9 papers
On the Sharp Input-Output Analysis of Nonlinear Systems under Adversarial Attacks
Jihun Kim, Yuchen Fang, Javad Lavaei
This paper is concerned with learning the input-output mapping of general nonlinear dynamical systems. While the existing literature focuses on Gaussian inputs and benign disturban…
Structural Correspondence and Universal Approximation in Diagonal plus Low-Rank Neural Networks
Ying Chen, Aoxi Li, Jihun Kim +1
The massive computational costs of scaling modern deep learning architectures have driven the widespread use of parameter-efficient low-rank structures, such as LoRA and low-rank f…
Huber-based Robust System Identification with Near-Optimal Guarantees Across Independent and Adversarial Regimes
Jihun Kim, Javad Lavaei
Dynamical systems can confront one of two extreme types of disturbances: persistent zero-mean independent noise, and sparse nonzero-mean adversarial attacks, depending on the speci…
System Identification under Noise and Attack Regimes: Agnostic and Composite Robustness
Jihun Kim, Javad Lavaei
Dynamical systems often confront persistent zero-mean independent noise and/or sparse nonzero-mean adversarial attacks. While mean-based estimators like least-squares handle the fo…
Revisiting the Geometrically Decaying Step Size: Linear Convergence for Smooth or Non-Smooth Functions
Jihun Kim
We revisit the geometrically decaying step size given a positive inverse condition number, under which a locally Lipschitz function shows linear convergence. The positivity does no…
Bridging Batch and Streaming Estimations to System Identification under Adversarial Attacks
Jihun Kim, Javad Lavaei
System identification in modern engineering systems faces emerging challenges from unanticipated adversarial attacks beyond existing detection mechanisms. In this work, we obtain a…