Sparse and Compressive Sensing Techniques

Method for cycle detection in sparse, irregularly sampled, long-term neuro-behavioral timeseries: Basis pursuit denoising with polynomial detrending of long-term, inter-ictal epileptiform activity

The paper develops a method to detect cycles in sparse, irregularly sampled neuro-behavioral timeseries using basis pursuit denoising with polynomial detrending, validated on epileptiform discharge data.

A Compressive Sensing Approach to Inferring Cognitive Representations with Reverse Correlation

This paper applies compressive sensing to reverse correlation to reduce the number of stimulus-response pairs needed for cognitive representation reconstruction without bias.

Optimal recovery of missing values for non-negative matrix factorization

This paper develops an algorithm for imputing missing values in non-negative matrix factorization, showing it performs as well as or better than existing methods.

Multiplicative Updates for Optimization Problems with Dynamics

The paper develops multiplicative update rules for optimizing convex objectives with nonnegativity constraints and applies them to signal processing tasks using neuronal calcium imaging and electrophysiology data.