activity
20132023
most citedMaximum Entropy Kernels for System Identification

48 citations · 117 across the 22 of their papers we have counts for

collaborators

24 papers

cs.LG2023★ 5 cited

Deep networks for system identification: a Survey

Gianluigi Pillonetto, Aleksandr Aravkin, Daniel Gedon +3

Deep learning is a topic of considerable current interest. The availability of massive data collections and powerful software resources has led to an impressive amount of results i…

eess.SY2022

Asymptotic Theory for Regularized System Identification Part I: Empirical Bayes Hyper-parameter Estimator

Yue Ju, Biqiang Mu, Lennart Ljung +1

Regularized system identification is the major advance in system identification in the last decade. Although many promising results have been achieved, it is far from complete and…

math.ST2021★ 2 cited

Tutorial on Asymptotic Properties of Regularized Least Squares Estimator for Finite Impulse Response Model

Yue Ju, Tianshi Chen, Biqiang Mu +1

In this paper, we give a tutorial on asymptotic properties of the Least Square (LS) and Regularized Least Squares (RLS) estimators for the finite impulse response model with filter…

math.ST2021★ 5 cited

On the Asymptotic Optimality of Cross-Validation based Hyper-parameter Estimators for Regularized Least Squares Regression Problems

Biqiang Mu, Tianshi Chen, Lennart Ljung

The asymptotic optimality (a.o.) of various hyper-parameter estimators with different optimality criteria has been studied in the literature for regularized least squares regressio…

cs.LG2021★ 3 cited

A Crash Course on Reinforcement Learning

Farnaz Adib Yaghmaie, Lennart Ljung

The emerging field of Reinforcement Learning (RL) has led to impressive results in varied domains like strategy games, robotics, etc. This handout aims to give a simple introductio…

math.ST2020

Supplementary Material for CDC Submission No. 1461

Yue Ju, Tianshi Chen, Biqiang Mu +1

In this paper, we focus on the influences of the condition number of the regression matrix upon the comparison between two hyper-parameter estimation methods: the empirical Bayes (…

eess.SY2020★ 19 cited

Improving Linear State-Space Models with Additional Iterations

Suat Gumussoy, Ahmet Arda Ozdemir, Tomas McKelvey +3

An estimated state-space model can possibly be improved by further iterations with estimation data. This contribution specifically studies if models obtained by subspace estimation…

eess.SY2020

Deep State Space Models for Nonlinear System Identification

Daniel Gedon, Niklas Wahlström, Thomas B. Schön +1

Deep state space models (SSMs) are an actively researched model class for temporal models developed in the deep learning community which have a close connection to classic SSMs. Th…

eess.SY2019

Nonlinear System Identification: A User-Oriented Roadmap

Johan Schoukens, Lennart Ljung

The goal of this article is twofold. Firstly, nonlinear system identification is introduced to a wide audience, guiding practicing engineers and newcomers in the field to a sound s…

eess.SY2018★ 1 cited

A state-space approach to sparse dynamic network reconstruction

Zuogong Yue, Johan Thunberg, Lennart Ljung +1

Dynamic network reconstruction has been shown to be challenging due to the requirements on sparse network structures and network identifiability. The direct parametric method (e.g.…

math.OC2018

Algorithms and Performance Analysis for Stochastic Wiener System Identification

Bo Wahlberg, Lennart Ljung

We analyze the statistical performance of identification of stochastic dynamical systems with non-linear measurement sensors. This includes stochastic Wiener systems, with linear d…

eess.SY2017★ 3 cited

On Asymptotic Properties of Hyperparameter Estimators for Kernel-based Regularization Methods

Biqiang Mu, Tianshi Chen, Lennart Ljung

The kernel-based regularization method has two core issues: kernel design and hyperparameter estimation. In this paper, we focus on the second issue and study the properties of sev…

eess.SY2016★ 2 cited

Dynamic Network Reconstruction from Heterogeneous Datasets

Zuogong Yue, Johan Thunberg, Wei Pan +2

Performing multiple experiments is common when learning internal mechanisms of complex systems. These experiments can include perturbations to parameters or external disturbances.…

eess.SY2016★ 2 cited

Gray Box Identification of State-Space Models Using Difference of Convex Programming

Chengpu Yu, Lennart Ljung, Michel Verhaegen

Gray-box identification is prevalent in modeling physical and networked systems. However, due to the non-convex nature of the gray-box identification problem, good initial paramete…

math.OC2016★ 7 cited

Generalized Kalman Smoothing: Modeling and Algorithms

A. Y. Aravkin, J. V. Burke, L. Ljung +2

State-space smoothing has found many applications in science and engineering. Under linear and Gaussian assumptions, smoothed estimates can be obtained using efficient recursions,…

eess.SY2016

Identification of Sparse Continuous-Time Linear Systems with Low Sampling Rate: Optimization Approaches

Zuogong Yue, Johan Thunberg, Lennart Ljung +1

This paper addresses identification of sparse linear and noise-driven continuous-time state-space systems, i.e., the right-hand sides in the dynamical equations depend only on a su…

eess.SY2016★ 3 cited

Systems Aliasing in Dynamic Network Reconstruction: Issues on Low Sampling Frequencies

Zuogon Yue, Johan Thunberg, Lennart Ljung +2

Network reconstruction of dynamical continuous-time (CT) systems is motivated by applications in many fields. Due to experimental limitations, especially in biology, data could be…

eess.SY2015★ 2 cited

Identifying Biochemical Reaction Networks From Heterogeneous Datasets

Wei Pan, Ye Yuan, Lennart Ljung +2

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain…

math.OC2015★ 4 cited

Identification of Stochastic Wiener Systems using Indirect Inference

Bo Wahlberg, James Welsh, Lennart Ljung

We study identification of stochastic Wiener dynamic systems using so-called indirect inference. The main idea is to first fit an auxiliary model to the observed data and then in a…

eess.SY2015★ 2 cited

Regularized linear system identification using atomic, nuclear and kernel-based norms: the role of the stability constraint

Gianluigi Pillonetto, Tianshi Chen, Alessandro Chiuso +2

Inspired by ideas taken from the machine learning literature, new regularization techniques have been recently introduced in linear system identification. In particular, all the ad…

eess.SY2015★ 2 cited

Maximum entropy properties of discrete-time first-order stable spline kernel

Tianshi Chen, Tohid Ardeshiri, Francesca P. Carli +3

The first order stable spline (SS-1) kernel is used extensively in regularized system identification. In particular, the stable spline estimator models the impulse response as a ze…

eess.SY2015★ 3 cited

Regularized system identification using orthonormal basis functions

Tianshi Chen, Lennart Ljung

Most of existing results on regularized system identification focus on regularized impulse response estimation. Since the impulse response model is a special case of orthonormal ba…

math.OC2014★ 48 cited

Maximum Entropy Kernels for System Identification

Francesca Paola Carli, Tianshi Chen, Lennart Ljung

A new nonparametric approach for system identification has been recently proposed where the impulse response is modeled as the realization of a zero-mean Gaussian process whose cov…

cs.LG2013★ 4 cited

Scalable Anomaly Detection in Large Homogenous Populations

Henrik Ohlsson, Tianshi Chen, Sina Khoshfetrat Pakazad +2

Anomaly detection in large populations is a challenging but highly relevant problem. The problem is essentially a multi-hypothesis problem, with a hypothesis for every division of…