- Large-Scale Convex Optimization via Monotone Operators.
**E. K. Ryu**and W. Yin, 2020.

- Decentralized Proximal Gradient Algorithms with Linear Convergence Rates. S. A. Alghunaim,
**E. K. Ryu**, K. Yuan, A. H. Sayed,*IEEE Transactions on Automatic Control*, 2020. - ODE Analysis of Stochastic Gradient Methods with Optimism and Anchoring for Minimax Problems and GANs.
**E. K. Ryu**, K. Yuan, and W. Yin,*Manuscript*. - Scaled Relative Graph: Nonexpansive operators via 2D Euclidean Geometry.
**E. K. Ryu**, R. Hannah, and W. Yin,*Manuscript*. - Tight Coefficients of Averaged Operators via Scaled Relative Graph. X. Huang,
**E. K. Ryu**, and W. Yin,*Journal of Mathematical Analysis and Applications*, 2020. - Scaled Relative Graph of Normal Matrices. X. Huang,
**E. K. Ryu**, and W. Yin,*Manuscript*. - Operator Splitting Performance Estimation: Tight Contraction factors and Optimal Parameter Selection.
**E. K. Ryu**, A. B. Taylor, C. Bergeling, P. Giselsson,*SIAM Journal on Optimization*, 2020. Code. - Splitting with Near-Circulant Linear Systems: Applications to Total Variation CT and PET.
**E. K. Ryu**, S. Ko, and J.-H. Won,*SIAM Journal on Scientific Computing*, 2020. Code, Slides. - Linear Convergence of Cyclic SAGA. Y. Park,
**E. K. Ryu**,*Optimization Letters*, 2020. - Finding the Forward-Douglas-Rachford-Forward Method.
**E. K. Ryu**and B. C. Vũ,*Journal of Optimization Theory and Applications*, 2020. - Uniqueness of DRS as the 2 Operator Resolvent-Splitting and Impossibility of 3 Operator Resolvent-Splitting.
**E. K. Ryu**,*Mathematical Programming Series A*, 2020. Code, Slides, Video (Overview), Video (Proof of Theorem 1), Video (Proof of Theorem 2), Video (Proof of Theorem 3), Video (Proof of Theorem 4). - Plug-and-Play Methods Provably Converge with Properly Trained Denoisers.
**E. K. Ryu**, J. Liu, S. Wang, X. Chen, Z. Wang, and W. Yin,*International Conference on Machine Learning*, 2019. Code, Slides, Video. - Douglas-Rachford Splitting and ADMM for Pathological Convex Optimization.
**E. K. Ryu**, Y. Liu, and W. Yin,*Computational Optimization and Applications*, 2019. Slides. - A New Use of Douglas-Rachford Splitting for Identifying Infeasible, Unbounded, and Pathological Conic Programs. Y. Liu,
**E. K. Ryu**, and W. Yin,*Mathematical Programming Series A*, 2019. - Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and Applications.
**E. K. Ryu**, Y. Chen, W. Li, and S. Osher,*SIAM Journal on Scientific Computing*, 2018. Code. - Cosmic Divergence, Weak Cosmic Convergence, and Fixed Points at Infinity.
**E. K. Ryu**,*Journal of Fixed Point Theory and Applications*, 2018. - Unbalanced and Partial L1 Monge-Kantorovich Problem: A Scalable Parallel First-Order Method.
**E. K. Ryu**, W. Li, P. Yin, and S. Osher,*Journal of Scientific Computing*, 2018, Slides. - A Parallel Method for Earth Mover's Distance. W. Li,
**E. K. Ryu**, S. Osher, W. Yin, and W. Gangbo,*Journal of Scientific Computing*, 2018. Code. - Convex Optimization for Monte Carlo: Stochastic Optimization for Importance Sampling.
**E. K. Ryu**, Stanford University PhD thesis, Advisor: Stephen P. Boyd, 2016. - A Primer on Monotone Operator Methods.
**E. K. Ryu**and S. Boyd,*Applied and Computational Mathematics*, 2016. - Risk-Constrained Kelly Gambling. E. Busseti,
**E. K. Ryu**, and S. Boyd,*Journal of Investing*, 2016. - Extensions of Gauss Quadrature via Linear Programming.
**E. K. Ryu**and S. Boyd,*Foundations of Computational Mathematics*, 2015. - Computing Reaction Rates in Bio-molecular Systems Using Discrete Macro-states. E. Darve and
**E. K. Ryu**. In T. Schlick, editor,*Innovations in Biomolecular Modeling and Simulations.*Royal Society of Chemistry, 2012. - Structural Characterization of Unsaturated Phosphatidylcholines Using Traveling Wave Ion Mobility Spectrometry. H. Kim, H. Kim, E. Pang,
**E. K. Ryu**, L. Beegle, J. Loo, W. Goddard, and I. Kanik.*Analytical Chemistry*, 2009.