a discrete basis is used as the variational wavefunction for the ground state…

量子物理 · 物理学 2018-09-17 Peiyuan Teng

We propose an effective approach to rapid estimation of the energy spectrum of quantum systems with the use of machine learning (ML) algorithm. In the ML approach (back propagation), the wavefunction data known from experiments is…

计算物理 · 物理学 2020-01-29 Gennadiy Burlak

We analyze two ways to obtain distinguishability measures between quantum maps by employing the square root of the quantum Jensen-Shannon divergence, which forms a true distance in the space of density operators. The arising measures are…

量子物理 · 物理学 2023-07-19 Diego G. Bussandri , Pedro W. Lamberti , Karol Życzkowski

While quantum annealing (QA) has been developed for combinatorial optimization, practical QA devices operate at finite temperature and under noise, and their outputs can be regarded as stochastic samples close to a Gibbs--Boltzmann…

量子物理 · 物理学 2026-01-14 Yasushi Hasegawa , Masayuki Ohzeki

A number of fundamental quantities in statistical signal processing and information theory can be expressed as integral functions of two probability density functions. Such quantities are called density functionals as they map density…

信息论 · 计算机科学 2018-02-14 Alan Wisler , Visar Berisha , Andreas Spanias , Alfred O. Hero

In the present work, we introduce the Lambert-Tsallis Wq function. It is a generalization of the Lambert W function, that solves the equation Wq(x)expq(Wq(x)) = x, where expq(x) is the q-exponential used by Tsallis in nonextensive…

统计力学 · 物理学 2019-05-01 G. B. da Silva , R. V. Ramos