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.

Learning sparse codes from compressed representations with biologically plausible local wiring constraints

This paper develops a theoretical neuroscience model for sparse coding in compressed neural representations that respects local wiring constraints in cortical communication.

Evolution from total variation to nonlinear sparsifying transform for sparse-view CT image reconstruction

This study compares image quality between total variation minimization and nonlinear sparsifying transform-based compressed sensing in sparse-view CT reconstruction.

Multiscale Adaptive Gabor Expansion (MAGE): Improved Detection of Transient Oscillatory Burst Amplitude and Phase

The paper introduces MAGE, a method for detecting transient oscillatory burst amplitude and phase with improved accuracy using adaptive Gabor expansions.

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.