Article
Mathematics, Applied
Erez Peterfreund, Matan Gavish
Summary: This paper investigates the performance of MDS in high dimensions and measurement noise, introducing MDS+ as an improved variant that offers better embedding quality and calculates the optimal embedding dimension. MDS+ is proven to be the unique, asymptotically optimal shrinkage function compared to traditional MDS.
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
(2021)
Article
Computer Science, Artificial Intelligence
Sheng Feng, Liping Zhao, Haiyan Shi, Mengfei Wang, Shigen Shen, Weixing Wang
Summary: This article proposes a deep learning model for classifying high-dimensional data and aims to achieve optimal evaluation accuracy and robustness using multicriteria decision-making. A novel one-dimensional visual geometry group network (1D_VGGNet) is introduced to overcome the complexity and instability of high-dimensional data. Additionally, a one-dimensional convolutional neural network (1D_CNN) is used to effectively handle one-dimensional multicriteria decision-making.
APPLIED SOFT COMPUTING
(2023)
Article
Chemistry, Physical
Yannic U. Staechelin, Michael Deffner, Sonja Krohn, Christian Castillo Delgadillo, Jan Steffen Niehaus, Holger Lange
Summary: By optical and THz pump-probe spectroscopy, we find that only shell-located electrons in quantum rods contribute to photoconductivity, while core-located carriers form immobile excitons that respond to external electrical fields.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Biochemical Research Methods
Jiankang Wang, Ryuichiro Nakato
Summary: This study reviews the currently available one-dimensional (1D) metrics for analyzing individual Hi-C samples or comparisons between two samples, discussing their validity and suitable analysis scenarios. The authors also propose several new 1D metrics to identify unique features of chromosome structures. They emphasize the reproducibility and robustness of 1D metrics for comparing and visualizing multiple Hi-C samples, as well as their ease of integration with epigenome tracks for detailed chromatin state annotation. The development of the HiC1Dmetrics framework provides a valuable resource for chromosome organization researchers.
BRIEFINGS IN BIOINFORMATICS
(2022)
Article
Engineering, Aerospace
Sangjo Kim, Ju Hyun Im, Gyongwon Ryu
Summary: In this study, a method for correcting a 1D meanline model for axial-flow compressors using measured data was proposed and evaluated on a 6-stage axial-flow compressor. Correction factors were calculated for each measurement point using an artificial neural networks model. A criterion for defining the compressor surge point in the 1D model was also generated. The results confirmed the high prediction accuracy of the corrected 1D performance prediction model obtained through the proposed method.
AEROSPACE SCIENCE AND TECHNOLOGY
(2023)
Article
Chemistry, Multidisciplinary
Sergey Agayan, Shamil Bogoutdinov, Dmitriy Kamaev, Vladimir Kaftan, Maxim Osipov, Victor Tatarinov
Summary: The article discusses the issue of clustering multidimensional data arrays with noise using the DMA clustering method, detailing the theory of logical density calculus and describing the new LDPS algorithm. The main objective of the LDPS algorithm is to identify linear anomalies in multidimensional geo-spatial data arrays associated with tectonic structures in the Earth's crust. The main advantage of the LDPS algorithm compared to others is its focus on linear clusters and its applicability to spatial natural objects and elongated lineament structures.
APPLIED SCIENCES-BASEL
(2021)
Article
Physics, Multidisciplinary
I. Protopopov, R. Samanta, A. D. Mirlin, D. B. Gutman
Summary: A study has been conducted on constructing a multi-mode viscous hydrodynamics model for one-dimensional electrons, revealing the presence of different numbers of hydrodynamic modes at different scales, resulting in anomalous scaling of physical observables and wave propagation phenomena.
PHYSICAL REVIEW LETTERS
(2021)
Article
Mathematics, Applied
Anton A. Kutsenko
Summary: Finite difference operators are commonly used to approximate continuous operators. The analysis of continuous differential operators may vary depending on their dimensions, but finite difference operators generate the same algebra regardless of their dimension.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
(2021)
Article
Energy & Fuels
Ran Li, Binyu Xiong, Shaofeng Zhang, Xinan Zhang, Yifeng Li, Herbert Iu, Tyrone Fernando
Summary: In high-performance and cost-effective battery applications, electrochemical variables are used instead of electrical variables. However, the requirement of electrochemical knowledge poses a challenge for electrical engineers. VRB modeling for power system studies has been explored in recent years.
JOURNAL OF ENERGY STORAGE
(2023)
Article
Mathematics, Applied
Thomas Debarre, Quentin Denoyelle, Michael Unser, Julien Fageot
Summary: This paper studies the one-dimensional regression problem with total-variation regularization and provides a complete description of the solution set. A simple and fast two-step algorithm is proposed to achieve the sparsest solution.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Mathematics
Jiahao Qiu, Jianjie Zhao
Summary: In this paper, it is proved that a minimal system can be decomposed into components under a normal subgroup with finite index, and it is shown that for a residual set in a minimal system with finitely many commuting homeomorphisms, the set of return times to any non-empty open set contains arbitrarily long geometric progressions in multidimension, extending a previous result by Glasscock, Koutsogiannis and Richter.
COMMUNICATIONS IN MATHEMATICS AND STATISTICS
(2021)
Article
Mathematics
Gerasim Vladimirovich Krivovichev
Summary: The paper compares different one-dimensional models of blood flow, taking into account the non-Newtonian property of blood. It analytically solves the simplified nonlinear problem for a semi-infinite vessel with constant properties and compares the solutions for different models. The effects of velocity profile flattening and hematocrit value on deviation from the Newtonian model are investigated.
Article
Chemistry, Physical
Martha Tordis Wachter-Lehn, Karin Fink, Sebastian Hoefener
Summary: This method treats polarization effects in a 1D environment using FDE, enabling efficient computation of charge migration in organic semiconductors. By computing local perturbations and avoiding open-shell calculations, it provides an efficient way to calculate electron loss or attachment effects.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xiaobo Lin
Summary: This paper proposes a method to build a basic geological database using existing mining geology data, and develops an efficient program to obtain geological data from important 2D mine drawings. The obtained data is stored and managed in a MongoDB database for storage, query, analysis, and correction of massive geological objects data in underground coal mines.
Article
Mechanics
K. E. Hoque, M. Ferdows, S. Sawall, E. E. Tzirtzilakis, M. A. Xenos
Summary: Computed tomography coronary angiography image-based noninvasive virtual fractional flow reserve (vFFR) is a key factor in diagnosing coronary plaque, with both 1D and 3D hemodynamic factors being used to determine the severity of coronary main arteries lesions. The study shows that the 1D computational results can be used to predict the severity of atherosclerotic plaque in clinical procedures.