Gyeongha Hwang (황경하, 黃敬夏)

Associate Professor

Department of Mathematics, Yeungnam University, Korea

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e-mail : ghhwang@yu.ac.kr

Academic Appointments

• • 09.2024-

    • Associate Professor

    • Department of Mathematics, Yeungnam University, Korea

  • 09.2018-08.2024

    • Assistant Professor

    • Department of Mathematics, Yeungnam University, Korea

  • 08.2015–07.2018

    • Postdoctoral Fellow

    • Mathematics Division, National Center for Theoretical Sciences, Taiwan

  • 09.2014–07.2015

    • Visiting Assistant Professor

    • Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Korea

  • 03.2014–08.2014

    • Postdoctoral Researcher

    • Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Korea

  • 09.2012–02.2014

    • Postdoctoral Researcher

    • Department of Mathematical Sciences, Seoul National University, Korea

Education

• 03.2006–08.2012 

  • Ph. D.

  • Pohang University of Science and Technology, Korea

  • Major : Mathematics

  • Ph. D. Thesis Title : On fractional Schrödinger equations with Hartree type nonlinearity

  • Supervisor : Prof. Yongsun Shim

• 03.2002–02.2006 

  • B. S.

  • Pohang University of Science and Technology, Korea

  • Major : Computer Science and Engineering, Mathematics

Research Interests  : Deep Learning for Inverse Problems

• Self-Supervised Learning in Medical Imaging

  • Low-Dose CT Reconstruction

  • Sparse-View CT Reconstruction

  • CT Super-Resolution

  • Semantic Segmentation for CT

• Unsupervised Learning for Blind Inverse Problems

In Preparation

1. N. H. Naing, S. Lee, U. Pyo, Y. Kim and G. Hwang, "BS2SD : Blind-spot Self-Supervised learning for Salt-and-pepper Denoising"

2. B. Walder, M. Haltmeier, L. Neumann, N. Gruber, J. Schwab, G. Hwang, "ESIR : Equivariant Self-Supervised Image Reconstruction"

3. B. Walder, M. Haltmeier, L. Neumann, N. Gruber, G. Hwang, "ELIPPS : Equivariant Learning for Inverse Problems under Partial Supervision"

4. N. Gruber,  L. Neumann, G. Hwang, M. Haltmeier, J. Schwab, "BenchS2I: Systematic Benchmarking and Extensions of Splitting based methods for Self-Supervised Sparse-View CT"

5. N. H. Naing and G. Hwang, "Sparse2Seg : Self-supervised learning for Sparse view CT Segmentation"

6. N. H. Naing, N. Naheed and G. Hwang, "SIRUMN : Self-supervised Image Reconstruction Under Multiplicative Noise"

Submitted for Publications

• 1. G. Hwang, G. Jeon, D. Park and S. Moon, "Implicit learning for determining the variable sound speed and the reconstruction operator in PAT", to appear in Applied Mathematics in Science and Engineering

  2. D. Obmann,  G. Hwang and M. Haltmeier, "Implicit non-variational regularization of inverse problems"

  3. M. Haltmeier, L. Neumann, N. Gruber, J. Schwab, G. Hwang, "HyDRA: Hybrid Denoising Regularization for Measurement-Only DEQ Training"

  4. M. Haltmeier, G. Hwang, "Data-Consistent Learning of Inverse Problems"

  5. M. Haltmeier, L. Neumann, N. Gruber, G. Hwang, "SPLIT: Self-Supervised Reconstruction for Nonlinear Tomography"

  6. G. Jeon, N. H. Naing and G. Hwang, "SelfPMRI: Self-Supervised Joint Sensitivity Maps Estimation and Image Reconstruction in Parallel MRI"

  7. G. Jeon and G. Hwang, "SelfPAT: Self-supervised joint estimation of sound speed and initial pressure in PAT"

  8. M. Haltmeier, N. Gruber and G. Hwang, "Self-Supervised Angular Deblurring in Photoacoustic Reconstruction via Noisier2Inverse"

Refereed Journal Publications

• 1. M. Haltmeier and G. Hwang, "ECALL: Estimation-calibrated learning for joint deconvolution and kernel inference from unpaired data", Journal of Inverse and Ill-posed Problems, vol. 33, no. 5, 2025, pp. 647-664                    

  2. N. Gruber, J. Schwab, M. Haltmeier, A. Biguri, C. Dlaska and G. Hwang, "Noisier2Inverse: Self-Supervised Learning for Image Reconstruction With Correlated Noise",  IEEE Access, vol. 13, pp. 139445-139459, 2025

  3. X. Cheng, Z. Guo, G. Hwang and H. Yoon, "Global Well-Posedness and Scattering of the Two Dimensional Cubic Focusing Nonlinear Schrödinger System",  Journal of Differential Equations 433, 113225, 2025

  4. G. Hwang, "Probabilistic Radial Strichartz Estimates and Its Application",  Funkcialaj Ekvacioj 67 (2), 199-216, 2024

  5. J.L. Chern, M. Hashizume and G. Hwang, "Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials",  Applicable Analysis 103 (10), 1831-1845, 2024

  6. G. Hwang and M. Kar, "Reconstructing unknown inclusions for the biharmonic equation",  Journal of Mathematical Analysis and Applications 530 (2), 127745, 2024

  7. G. Hwang, H. Yoon, "Probabilistic local wellposedness of 1D quintic NLS below L2 (R)", Journal of Mathematical Analysis and Applications 527 (1), 127195, 2023

  8. Y. Jung, H. Kim, G. Hwang, S.H. Baek, S. Lee, "Mesh density adaptation for template-based shape reconstruction", ACM SIGGRAPH 2023 Conference Proceedings, 1-10, 2023

  9. G. Ju, Y. Choi, D. Lee, J.H. Paik, G. Hwang, S. Lee, "Self-Supervised Dehazing Network Using Physical Priors", Asian Conference on Computer Vision, 290-305, 2022

  10. Y. Choi, J. Paik, G. Ju, D. Lee, G. Hwang, S. Lee, "Non-Homogeneous Haze Synthesis for Hazy Image Depth Estimation Using Deep Learning", Journal of the Korea Computer Graphics Society 28 (3), 45-54, 2022

  11. J.L. Chern, G. Hwang, J. Takahashi and E. Yanagida, "On the evolution equation with a dynamic Hardy-type potential", Journal of Evolution Equations 21 (2), 2141-2165, 2021

  12. J.L. Chern, C.H. Chen and G. Hwang, "Structure of minimizers of cafarelli-kohn-nirenberg inequality", Tohoku Mathematical Journal 72 (4), 551-567, 2020

  13. J.L. Chern, M. Hashizume and G. Hwang, "Properties of solutions to semilinear elliptic problem with Hardy potential", Journal of Differential Equations 269 (2), 1432-1464, 2020

  14. G. Hwang, "Well-posedness and Scattering for the Critical Fractional Schrödinger Equations", Funkcialaj Ekvacioj 63 (2), 231-245, 2020

  15. G. Hwang, "Probabilistic well-posedness of the mass-critical NLS with radial data below L2 (Rd)", Journal of Mathematical Analysis and Applications 475 (2), 1842-1854, 2019

  16. M. Hashizume, C.H. Hsia and G. Hwang, "On the Neumann Problem of Hardy-Sobolev critical equations with the multiple singularities", Communications on Pure and Applied Analysis 18 (1), 301–322, 2019

  17. G. Hwang, "Almost Sure Well-Posedness of Fractional Schrödinger Equations with Hartree Nonlinearity", Publications of the Research Institute for Mathematical Sciences 54 (1), 1-45, 2018

  18. G. Hwang and C. Kwak, "Probabilistic well-posedness of generalized KdV", Proceedings of the American Mathematical Society 146 (1), 267-280, 2018

  19. Y. Cho, G. Hwang and C. Yang, "On the modified scattering of 3-D Hartree type fractional Schrödinger equations with Coulomb potential", Adv. Differential Equations. 23 (2018), no. 9-10, 649-692, 2018

  20. Y. Cho, G. Hwang and T. Ozawa, "On the focusing energy-critical fractional nonlinear Schrödinger eqautions", Adv. Differential Equations 23 (2018), no. 3-4, 161–192, 2018

  21. Y. Cho, G. Hwang and T. Ozawa, "Corrigendum to "On small data scattering of Hartree equations with short-range interaction" [Comm. Pure. Appl. Anal., 15 (2016), 1809--1823]", Commun. Pure. Appl. Anal Vol.16, Issue 5, 2017, 1939-1940

  22. Y. Cho, G. Hwang and T. Ozawa, "On small data scattering of Hartree equations with short-range interaction", Commun. Pure. Appl. Anal Vol.15, Issue 5, 2016, 1809-1823

  23. Y. Cho, G. Hwang and Y. Shim, "Energy concentration of the focusing energy-critical fNLS", J. Math. Anal. Appl. 437 (2016), no. 1, 310-329

  24. Y. Cho, G. Hwang, S. Kwon and S. Lee, "Well-posedness and ill-posedness for the cubic fractional Schrödinger equations", DCDS-A (Vol. 35, No. 7) 2015, 2863-2880

  25. Y. Cho, G. Hwang, S. Kwon and S. Lee, "On the finite time blowup for Hartree equations", P. ROY. SOC. EDINB (145A) 2015, 467-479

  26. Y. Cho, H. Hajaiej, G. Hwang and T. Ozawa, "On the orbital stability of fractional Schrödinger equations", Commun. Pure. Appl. Anal Vol.13, No.3, 2014, 1267-1282

  27. Y. Cho, G. Hwang, S. Kwon and S. Lee, "Profile decompositions of fractional Schrödinger equations with angularly regular data", J. Differential. Equations 256 (2014), 3011-3037

  28. Y. Cho, G. Hwang, S. Kwon and S. Lee, "Profile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations", Nonlinear Analysis 86 (2013), 12-29

  29. Y. Cho, H. Hajaiej, G. Hwang and T. Ozawa, "On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity", Funkcialaj Ekvacioj 56 (2013), 193-224

  30. Y. Cho, G. Hwang and T. Ozawa, "Global well-posedness of critical nonlinear Schrödinger equations below $L^2$", DCDS-A (Vol. 33, No. 4) 2013, 1389-1405

  31. Y. Cho, G. Hwang and S. Lee, "An endpoint Strichartz estimate in polar coordinates", RIMS Kokyuroku Bessatsu B33 (2012), 49-57