8 citations · 30 across the 19 of their papers we have counts for
18 papers · 1 filter
On the Nonexistence of Continuous Immersions for Discrete-time Systems
Eron Ristich, Eduardo Sontag, Necmiye Ozay
Understanding when linear immersions of nonlinear dynamical systems exist is important since such immersions allow us to leverage the rich tools of linear system theory to analyze…
On the Generalization Properties of Selective State-Space Models for Filtering Tasks for Unknown Systems
Alex Tang, M. Emrullah Ildiz, Batin Kurt +2
Selective State-Space Models (SSMs) such as Mamba have emerged as an alternative architecture to self-attention based transformers in sequence modeling tasks. Recent works have dem…
System Identification Under Bounded Noise: Optimal Rates Beyond Least Squares
Xiong Zeng, Jing Yu, Necmiye Ozay
System identification is a fundamental problem in control and learning, particularly in high-stakes applications where data efficiency is critical. Classical approaches, such as th…
A Simulation Preorder for Koopman-like Lifted Control Systems
Antoine Aspeel, Necmiye Ozay
This paper introduces a simulation preorder among lifted systems, a generalization of finite-dimensional Koopman approximations (also known as approximate immersions) to systems wi…
Properties of Immersions for Systems with Multiple Limit Sets with Implications to Learning Koopman Embeddings
Zexiang Liu, Necmiye Ozay, Eduardo D. Sontag
Linear immersions (such as Koopman eigenfunctions) of a nonlinear system have wide applications in prediction and control. In this work, we study the properties of linear immersion…
On the Hardness of Learning to Stabilize Linear Systems
Xiong Zeng, Zexiang Liu, Zhe Du +2
Inspired by the work of Tsiamis et al. \cite{tsiamis2022learning}, in this paper we study the statistical hardness of learning to stabilize linear time-invariant systems. Hardness…