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Articles by Hong Chul
Computer Science > Machine Learning
Solving dynamical systems in complex and diverse geometries remains challenging for both numerical solvers and learning-based surrogate models. We propose Neural Operator Splitting, a framework for learning fluid dynamics while preserving the physical structure of fractional-step numerical schemes.
[2603.01193] Operator Learning Using Weak Supervision from Walk-on-Spheres
[Submitted on 1 Mar 2026] Title:Operator Learning Using Weak Supervision from Walk-on-Spheres View a PDF of the paper titled Operator Learning Using Weak Supervision from Walk-on-Spheres, by Hrishikesh Viswanath and 5 other authors View PDF HTML (experimental) Abstract:Training neural PDE solvers is often bottlenecked by expensive data generation or unstable physics-informed neural network (PINN) that involves challenging optimization landscapes due to higher-order derivatives.
[2406.03494] Solving Poisson Equations using Neural Walk-on-Spheres
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Victima: Drastically Increasing Address Translation Reach by Leveraging Underutilized Cache Resources
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Magnetic wallpaper Dirac fermions and topological magnetic Dirac insulators
npj Computational Materials, Apr 2023 This is a preview of a remote PDF: https://www.nature.com/articles/s41524-023-01018-3.pdf Hwang, Yoonseok, Qian, Yuting, Kang, Junha, Lee, Jehyun, Ryu, Dongchoon, Choi, Hong Chul, Yang, Bohm-Jung. , npj Computational Materials, DOI: 10.1038/s41524-023-01018-3
Correction to: Cost Effectiveness of Allogeneic Umbilical Cord Blood-Derived Mesenchymal Stem Cells in Patients with Knee Osteoarthritis - Applied Health Economics and Health Policy
Correction to: Applied Health Economics and Health Policy https://doi.org/10.1007/s40258-022-00762-9 This article was originally published electronically on the publisher’s internet portal on 22nd September 2022 without open access.
Cost Effectiveness of Allogeneic Umbilical Cord Blood-Derived Mesenchymal Stem Cells in Patients with Knee Osteoarthritis - Applied Health Economics and Health Policy
Abstract Objectives The aim of this study was to assess the cost effectiveness of allogeneic umbilical cord blood-derived mesenchymal stem cells with sodium hyaluronate (hUCB-MSC) compared with microfracture in patients with knee cartilage defects caused by osteoarthritis (OA) in South Korea. Methods A partitioned survival model approach was taken consisting of five mutually exclusive health states: excellent, good, fair, poor, and death over a 20-year time horizon.
Mechanically Robust, Highly Ionic Conductive Gels Based on Random Copolymers for Bending Durable Electrochemical Devices
Mechanically robust, highly ionic conductive gels based on a random copolymer of poly[styrene-ran-1-(4-vinylbenzyl)-3-methylimidazolium hexafluorophosphate] (P[S-r-VBMI][PF ]) and the ionic liquid 1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide ([EMI][TFSI]) are successfully prepared. The gels with either homo P[VBMI][PF ] or conventional PS-block-poly(methyl methacrylate)-block-PS (SMS) show significant trade-off between ionic conductivity and mechanical resilience.
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