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Research map / Probabilistic and scientific modeling / Variational and generative sampling

Backprop KF: Learning Discriminative Deterministic State Estimators

NeurIPS 2016 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 101 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
End-to-end training of the Kalman filter with CNN observation and learned observation covariance (BKF) vs. piecewise-trained KFKalman filter with CNN observation model · Synthetic trackingRMS test error: 0.1160 -> 0.0537Helped
Replacing the Kalman filter with a generic LSTM (vs BKF)recurrent state estimator · Synthetic trackingRMS test error: 0.0537 -> 0.1407 (64 units)Hurt
Incorporating a Kalman filter structure vs. feedforward-only estimationfeedforward CNN estimator · Synthetic trackingRMS test error: 0.2322 -> 0.0537Helped
End-to-end BKF vs piecewise KF on KITTI visual odometry, 10 training trajectoriesKalman filter with CNN observation model · KITTI Test 100, 10 trajectoriesTranslational error [m/m]: 0.2265 -> 0.2062Helped
End-to-end BKF vs piecewise KF on KITTI visual odometry, 3 training trajectoriesKalman filter with CNN observation model · KITTI Test 100, 3 trajectoriesTranslational error [m/m]: 0.3257 -> 0.3089Helped
BKF vs LSTM on KITTI visual odometry (small data)recurrent state estimator · KITTI Test 100, 3 trajectoriesTranslational error [m/m]: 0.5199 -> 0.3089 (vs LSTM 256 units)Helped
End-to-end BKF vs piecewise KF on KITTI rotational error, 10 trajectoriesKalman filter with CNN observation model · KITTI Test 100, 10 trajectoriesRotational error [deg/m]: 0.0978 -> 0.0801Helped
Learning observation covariance conditioned on image (BKF) vs fixed covariance (piecewise)Kalman filter with CNN observation model · Synthetic tracking (difficulty sweep)tracking errorNo clear effect

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