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Research map / Learning theory and algorithms / Sample complexity

Exponential Reduction in Sample Complexity with Learning of Ising Model Dynamics

ICML 2021 · Learning theory and algorithms › Sample complexity · approach: Sample complexity of learning distributions · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use one-step Glauber samples from the M-regime rather than a quickly mixing trajectory in the T-regimeD-RISE and D-RPLE · Ising models; studied lattice and random regular graph topologiessample-complexity β scaling: 80% and 90%Helped
Use entropy-based active selection of initial configurationsD-RISE · Ferromagnetic periodic lattice with weak antiferromagnetic impuritynumber of samples required for successful graph reconstruction: 47%Helped
Use entropy-based active selection of initial configurationsD-RISE · Ferromagnetic periodic lattice with weak antiferromagnetic impuritysample-complexity scaling with βNo clear effect
Learn from T-regime dynamics rather than i.i.d. samplesD-RISE · Spin glass on a periodic latticesample-complexity β scaling: 35%Helped
Learn from T-regime dynamics rather than i.i.d. samplesD-RISE · Spin glass on a random regular graphsample-complexity β scaling: 27%Helped
Learn from T-regime dynamics rather than i.i.d. samplesD-RISE and D-RPLE · Ferromagnetic models on lattices and random regular graphssample-complexity β scalingNo clear effect
Use M-regime dynamics on random regular graphsD-RISE and D-RPLE · Random regular graphssample-complexity dependence on β: a constant number of samples independent of βHelped

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