Optimization + MCMC sampling + Networks

  1. Hanbaek Lyu, Deanna Needell, and Laura Balzano, “Online matrix factorization for markovian data and applications to network dictionary learning.” Journal of Machine Learning Research. 21(251):1−49, 2020 [Journal, Preprint, ,GitHub
  2. Christopher Strohmeier, Hanbaek Lyu, and Deanna Needell, “Online nonnegative CP tensor decomposition for Markovian data” NeurIPS Workshop on Optimization for Machine Learning, 2020 [PublicationPoster]
  3. Hanbaek Lyu, Georg Menz, Deanna Needell, and Christopher Strohmeier, “Applications of Online Nonnegative Matrix Factorization to Image and Time-Series Data.” 2020 Information Theory and Applications Workshop (ITA) 2020 (Publication, Preprint)                       ———————————————————————————–
  4. Hanbaek Lyu, “Convergence of block coordinate descent with diminishing radius for nonconvex optimizationPreprint (2020)
  5. Hanbaek Lyu, Yacoub Kureh, Joshua Vendrow*, and Mason A. Porter, “Learning low-rank mesoscale structures of networks” (2020) [Draft: NDL] [GitHub, Python package “ndlearn”]
  6. Lara Kassab, Alona Kryshchenk, Hanbaek Lyu, Denali Molitor, Deanna Needell, and Elizaveta Rebrova, “On Nonnegative Matrix and Tensor Decompositions for COVID-19 Twitter Dynamics.” Submitted. Preprint (2020)
  7. Christopher Strohmeier, Hanbaek Lyu, and Deanna Needell, “Online nonnegative tensor factorization and CP-Dictionary Learning for Markovian data” Submitted. Preprint (2020) [GitHub]
  8. Hanbaek Lyu, Christopher Strohmeier, Georg Menz, and Deanna Needell, “COVID-19 Time-series Prediction by Joint Dictionary Learning and Online NMF.Preprint (2020) [GitHub]
  9. Hanbaek Lyu, Facundo Memoli, and David Sivakoff, “Sampling random graph homomorphisms and applications to network data analysis.” Submitted. Preprint (2019) [GitHub]             

Contingency tables

  1. Sam Dittmer, Hanbaek Lyu, and Igor Pak, “Phase transition in random contingency tables with non-uniform margins.” Trans. Amer. Math. Soc. 373 (2020), pp. 8313-8338. (Journal, Preprint)                     ———————————————————————————–
  2. Hanbaek Lyu and Igor Pak, “On the number of contingency tables and the independence heuristic.” Submitted. Preprint (2020)

Cellular Automata and Interacting Particle Systems

  1. Michael Damron, Hanbaek Lyu, David Sivakoff, “Stretched exponential decay for subcritical parking times on Z^d.” To appear in Random Structures and Algorithms. Preprint (2020)
  2. Eric Foxall and Hanbaek Lyu, “Clustering in the three and four color cyclic particle systems in one dimension.” Journal of Statistical Physics, , Volume 171, Issue 3, pp 470–483. (Journal, Preprint)
  3. Hanbaek Lyu and David Sivakoff, “Persistence of sums of correlated increments and clustering in cellular automata.” Stochastic Processes and Applications, Volume 129, Issue 4, April 2019, Pages 1132-1152 (Journal, Preprint)
  4. Michael Damron, Janko Gravner, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Parking on transitive unimodular graphs.” Annals of Applied Probability, Volume 29, Number 4 (2019), 2089-2113 (Journal, Preprint)
  5. Janko Gravner, Hanbaek Lyu, and David Sivakoff, “Limiting behavior of 3-color excitable media on arbitrary graphs.” Annals of Applied Probability, Volume 28, Number 6 (2018), 3324-3357. (Journal, Preprint)                                                                                                                                ———————————————————————————-
  6. Luis Benitez, Matthew Junge, Hanbaek Lyu, Maximus Redman, Lily Reeves, “Three-velocity coalescing ballistic annihilation.” Preprint (2020)
  7. Tobias Johnson, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Particle density in diffusion-limited annihilating systems.Preprint (2020)
  8. Matthew Junge and Hanbaek Lyu, “The phase structure in asymmetric ballistic annihilation.Preprint (2018)

Solitons and Box-ball Systems

  1. Atsuo Kuniba, Hanbaek Lyu, and Masato Okado, “Randomized box-ball systems, limit shape of rigged configurations and Thermodynamic Bethe ansatz.” Nuclear Physics B (2018). (Journal, Preprint)
  2. Atsuo Kuniba and Hanbaek Lyu, “Large deviations and one-sided scaling limit of multicolor box-ball system”. Journal of Statistical Physics, 178(1), 38-74. (Journal, Preprint)
  3. Lionel Levine, Hanbaek Lyu, and John Pike, “Double jump phase transition in a soliton cellular automaton.” International Mathematics Research Notices, rnaa166, (Journal, Preprint)                                             ———————————————————————————-
  4. Joel Lewis, Hanbaek Lyu, Pavlo Pylyavskyy, and Arnab Sen, “Scaling limit of soliton lengths in a multicolor box-ball system.Preprint (2019)

Coupled oscillators and Clock Synchronization

  1. Hanbaek Lyu, “Global synchronization of pulse-coupled oscillators on trees.” SIAM Journal on Applied Dynamical Systems 2018, Vol. 17, No. 2. (Journal, Preprint)
  2. Hanbaek Lyu, “Synchronization of finite-state pulse-coupled oscillators”, Physica D: Nonlinear Phenomena 303 (2015): 28-38. (Journal, Preprint)                                                                                                            ———————————————————————————–
  3. Hardeep Bassi*, Richard Yim*, Rohith Kodukula*, Joshua Vendrow*, Cherlin Zhu*, Hanbaek Lyu, “Learning to predict synchronization of coupled oscillators on heterogeneous graphs.” [Preprint, GitHub] (2020)  
  4. Hanbaek Lyu and David Sivakoff, “Synchronization of finite-state pulse-coupled oscillators on Z.” Submitted. Preprint (2017)
  5. Hanbaek Lyu, “Phase transition in firefly cellular automaton on finite trees.” Preprint (2016)

Graph Theory

  1. Hanbaek Lyu, “Chromatic number, induced cycles, and non-separating cycles.” Graphs and Combinatorics. 36, 1297–1310 (2020) (Journal, Preprint)

Papers from REU projects

  1. Y. Guo*, N. Hanoian*, Z. Lin*, N. Liskij*, H. Lyu, D. Needell, J. Qu*, H. Sojico*, Y. Wang*, Z. Xiong*, and Z. Zou*, “Topic-aware Chatbot Using Recurrent Neural Networks and Nonnegative Matrix Factorization.” Preprint (2019) [From Summer REU 2019] [GitHub]

In  preparation

  1. Hanqin Cai, Hanbaek Lyu, Deanna Needell, and Chris Strohmeier, “Robust Online CP Dictionary Learning”
  2. Sungwon Ahn, Jacob Richey, Lily Wang, Matthew Junge, Hanbaek Lyu, and David Sivakoff, “Phase transition in parking process with coalescing cars

Undergraduate works

  1. Hanbaek Lyu, “A note on the graph characteristics and Hadwiger’s conjecture.” arXiv preprint arXiv:1203.3710 (2012)

(author*=undergraduate student)

Probability, combinatorics, and complex systems

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