Phase Diagrams of One-Dimensional Ising and XY Models with Fully Connected Ferromagnetic and Anti-Ferromagnetic Quantum Fluctuations

2019 ◽  
Vol 88 (2) ◽  
pp. 024802 ◽  
Author(s):  
Shuntaro Okada ◽  
Masayuki Ohzeki ◽  
Kazuyuki Tanaka
Keyword(s):  
Phase Diagrams ◽  
Quantum Fluctuations ◽  
One Dimensional ◽  
Fully Connected

scholarly journals One-Dimensional Convolutional Neural Networks with Feature Selection for Highly Concise Rule Extraction from Credit Scoring Datasets with Heterogeneous Attributes

Electronics ◽  
2020 ◽  
Vol 9 (8) ◽  
pp. 1318
Author(s):  
Yoichi Hayashi ◽  
Naoki Takano
Keyword(s):  
Neural Networks ◽  
Credit Scoring ◽  
Extraction Methods ◽  
Rule Extraction ◽  
Financial Industry ◽  
New Approach ◽  
New Era ◽  
One Dimensional ◽  
Recursive Rule ◽  
Fully Connected

Convolution neural networks (CNNs) have proven effectiveness, but they are not applicable to all datasets, such as those with heterogeneous attributes, which are often used in the finance and banking industries. Such datasets are difficult to classify, and to date, existing high-accuracy classifiers and rule-extraction methods have not been able to achieve sufficiently high classification accuracies or concise classification rules. This study aims to provide a new approach for achieving transparency and conciseness in credit scoring datasets with heterogeneous attributes by using a one-dimensional (1D) fully-connected layer first CNN combined with the Recursive-Rule Extraction (Re-RX) algorithm with a J48graft decision tree (hereafter 1D FCLF-CNN). Based on a comparison between the proposed 1D FCLF-CNN and existing rule extraction methods, our architecture enabled the extraction of the most concise rules (6.2) and achieved the best accuracy (73.10%), i.e., the highest interpretability–priority rule extraction. These results suggest that the 1D FCLF-CNN with Re-RX with J48graft is very effective for extracting highly concise rules for heterogeneous credit scoring datasets. Although it does not completely overcome the accuracy–interpretability dilemma for deep learning, it does appear to resolve this issue for credit scoring datasets with heterogeneous attributes, and thus, could lead to a new era in the financial industry.

scholarly journals Quantum Fluctuations in Quasi-One-Dimensional Dipolar Bose-Einstein Condensates

2017 ◽  
Vol 119 (5) ◽  
Author(s):  
D. Edler ◽  
C. Mishra ◽  
F. Wächtler ◽  
R. Nath ◽  
S. Sinha ◽  
...  
Keyword(s):  
Quantum Fluctuations ◽  
One Dimensional ◽  
Bose Einstein

Phase Diagrams of One-Dimensional Commensurate-Incommensurate Transition Model with Triple-Well Interactions

2000 ◽  
Vol 17 (4) ◽  
pp. 255-257 ◽  
Author(s):  
Xu Hai-Bo ◽  
Xu Ai-Guo ◽  
Wang Guang-Rui ◽  
Chen Shi-Gang
Keyword(s):  
Phase Diagrams ◽  
Transition Model ◽  
One Dimensional

Influence of quantum fluctuations on the ground state of quasi-one-dimensional triangular antiferromagnet

2000 ◽  
Vol 284-288 ◽  
pp. 1623-1624
Author(s):  
B.S. Dumesh ◽  
V.A. Panfilov ◽  
A.M. Tikhonov ◽  
D.N. Fourzikov
Keyword(s):  
Ground State ◽  
Quantum Fluctuations ◽  
One Dimensional

On the dynamics of the Tent function - Phase diagrams

2016 ◽  
Vol 7 (4) ◽  
pp. 261
Author(s):  
Prince Amponsah Kwabi ◽  
William Obeng Denteh ◽  
Richard Kena Boadi
Keyword(s):  
Dynamical Systems ◽  
Phase Diagrams ◽  
Initial Conditions ◽  
Asymptotic Properties ◽  
Topological Dynamical System ◽  
Topological Transitivity ◽  
Tent Map ◽  
One Dimensional ◽  
Definition Of ◽  
Topological Dynamical Systems

This paper focuses on the study of a one-dimensional topological dynamical system, the tent function. We give a good background to the theory of dynamical systems while establishing the important asymptotic properties of topological dynamical systems that distinguishes it from other fields by way of an example - the tent function. A precise definition of the tent function is given and iterates are clearly shown using the phase diagrams. By this same method, chaos in the tent map is shown as iterates become higher. We also show that the tent map has infinitely many chaotic orbits and also express some important features of chaos such as topological transitivity, boundedness and sensitivity to change in initial conditions from a topological viewpoint.

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