Mismatched Connections

Geometry of Mismatched Decoders

”THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD”. Reliable transmission over a discrete-time memoryless channel with a decoding metric that is not necessarily matched to the channel or not optimal (mismatched decoding) is considered. We address the question of comparing the performance of different mismatched metrics. A geometrical interpretation of this problem is presented, in particular,...

Mismatched decoding in the brain.

"How is information decoded in the brain?" is one of the most difficult and important questions in neuroscience. We have developed a general framework for investigating to what extent the decoding process in the brain can be simplified. First, we hierarchically constructed simplified probabilistic models of neural responses that ignore more than Kth-order correlations using the maximum entropy ...

Regular Connections among Generalized Connections

The properties of the space A of regular connections as a subset of the space A of generalized connections in the Ashtekar framework are studied. For every choice of compact structure group and smoothness category for the paths it is determined whether A is dense in A or not. Moreover, it is proven that A has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoot...

Shen's Processes on Finslerian Connections

Formation control with mismatched compasses

This article addresses the formation control problem with mismatched compasses. Depending on the sensing and communication technology, compass mismatches may arise due to biases in measurement, drift in inertial sensing despite initial alignment, and even spatial variations in the earth’s magnetic field. To illustrate the key concepts underlying what happens, we first consider the two agent cas...