Selected Papers

Exploration and Surveillance

• Efficient and robust Sensor Placement in Complex Environments. Lukas Taus and Yen-Hsi Richard Tsai. Preprint 2023 [paper][video]

• Autonomous Exploration, Reconstruction, and Surveillance of 3d Environments aided by Deep Learning. Louis Ly and Yen-Hsi Richard Tsai. 2019 International Conference on Robotics and Automation (ICRA). IEEE, 2019. [paper] [slides] [talk]

• Strategy Synthesis for Surveillance-evasion Games with Learning-enabled Visibility Optimization. Suda Bharadwaj, Louis Ly, Bo Wu, Yen-Hsi Richard Tai, and Ufuk Topcu. 2019 Conference on Decisions and Control (CDC). IEEE, 2019. [paper] [slides]

• An Efficient Algorithm for a Visibility-based Surveillance-evasion Game. Ryo Takei, Yen-Hsi Richard Tsai, Zhengyuan Zhou, and Yanina Landa. Communications in Mathematical Sciences 12.7 (2014): 1303-1327. [paper]

• A Practical Path-planning Algorithm for a Simple Car: a Hamilton-Jacobi Approach. Ryo Takei, Yen-Hsi Richard Tsai, Haochong Shen, and Yanina Landa. Proceedings of the 2010 American control conference. IEEE, 2010. [paper]

Point Cloud Processing

• Nearest Neighbor Sampling of Point Sets using Rays. Liangchen Liu, Louis Ly, Colin Macdonald, and Yen-Hsi Richard Tsai. Communications on Applied Mathematics and Computation 2023, [paper][poster]

Manifold Structured Data and its Impact on Learning

• Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions. Liangchen Liu, Juncai He, and Richard Tsai. Topology, Algebra and Geometry in Machine Learning workshop, ICML2023 [paper][poster]

• Side-effects of Learning from Low Dimensional Data Embedded in an Euclidean Space. Juncai He, Richard Tsai and Rachel Ward. Research in Mathematical Science 10.13 (2023). [paper]]

Source Localization

• Autonomous Source Discovery and Navigation in Complicated Environments. Yanina Landa, Haochong Shen, Ryo Takei, Yen-Hsi Richard Tsai. Preprint 2009. [paper]

• Discovery of Point Sources in the Helmholtz Equation posed in Unknown Domains with Obstacles. Yanina Landa, Nicolay Tanushev, Yen-Hsi Richard Tsai. Communications in Mathematical Sciences 9.3 (2011): 903-928. [paper] [slides]

• Point Source Identification in Nonlinear Advection–Diffusion–Reaction Systems. Alexander Mamonov and Yen-Hsi Richard Tsai. Inverse Problems 29.3 (2013): 035009. [paper] [slides]

• Heat Source Identification based on Constrained Minimization. Yingying Li, Stanley Osher, and Yen-Hsi Richard Tsai. Inverse Problems and Imaging 8.1 (2014): 199-221. [paper]

Multiscale Coupling Algorithms

• Stabilization of parareal algorithms for long time computation of a class of highly oscillatory Hamiltonian flows using data. Preprint (2023) [paper]
• A Stable Parareal-like Method for the Second Order Wave Equation. Hieu Nguyen and Richard Tsai. Journal of Computational Physics (2020). Accepted. [paper]