Fitting a Kalman Smoother to Data

J. Douglas and H. Rachford, “On the numerical solution of heat conduction problems in two and three space variables,” Transactions of the American Mathematical Society , vol. 82, no. 2, pp. 421–439, 1956

1956

Earlier work this paper cites.

P. Swerling, A proposed stagewise differential correction procedure for satellite tracking and prediction . Rand Corporation, 1958

1958

Earlier work this paper cites.

R. Kalman, “A new approach to linear filtering and prediction problems,” Journal Basic Engineering , vol. 82, no. 1, pp. 35–45, 1960

1960

Earlier work this paper cites.

B. Martinet, “Brève communication: Régularisation d’inéquations variationnelles par approximations successives,” Mathematical Modelling and Numerical Analysis , vol. 4, no. R3, pp. 154–158, 1970

1970

Earlier work this paper cites.

A. Gelb, Applied optimal estimation . MIT press, 1974

1974

Earlier work this paper cites.

P. Lions and B. Mercier, “Splitting algorithms for the sum of two nonlinear operators,” Numerical Analysis , vol. 16, no. 6, pp. 964–979, 1979

1979

Earlier work this paper cites.

R. H. Shumway and D. S. Stoffer, “An approach to time series smoothing and forecasting using the EM algorithm,” Journal Time Series Analysis , vol. 3, no. 4, pp. 253–264, 1982

1982

Earlier work this paper cites.

L. McGee and S. Schmidt, “Discovery of the Kalman filter as a practical tool for aerospace and industry,” 1985

1985

Earlier work this paper cites.

N. Shor, Minimization methods for non-differentiable functions . Springer Science & Business Media, 1985, vol. 3

1985

Earlier work this paper cites.

Y. Oshman and I. Shaviv, “Optimal tuning of a Kalman filter using genetic algorithms,” in AIAA GNC Conference , 2000, p. 4558

2000

Cited alongside, same era.

T. D. Powell, “Automated tuning of an extended Kalman filter using the downhill simplex algorithm,” Journal Guidance, Control, and Dynamics , vol. 25, no. 5, pp. 901–908, 2002

2002

Cited alongside, same era.

S. Boyd and L. Vandenberghe, Convex optimization . Cambridge University Press, 2004

2004

Cited alongside, same era.

T. A. Davis, “Algorithm 832: Umfpack v4. 3—an unsymmetric-pattern multifrontal method,” ACM Transactions on Mathematical Software (TOMS) , vol. 30, no. 2, pp. 196–199, 2004

2004

Cited alongside, same era.

P. Abbeel, A. Coates, M. Montemerlo, A. Ng, and S. Thrun, “Discriminative training of Kalman filters.” in RSS , vol. 2, 2005, p. 1

2005

Cited alongside, same era.

Y. Nesterov, Introductory lectures on convex optimization: A basic course . Springer Science & Business Media, 2013, vol. 87

2013

Later among the works it cites.

Y. Nesterov, “Gradient methods for minimizing composite functions,” Mathematical Programming , vol. 140, no. 1, pp. 125–161, 2013

2013

Later among the works it cites.

N. Parikh and S. Boyd, “Proximal algorithms,” Foundations and Trends® in Optimization , vol. 1, no. 3, pp. 127–239, 2014

2014

Later among the works it cites.

P. Broder, “Sensor Play - data recorder, iOS App,” 2014

2014

Later among the works it cites.

Z. Chen, C. Heckman, S. Julier, and N. Ahmed, “Weak in the NEES?: Auto-tuning Kalman filters with Bayesian optimization,” in Intl. Conf. Information Fusion . IEEE, 2018, pp. 1072–1079

2018

Later among the works it cites.