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The mixture of Gaussian distributions, a soft version of k-means , is considered a state-of-the-art clustering algorithm. It is widely used in computer vision for selecting classes, e.g., color, texture, and shapes. In this algorithm, each…

Machine Learning · Statistics 2016-12-30 Mahajabin Rahman , Davi Geiger

We express the probabilistic character associated to the wave function by treating it as a stochastic variable. This is accomplished by means of a stochastic equation for the wave function whose noise changes the phase of the wave function…

Quantum Physics · Physics 2026-01-08 Mário J. de Oliveira

Consider a lossy compression system with $\ell$ distributed encoders and a centralized decoder. Each encoder compresses its observed source and forwards the compressed data to the decoder for joint reconstruction of the target signals under…

Information Theory · Computer Science 2018-07-19 Yizhong Wang , Li Xie , Xuan Zhang , Jun Chen

The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a…

Analysis of PDEs · Mathematics 2018-06-21 Lorenzo Baldassari

We provide a broad overview of the theoretical status and phenomenological applications of the Color Glass Condensate effective field theory describing universal properties of saturated gluons in hadron wavefunctions that are extracted from…

High Energy Physics - Phenomenology · Physics 2011-06-07 F. Gelis , E. Iancu , J. Jalilian-Marian , R. Venugopalan

Perturbative Quantum Chromodynamics (pQCD) predicts that the small-$x$ gluons in a hadron wavefunction should form a Color Glass Condensate (CGC), characterized by a saturation scale $Q_s (x, A)$ which is energy and atomic number dependent.…

High Energy Physics - Phenomenology · Physics 2009-01-07 M. S. Kugeratski , V. P. Goncalves , F. S. Navarra

The generator coordinate method (GCM) casts the wavefunction as an integral over a weighted set of non-orthogonal single determinantal states. In principle this representation can be used like the configuration interaction (CI) or shell…

Nuclear Theory · Physics 2015-06-23 Jason L. Stuber

We consider a recently introduced extension of General Relativity dubbed as Cotton gravity (CG), based on the use of the Cotton tensor, to estimate the size of a new constant $\gamma$ appearing within a spherically symmetric, vacuum…

A conjectural expression of the asymptotic gap between the rate-distortion function of an arbitrary generalized Gaussian multiterminal source coding system and that of its centralized counterpart in the high-resolution regime is proposed.…

Information Theory · Computer Science 2019-08-19 Li Xie , Xiaolan Tu , Siyao Zhou , Jun Chen

A review of light-cone, covariant and gauge-invariant wave-functions of mesons is presented. They are basic non-perturbative objects needed for hard exclusive processes and for the method of light-cone QCD sum rules. The emphasis is on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Stoll

We propose that quantum physics is the continuous approximation of a more fundamental, discrete graph theory (theory X). Accordingly, the Euclidean transition amplitude Z provides a partition function for geometries over the graph, which is…

Quantum Physics · Physics 2012-08-14 W. M. Stuckey , Timothy McDevitt , Michael Silberstein

The single-particle Green's function (GF) of mesoscopic structures plays a central role in mesoscopic quantum transport. The recursive GF technique is a standard tool to compute this quantity numerically, but it lacks physical transparency…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Shu-Hui Zhang , Wen Yang , Kai Chang

Measurement in quantum mechanics is generally described as an irreversible process that perturbs the wavefunction describing a quantum system. In this work we establish a formal connection between the measurement description within the…

Quantum Physics · Physics 2016-05-17 Fabio L. Traversa , Guillermo Albareda

We outline a method of relating the quantum effective action and the ground state wave function of a field theory. This method, along with a gauge-invariant mass term and the previously obtained vacuum wave function, is used to arrive at…

High Energy Physics - Theory · Physics 2012-01-05 V. P. Nair

The nature of confinement is connected with color charge. Unfortunately, the color charge densities in QCD, the Noether charge densities associated with the global color invariance, are not invariant under local color rotations. This…

High Energy Physics - Lattice · Physics 2025-09-17 Thomas D. Cohen

We study the feasibility of applying the Generator Coordinate Method (GCM) of self-consistent mean-field theory to calculate decay widths of composite particles to composite-particle final states. The main question is how well the GCM can…

Nuclear Theory · Physics 2019-03-27 G. F. Bertsch , W. Younes

We modify the McLerran-Venugopalan model to include only a finite number of sources of color charge. We argue that Coulombic interactions between these color charges generates a source-source correlation function that properly includes the…

High Energy Physics - Phenomenology · Physics 2016-10-12 Larry McLerran , Vladimir V. Skokov

The development of high-resolution imaging methods such as electron and scanning probe microscopy and atomic probe tomography have provided a wealth of information on structure and functionalities of solids. The availability of this data in…

Materials Science · Physics 2022-11-08 Sergei V. Kalinin , Ayana Ghosh , Rama Vasudevan , Maxim Ziatdinov

Scanning gate microscopy of quantum point contacts (QPC) in the integer quantum Hall regime is considered in terms of the scattering wave functions with a finite-difference implementation of the quantum transmitting boundary approach.…

Mesoscale and Nanoscale Physics · Physics 2014-04-17 K. Kolasiński , B. Szafran

We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-$N$ gauge theories. For concreteness, we focus on a simple holographic…

High Energy Physics - Theory · Physics 2021-05-21 Brandon S. DiNunno , Niko Jokela , Juan F. Pedraza , Arttu Pönni