Article
Physics, Mathematical
Yifan Jia, Michael M. Wolf
Summary: The circuit complexity of the vast majority of quantum states and unitaries is exponential in the number of qubits. Similarly, their minimum description length is also exponentially large, making it difficult to find examples of exponential complexity. In this study, we present examples of constant description length but exponential circuit complexity. We provide infinite families of such examples, where each element requires an exponential number of two-qubit gates to be generated exactly from a product, and the same is true for the approximate generation of the majority of elements in the family. These results are based on sets with large transcendence degree and discussed in the context of tensor networks, diagonal unitaries, and maximally coherent states.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Mingyue Yu, Minghe Fang, Xiangdong Ge, Baodong Qiao
Summary: This paper proposes a feature selection method for judging mixed faults in intershaft bearings. The method decomposes the homogeneous information of the casing and separates and blends signals based on intrinsic time scale decomposition. Fault identification is made by selecting proper rotation components and signal reconstruction is based on the autocorrelation function. Fault features and types are extracted from the reconstructed signal. The study shows that the Complexity parameter can be used as an evaluation index for selecting sensitive fault components and correctly judging mixed fault types in intershaft bearings.
Article
Astronomy & Astrophysics
Kyle Finner, Bomee Lee, Ranga-Ram Chary, M. James Jee, Christopher Hirata, Giuseppe Congedo, Peter Taylor, Kim Hyeonghan
Summary: In this study, a near-IR weak-lensing analysis of CANDELS HST/WFC3-IR F160W observations was conducted, with updated astrometry of the mosaics achieving absolute alignment with a high degree of accuracy. Systematic effects in weak-lensing measurements were investigated, highlighting undersampling as a major contributing factor. PSF modeling for weak lensing using principal component analysis was performed, resulting in corrections that are sufficient for future NIRWL searches in the CANDELS fields.
ASTROPHYSICAL JOURNAL
(2023)
Article
Automation & Control Systems
Mingyue Yu, Minghe Fang
Summary: This paper proposes a method for accurately identifying multiple faults of rolling bearings based on the Hjorth Complexity parameter and Intrinsic Time Decomposition algorithm. By adaptively determining the decomposition layers and using the Complexity parameter as the index of characteristic parameters, the method can effectively extract fault characteristics and determine the fault type.
Article
Mathematics, Applied
Cesar Manchein, Bianca Fusinato, Hugne S. Chagas, Holokx A. Albuquerque
Summary: Single-walled carbon nanotubes (SWCNTs) exhibit large nonlinear deformations without permanent damage and have important implications in science and technology. This study investigates the nonlinear dynamics of a curved SWCNT oscillator model when two control parameters are varied simultaneously. The study identifies the existence of a quint points lattice merged in a domain of periodic dynamics, the coexistence of different stable states for the same parameter combinations and different initial conditions, and the existence of infinite self-organized generic stable periodic structures (SPSs) merged into chaotic dynamics domains. The findings highlight the complexity of the dynamics in damped-driven curved SWCNTs and its potential impact on theoretical and experimental applications.
Article
Computer Science, Artificial Intelligence
Jean Christoph Jung, Carsten Lutz, Hadrien Pulcini, Frank Wolter
Summary: This paper investigates the existence of a logical formula for separating positive and negative examples in the presence of an ontology. The study focuses on different logic languages and separation methods, and compares their separating power and computational complexity.
ARTIFICIAL INTELLIGENCE
(2022)
Article
Computer Science, Artificial Intelligence
Anibal Pedraza, Oscar Deniz, Gloria Bueno
Summary: The phenomenon of Adversarial Examples, where deep neural networks can be fooled by imperceptible perturbations, exists in the real world without maliciously selected noise. Through comparisons using distance and image quality metrics, it was shown that natural adversarial examples have a greater distance from the originals compared to artificially generated ones.
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
(2022)
Article
Physics, Fluids & Plasmas
J. Cheraghalizadeh, M. Seifi, Z. Ebadi, H. Mohammadzadeh, M. N. Najafi
Summary: In this study, a two-temperature Ising model was introduced as a prototype of superstatistic critical phenomena. The critical exponents were numerically estimated and an analytic equation for the critical line in the phase diagram was proposed. All points on the critical line were found to belong to the ordinary Ising universality class.
Article
Mathematics, Applied
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen
Summary: In this study, the direct method (Hyers approach) is used to examine the refined stability of additive, quartic, and sextic functional equations in modular spaces with and without the increment 2-condition. The direct approach is also employed to discuss Ulam stability in 2-Banach spaces. Ultimately, appropriate counter-examples are utilized to demonstrate that stability of the above equations does not hold in a particular scenario.
Article
Astronomy & Astrophysics
Kevin J. Shuman, Neil J. Cornish
Summary: A network of space-based gravitational wave detectors can greatly improve source localization and parameter estimation, especially for massive black hole binaries.
Article
Computer Science, Artificial Intelligence
Jian-Zhong Xiao, Ying Lu, Feng-Qin Zhu
Summary: This paper presents a new definition for fuzzy inner product spaces of the Kramosil-Michalek and George-Veeramani types. In the new setting, a fuzzy inner product space can naturally be a fuzzy normed space, and a classical inner product space can be considered as a special case of fuzzy inner product spaces. Several examples are given to illustrate that the new definition is a nontrivial generalization for classical inner product spaces, with rich contents in fuzziness. By using this definition, some elementary properties are described in terms of families of semi-inner products, and a fuzzy version of the Pythagorean theorem is provided. As applications, a fixed point theorem for nonlinear contractions is established, and the existence of a solution for a global optimization problem is obtained.
Article
Mathematics, Applied
Vinesh Vijayan, Biplab Ganguli
Summary: Complexity frontier focuses on the study of collective phenomena arising from complex interactions of a large number of parts, including the formation of spatio-temporal patterns and chimera states. These phenomena shed light on a wide range of collective behaviors and help us better understand complex emergent behaviors.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Mathematics, Applied
Seher Kaya, Rafael Lopez
Summary: This paper provides a geometric description of surfaces in the Lorentz-Minkowski space with zero mean curvature, which are foliated by circles contained in parallel planes. Unlike the Euclidean case, this family of surfaces exhibits new and rich features due to the variety of types of circles.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Physics, Applied
T. M. Hutchinson, S. J. Ali, G. P. Grim, N. B. Meezan, K. R. Lechien
Summary: This passage introduces a more general Bayesian method capable of inferring current despite the presence of shocks, and provides uncertainty estimates and applications of the technique on experimental data.
JOURNAL OF APPLIED PHYSICS
(2023)
Article
Mathematics
Timo Takala
Summary: This paper studies the John-Nirenberg space JN(p) and constructs new JN(p) functions to improve the understanding of this function space. The nontriviality of the vanishing subspace V JN- p is also proven, providing further insight into this space.
MATHEMATISCHE ZEITSCHRIFT
(2022)
Review
Geosciences, Multidisciplinary
Yangwen Pei, Douglas A. Paton, Rob J. Knipe, Kongyou Wu
EARTH-SCIENCE REVIEWS
(2015)
Article
Geosciences, Multidisciplinary
Yangwen Pei, Douglas A. Paton, Kongyou Wu, Liujuan Xie
JOURNAL OF ASIAN EARTH SCIENCES
(2017)
Article
Geosciences, Multidisciplinary
Yangwen Pei, Douglas A. Paton, Rob J. Knipe, Kongyou Wu
MARINE AND PETROLEUM GEOLOGY
(2017)
Article
Geosciences, Multidisciplinary
Liujuan Xie, Yangwen Pei, Anren Li, Kongyou Wu
JOURNAL OF ASIAN EARTH SCIENCES
(2018)
Article
Geology
Ben Feng, Yangwen Pei, Nan Su, Zhengshuo Miao, Yu Qiu, Hua Jiang, Han Liang
Summary: The Sichuan basin has great potential for hydrocarbon exploration due to the abundance of source rocks and good reservoirs. However, the relationship between tectonic evolution and hydrocarbon accumulation model is still unclear. This research aims to understand the characteristics of paleo-highs/lows in the Permian strata and their controlling effects on hydrocarbon migration/accumulation. The results improve the precision of paleo-highs/lows reconstruction and provide useful hints for hydrocarbon exploration in the Sichuan basin.
INTERNATIONAL GEOLOGY REVIEW
(2023)
Article
Geosciences, Multidisciplinary
Yicheng Mou, Han Liang, Nan Su, Wei Guo, Yangwen Pei
Summary: This research investigated the important role of pre-existing faults in controlling resultant fault systems in multiple staged structural superimposition through physical analogue modelling. The results were statistically analyzed and compared with natural examples to understand fault architecture and fluid flow behavior in basins that experienced multiple staged structural superimposition.
JOURNAL OF ASIAN EARTH SCIENCES
(2023)