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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Entropy-Dissipation Informed Neural Networks for McKean-Vlasov type PDEs
McKean-Vlasov型 偏微分方程 熵耗散 信息神经网络
2023/4/13
We extend the concept of self-consistency for the Fokker-Planck equation (FPE) [Shen et al., 2022] to the more general McKean-Vlasov equation (MVE). While FPE describes the macroscopic behavior of par...
最近，理学院物理系本科生王亚鹏以第一作者的身份在MDPI旗下的国际学术期刊Entropy（IF：2.494）上发表题为“Digital quantum simulation of nonadiabatic geometric gates via shortcuts to adiabaticity”的学术论文。王亚鹏为2017级物理系应用物理专业本科生。2019年底进入上海大学量子人工智能科学技术中...
By precisely measuring the entropy of a cerium copper gold alloy with baffling electronic properties cooled to nearly absolute zero, physicists in Germany and the United States have gleaned new eviden...
We present an analytical study on the resilience of topological order after a quantum quench. The system is initially prepared in the ground state of the toric-code model, and then quenched by switchi...
Postprocessing for quantum random-number generators: Entropy evaluation and randomness extraction
Postprocessing quantum random-number generator Entropy evaluation randomness extraction
2016/1/23
Quantum random-number generators (QRNGs) can offer a means to generate information-theoretically provable random numbers, in principle. In practice, unfortunately, the quantum randomness is inevitably...
Maximum entropy estimation of values at Mt. Etna: comparison with conventional least squares and maximum likelihood results and correlation with volcanic activity
frequency-magnitude distribution maximim entropy method Mt. Etna
2015/10/8
The variations of the b coefficient in the frequency-magnitude relationship for earthquakes which occurred at Mt. Etna from 01/01/90 to 31/12/92 are analyzed; the completeness threshold for our earthq...
The entropy of coupled map lattices with respect to the group
of space-time translations is considered. We use the notion of generalized
Lyapunov spectra ([11]) to prove the analogue of Ruelle inequ...
Fix a topological system (X, T), with its space K(X, T) of Tinvariant Borel probabilities. If (Y, S) is a symbolic system (subshift) and ϕ : (Y, S) → (X, T) is a topological extension (factor map...
SYMBOLIC EXTENSION ENTROPY:Cr EXAMPLES,PRODUCTS AND FLOWS
SYMBOLIC EXTENSION ENTROPY Cr EXAMPLES PRODUCTS FLOWS
2015/9/29
Adapting techniques of Misiurewicz, for 1 ≤ r < ∞ we give an explicit construction of Cr maps with positiveresidual entropy. We also establish the behavior of symbolic extension entropy with respect t...
Zd SHIFTS OF FINITE TYPE WITHOUT EQUAL ENTROPY FULL SHIFT FACTORS
Zd SHIFTS FINITE TYPE ENTROPY FULL SHIFT
2015/9/29
For d ≥ 2, we use results of Hochman and Meyerovitch to construct examples of Zd shifts of finite type of entropy log N, N ∈ N, which cannot factor topologically onto the Zd Bernoulli shift on N symbo...
BOWEN’S ENTROPY-CONJUGACY CONJECTURE IS TRUE UP TO FINITE INDEX
BOWEN’S ENTROPY CONJUGACY CONJECTURE FINITE INDEX
2015/9/29
For a topological dynamical system (X, f), consisting of a continuous map f : X → X, and a (not necessarily compact) set Z ⊂ X, Bowen [2] defined a dimension-like version of entropy,hX(f, Z). In...
Entropy and random feedback
Convex function matrix spectrum application linear controller design
2015/8/11
The gamma-entropy is a convex function of matrices that is closely related to the Frobenius and spectral (maximum singular value) norms. It comes up in several applications such as central H-infinity ...
Estimators for the Entropy Rate of Binary Hidden Markov Processes(英文)
Binary hidden Markov process entropy rate bound estimator,algorithm
2015/5/28
The entropy rate of a hidden Markov process (HMP) is important in theory and practical applications, but it is hard to get an analytical expression or obtain a numerical estimator. In this paper, a ne...
Entropy and Renormalized Solutions for the p(x)-Kaokacuab Equation with Measure Data
Variable exponents Entropy solutions Renormalized solutions Exist- ence Uniqueness
2015/5/4
In this paper we prove the existence and uniqueness of both entropy solutions and renormalized solutions for the p(x)-Laplacian equation with variable exponents and a signed measure in L 1 (Ω) +...
Entropy production by evapotranspiration and its geographic variation
hydrologic cycle evapotranspiration land surface entropy production principle of Maximum Entropy Production vegetation effects
2015/2/3
The hydrologic cycle is a system far from thermodynamic equilibrium that is characterized by its rate of entropy production in the climatological mean steady state. Over land, the hydrologic cycle is ...