| Publications |
| Conference papers ○ J. Lee, S.W. Cho, H.J. Hwang, HyperDeepONet: learning operator with complex target function space using the limited resources via hypernetwork, Submitted to ICLR 2023 ○ J. Lee, R. Hwang, J. Shin, H.J. Hwang, Solving PDE-constrained Control Problems using Operator Learning, AAAI 2022 ○ T. Kim, H. Shin, H.J. Hwang. S. Jeong, Posting bot detection on blockchain-based social media platform using machine learning techniques, ICWSM 2021 Journal papers ○ S. Cho, H. Son, H.J. Hwang, Enhancing Marketing Strategies for Small Businesses: Developing a Recommender System using Offline Data To appear in IEEE Access ○ H. Son, H. Cho, H.J. Hwang, Physics-Informed Neural Networks for Microprocessor Thermal Management Model, To appear in IEEE Access ○ H.J. Hwang, C. Kim, M.S. Park, H. Son, The deep minimizing movement scheme, To appear in Journal of Computational Physics ○ M. Park, H.J. Hwang, Concept-Oriented Self-Explaining Neural Networks, To appear in Neural Processing Letters ○ S. Cho, H. Son, H.J. Hwang, Enhanced Physics-Informed Neural Networks with Augmented Lagrangian Relaxation Method (AL-PINNs), To appear in Neurocomputing ○ J. Lee, J. Jang, H.J. Hwang, opPINN: Physics-Informed Neural Network with operator learning to approximate solutions to the Fokker-Planck-Landau equation, Volume 480, 1 May 2023, 112031, Journal of Computational Physics ○ S. Cho, S. Hwang, H.J. Hwang, The monotone traveling wave solution of a bistable three-species competition system via unconstrained neural networks, Mathematical Biosciences and Engineering 20 (4), 7154-7170 2023 ○ W. Han, H.J. Hwang, J. Jang, H. Son, Sobolev Training for Physics Informed Neural Network, Communications in Mathematical Sciences 2023 ○ C. Kim, J. Shin, J. Roh, H.J. Hwang, Prediction on the distributions of the strength and toughness of thick steel plates based on Bayesian neural network, Steel Research International January 2022 ○ H. Son, H.J. Hwang, Lagrangian Dual Framework for Conservative Neural Network Solutions of Kinetic Equations, Kinetic Related Models August 2022, 15(4): 551-568 ○ M. Park, H. Jo, S. Jung, H.J. Hwang, Development of patients triage algorithm is done by Machine Learning, Infectious Diseases and Therapy 2022 Apr;11(2):787-805 ○ R. Hwang, H.J. Hwang, H. Lee, Option compatible reward inverse reinforcement learning, Pattern Recognition Letters Volume 154, February 2022, Pages 83-89 ○ S. Lee, E. Lee, Sung-Soo Park, Min Sue Park, Jaewoo Jung, Gi June Min, Silvia Park, Sung-Eun Lee, Byung-Sik Cho, Ki-Seong Eom, Yoo-Jin Kim, Seok Lee, Hee-Je Kim, Chang-Ki Min, Seok-Goo Cho, Jong Wook Lee, H.J. Hwang, J. Yoon, VOD prediction and treatment set recommendation after hematopoietic stem cell transplantation, Bone Marrow Transplantation volume 57, pages538–546 (2022) ○ C. Kim, H. Moon, H.J. Hwang. Near: Neighborhood Edge AggregatoR for graph classification, ACM Transactions on Intelligent Systems and Technology (TIST) 2022 13 (3), 1-17 ○ C. Kim, J. Shin, H. J. Hwang, Prior Preference Learning From Experts: Designing a Reward with Active Inference, Neurocomputing Volume 492, 1 July 2022, Pages 508-515 ○ C. Kim, J. Shin, J. Roh, H.J. Hwang, Prediction on the distributions of the strength and toughness of thick steel plates based on Bayesian neural network, Steel Research International 2022 ○ H. Son, H.J. Hwang, Lagrangian Dual Framework for Conservative Neural Network Solutions of Kinetic Equations, Kinetic Related Models 2022, 15(4): 551-568 ○ M.S Park, H. Son, C, Hyun, H.J. Hwang, Explainability of Machine Learning Models for Bankruptcy Prediction, IEEE Access (2021), 99 ○ S. Hwang, S. Lee, H.J. Hwang, Neural network approach to data-driven estimation of chemotactic sensitivity in the Keller-Segel model, Mathematical Biosciences and Engineering 2021, Volume 18, Issue 6: 8524-8534 ○ S.Y. Jung, T. Kim, H.J. Hwang, K. Hong, Mechanism design of Token Economy in Healthcare Blockchain system based on Real-World scenarios: Algorithm development and Validation, Journal of Medical Internet Research (2021) No.9, 23 ○ S. Cho, H Sohn, H.J. Hwang, Traveling wave solutions of Partial differential equations via deep neural networks, Journal of Scientific Computing (2021) No.1, 89 ○ E. Lee, J. Jung, H.J. Hwang, S.Y. Jung, Development of an explainable Patient level prediction models of Cancers using nationwide health check-up cohort, JMIR Medical Informatics (2021) No.8, 9 ○ J. Y. Lee, J. W. Jang, H. J. Hwang, The model reduction of the Vlasov-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach, ESIAM M2AN (2021) No.5, 55 ○ Young Hyun Kim, Jin Young Shin, Ari Lee, Seungtae Park, Sang-Sun Han*, Hyung Ju Hwang*, Fully deep learning method of cortical thickness measurement on the mandibular condyle head in temporomandibular joint complex. Scientific Reports (2021) No.1, 11 ○ C. Kim, S, Park, H.J. Hwang, Local Stability and Performance of Simple Gradient Penalty $\mu$-Wasserstein GAN, IEEE Transactions on Neural Networks and Learning Systems (2021) ○ S.Y. Jung, H. Jo, H. Son, H.J. Hwang, Real-World Implications of Rapidly Responsive COVID-19 Spread Model with Time Dependent Parameters Via Deep Learning: Algorithm Development and Validation, Vol 22, No 9 (2020): September, Journal of Medical Internet Research ○ W. Han, H.J. Hwang, A new boundary condition for the Hall-magnetohydrodynamics equation with the ion-slip effect, Journal of Mathematical Fluid Mechanics (2020), no. 4, 56 ○ R. Hwang, H. Jo, K. Kim, H.J. Hwang, Hybrid model of mathematical and neural network formulations for rolling force and temperature prediction in hot rolling processes, August 2020 IEEE Access 3016725 ○ H.J. Hwang, J. Jang, Compactness and global existence of weak solutions to the Landau equation, May 2020 Proceedings of the American Mathematical Society ○ H. Hwang, J. Jang, H. Jo, J. Lee, Trend toward equilibrium for the kinetic Fokker-Planck equation via the neural network approach, June 2020 Journal of Computational Physics 419:109665 ○ H.J. Hwang, H. Jo, E. Kim, H. Son, Deep neural network approach to forward-inverse problems, January 2020 Networks and Heterogeneous Media 15(2) ○ C. Yoon, S. Kim, H.J. Hwang, Stability and bifurcation analysis and simulation for chemotaxis model in immunology, Mathematical Biosciences and Engineering 17 2020 (4), 3426 ○ Y. Guo, H.J. Hwang, J. Jang, Z. Ouyang, The Landau equation with the specular reflection boundary condition, Archive for Rational Mechanics and Analysis 231 2019 (3), 1309-1400 ○ J. Kim, Y. Guo, H. J. Hwang, A L^2-L^{\infty} method for the Landau equation, Peking Mathematical Journal (2019), 1-72 ○ W. Han, H.J. Hwang, B. Moon, On the well-posedness of the Hall-MHD with the ion-slip effect, Journal of Mathematical Fluid Mechanics 21 (2019) (4), 47 ○ H. Son, D. Phan, J. Hyeon, H.J. Hwang, Data Analytic Approach to the Bankruptcy Prediction, Expert Systems with Applications, 138 (2019) 112816 ○ H. Jo, D. Phan, Y. Lee, H. Jang, H.J. Hwang, Endpoint Temperature Prediction model in the LD Converter Using Machine Learning Techniques, 2019 IEEE 6th International Conference on Industrial Engineering and Applications (ICIEA) ○ H.J. Hwang, H. Jo, The diffusive limit of the VFP equation with the chemotactic sensitivity coupled to a parabolic equation, Journal of Mathematical analysis and applications. Volume 477, Issue 2, 15 September 2019, Pages 1224-1242 ○ H.J. Hwang, J. Jang, J. Velazquez, Nonuniqueness for the kinetic Fokker-Planck equations with inelastic boundary conditions, Arch. Ration. Mech. Anal. 231 (2019), no. 3, 1309–1400 ○ H.J. Hwang, Jinoh Kim, The Vlasov-Poisson-Fokker-Planck equation in an interval with kinetic absorbing boundary conditions, Stochastic Processes and their Applications 129 (2019) (1), 240-282 ○ H. J. Hwang, J. Jang, J. Velazquez, On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries, Quart. Appl. Math. 77 (2019), 19-70 ○ H.J. Hwang, J. Jang, J. Jung, The Fokker-Planck equation with absorbing boundary conditions in bounded domains. SIAM Journal on Math. Anal. 50 (2018) (2), 2194–2232 ○ Effect of time-varying flow-shear on the nonlinear stability of the boundary of magnetized toroidal plasmas, AIP Advances 8 (2018), Issue 2, 025224 ○ Lee, S. Kim, Y. Oh, H. J. Hwang, Mathematical modeling and its analysis for instability of the immune system induced by chemotaxis, J. Math. Biol. 75 (2017), no. 5,1101–1131. ○ Y. Oh. D. Park, S.J. Park, M. Fontelos, H. J. Hwang, Variational approach to Powder-Binder Separation in Poiseuille and Couette flows, Physics of Fluids 29 (2017) no. 3, 033102 ○ D. Park, Y. Oh, H.J. Hwang, S.J. Park, An Experimental Approach to Powder-Binder Separation of Feedstock, Powder Technology, 306 (2017), 34–44 ○ H.J. Hwang, D. Phan, On the Fokker-Planck equations with inflow boundary conditions, Quart. Appl. Math. 75(2017), no.2, 287-308 ○ H. Kim, M. Fontelos, H.J. Hwang, Capillary oscillations of drops on a fan-shaped pillar, J. Math. Fluid Mech. 19(2017), no. 2, 255–282. ○ M. Fontelos, Y. Oh, H.J. Hwang, The Vanishing surface tension limit for the Hele-Shaw problem, Discrete Contin. Dyn. Syst. B 21(2016), no. 10, 3479 – 3514. ○ M. Fontelos, Y. Oh, H.J. Hwang, Stability, Instability, and bifurcation in electrified thin films, SIAM J. Math. Anal. 48 (2016), no. 4, 2730–2782. ○ E. Esenturk, H.J. Hwang, Stability of solutions for the Vlasov-Poisson system with boundary conditions, Nonlinear Anal. 139 (2016), 75–105. ○ S. Hong, M. Fontelos, H.J. Hwang, The contact line of an evaporating droplet over a solid wedge and the pinned–unpinned transition, J. Fluid Mech. 791 (2016),519–538. ○ M. Fontelos, S.H. Hong, H.J. Hwang, A stable self-similar singularity of evaporating drops: ellipsoidal collapse to a point, Arch. Ration. Mech. Anal. 217 (2015), no. 2, 373–411. ○ Optimum design for effective water transport through double-layer porous hydrogel analogous to leaf mesophyll cells, BIOMICROFLUIDICS 9, 024104 (2015) ○ H.J. Hwang, J. Jang, J. Jung, On the kinetic Fokker-Planck equation in the half-space with absorbing barriers, Indiana Univ. Math. J. 64 (2015), no. 6, 1767–1804. ○ E. Esenturk, H.J. Hwang, W. Strauss, Stationary solutions of the Vlasov-Poisson system with diffusive reflection conditions, J. Nonlinear Sci. 25 (2015), no. 2, 315–342. ○ H.J. Kim, M. Fontelos, H.J. Hwang, Capillary oscillations at the exit of nozzle, IMA J. Appl. Math. 80 (2015), no. 4, 931–962. ○ J. Lee, J.K. Park, J. Hong, S. Lee, K. Kang, H.J. Hwang, Nonlinear oscillations of drops perturbed by an electrical force, PHYSICAL REVIEW E 90, 033017 (2014) ○ H.J. Hwang, J. Jang, J. Velazquez, The Fokker-Planck equation with absorbing boundary conditions, Arch. Rat. Mech. Anal. 214 (2014), No 1 , 183-233 ○ S. Lee, H.J. Hwang, and Y. Kim, Onset of the Th17 Phenotype in Asthma development: The role of TGF-beta, Bull. Math. Biol. 76 (2014), no. 5, 1045–1080. ○ H.J. Hwang and J. Velazquez, Bistable stochastic biochemical networks: Large chemical networks and systems with many molecules, J. Math. Chem. 51 (2013), no. 8, 2074–2103. ○ Y. Kim, S. Lee, Y. Kim, S. Lawler, Y. S. Gho, Y. Kim, H. J. Hwang, Regulation On Th1/Th2 Cells In Asthma Development: A Mathematical Model, Math. Biosci. Eng. 10 (2013), no. 4, 1095–1133. ○ T. Hoang and H.J. Hwang, Turing Instability in a general system, Nonlinear Anal. 91 (2013), 93–113. ○ H.J. Hwang and J. Velazquez, Bistable stochastic biochemical networks: Highly specific systems with few molecules, J. Math. Chem. 51 (2013), no. 5, 1343–1375. ○ H.J. Kim, M. Fontelos, H.J. Hwang, Capillary oscillations at a circular orifice, Appl. Math. Lett. 26 (2013), no. 5, 559–565. ○ H. J. Hwang, Juhi Jang, On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian, Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 3, 681–691. ○ H.J. Hwang, J. Jung, J. Velazquez, On global existence of the Vlasov-Poisson system in bounded domains, Discrete Contin. Dyn. Syst. A, 33 (2013), no. 2, 723 – 737. ○ T. Hoang and H.J. Hwang, Dynamic pattern formation in Swift-Hohenberg Equations, Quart. Appl. Math. 69 (2011), no. 3, 603–612. ○ C. Xue, H.J. Hwang, R. Erban, K. Painter, Travelling waves in hyperbolic chemotaxis equations, Bull. Math. Biol. 73 (2011), no. 8, 1695–1733. ○ H.J. Hwang, A. Rendall, and J. Velazquez, Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data, Arch. Rat. Mech. Anal. 200 (2011), no. 1, 313–360 ○ Y. Guo and H.J. Hwang, Patten fromation I: Keller-Segel model, J. Differential Equations 249 (2010) 1519–1530 ○ H.J. Hwang and J. Velazquez, Global existence for the Vlasov-Poisson system in bounded domains, Arch. Rat. Mech. Anal. 195 (2010), no. 3, 763- ○ H.J. Hwang and J. Velazquez, On On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem, Indiana Univ. Math. J. 58 (2009), no. 6, 2623-2660 ○ H.J. Hwang and J. Velazquez, On global existence for the Vlasov-Poisson system in a half space, J. Differential Equations, 58 (2009), no. 6, 1915-1948 ○ M. Chae, S. Ha and H.J. Hwang, Dispersion estimates and uniform L1-stability estimate of the Vlasov-Poisson system in a half space, Commun. Math. Sci. 7 (2009), no. 1, 189-209 ○ H.J. Hwang and T. Witelski, Short-time Pattern formation in thin film equations, Discrete Contin. Dyn. Syst. 23 (2009), no. 3, 867-885 ○ P. Daripa and H.J. Hwang, Nonlinear instability of Hele-Shaw flows with smooth viscous profiles, J. Differential Equations 245 (2008) no. 7, 1819-1837. ○ H.J. Hwang and J. Schaeffer, Uniqueness for Weak Solutions of a One Dimensional Boundary Value Problem for the Vlasov-Poisson System, J. Differential Equations 244 (2008) no. 10, 2665-2691. ○ H.J. Hwang, Variational approach to nonlinear gravity-driven instabilities in a MHD setting, Quarterly of Applied Mathematics 66 (2008) No. 2, 303-324. ○ Y. Guo and H.J. Hwang, Pattern formation (II): The Keller-Segel model, Proc. AMS 135 (2007), 2855-2866. ○ C. Besse, P. Degond, H.J. Hwang and R.Poncet, Nonlinear instability of the two-dimensional striation model about smooth steady states, Comm. in PDE 32 (2007) no. 7, 1017-1041. ○ M. Choe, S. Ha and H.J. Hwang, Time-Asymptotic Behavior of the Vlasov-Poisson system near vacuum, J. Differential Equations 230 (2006), no. 1, 71--85. ○ R. Erban and H.J. Hwang, Global existence results for the complex hyperbolic models of bacterial chemotaxis, Discrete Contin. Dyn. Syst. Ser. B 6 (2006), no. 6, 1239--1260. ○ H.J. Hwang, K. Kang and A. Stevens, Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit, Indiana Univ. Math. J. 55 (2006), no. 1, 289--316. ○ H.J. Hwang, K. Kang and A. Stevens, Global solutions of nonlinear transport equations for chemosensitive movement, SIAM J. Math. Anal. 36 (2005), no. 4, 1177--1199. ○ H.J. Hwang, K. Kang and A. Stevens, Drift-diffusion limits of kinetic models for chemotaxis: a generalization, Discrete Contin. Dyn. Syst. Ser. B 5 (2005), no. 2, 319--334. ○ H.J. Hwang, Regularity for the Vlasov-Poisson System In a Convex Domain , SIAM J. on Math. Anal. 36 (2004), no. 1, 121-171. ○ Y. Guo and H.J. Hwang, On the dynamical Rayleigh-Taylor instability Arch. Rat. Mech. Anal. 167 (2003), no. 3, 235-253. ○ H.K. Kim and H.J. Hwang, Values of zeta functions and class number 1 criterion for the simplest cubic fields, Nagoya Math. J. 160 (2000), 161-180. |
| Preprints |
| - J. Lee, J. Shin, H.J. Hwang, Pseudo-Differential Integral Operator for Learning Solution Operators of Partial Differential Equations, submitted - R. Hwang, J Ryu, S.Park, H.J. Hwang, Solving Pdes on Point Clouds by Physics-Informed Learning with Graph Neural Networks, submitted - R. Hwang, S. Park, W. Bin, H.J. Hwang, Anomaly Detection in Time-Series Sensor Data and Its Application to Semiconductor Manufacturing, submitted - J. Choi, S. Hwang, H.J. Hwang Transfer Learning for Regression Problems in Manufacturing data, submitted - J. Lee, S. Cho, H.J. Hwang, GraphDeepONet: Learning to simulate time-dependent partial differential equations using graph neural network and deep operator network,, submitted |
| Book Chapter |
| ○ Fundamentals of inkjet printing: the science of inkjet and droplets, “Drops on substrates”, pages 199–218, Wiley-VCH, 2016 |
| Patents |
| • 제조공정 데이터에서 품질 불량률 예측을 위한 분포 예측 모델링 방법 {A distribution prediction modelling technique for predicting a defect rate of manufacturing process data} (출원번호: 제2021-0121062호) • 지식 전이 모델 및 이를 수행하는 프로그램이 저장된 컴퓨터 판독 가능한 저장매체 {Knowledge transfer model and computer-readable storage medium in which program to perform them are stored} (출원번호: 2020-0177855) • 인공지능 알고리즘을 적용한 공장 자동화용 지능 제어기의 역공학 및 로직 복구 자동화 방안 {A.I.-based Reverse Engineering and Automated Logic Recovery Scheme of Intelligent Controller for Factory Automation} (출원번호: 10-2019-0133430) • 기계학습 기법 기반 블록체인 SNS 포스팅 봇 탐지 알고리즘 {Machine Learning based posting bot detection algorithm for blockchain SNS} (특허 제 10-2085593/출원번호:10-2019-0113234) • 인공지능 기반 역공학을 이용한 공장 자동화 시스템의 분석 방법 {Analysis method of factory automation system using artificial intelligence-based reverse engineering} (특허 제 10-19299955호/출원번호: 10-2018-0101425) • 인공지능 기반 역공학을 이용한 공장 자동화용 제어기의 분석 방법 {Analysis method of controller for factory automation using artificial intelligence-based reverse engineering} (특허 제 10-2132659/출원번호: 10-2018-0071559) |