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Learning the Morphology of Brain Signals Using Alpha-Stable Convolutional Sparse Coding

NeurIPS 2017 · Time series › Causal and generative time series · approach: Dynamical system reconstruction · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use heavy-tailed α-stable likelihood instead of Gaussian likelihoodαCSC · Synthetic signals with corrupted trialsatom recovery robustnessHelped
Use Gaussian CSC (α=2) instead of heavy-tailed αCSC (ablation)CSC · Synthetic signals with corrupted trialsatom recovery robustnessHurt
Use MoTIF with activations of varying amplitudesMoTIF · Artifact-free synthetic signalsatom recoveryHurt
Use the proposed quasi-Newton M-step instead of ADMM-based CSC solversCSC M-step · Synthetic M-step performance benchmarkconvergence speedHelped
Use L-BFGS-B for the activation update instead of ISTA or FISTA (ablation)CSC M-step · Synthetic activation-subproblem benchmarkconvergence speedHelped
Manually remove artifact-corrupted trials before fitting standard CSC (ablation)CSC · Rodent striatal LFPrecovery of canonical atomsHelped
Fit standard CSC to the full data without removing artifacts (ablation)CSC · Rodent striatal LFPrecovery of canonical atomsHurt
Use αCSC with α=1.2 on full data rather than standard CSCCSC · Rodent striatal LFPrecovery of cross-frequency couplingHelped
Use α=2, making the likelihood Gaussian (ablation)αCSC · Synthetic M-step benchmarkM-step convergence speedNo clear effect
Use α=2 standard CSC with the proposed optimizer on artifact-free epileptiform LFP (ablation)αCSC optimization scheme · Rat cortex LFPrecovery of spike-like atomsHelped

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