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POSTECH

Jung Jae-Hun Professor

Education

  • 1998.09 ~ 2002.05 BROWN UNIV. (박사-Applied Mathematics)
  • 1997.09 ~ 1998.05 BROWN UNIV. (석사-Applied Mathematics)
  • 1991.03 ~ 1994.02 서울대학교 (석사-천문학)
  • 1987.03 ~ 1991.02 서울대학교 (학사-천문학)

Career

  • 2017.09 ~ 2020.08 아주대학교 인공지능.데이터사이언스학과
  • 2008.08 ~ 2020.08 UNIV. OF BUFFALO, THE STATE UNIV. OF NEW YORK DEPT. OF MATHEMATICS
  • 2005.08 ~ 2008.08 UNIV. OF MASSACHUSETTS, DARTMOUTH DEPT. OF MATHEMATICS
  • 2002.09 ~ 2005.08 THE UNIV. OF BRITISH COLUMBIA DEPT. OF MATHEMATICS/PIMS

Journal Papers

International
  • A spatialtemporal weight analysis and novel nonlinear weights of weighted essentially nonoscillatory schemes for hyperbolic conservation laws, Journal of Scientific Computing, , 102, - (2025 )
  • A Numerical Study of WENO Approximations to Sharp Propagating Fronts for ReactionDiffusion Systems, Applied Numerical Mathematics, , , - (2025 )
  • Machine Composition of Korean Music via Topological Data Analysis and Artificial Neural Network, Journal of Mathematics and Music, , 18, 20-41 (2024 )
  • Supervised LowRank Seminonnegative Matrix Factorization with Frequency Regularization for Forecasting Spatiotemporal Data, Journal of Scientific Computing, , 100, - (2024 )
  • Persistent homology of featured time series data and its applications, AIMS MATHEMATICS, , 9, 27028-27057 (2024 )
  • Fifthorder weighted essentially nonoscillatory schemes with new Ztype nonlinear weights for hyperbolic conservation laws, Computers and Mathematics with Applications, , 134, 140-166 (2023 )
  • A Chebyshev multidomain adaptive mesh method for reactiondiffusion equations, Applied Numerical Mathematics, , 190, 283-302 (2023 )
  • The effects of topological features on convolutional neural networksan explanatory analysis via GradCAM, Machine Learning Science and Technology, , 4, - (2023 )
  • Topological data analysis of Korean music in Jeongganbo a cycle structure, Journal of Mathematics and Music, , 17, 403-432 (2023 )
  • Consistent nonoscillatory RBF finite difference solutions to boundary layer problems for any degree on uniform grids, APPLIED MATHEMATICS LETTERS, , 115, - (2021 )
  • Adaptive Gaussian radial basis function methods for initial value problems Construction and comparison with adaptive multiquadric radial basis function methods, Journal of Computational and Applied Mathematics, , 381, 113036- (2021 )
  • An improved error inhibiting block onestep method with radial basis function approximation for ODEs, Lecture Notes in Computational Science and Engineering Sherwin, , 134, 107-118 (2020 )
  • Adaptive radial basis function methods for initial value problems, Journal of Scientific Computing, , 82, - (2020 )
  • Topological data analysis of vascular disease I A Theoretical framework, Frontiers in Applied Mathematics and Statistics, , 6, - (2020 )
  • Iterative spectral mollification and conjugation for successive edge detection, Lecture Notes in Computational Science and Engineering, , 134, 573-585 (2020 )
  • Model discrepancy of Earth polar motion using topological data analysis and convolutional neural network analysis, International Journal of Modern Physics C, , 31, 2050117-1-2050117-19 (2020 )
  • The exact formula of the optimal penalty parameter value of the spectral penalty method for differential equations, Applied Mathematics and Computation, , 381, 125313- (2020 )
  • On the consistency of the finite difference approximation with the RiemannLiouville fractional derivative for 0 alpha 1, Applied Numerical Mathematics, , 153, 35-51 (2020 )
  • Twodimensional local Fourier image reconstruction via domain decomposition Fourier continuation method, PLOS ONE, , 14, 107-23 (2019 )
  • A domain decomposition Fourier continuation method for enhanced L1 regularization using the sparsity of edges in reconstructing Fourier data, Journal of Scientific Computing, , 74, 851-871 (2018 )
  • A note on highprecision approximation of asymptotically decaying solution and orthogonal decomposition, Journal of Scientific Computing, , 76, 189-215 (2018 )
  • Finite Fourier frame approximation using the inverse polynomial reconstruction method, Journal of Scientific Computing, , 76, 1127-1147 (2018 )
Domestic Journal Papers
  • 가중치 변화를 적용한 lt계면가락도드리gt의 위상수학적 데이터 분석 연구 －시김새와 장식음을 중심으로－, 동양음악구 민족음악학, , 53, 351-388 (2023 )
  • 웃도드리와 양청도드리의 선율 구성과 음 집합 연구 －Python 기반의 골격음 분석 도구를 활용하여－, 동양음악구 민족음악학, , 53, 389-424 (2023 )
  • 위상수학적 데이터분석을 이용한 국악연구 Ⅰ －도드리와 수제천의 시김새를 중심으로－, 한국음악연구, , 71, 157-186 (2022 )
  • 국악의 기하학적 구조와 인공지능 작곡, 동양음악구 민족음악학, , 51, 63-98 (2022 )
General Journal Journal
  • Detection of gravitational waves using topological data analysis and convolutional neural network, Journal of the Korean Society for Industrial and Applied Mathematics, , 28, 243-255 (2024 )
  • Do Topological Characteristics Help in Knowledge Distillation, Proceedings of Machine Learning Research PMLR, , 235, 24674-24693 (2024 )
  • A node prediction algorithm with the mapper method based on DBSCAN and GiottoTDA, Journal of the Korean Society for Industrial and Applied Mathematics, , 27, 324-341 (2023 )
  • A NODE PREDICTION ALGORITHM WITH THE MAPPER METHOD BASED ON DBSCAN AND GIOTTOTDA, Journal of the Korean Society for Industrial and Applied Mathematics, , 27, 324-341 (2023 )
  • INSTABILITY OF THE BETTI SEQUENCE FOR PERSISTENT HOMOLOGY AND A STABILIZED VERSION OF THE BETTI SEQUENCE, Journal of the Korean Society for Industrial and Applied Mathematics, , 25, 296-311 (2021 )
  • Proper orthogonal decomposition of discontinuous solutions with the Gegenbauer postprocessing, Journal of the Korean Society for Industrial and Applied Mathematics, , 23, 301-327 (2019 )

Conference Proceedings

  • 데이터와 수학과 인공지능으로 만드는 우리 음악 인공지능 음악 교육과 관련해서, , 0, 0, - (2024)
  • Topological data analysis of Korean music I －Structural effects of Sikimse for Dodeuri and Sujechon－, , 0, 0, - (2022)

IP

  • 정재훈,트란마이란,이동진,박창범, 위상적 데이터 분석을 이용한 음악 데이터 분석 장치 및 방법, 음악 데이터 생성 장치, USA, 18/200,477 (2023)
  • 정재훈,천세훈, 시간지도를 이용한 뇌와 심장 전류 해석 알고리즘, USA, 18/077,628 (2022)
  • 정재훈,천세훈, 활성화 시간 맵을 생성하는 분석 장치 및 활성화 시간 맵을 이용한 대상자 평가 방법, 한국, 10-2022-0170891 (2022)
  • 정재훈,Tran Mai Lan,박창범,이동진, 위상적 데이터 분석을 이용한 음악 데이터 분석 장치 및 방법, 음악 데이터 생성 장치, 한국, 10-2022-0062199 (2022)
  • 정재훈,트란마이란,박창범,이동진, 위상적 데이터 분석을 이용한 음악 데이터 분석 장치 및 방법, 음악 데이터 생성 장치, 한국, 10-2022-0062199 (2022)
  • 정재훈,천세훈, 시간지도를 이용한 뇌와 심장 전류 해석 알고리즘, 한국, 10-2021-0176724 (2021)

Book

  • 국악의 과학적 이해와 인공지능 국악 II, 600, JUNG, JH (2023 )
  • 앨범 포항AI풍류, 60분, JUNG, JH (2023 )
  • 국악의 과학적 이해와 인공지능 국악 I 정악의 분석과 인공지능 방법론, 331, JUNG, JH (2022 )

Invited Talk or Presentations

  • Topological Data Analysis of Time Series Data with Machine Learning, , 0, 0, - (2024)
  • Topological Data Analysis and Machine Learning, , 0, 0, - (2024)
  • Topological data analysis of timeseries data Part I TDA for Music Analysis Part II TDA via dynamical system approach, , 0, 0, - (2024)
  • High order spectral element numerical simulation of vascular flows with stenosis using Nek5000RS, , 0, 0, - (2024)
  • Topological data analysis and machine composition, , 0, 0, - (2024)
  • Topological data analysis of time series data, , 0, 0, - (2023)
  • Topological data analysis of time series data, , 0, 0, - (2023)
  • The Effects of Topological Features on Convolutional Neural Networks An explanatory analysis via GradCAM, , 0, 0, - (2023)
  • Topological data analysis of time series data, , 0, 0, - (2023)
  • Topological data analysis of music data and AI composition, , 0, 0, - (2023)
  • Topological data analysis of time series data, , 0, 0, - (2023)
  • Topological data analysis of Korean music and AIdriven composition , , 0, 0, - (2023)
  • 위상수학과 인공지능으로 만든 우리 음악 도드리, , 0, 0, - (2023)
  • Topological data analysis of time series data, , 0, 0, - (2023)
  • Numerical Approximations of Solutions for ReactionDiffusion Equations with Machine Learning – Homogeneous Neumann Boundary Conditions and Long Time Integrations, , 0, 0, - (2022)
  • Exact Multiparameter Persistent Homology of Timeseries Data Onedimensional Reduction of Multiparameter Persistence Theory, , 0, 0, - (2022)
  • Weighted Random Cut Forest Algorithm for Anomaly Detection, , 0, 0, - (2022)
  • The Effects of Topological Features on Convolutional Neural Networks – How Topological Signatures Enhance CNNs, , 0, 0, - (2022)
  • Topological Data Analysis of Korean Music and Machine Composition, , 0, 0, - (2021)
  • Topological data analysis with convolutional neural networks for timeseries data analysis, , 0, 0, - (2021)
  • Topological data analysis of Korean music and machine composition, , 0, 0, - (2021)
  • Topological data analysis of Korean music and machine composition, , 0, 0, - (2021)
  • The Interconnectivity Vector A FiniteDimensional Vector Representation of Persistent Homology, , 0, 0, - (2021)
  • An application of topological data analysis to gravitational wave detection problem, , 0, 0, - (2021)
  • An application of topological data analysis to gravitational wave detection problem, , 0, 0, - (2020)

Research Activities

  • , 포항공과대학교 (2013-2025)
  • , 포항공과대학교 (2015-2025)
  • , 포항공과대학교 (2016-2025)
  • , 포항공과대학교 (2017-2024)
  • , 포항공대산학협력단 (2017-2029)
  • , 포항공과대학교 (2018-2024)
  • , 포항공과대학교 (2019-2024)
  • , 포항공대산학협력단 (2019-2040)
  • MATHEMATICAL ANALYSIS OF KOREAN MUSIC IN JUNGGANBO WITH TOPOLOGICAL DATA ANALYSIS AND DEEP LEARNING APPROACHES, 아주대학교산학협력단 (2019-2020)
  • , 아주대학교산학협력단 (2019-2020)
  • , 포항공과대학교 (2020-2025)
  • , 아주대학교산학협력단 (2020-2040)
  • TOPOLOGICAL DATA ANALYSIS OF COMPLEX FLOWS AND ITS APPLICATION TO DIAGNOSIS OF VASCULAR DISEASE, 재단법인 삼성미래기술육성재단 (2020-2021)
  • , 포항공과대학교 (2020-2021)
  • , 포항공과대학교 (2020-2021)
  • , 포항공과대학교 (2020-2021)
  • , 포항공과대학교 (2020-2021)
  • DEEP LEARNING AND TOPOLOGICAL DATA ANALYSIS OF VASCULAR DISEASE AND ITS APPLICATIONS, 재단법인한국연구재단 (2020-2020)
  • , 아주대학교산학협력단 (2020-2021)
  • MATHEMATICAL ANALYSIS OF KOREAN MUSIC IN JUNGGANBO WITH TOPOLOGICAL DATA ANALYSIS AND DEEP LEARNING APPROACHES, 재단법인한국연구재단 (2020-2021)
  • , 아주대학교산학협력단 (2020-2021)
  • , 재단법인한국연구재단 (2021-2021)
  • , 포항공과대학교 (2021-2025)
  • , 재단법인한국연구재단 (2021-2021)
  • THEORY AND APPLICATIONS OF SCIENTIFIC COMPUTING AND MACHINE LEARNING USING TOPOLOGICAL DATA ANALYSIS, 재단법인한국연구재단 (2021-2022)
  • , 포항공과대학교 (2021-2022)
  • , 포항공과대학교 (2021-2022)
  • , 재단법인한국연구재단 (2021-2022)
  • , 재단법인한국연구재단 (2021-2022)
  • , 포항공과대학교 (2021-2022)
  • , 포항공과대학교 (2022-2025)
  • , 포항공과대학교 (2022-2023)
  • , 포항공과대학교 (2022-2023)
  • , 재단법인한국연구재단 (2022-2023)
  • , 포항공과대학교 (2022-2025)
  • , 재단법인한국연구재단 (2022-2023)
  • , 재단법인한국연구재단 (2022-2023)
  • THEORY AND APPLICATIONS OF SCIENTIFIC COMPUTING AND MACHINE LEARNING USING TOPOLOGICAL DATA ANALYSIS, 재단법인한국연구재단 (2022-2023)
  • , 재단법인한국연구재단 (2022-2023)
  • AI ADVISORY COUNCIL, (주)포스코알텍 (2022-2023)
  • , 포항공과대학교 (2023-2025)
  • , 포항공대산학협력단 (2023-2040)
  • , 포항공과대학교 (2023-2024)
  • , 재단법인한국연구재단 (2023-2024)
  • , 재단법인한국연구재단 (2023-2024)
  • , 재단법인한국연구재단 (2023-2024)
  • THEORY AND APPLICATIONS OF SCIENTIFIC COMPUTING AND MACHINE LEARNING USING TOPOLOGICAL DATA ANALYSIS, 재단법인한국연구재단 (2023-2024)
  • , 포항공과대학교 (2023-2024)
  • , 재단법인한국연구재단 (2023-2024)
  • , 재단법인한국연구재단 (2023-2024)
  • , 포항공과대학교 (2024-2025)
  • , 재단법인한국연구재단 (2024-2025)
  • , 재단법인한국연구재단 (2024-2025)
  • , 재단법인한국연구재단 (2024-2025)
  • , 재단법인한국연구재단 (2024-2025)
  • THEORY AND APPLICATIONS OF SCIENTIFIC COMPUTING AND MACHINE LEARNING USING TOPOLOGICAL DATA ANALYSIS, 재단법인한국연구재단 (2024-2025)
  • , 재단법인한국연구재단 (2024-2025)
  • Academy of Youth Mathematical Artificial Intelligence, 포항시청 (2024-2024)
  • ACADEMY OF YOUTH MATHEMATICAL ARTIFICIAL INTELLIGENCE, 포항시청 (2024-2025)
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