Fetching the paper…
Reading the bibliography…
We consider the problem of learning a realization for a linear time-invariant (LTI) dynamical system from input/output data.
Effective construction of linear state-variable models from input/output functions
BL Ho and Rudolf E Kálmán · 1966
Earlier work this paper cites.
Perturbation theory for pseudo-inverses
Per-Åke Wedin · 1973
Earlier work this paper cites.
Matrix analysis
Roger A Horn, Roger A Horn, and Charles R Johnson · 1990
Earlier work this paper cites.
The data-based lqg control problem
Robert E Skelton and Guojun Shi · 1994
Earlier work this paper cites.
Discrete-time lqg dynamic controller design using plant markov parameters
Katsuhisa Furuta and Manop Wongsaisuwan · 1995
Earlier work this paper cites.
System identification
Lennart Ljung · 1998
Earlier work this paper cites.
Robust systems theory and applications
Ricardo S Sanchez-Pena and Mario Sznaier · 1998
Earlier work this paper cites.
Finite sample properties of linear model identification
Erik Weyer, Robert C Williamson, and Iven MY Mareels · 1999
Earlier work this paper cites.
A note on sin θ \theta theorems for singular subspace variations
Froilán M Dopico · 2000
Earlier work this paper cites.
The elements of statistical learning
Jerome Friedman, Trevor Hastie, and Robert Tibshirani · 2001
Earlier work this paper cites.
Handbook of linear algebra
Leslie Hogben · 2006
Earlier work this paper cites.
A comparison of least squares algorithms for estimating markov parameters
Matthew S Fledderjohn, Matthew S Holzel, Harish J Palanthandalam-Madapusi, Robert J Fuentes, and Dennis S Bernstein · 2010
Cited alongside, same era.
The optimal perturbation bounds of the moore–penrose inverse under the frobenius norm
Lingsheng Meng and Bing Zheng · 2010
Cited alongside, same era.
Learning networks of stochastic differential equations
José Pereira, Morteza Ibrahimi, and Andrea Montanari · 2010
Cited alongside, same era.
Adaptive control based on retrospective cost optimization
Mario A Santillo and Dennis S Bernstein · 2010
Cited alongside, same era.
Subspace identification for linear systems: Theory–Implementation–Applications
Peter Van Overschee and BL De Moor · 2012
Cited alongside, same era.
Hankel matrix rank minimization with applications to system identification and realization
Gradient descent learns linear dynamical systems
Moritz Hardt, Tengyu Ma, and Benjamin Recht · 2016
Later among the works it cites.
On the sample complexity of the linear quadratic regulator
Sarah Dean, Horia Mania, Nikolai Matni, Benjamin Recht, and Stephen Tu · 2017
Later among the works it cites.
Finite time analysis of optimal adaptive policies for linear-quadratic systems
Mohamad Kazem Shirani Faradonbeh, Ambuj Tewari, and George Michailidis · 2017
Later among the works it cites.
Learning linear dynamical systems via spectral filtering
Elad Hazan, Karan Singh, and Cyril Zhang · 2017
Later among the works it cites.
Non-asymptotic analysis of robust control from coarse-grained identification
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Maryam Fazel, Ting Kei Pong, Defeng Sun, and Paul Tseng · 2013
Cited alongside, same era.
Hanson-wright inequality and sub-gaussian concentration
Mark Rudelson, Roman Vershynin, et al · 2013
Cited alongside, same era.
Suprema of chaos processes and the restricted isometry property
Felix Krahmer, Shahar Mendelson, and Holger Rauhut · 2014
Cited alongside, same era.
A useful variant of the davis–kahan theorem for statisticians
Yi Yu, Tengyao Wang, and Richard J Samworth · 2014
Cited alongside, same era.
A note on the Hanson-Wright inequality for random vectors with dependencies
Radoslaw Adamczak et al · 2015
Cited alongside, same era.
Low-rank solutions of linear matrix equations via procrustes flow
Stephen Tu, Ross Boczar, Max Simchowitz, Mahdi Soltanolkotabi, and Benjamin Recht · 2015
Cited alongside, same era.
Stephen Tu, Ross Boczar, Andrew Packard, and Benjamin Recht · 2017
Later among the works it cites.
Towards provable control for unknown linear dynamical systems
Sanjeev Arora, Elad Hazan, Holden Lee, Karan Singh, Cyril Zhang, and Yi Zhang · 2018
Closest in time.
Finite-data performance guarantees for the output-feedback control of an unknown system
Ross Boczar, Nikolai Matni, and Benjamin Recht · 2018
Closest in time.
Data-driven sparse system identification
Salar Fattahi and Somayeh Sojoudi · 2018
Closest in time.
Global convergence of policy gradient methods for linearized control problems
Maryam Fazel, Rong Ge, Sham M Kakade, and Mehran Mesbahi · 2018
Closest in time.
Learning without mixing: Towards a sharp analysis of linear system identification
Max Simchowitz, Horia Mania, Stephen Tu, Michael I Jordan, and Benjamin Recht · 2018
Closest in time.