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Stochastic approximation (SA) that involves multiple coupled sequences, known as multiple-sequence SA (MSSA), finds diverse applications in the fields of signal processing and machine learning. However, existing theoretical understandings…

Machine Learning · Computer Science 2024-10-18 Yue Huang , Zhaoxian Wu , Shiqian Ma , Qing Ling

A novel mass-lumping strategy for a mixed finite element approximation of Maxwell's equations is proposed. On structured orthogonal grids the resulting method coincides with the spatial discretization of the Yee scheme. The proposed method,…

Numerical Analysis · Mathematics 2018-10-16 Herbert Egger , Bogdan Radu

A quark mass matrix model $M_q=M_e^{1/2} O_q M_e^{1/2} $ is proposed where $M_e^{1/2}={\rm diag}(\sqrt{m_e},\sqrt{m_\mu},\sqrt{m_\tau})$ and $O_q$ is a unit matrix plus a rank one matrix. Up- and down-quark mass matrices $M_u$ and $M_d$ are…

High Energy Physics - Phenomenology · Physics 2010-11-01 H. Fusaoka , Y. Koide

We advocate a method to improve systematically the self-consistent harmonic approximation (or the Gaussian approximation), which has been employed extensively in condensed matter physics and statistical mechanics. We demonstrate the {\em…

High Energy Physics - Theory · Physics 2009-11-07 Jun Nishimura , Toshiyuki Okubo , Fumihiko Sugino

We study the problem of finding the global Riemannian center of mass of a set of data points on a Riemannian manifold. Specifically, we investigate the convergence of constant step-size gradient descent algorithms for solving this problem.…

Differential Geometry · Mathematics 2012-01-05 Bijan Afsari , Roberto Tron , René Vidal

Consider generalized adapted stochastic integrals with respect to independently scattered random measures with second moments. We use a decoupling technique, known as the "principle of conditioning", to study their stable convergence…

Probability · Mathematics 2007-05-23 Giovanni Peccati , Murad S. Taqqu

Neutrino masses and mixings are investigated on the basis of a universal seesaw mass matrix model, in which quark (except for top) and charged lepton mass matrices M_f and neutrino mass matrix M_\nu are given by M_f \simeq m_L M_F^{-1} m_R…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yoshio Koide

In this paper, we proposes the construction methods of sliced space-filling design when the quantitative factors are mixture components. Leveraging the representative points framework for distribution and energy distance decomposition…

Statistics Theory · Mathematics 2025-09-29 Zikang Xiong , Hong Qin , Yuning Huang , Jianhui Ning

Gaussian mixture filters for nonlinear systems usually rely on severe approximations when calculating mixtures in the prediction and filtering step. Thus, offline approximations of noise densities by Gaussian mixture densities to reduce the…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Ondŕej Straka , Uwe D. Hanebeck

The existing definitions of mixing angles (one-loop radiatively corrected and renormalization-scale-independent) for scalar particles turn out to be gauge-dependent when used in gauge theories. We show that a scale- and gauge-independent…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. R. Espinosa , Y. Yamada

In this paper, we propose a novel Dual Inexact Splitting Algorithm (DISA) for distributed convex composite optimization problems, where the local loss function consists of a smooth term and a possibly nonsmooth term composed with a linear…

Optimization and Control · Mathematics 2023-04-25 Luyao Guo , Xinli Shi , Shaofu Yang , Jinde Cao

Adaptive importance sampling (AIS) methods are increasingly used for the approximation of distributions and related intractable integrals in the context of Bayesian inference. Population Monte Carlo (PMC) algorithms are a subclass of AIS…

Computation · Statistics 2022-06-08 Víctor Elvira , Émilie Chouzenoux

Shape restriction, like monotonicity or convexity, imposed on a function of interest, such as a regression or density function, allows for its estimation without smoothness assumptions. The concept of $k$-monotonicity encompasses a family…

Statistics Theory · Mathematics 2023-06-09 Kang Wang , Subhashis Ghosal

Cell-Free Massive multiple-input multiple-output (MIMO) systems are investigated with the support of a reconfigurable intelligent surface (RIS). The RIS phase shifts are designed for improved channel estimation in the presence of spatial…

Information Theory · Computer Science 2025-07-15 Trinh Van Chien , Nguyen Hoang Viet , Symeon Chatzinotas , Lajos Hanzo

This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression models with stationary errors (with short or long-memory…

Methodology · Statistics 2024-04-24 Alex Rodrigo dos S. Sousa , Mauricio Zevallos

Understanding how an exposure transmits its effect through high-dimensional intermediaries is a central problem in observational research. We study the problem of finding a composite mediator that maximises the indirect effect of an…

Methodology · Statistics 2026-03-17 Zihuai He

We study the best M\"obius approximations (BMA) to convex and concave conformal mappings of the disk, including the special case of mappings onto convex polygons. The crucial factor is the location of the poles of the BMAs. Finer details…

Complex Variables · Mathematics 2023-08-09 Martin Chuaqui , Brad Osgood

We show how to estimate the enclosed mass from the observed motions of an ensemble of test particles. Traditionally, this problem has been attacked through virial or projected mass estimators. Here, we examine and extend these…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-16 J. An , N. W. Evans

We introduce a new Adaptive Integration Approach (AIA) to be used in a wide range of molecular simulations. Given a simulation problem and a step size, the method automatically chooses the optimal scheme out of an available family of…

Numerical Analysis · Computer Science 2016-11-23 Mario Fernández-Pendás , Elena Akhmatskaya , J. M. Sanz-Serna

For three decades, carrier-phase observations have been used to obtain the most accurate location estimates using global navigation satellite systems (GNSS). These estimates are computed by minimizing a nonlinear mixed-integer least-squares…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Ophir Uziel , Efi Fogel , Dan Halperin , Sivan Toledo