Article
Physics, Multidisciplinary
Zhiyue Lu, Hong Qian
Summary: This theory extends thermodynamics to arbitrary systems with a priori probability and establishes a duality symmetry, providing the foundation for classical and nanothermodynamics and offering a framework for extracting emergence from large data.
PHYSICAL REVIEW LETTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Konrad Jalowiecki, Marek M. Rams, Bartlomiej Gardas
Summary: The article demonstrates how to calculate the low energy spectrum of small spin-glass instances using modern GPUs or similar architectures, focusing mainly on the Ising model on arbitrary graphs. The algorithm performs an exhaustive search to select the lowest energy configurations with high accuracy and efficiency.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Mathematics, Applied
J. Apraiz, A. Doubova, E. Fernandez-Cara, M. Yamamoto
Summary: This article deals with one-dimensional inverse problems involving the Burgers equation and related nonlinear systems, aiming to determine the size of the spatial interval based on appropriate boundary observations of the solution. Uniqueness and non-uniqueness results are proven depending on the properties of the initial and boundary data, and numerical solutions are provided to compute approximations of the interval sizes.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2022)
Article
Physics, Multidisciplinary
Sergio Luiz Eduardo Ferreira da Silva, Gustavo Zampier dos Santos Lima, Joao Medeiros de Araujo, Gilberto Corso
Summary: Seismic inversion is a crucial procedure for estimating subsurface physical parameters from observed data. Research has shown that seismic inversion based on generalized statistics outperforms traditional methods in dealing with outliers and non-Gaussian errors.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
Tobias Kuhn, Frederic van Wijland
Summary: Modeling complex systems often involves finding model parameters consistent with known data, using expensive numerical approaches due to the lack of exact calculations. We propose a diagrammatic perturbative scheme that applies to systems with weak correlations around a non-Gaussian yet solvable probability weight, allowing for the study of systems with both discrete and continuous degrees of freedom.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Materials Science, Multidisciplinary
A. S. Popova, V. V. Tiunova, A. N. Rubtsov
Summary: The study introduces a new quantum-tunneling Monte Carlo method to address the slowdown issue faced by standard quantum Monte Carlo methods, enabling research on a variety of tunneling phenomena. Two distinct quasiparticle peaks associated with phonon-assisted tunneling and self-trapping are identified, showing changes in peak weights and spectral positions with increased coupling strength. Potential experimental realizations using cold atoms are discussed.
Article
Computer Science, Interdisciplinary Applications
Ameya D. Jagtap, Zhiping Mao, Nikolaus Adams, George Em Karniadakis
Summary: Accurate solutions to inverse supersonic compressible flow problems are crucial for designing specialized aerospace vehicles. We employ physics-informed neural networks (PINNs) and its extended version, XPINNs, to tackle these challenging inverse problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Applied
Farouq Mohammad A. Alam, Mazen Nassar
Summary: This article uses improved adaptive progressively Type-II censored data to estimate the entropy of the inverse Weibull distribution, using Renyi, q, and Shannon entropy measurements. Point and interval estimations are investigated through maximum likelihood and maximum product of spacing methods, and parametric bootstrap confidence intervals are considered. A Monte Carlo simulation study shows that estimation accuracy increases with sample size and decreased censoring level, and two applications to actual datasets support the superiority of adaptive or improved adaptive progressive censoring schemes in terms of minimum entropy measures.
Article
Multidisciplinary Sciences
Hassan Okasha, Mazen Nassar
Summary: This paper estimates the entropy for the inverse Weibull distribution using progressively Type-II censored data. Two estimation methods, maximum likelihood and maximum product of spacing, are used to estimate the entropy measures. The results show that maximum likelihood provides good point estimates, while the maximum product of spacing method has the shortest confidence interval lengths.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
(2022)
Article
Computer Science, Information Systems
Li Song, Dazi Li, Xiao Wang, Xin Xu
Summary: Studying the representational capacity of neural networks to learn nonlinear rewards is necessary in a complex and nonlinear environment. This paper proposes a novel ME-DIRL with AdaBoost algorithm (AME-DIRL) to address the challenges of learning nonlinear rewards, including limited and imbalanced expert demonstration data, complex calculations, and overfitting. The AME-DIRL utilizes AdaBoost algorithm to combine multiple ME-DIRL processes and overcome data set imbalance. Additionally, a truncated gradient (TG) method is used to reduce model complexity, and a correction factor is added to prevent overfitting. Numerical results demonstrate that the proposed AME-DIRL achieves higher accuracy in learning rewards compared to classical inverse reinforcement learning (IRL) algorithms.
INFORMATION SCIENCES
(2022)
Article
Physics, Multidisciplinary
Sergio Luiz E. F. da Silva, R. Silva, Gustavo Z. dos Santos Lima, Joao M. de Araujo, Gilberto Corso
Summary: In this work, a robust methodology is proposed to mitigate the negative effects of outliers on generating reliable physical models. The inverse problems theory is formulated in the context of Kaniadakis statistical mechanics, and an objective function associated with the kappa-Gaussian distribution is derived using the probabilistic maximum-likelihood method. The robustness properties of the proposed method are analyzed using the influence function, and the role of the entropic index (kappa) in inferring physical parameters from noisy data is discussed. The results show an optimum kappa-value at the limit kappa -> 2/3, which leads to the best results.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Multidisciplinary Sciences
Andrew D. King, Cristiano Nisoli, Edward D. Dahl, Gabriel Poulin-Lamarre, Alejandro Lopez-Bezanilla
Summary: Artificial spin ices are frustrated spin systems that can be engineered to allow the design and characterization of exotic emergent phenomena. In this study, a realization of spin ice in a lattice of superconducting qubits was reported, showing control over a fragile degeneracy point and the demonstration of Gauss's law for emergent effective monopoles in two dimensions. This qubit control paves the way for potential future study of topologically protected artificial quantum spin liquids.
Article
Mathematics, Interdisciplinary Applications
Yan Jiang, Wuyue Yang, Yi Zhu, Liu Hong
Summary: Entropy has been widely applied in various disciplines since its discovery, and this paper proposes a new method for solving inverse XDE problems using the entropy balance equation, which shows excellent accuracy, robustness, and reliability when compared to the classical method SINDy.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Multidisciplinary Sciences
Shintaro Murakami, Okuto Ikeda, Yusuke Hirukawa, Toshiharu Saiki
Summary: By applying a coupled oscillator solver to Ising spin problems on a square lattice, the problems are converted to a classical coupled oscillator model, enabling visualization of oscillator clusters through amplitude maps of lower-frequency eigenmodes. Frustration tends to localize at the boundary between unfrustrated clusters due to the symmetric and asymmetric nature of the eigenmodes. Frustration can be reduced by simply flipping the sign of oscillators' amplitudes around which frustrated couplings are highly localized, achieving solutions with 96% accuracy for problems with N = 20 to 50 by examining the lowest N/2 candidate eigenmodes.
Article
Physics, Multidisciplinary
Mingxi Yue, Zi Cai
Summary: Studies of systems far from equilibrium are exploring new phases of matter. This study examines a driven-dissipative frustrated spin system, proposing an out-of-equilibrium nonmagnetic phase where spins do not order but adhere to the ice rule in space and establish longrange crystalline order in time. Experimental realizations of the model are discussed.
PHYSICAL REVIEW LETTERS
(2023)