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We present a simple, general technique for reducing the sample complexity of matrix and tensor decomposition algorithms applied to distributions. We use the technique to give a polynomial-time algorithm for standard ICA with sample…

Data Structures and Algorithms · Computer Science 2015-06-22 Santosh S. Vempala , Ying Xiao

We prove the exponential convergence to a unique invariant measure for locally damped nonlinear Schr\"odinger equations, perturbed by bounded noise acting on only two Fourier modes. To tackle the lack of smoothing effect, we introduce…

Analysis of PDEs · Mathematics 2026-04-08 Yuxuan Chen , Shengquan Xiang , Zhifei Zhang

A numerical method optimizing the coefficients of the semi empirical mass formula or those of similar mass formulas is presented. The optimization is based on the least-squares adjustments method and leads to the resolution of a linear…

Nuclear Theory · Physics 2022-02-02 Benyoucef Mohammed-Azizi , Hadj Mouloudj

The model of induced quark currents formulated in our recent paper (Phys. Rev. D51, 176) is developed. The model being a kind of nonlocal extension of the bosonization procedure is based on the hypothesis that the QCD vacuum is realized by…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ja. V. Burdanov , G. V. Efimov , S. N. Nedelko , S. A. Solunin

Mass determinations from gravitational lensing shear and the higher order estimator flexion are both subject to the mass sheet degeneracy. Mass sheet degeneracy refers to a transformation that leaves the reduced shear and flexion invariant.…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Markus Rexroth , Priyamvada Natarajan , Jean-Paul Kneib

In some cases, computational benefit can be gained by exploring the hyper parameter space using a deterministic set of grid points instead of a Markov chain. We view this as a numerical integration problem and make three unique…

Computation · Statistics 2016-09-30 Chaitanya Joshi , Paul T. Brown , Stephen Joe

The task of Multiple Sequence Alignment (MSA) is a constrained combinatorial optimization problem that is generally considered a complex computational problem. In this paper, we first present a binary encoding of MSA and devise a…

The intrinsic alignment (IA) of galaxy shapes probes the underlying gravitational tidal field, thus offering cosmological information complementary to galaxy clustering. In this paper, we perform a Fisher forecast to assess the benefit of…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-06 Junsup Shim , Teppei Okumura , Atsushi Taruya

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

We provide an asymptotic expansion of the maximal mean squared error (MSE) of the sample median to be attained on shrinking gross error neighborhoods about an ideal central distribution. More specifically, this expansion comes in powers of…

Statistics Theory · Mathematics 2010-06-02 Peter Ruckdeschel

An exact, closed form, and easy to compute expression for the mean integrated squared error (MISE) of a kernel estimator of a normal mixture cumulative distribution function is derived for the class of arbitrary order Gaussian-based…

Methodology · Statistics 2020-03-04 Vitaliy Oryshchenko

We construct a model that allows us to determine the three neutrino masses and the mass matrix directly from the experimental mass squared differences delta atm and delta sol, using the assumptions of rational hierarchy (m1/m2 = m2/m3) and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Peter Kaus , Sydney Meshkov

The Sinc approximation applied to double-exponentially decaying functions is referred to as the DE-Sinc approximation. Because of its high efficiency, this method has been used in various applications. In the Sinc approximation, the mesh…

Numerical Analysis · Mathematics 2025-07-10 Tomoaki Okayama , Shota Ogawa

To improve the predictability of complex computational models in the experimentally-unknown domains, we propose a Bayesian statistical machine learning framework utilizing the Dirichlet distribution that combines results of several…

Methodology · Statistics 2023-11-06 Vojtech Kejzlar , Léo Neufcourt , Witold Nazarewicz

We consider a nonsmooth optimization problem on Riemannian manifold, whose objective function is the sum of a differentiable component and a nonsmooth convex function. We propose a manifold inexact augmented Lagrangian method (MIALM) for…

Optimization and Control · Mathematics 2019-12-02 Deng Kangkang , Peng Zheng

A chiral field theory of mesons has been applied to study the contribution of the current quark masses to the $\pi^0\rightarrow\gamma\gamma$ decay width at the next leading order. $2\%$ enhancement has been predicted and there is no new…

High Energy Physics - Phenomenology · Physics 2015-05-30 Bing An Li

Marginal MAP inference involves making MAP predictions in systems defined with latent variables or missing information. It is significantly more difficult than pure marginalization and MAP tasks, for which a large class of efficient and…

Machine Learning · Computer Science 2015-11-10 Wei Ping , Qiang Liu , Alexander Ihler

A generalisation of the narrow-width approximation (NWA) is formulated which allows for a consistent treatment of interference effects between nearly mass-degenerate particles in the factorisation of a more complicated process into…

High Energy Physics - Phenomenology · Physics 2014-11-19 Elina Fuchs , Silja Thewes , Georg Weiglein

We update our determinations of $f_{D^+}$, $f_{D_s}$, $f_K$, and quark mass ratios from simulations with four flavors of HISQ dynamical quarks. The availability of ensembles with light quarks near their physical mass means that we can…

We present our methods to fit the two point correlators for light, strange, and charmed pseudoscalar meson physics with the highly improved staggered quark (HISQ) action. We make use of the least-squares fit including the full covariance…