Kolia Sadeghi : March 8

At COSYNE, Cadieu and Koepsell had an interesting poster on joint models of amplitude and phase couplings between LFPs of different areas.  There is a paper out on experimental findings [pdf] [supplement], and older papers on estimating models of joint phase couplings [pdf], both of which are interesting.  The model including amplitudes is poster only for now, so I'll go over those papers quickly first.

Fritz Sommer's Adaptive compressive Sensing is good to have seen at least once, so I'll go over it quickly as well if time allows.

Adaptive Compressive Sensing

Fritz Sommer gave a COSYNE 2011 workshop presentation of seemingly magical results coauthored by Guy Isely and Christopher Hillar.

Suppose an area of the brain deals in a signal which is sparse in some underlying unknown dictionary.  This area subsamples the signal with say a random measurement matrix, and sends the subsampled signal to another area.  The receiving area doesn't know what the original signals were, or what the underlying sparsifying dictionary was, or what the measurement matrix were; all it knows are the subsampled measurements it has received.  If the receiving area learns a dictionary in which the subsampled signals it received are sparse, can this sparse representation also be used to linearly represent the original signal?  The answer is yes.

To restore normality and disprove magic, read their NIPS paper.  Apparently a longer paper with proofs is due to come out soon.