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AIP Conference Proceedings 2023年第1期2719卷

作者： Nurfitriani Maulida Suaib Nur’eni Nur’eni Iman Setiawan Jamidun Jamidun Statistics Studies Program Tadulako University Palu Indonesia Geophysical Engineering Studies Program Tadulako University Palu Indonesia

This research analyzes how to interpolate the beneficial content of laterite nickel mining in production at PT. Raihan Catur Putra. The data used in the research are 51 coordinates of the mining business license of PT. Raihan Catur Putra, Morowali regency in 2018. To answer this question, the first thing that needs to be done is to determine the threshold value. Second, coded data based on threshold values. Third, calculate the experimental semivariogram values. After that, calculate the theoretical semivariogram values and then choose the best model of the theoretical semivariogram based on the smallest MSE value. The last step, interpolation the content of laterite nickel based on the best model and plot of the predicted area. The result showed the best model is spherical with an MSE value of 0.5055551. One of the profitable laterite nickel mines in production at PT. Raihan Catur Putra is at 2.962945; 122.1932 with an opportunity value of 0.99. In the interpolation plot, the favorable area has an orange degradation whose distribution conditions are almost comprehensive.

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Special issue on genome wide association study

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Quantitative Biology 2021年第2期9卷 105-106页

作者： Lin Hou Qiongshi Lu Can Yang Hongyu Zhao Center for Statistical Science Department of Industrial EngineeringMOE Key Laboratory of BioinformaticsSchool of Life SciencesTsinghua UniversityBeijing 100084China Department of Biostatistics and Medical Informatics Department of StatisticsCenter for Demography of Health and AgingUniversity of Wisconsin-MadisonWl 53726USA Department of Mathematics the Hong Kong University of Science and TechnologyHong KongChina Department of Biostatistics Yale School of Public HealthNew HavenCT 06510USA Department of Genetics Yale UniversityNew HavenCT 06510USA Program of Computational Biology and Bioinformatics Yale UniversityNew HavenCT 06510USA

Since the first success of genome wide association study(GWAS)was reported in 2005 by Hoh and colleagues on the identification of a major gene for age related macular degeneration,many thousands of published studies have reported reproducible association signals between hundreds of thousands of genetic variants and thousands of traits and diseases in the past 16 *** is a growing number of biobanks with up to one million participants developed across the world to facilitate genetic studies of complex traits through ***,many consortium projects have been initiated to collect diverse types of data that have proved very valuable for integrated analysis of GWAS *** rich data present both great opportunities and challenges to scientists on data management,computation,analysis,integration,and *** special issue of Quantitative Biology collects nine papers that cover major progresses,challenges,and future directions for GWAS analysis.

关键词： hundreds GWAS initiated

Bioinformatics strategies for identifying regions of epigenetic deregulation associated with aberrant transcript splicing and RNA-editing 6

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Bioinformatics strategies for identifying regions of epigene...

6th International Conference on Bioinformatics Models, Methods and Algorithms, BIOINFORMATICS 2015

作者： Champion, Mia D. Hlady, Ryan A. Yan, Huihuang Evans, Jared Nie, Jeff Lee, Jeong-Heon Bogenberger, James Nandakumar, Kannabiran Davila, Jaime Moore, Raymond Nair, Asha O'Brien, Daniel Zhu, Yuan-Xiao Kortum, K. Martin Ordog, Tamas Zhang, Zhiguo Joseph, Richard W. Stewart, A. Keith Kocher, Jean-Pierre Jonasch, Eric Robertson, Keith D. Tibes, Raoul Ho, Thai H. Division of Biomedical Statistics and Informatics Mayo Clinic ScottsdaleAZ United States Department of Molecular Pharmacology and Experimental Therapeutics Mayo Clinic RochesterMN United States Division of Biomedical Statistics and Informatics Mayo Clinic RochesterMN United States Translational Program Center for Individualized Medicine Mayo Clinic RochesterMN United States Division of Hematology and Oncology Mayo Clinic ScottsdaleAZ United States Department of Physiology and Biomedical Engineering Mayo Clinic RochesterMN United States Department of Biochemistry and Molecular Biology Mayo Clinic RochesterMN United States Division of Hematology and Oncology Mayo Clinic JacksonvilleFL United States Department of Genitourinary Medical Oncology University of Texas MD Anderson Cancer Center HoustonTX United States

ISBN: (纸本)9789897580703

Epigenetic modifications are associated with the regulation of co/post-transcriptional processing and differential transcript isoforms are known to be important during cancer progression. It remains unclear how disruptions of chromatin-based modifications contribute to tumorigenesis and how this knowledge can be leveraged to develop more potent treatment strategies that target specific isoforms or other products of the co/post-transcriptional regulation pathway. Rapid developments in all areas of next-generation sequencing (DNA, RNA-seq, ChIP-seq, Methyl-CpG, etc.) have provided new opportunities to develop novel integration and data-mining approaches, and also allows for exciting hypothesis driven bioinformatics and computational studies. Here, we present a program that we developed and summarize the results of applying our methods to analyze datasets from patient matched tumor or normal (T/N) paired samples, as well as cell lines that were either sensitive or resistant (S/R) to treatment with an anti-cancer drug, 5-Azacytidine (http://***/projects/chiprnaseqpro/). We discuss additional options for user-defined approaches and general guidelines for simultaneously analyzing and annotating epigenetic and RNA-seq datasets in order to identify and rank significant regions of epigenetic deregulation associated with aberrant splicing and RNA-editing.

关键词： RNA

Visualization of Epilepsy Patient’s Brain Condition based on Spectral Analysis of EEG Signals using Topographic Mapping

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Visualization of Epilepsy Patient’s Brain Condition based o...

International Conference on Computer engineering, Network and Intelligent Multimedia (CENIM)

作者： Diah P. Wulandari Yoyon K. Suprapto Anda I. Juniani Thalia F. Elyantono Santi W. Purnami Wardah R. Islamiyah Dept. of Computer Engineering Institut Teknologi Sepuluh Nopember Surabaya Indonesia Design and Manufacture Study Program Politeknik Perkapalan Negeri Surabaya Indonesia Dept. of Statistics Institut Teknologi Sepuluh Nopember Surabaya Indonesia Dept. of Neurology Univesitas Airlangga Surabaya Indonesia

ISBN: (纸本)9781538675106;9781538675090

In analyzing the epilepsy patient data it is necessary for a doctor to know where the epileptic focus are located. This information is related to the determination of the type of drug delivery and the therapeutic measures that will be performed for the epilepsy patient. In this research, a system that can visualize the state of the brains of epilepsy patients by performing an analysis of brain wave signals or electroencephalography (EEG) is built. Visualization is performed using topographic mapping techniques on each EEG signal sub-band, namely delta, theta, alpha, beta and gamma sub-bands. The feature extraction process is conducted using Fast Fourier Transform (FFT) to transform signals from time domain into frequency domain. The absolute power and relative power data of EEG signals are used as input values in the visualization process. The results are compared to neurologist analysis and they indicate that this system can visualize the brain condition of epileptic patients to find out where the epileptogenic zone is located by adjusting data cutting process to the duration of the seizure wave that occurs.

关键词： Electroencephalography Epilepsy Electrodes Data visualization Feature extraction Tumors Brain mapping

Reactive particle-tracking solutions to a benchmark problem on heavy metal cycling in lake sediments

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arXiv 2019年

作者： Schmidt, Michael J. Pankavich, Stephen D. Navarre-Sitchler, Alexis Engdah, Nicholas B. Bolster, Diogo Benson, David A. Department of Civil and Environmental Engineering and Earth Sciences University of Notre Dame Notre DameIN46556 United States Department of Applied Mathematics and Statistics Colorado School of Mines GoldenCO80401 United States Hydrologic Science and Engineering Program Department of Geology and Geological Engineering Colorado School of Mines GoldenCO80401 United States Department of Civil and Environmental Engineering Washington State University PullmanWA99164 United States

Geochemical systems are known to exhibit highly variable spatiotemporal behavior. This may be observed both in non-smooth concentration curves in space for a single sampling time and also in variability between samples taken from the same location at different times. However, most models that are designed to simulate these systems provide only single-solution smooth curves and fail to capture the noise and variability seen in the data. We apply a recently developed reactive particle-tracking method to a system that displays highly-complex geochemical behavior. When the method is made to most closely resemble a corresponding Eulerian method, in its unperturbed form, we see near-exact match between solutions of the two models. More importantly, we consider two approaches for perturbing the model and find that the spatially-perturbed condition is able to capture a greater degree of the variability present in the data. This method of perturbation is a task to which particle methods are uniquely suited and Eulerian models are not well-suited. Additionally, because of the nature of the algorithm, noisy spatial gradients can be highly resolved by a large number of mobile particles, and this incurs negligible computational cost, as compared to expensive chemistry calculations. Copyright © 2019, The Authors. All rights reserved.

关键词： Heavy metals

Identifying Equivalent Training Dynamics

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arXiv 2023年

作者： Redman, William T. Bello-Rivas, Juan Fonoberova, Maria Mohr, Ryan Kevrekidis, Yannis Mezić, Igor AIMdyn Inc. United States Interdepartmental Program in Dynamical Neuroscience UC Santa Barbara United States Department of Chemical and Biomolecular Engineering Whiting School of Engineering Johns Hopkins University United States Departments of Applied Mathematics and Statistics Johns Hopkins University United States Department of Mechanical Engineering UC Santa Barbara United States Department of Mathematics UC Santa Barbara United States

Study of the nonlinear evolution deep neural network (DNN) parameters undergo during training has uncovered regimes of distinct dynamical behavior. While a detailed understanding of these phenomena has the potential to advance improvements in training efficiency and robustness, the lack of methods for identifying when DNN models have equivalent dynamics limits the insight that can be gained from prior work. Topological conjugacy, a notion from dynamical systems theory, provides a precise definition of dynamical equivalence, offering a possible route to address this need. However, topological conjugacies have historically been challenging to compute. By leveraging advances in Koopman operator theory, we develop a framework for identifying conjugate and non-conjugate training dynamics. To validate our approach, we demonstrate that comparing Koopman eigenvalues can correctly identify a known equivalence between online mirror descent and online gradient descent. We then utilize our approach to: (a) identify non-conjugate training dynamics between shallow and wide fully connected neural networks;(b) characterize the early phase of training dynamics in convolutional neural networks;(c) uncover non-conjugate training dynamics in Transformers that do and do not undergo grokking. Our results, across a range of DNN architectures, illustrate the flexibility of our framework and highlight its potential for shedding new light on training dynamics. © 2023, CC BY.

关键词： Topology

Simulating local fields in carbon nanotube reinforced composites for infinite strip with voids

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arXiv 2021年

作者： Nasser, Mohamed M.S. Kalmoun, El Mostafa Mityushev, Vladimir Rylko, Natalia Mathematics Program Department of Mathematics Statistics and Physics College of Arts and Sciences Qatar University Doha Qatar School of Science and Engineering Al Akhawayn University in Ifrane PO Box 104 Ifrane53000 Morocco Faculty of Computer Science and Telecommunications Cracow University of Technology Kraków Poland

We consider the steady heat conduction problem within a thermal isotropic and homogeneous infinite strip composite reinforced by uniformly and randomly distributed non-overlapping carbon nanotubes (CNTs) and containing voids. We treat the CNTs as thin perfectly conducting elliptic inclusions and assume the voids to be of circular shape and act as barriers to heat flow. We also impose isothermal conditions on the external boundaries by assuming the lower infinite wall to be a heater under a given temperature, and the upper wall to be a cooler that can be held at a lower fixed temperature. The equations for the temperature distribution are governed by the two-dimensional Laplace equation with mixed Dirichlet-Neumann boundary conditions. The resulting boundary value problem is solved using the boundary integral equation with the generalized Neumann kernel. We illustrate the performance of the proposed method through several numerical examples including the case of the presence a large number of CNTs and voids. © 2021, CC BY-NC-ND.

关键词： Carbon nanotubes

Modeling of Measurement Error in Financial Returns Data

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arXiv 2024年

作者： Jasra, Ajay Maama, Mohamed Mijatović, Aleksandar School of Data Science The Chinese University of Hong Kong Shenzhen China Applied Mathematics and Computational Science Program Computer Electrical and Mathematical Sciences and Engineering Division King Abdullah University of Science and Technology Thuwal23955-6900 Saudi Arabia Department of Statistics University of Warwick United Kingdom

In this paper we consider the modeling of measurement error for fund returns data. In particular, given access to a time-series of discretely observed log-returns and the associated maximum over the observation period, we develop a stochastic model which models the true log-returns and maximum via a Lévy process and the data as a measurement error there-of. The main technical difficulty of trying to infer this model, for instance Bayesian parameter estimation, is that the joint transition density of the return and maximum is seldom known, nor can it be simulated exactly. Based upon the novel stick breaking representation of [12] we provide an approximation of the model. We develop a Markov chain Monte Carlo (MCMC) algorithm to sample from the Bayesian posterior of the approximated posterior and then extend this to a multilevel MCMC method which can reduce the computational cost to approximate posterior expectations, relative to ordinary MCMC. We implement our methodology on several applications including for real data. Copyright © 2024, The Authors. All rights reserved.

关键词： Markov chains

Electric Vehicle Charging Diversity Factors

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Electric Vehicle Charging Diversity Factors

Compatibility in Power Electronics (CPE)

作者： Luiz Artur Pecorelli Peres José Francisco Moreira Pessanha Antonio Guilherme Garcia Lima Windson Braga Pereira Electrical Engineering Department UERJ - State University of Rio de Janeiro (Professor) Rio de Janeiro Brazil UERJ - State University of Rio de Janeiro (Professor) IME - Institute of Mathematics and Statistics Rio de Janeiro Brazil UERJ - State University of Rio de Janeiro (Student) Mechanical Engineering Postgraduate Program Rio de Janeiro Brazil

ISBN: (数字)9781728142180

ISBN: (纸本)9781728142197

This paper presents the determination of diversity factors related to the increased demand when charging EVs, electric vehicles, and focuses on the adequacy of distribution network capacity. The work aimed to meet the R&D project "Smart City Búzios" proposed by ENEL Distribuição Rio within the scope of the National Electric Energy Agency - ANEEL. The treated results of several measurements of EV charging characteristics provided the basis to estimate the increase in electricity demand. Deterministic and stochastic analyzes considering the influence of the distance previously traveled by the vehicle and the moment of its connection to the network were compared, allowed to obtain the diversity factor. This study shows the influence of the connection moment to recharge EVs in predicting the capacity of transformers as well as the need for their stochastic treatment. Therefore, the results recommended implementing communication systems to offer attractive tariffs aiming at shifting the recharging of EVs to daily times of lower demand.

关键词： Batteries Load modeling Electric vehicle charging Standards Reactive power Charge measurement

Sixth-order Compact Extended Trapezoidal Rules for 2D Schr(o)dinger Equation

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数学研究 2015年第1期48卷 30-52页

作者： Xiao-Hui Liu Yu-Jiang Wu Jin-Yun Yuan Raimundo J.B.de Sampaio Yan-Tao Wang School of Mathematics and Statistics Lanzhou University Lanzhou 730000 GansuP.R.China School of Mathematics and Statistics Lanzhou University Lanzhou 730000 GansuP.R.China Key Laboratory of Applied Mathematics and Complex Systems Lanzhou 730000Gansu P.R.China Department of Mathematics Federal University of Paraná Centro Politecnico CP:19.081 81531-980 Curitiba PR Brazil Graduate Program in Production and Systems Engineering Pontifical Catholic University of Paraná CEP: 81611-970 Curitiba PR Brazil

Based on high-order linear multistep methods (LMMs), we use the class of extended trapezoidal rules (ETRs) to solve boundary value problems of ordinary differential equations (ODEs), whose numerical solutions can be approximated by boundary value methods (BVMs). Then we combine this technique with fourth-order Padé compact approximation to discrete 2D Schrödinger equation. We propose a scheme with sixth-order accuracy in time and fourth-order accuracy in space. It is unconditionally stable due to the favourable property of BVMs and ETRs. Furthermore, with Richardson extrapolation, we can increase the scheme to order 6 accuracy both in time and space. Numerical results are presented to illustrate the accuracy of our scheme.

关键词： Schr(o)dinger equation BVMs ETRs compact scheme Richardson extrapolation