2026 |
Yeongjun Jang / Kaoru Teranishi / Junsoo Kim A Distributionally Robust Optimal Control Approach for Differentially Private Dynamical Systems Journal Article In: IEEE CONTROL SYSTEMS LETTERS, vol. 10, pp. 1567-1572, 2026, ISSN: 2475-1456. Abstract | Links | BibTeX | Tags: Homomorphic encryption, optimal control @article{nokey,We develop a distributionally robust optimal control approach for differentially private dynamical systems, enabling a plant to securely outsource control computation to an untrusted remote server. We consider a plant that ensures differential privacy of its state trajectory by injecting calibrated noise into its output measurements. Unlike prior works, we assume that the server only has access to an ambiguity set consisting of admissible noise distributions, rather than the exact distribution. To account for this uncertainty, the server formulates a distributionally robust optimal control problem to minimize the worst-case expected cost over all admissible noise distributions. However, the formulated problem is computationally intractable due to the nonconvexity of the ambiguity set. The proposed relaxation replaces the ambiguity set with a convex Kullback–Leibler divergence ball, so that the reformulated problem admits a tractable closed-form solution. |
2024 |
Jiyeon Nam / Soojeong Hyeon / Youngjun Joo / DongKi Noh / Hyungbo Shim Spectral Trade-off for Measurement Sparsification of Pose-graph SLAM Journal Article In: IEEE Robotics and Automation Letters, vol. 9, iss. 1, pp. 723 - 730, 2024, ISSN: 2377-3766. Abstract | Links | BibTeX | Tags: optimal control, simultaneous localization and mapping @article{nokey,In this paper, we propose a trade-off optimization algorithm to compute an appropriate number of edges for measurement (edge) sparsification in pose-graph SLAM. The greater the amount of measurement data, the larger is the computational burden. To reduce computational burden, one can remove a portion of measurements. However, reliable data, such as odometric measurements, can be lost if measurements are removed without any principle. To remove measurements which is redundant, we propose a trade-off optimization algorithm between maximization of the Fiedler value and minimization of the largest eigenvalue of adjacency matrix for measurement graph. This problem formulation gives virtues twofold. First, it is scalable. For any dataset, when a weight for trade-off is given, this algorithm determines the appropriate number of edges since this is a trade-off optimization problem. Second, the edges of the measurement graph can be distributed evenly. The algorithm considers the minimization of the largest eigenvalue of the adjacency matrix, so it suppresses the upper bound of the maximum degree of the measurement graph. It removes the redundant information concentrated on a few nodes, and improves the estimation accuracy of the sparsified graph. To validate the performance of the proposed trade-off optimization algorithm, we apply our approach to CSAIL, Intel, and Manhattan datasets. |
List of English Publication
2026 |
A Distributionally Robust Optimal Control Approach for Differentially Private Dynamical Systems Journal Article In: IEEE CONTROL SYSTEMS LETTERS, vol. 10, pp. 1567-1572, 2026, ISSN: 2475-1456. |
2024 |
Spectral Trade-off for Measurement Sparsification of Pose-graph SLAM Journal Article In: IEEE Robotics and Automation Letters, vol. 9, iss. 1, pp. 723 - 730, 2024, ISSN: 2377-3766. |