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Efficient Variants of Wasserstein Distance in Hyperbolic Space via Space-Filling Curve Projection

IEEE Transactions on Neural Networks and Learning Systems 2025年 PP卷 PP页

作者： Li, Tao Meng, Cheng Xu, Hongteng Zhu, Jun Renmin University of China Institute of Statistics and Big Data Beijing100872 China Renmin University of China Center for Applied Statistics Institute of Statistics and Big Data Beijing100872 China Renmin University of China Gaoling School of Artificial Intelligence Beijing100872 China Beijing Key Laboratory of Big Data Management and Analysis Beijing100872 China

Hyperbolic spaces have been considered pervasively for embedding hierarchically structured data in the recent decade. However, there is a lack of studies focusing on efficient distance metrics for comparing probability distributions in hyperbolic spaces. To bridge the gap, we propose a novel metric called the hyperbolic space-filling curve projection Wasserstein (SFW) distance. The idea is to first project two probability distributions onto a space-filling curve to obtain a closed-form coupling between them and then calculate the transport distance between these two distributions in the hyperbolic space accordingly. Theoretically, we show the SFW distance is a proper metric and is well-defined for probability measures with bounded supports. Statistical convergence rates for the proposed estimator are provided as well. Moreover, we propose two variants of the SFW distance based on geodesic and horospherical projections, respectively, to combat the curse-of-dimensionality. Empirical results on synthetic and real-world data indicate that the SFW distance can effectively serve as a surrogate of the popular Wasserstein distance with low complexity. © 2012 IEEE.

关键词： Hilbert spaces

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Cost Effective and Sensitive Electrochemical Detection of Dopamine on Laser Driven Sensor

Cost Effective and Sensitive Electrochemical Detection of Do...

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International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE)

作者： Mrinal Vashisth Amrit L. Hui Department of Psychology National Research Tomsk State University Tomsk Russian Federation Research Laboratory of Applied Big Data Analysis National Research Tomsk State University Tomsk Russian

ISBN: (数字)9798331531836

ISBN: (纸本)9798331531843

In this research, a cost-effective sensor was developed for the electrochemical detection for dopamine in the biological samples. The optimal laser parameters were used to fabricate graphene oxide (GO) material to obtain the highly stable laser induced graphene oxide (LIGO) sensor. The surface behavior of the sensor was studied by scanning electron microscope (SEM), Raman spectroscopy (RS) and electrochemical characterization were carried out vis cyclic voltammetry. The electroactive surface area of sensor was studied which shows the remarkable electron transfer mobility. The sensor shows promising linear concentration range (1–100 μM) and lower limit of detection (0.1μM). The LIGO sensor also demonstrates good reproducibility and stability. Moreover, the LIGO sensor showed the sensitive detection for dopamine concentration in serum and urine with good regain. However, low cost and highly efficient LIGO sensor shows tremendous application on real detection of dopamine.

关键词： Scanning electron microscopy Costs Graphene Power lasers Surface morphology Surface emitting lasers Laser stability Reproducibility of results Surface treatment Substrates

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Laser Driven Flexible Ultra-Robust Sensor for Bioelectronic Applications

Laser Driven Flexible Ultra-Robust Sensor for Bioelectronic ...

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International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE)

ISBN: (数字)9798331531836

ISBN: (纸本)9798331531843

Nowadays there is an importance of flexible carbon-based sensors for sensitive detection of human skin interference signal to develop biomedical applications. In this research, the cost effective, flexible sensor has been fabricated based on laser induced graphene oxide (LIG) on green substrate for the acquisition of biomedical signal. The ecofriendly laser reduction process was used to develop highly stable sensor, which enhanced the biomedical signal. The newly fabricated flexible dry sensor is studied to overcome the limitation of currently available sensor. The sensor surface morphology was characterized by Scanning Electron Microscopy (SEM), and Fourier Transform Infrared Spectroscopy (FTIR) was performed to analyze the absorption processes bands of Graphene oxide (GO). These sensors are flexible and adhere more compatibly to human skin. In terms of performance, the fabricated LIG sensor show low impedance as compared to commercial sensor for bio-signal detection. The fabricated sensor has recorded low signal to noise ratio (SNR) as compared to commercial sensor. Furthermore, the developed sensor was tested for temperature, strain, and breathing sensing. The results indicate that the developed sensor is reusable without gel. Finally, the developed dry sensor provides good biocompatibility, excellent skin and sensor contact and no significant irritation on skin.

关键词： Temperature sensors Surface impedance Scanning electron microscopy Graphene Surface morphology Sensor phenomena and characterization Skin Biosensors Surface treatment Signal to noise ratio

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Sensitive EEG Brain Signal Detection for RGB Color Using Laser Integrated Electrode

Sensitive EEG Brain Signal Detection for RGB Color Using Las...

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International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE)

作者： Amrit L. Hui Mrinal Vashisth Research Laboratory of Applied Big Data Analysis National Research Tomsk State University Tomsk Russian Federation Department of Psychology National Research Tomsk State University Tomsk Russian Federation

ISBN: (数字)9798331531836

ISBN: (纸本)9798331531843

The sensor technology has allowed for sensitive detection of Electroencephalography (EEG) signals. In this work, the ecofriendly flexible laser induced graphene oxide (LIG) electrode was fabricated for Red, Green and Blue (RGB) neural signal detection. The flexible recycle substrate was used for the fabrication of the electrodes. The laser engraving process was performed on the graphene oxide electrodes which enhanced the surface area of electrode. The laser optimization was done to obtain suitable conductive electrode. The electrode surface morphology was studied by impedance method and scanning electron microscopy (SEM). The integrated circuit was fabricated in order to achieve highly sensitive neural signals for RGB colors. The 18 dry LIG electrode setup was employed to investigate RGB color neural signals in 15 participants. The obtained RGB neural signals are smooth due to good conductivity of dry LIG electrodes as compared to commercial electrodes. The performance of dry LIG electrodes is promising than commercial electrode. The fabrication cost of dry LIG electrode is ten times cheaper than commercially manufactured electrode.

关键词： Electrodes Scanning electron microscopy Surface impedance Image color analysis Graphene Measurement by laser beam Surface morphology Electroencephalography Surface treatment Signal detection

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Quality of life issues in rural settlements:assessment by social media users

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data Science and Management 2024年第4期7卷 283-292页

作者： Evgeniy V.Shchekotin Viacheslav L.Goiko Darya O.Dunaeva Polina A.Basina Julia K.Aleksandrova Department of Philosophy and History Siberian State University of Telecommunications and Information ScienceNovosibirsk630102Russia Laboratory of Applied Big Data Analysis Tomsk State UniversityTomsk634050Russia

Disparity in the quality of life of people living in rural and urban areas is among the major problems,often leading to greater depression among the rural population compared to those in urban areas who have access to a high standard of *** goal of this study was to identify the issues of the quality of life that are fundamental from the point of view of rural settlements and typical for the rural population in various regions of the Russian Federation with diverse geographical,socioeconomic,and demographic *** practical relevance of our study is based on the identification of the scope of typical problems related to the quality of life in rural *** fundamental value of this study is the significance of digital tracks,which can serve as a source of *** data sources included messages and posts discussing various quality of life aspects of the rural population published by *** this study,we used messages and posts with negative implications from communities in rural settlements in ten Russian *** issues include housing infrastructure and utilities,transportation,the environment,telecommunications,banking,healthcare,and education.

关键词： Rural settlements Quality of life Social media Russia Digital footprint

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Preferential attachment network model with aging and initial attractiveness

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Communications in Theoretical Physics 2022年第3期74卷 97-103页

作者： Xiao-Long Peng Complex Systems Research Center Shanxi UniversityTaiyuan 030006ShanxiChina Shanxi Center for Applied Mathematics Shanxi UniversityTaiyuan 030006ShanxiChina Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention Shanxi UniversityTaiyuan 030006ShanxiChina

In this paper,we generalize the growing network model with preferential attachment for new links to simultaneously include aging and initial attractiveness of *** network evolves with the addition of a new node per unit time,and each new node has m new links that with probability Π_(i) are connected to nodes i already present in the *** our model,the preferential attachment probability Π_(i) is proportional not only to k_(i)+A,the sum of the old node i's degree ki and its initial attractiveness A,but also to the aging factor τ_(i)^(−α),whereτi is the age of the old node *** is,Π_(i)∝(k_(i)+A)τ_(i)^(−α).Based on the continuum approximation,we present a mean-field analysis that predicts the degree dynamics of the network *** show that depending on the aging parameter α two different network topologies can *** α<1,the network exhibits scaling behavior with a power-law degree distribution P(k)∝k^(−γ) for large k where the scaling exponent γ increases with the aging parameter α and is linearly correlated with the ratio A/***,the average degree k(ti,t)at time t for any node i that is added into the network at time ti scales as k(t_(i),t)∝t_(i)^(−β) where 1/β is a linear function of A/*** α>1,such scaling behavior disappears and the degree distribution is exponential.

关键词： complex network model aging preferential attachment power-law behavior

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The study of the applicability of machine learning methods based on decision trees for holter monitoring

The study of the applicability of machine learning methods b...

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2019 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2019

作者： Bochkarev, Boris Rakitskiy, Anton Siberian State University of Telecommunications and Information Sciences Department of Applied Mathematics and Cybernetics Novosibirsk Russia Nonlinear Photonics Laboratory Novosibirsk State University Laboratory of Digital Twins and Big Data Analysis Department of Applied Mathematics and Cybernetics Novosibirsk Russia

ISBN: (纸本)9781728144016

In this paper we investigate the possibility of using machine learning methods based on decision trees for the analysis of electrocardiograms. In present work we consider and investigate such methods as gradient boosting, random forest and extra trees because they are most suitable for solving same problems. The obtained results show us the high efficiency of the considered methods and prove the possibility of their use for automatization of the electrocardiograms analysis. © 2019 IEEE.

关键词： Electrocardiography

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Preferential and anti-preferential attachment conditioned by structural proximity in fixed-size networks

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Chaos, Solitons & Fractals 2025年 198卷

作者： Alexander V. Gubanov Sergey A. Engelke Ivan V. Kozitsin Laboratory of Applied Big Data Analysis Tomsk State University Lenina st. 36 Tomsk 634050 Russia Laboratory of Active Systems V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences 65 Profsoyuznaya street Moscow 117997 Russia Department of Higher Mathematics Moscow Institute of Physics and Technology 9 Institutskiy per. Dolgoprudny 141701 Moscow Region Russia

Anti-preferential attachment is a social network formation mechanism where nodes with a lower degree have more chances of acquiring new connections. Recent findings indicate interesting conditions under which anti-preferential attachment appears: it has been documented that pairs of online users with one or more friends in common are more likely to become friends if they have low degrees. Among pairs of users without common peers, there is a positive correlation between their degrees and the probability that they will eventually become friends. We aim to address this empirical observation by investigating how the common friends factor may affect social network dynamics. We present two agent-based network evolution models, in which preferential and anti-preferential attachment regimes are present, with a balancing parameter trading off between these two competing mechanisms. In the first model, at each iteration, one of the two mechanisms is selected at random. Then the chosen mechanism determines a pair of nodes for connection. The second model works similarly, but in this case, preferential attachment links only pairs with no common friends, while anti-preferential attachment connects pairs with one or more shared friends. Both models remove a randomly selected edge at the end of each turn to maintain the number of edges in the network constant. We study these two models using analytical derivations, numerical computations, and agent-based simulations to determine how the inclusion of the factor of common friends in attachment-based network dynamics affects the properties of simulated networks. Our results indicate that both models exhibit considerable differences moderated by the balancing parameter. When this parameter is set to a small value, the second model leads to substantially less clustered, less degree-heterogeneous, but more connected networks. Furthermore, the effects of varying the balancing parameter on network clustering and average path length are o

关键词： Tweets

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Coevolution of Opinions and Ties in a Social Network: A Differential Equations Approach 5

Coevolution of Opinions and Ties in a Social Network: A Diff...

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5th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency, SUMMA 2023

作者： Gubanov, Alexander V. Goiko, Vyacheslav Saifullin, Eduard Kozitsin, Ivan V. Moscow Institute of Physics and Technology Department of Mathematical Modelling of Compex Systems and Optimization Dolgoprudny Russia Tomsk State University Laboratory of Applied Big Data Analysis Tomsk Russia Institute of Control Sciences of RAS Laboratory of Active Systems Moscow Russia

In this paper we propose an original model, describing a coevolution of ties and opinions in large-scale social networks. The model is a system of determined differential equations for the mean values of some network ... 详细信息

ISBN: (纸本)9798350309126

关键词： Differential equations

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On hom-yetter-drinfeld category 1

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International Conference on Stochastic Processes and Algebraic Structures, SPAS 2017

作者： Ma, Tianshui Silvestrov, Sergei Zheng, Huihui Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control Henan Normal University Xinxiang453007 China Division of Applied Mathematics School of Education Culture and Communication Mälardalen University Box 883 Västerås72123 Sweden

ISBN: (数字)9783030418502

ISBN: (纸本)9783030418496

Let (H, β) be a Hom-Hopf algebra. Recently we introduced the Hom-Yetter-Drinfeld category HHYD via Radford biproduct Hom-Hopf algebra, and proved that HHYD is a braided tensor category. Let (H, β, R (or~σ)) be a quasitriangular (or cobraided) Hom-Hopf algebra. In this paper, we prove that the category HM (or HM) of left (H, β)-Hom-modules comodules) is a braided tensor subcategory of HHYD. As a generalization of Radford biproduct Hom-Hopf algebra, we derive necessary and sufficient conditions for R-smash product Hom-algebra (Formula Presented) and T-smash coproduct Hom-coalgebra (Formula Presented) to be a Hom-Hopf algebra. At last, two nontrivial examples are given. © Springer Nature Switzerland AG 2020.

关键词： Tensors

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