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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Condensation in deep learning
深度学习 凝结 神经网络
2023/4/28
Why do neural networks (NN) that look so complex usually generalize well? To understand this problem, we find some simple implicit regularizations during training NNs. The first is the frequency princ...
Condensation heat transfer of steam on vertical dropwise and filmwise coexisting surfaces with a thick organic film promoting dropwise
蒸汽 滴状 膜状 DFC 冷凝传热
2023/3/1
This article describes an experimental investigation of the condensation heat transfer of steam on dropwise and filmwise coexisting (DFC) surfaces, on which dropwise and filmwise exist simultaneously ...
Grooving of a grain boundary by evaporation–condensation below the roughening transition
grain boundary evaporation–condensation below roughening transition
2015/10/16
The development of surface grooves at grain boundaries that intersect a planar surface is analyzed for the case that the evolution occurs below the thermodynamic roughening transition by evaporation–c...
BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
We study stationary quantum fluctuations around a mean field limit in trapped, dilute atomic gases of repulsively interacting bosons at zero temperature. Our goal is to describe quantum-mechanically t...
ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
BOSE-EINSTEIN CONDENSATION AT FINITE TEMPERATURES:MEAN FIELD LAWS WITH PERIODIC MICROSTRUCTURE
quantum dynamics Bose-Einstein condensation periodic homogenization finite temperatures two-scale expansion mean field limit
2015/10/16
At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the lang...
Bose-Einstein condensation of tunnelling photons in the brain cortex as a mechanism of conscious action
Quantum brain dynamics (QBD) consciousness
2015/7/30
Mind is supposed to be a macroscopic quantum wave governing the dynamics of the quantum coherent cytoskeletal protein system inside the cytoplasm of the brain cortical neurons. Its dynamical timescale...
Statistical Sentence Condensation using Ambiguity Packing and Stochastic Disambiguation MethodsforLexical-Functional Grammar
Ambiguity Packing Stochastic Disambiguation
2015/6/23
An experimental evaluation of summarization quality shows a
close correlation between the automatic
parse-based evaluation and a manual evaluation of generated strings.
Lattice and Momentum Space Approach to Bound States and Excitonic Condensation via User Friendly Interfaces
exciton condensation Lattice
2015/1/19
In this thesis, we focus on two broad categories of problems, exciton condensation and bound states, and two complimentary approaches, real and momentum space, to solve these problems. In chapter 2 we...
Bose-Einstein condensation in a harmonic potential
Bose - Einstein condensation thermodynamics space condensation the particles
2014/12/23
We examine several features of Bose-Einstein condensation (BEC) in an external harmonic potential well. In the thermodynamic limit, there is a phase transition to a spatial Bose-Einstein condensed sta...
A study of Bose-Einstein condensation in a two-dimensional trapped gas
Bose - Einstein condensation particles bose particle condensed state thermodynamics
2014/12/22
We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacti...
Validity of the Hohenberg Theorem for a Generalized Bose-Einstein Condensation in Two Dimensions
Bose - Einstein condensation horn theorem states generalized condensation
2014/12/22
Several authors have considered the possibility of a generalized Bose-Einstein condensation (BEC) in which a band of low states is occupied so that the total occupation number is macroscopic, even if ...
The loop-gas approach to Bose-Einstein condensation for trapped particles
Bose - Einstein condensation particles the wave function is symmetrical cellular automata harmonic oscillator
2014/12/22
We examine Bose–Einstein condensation (BEC) for particles trapped in a harmonic potential by considering it as a transition in the length of permutation cycles that arise from wave-function symmetry. ...
Bose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics
Gas bose Einstein condensation partition function condensation
2014/12/20
We calculate certain features of Bose–Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain...
Absence of fragmentation in two-dimensional Bose-Einstein condensation
Bose gas condensate harmonic oscillator characteristic function
2014/12/20
We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density...