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Reanalysis of Variance Reduced Temporal Difference Learning

ICLR 2020 · Optimization › Nonconvex and smooth optimization · approach: Variance-reduced policy gradient · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use VRTD batch pseudo-gradients with batch size M instead of vanilla TD updatesTD · i.i.d. samplingvariance error: \mathcal{O}(\alpha) -> \mathcal{O}(\alpha/M)Helped
Use VRTD batch pseudo-gradients with batch size M instead of vanilla TD updatesTD · Markovian samplingvariance error: \mathcal{O}(\alpha) -> \mathcal{O}(\alpha/M)Helped
Use VRTD batch pseudo-gradients with batch size M instead of vanilla TD updatesTD · Markovian samplingbias error: \mathcal{O}(\alpha) -> \mathcal{O}(1/M)Helped
Use VRTD instead of vanilla TDTD · i.i.d. sampling, sufficiently small condition numberoverall complexity: \mathcal{O}\left( \frac{1}{\epsilon\lambda^2_A}\log\big(\frac{1}{\epsilon}\big) \right) -> \mathcal{O}\left( \max\Big\{\Helped
Use VRTD instead of vanilla TDTD · Markovian samplingoverall complexity: \mathcal{O}\left( \frac{1}{\epsilon\lambda^2_A}\log^2\big(\frac{1}{\epsilon}\big) \right) -> \mathcal{O}\left( \max\Big\Helped
Increase batch size MVRTD · i.i.d. and Markovian samplingsquared errorHelped
Use independent fresh inner-loop samples rather than selecting updates from the epoch batchVRTD with i.i.d. sampling · i.i.d. samplingbias errorHelped
Increase batch size MVRTD · i.i.d. and Markovian samplingconvergence speedNo clear effect
Use Markovian samples rather than i.i.d. samplesVRTD · all tested batch sizessquared errorHurt
Use VRTD with batch size 5000 and constant stepsize rather than TD with a reduced stepsizeTD on Frozen Lake · Frozen Lakesquared error versus pseudo-gradient computationsHelped
Use VRTD with batch size 1000 rather than vanilla TDTD on Mountain Car · Mountain CarNEUHelped

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