Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, February 25, 2016, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Marcelo Matheus Gauy

Optimal Densities for Local Synapses in Associative Memories

Inspired by the brain, we consider a multi-associative memory model consisting of two layers of sparsely connected vertices. Second layer vertices are also sparsely connected by local edges. Pattern pairs (subsets of vertices) are stored by turning strong all the edges belonging to them. A pattern is recalled by activating it in the first layer, letting activity propagate across the network in a bootstrap percolation fashion. The multi-associative part means that every pattern in the second layer is associated with s patterns in the first layer. For values of s larger than 4, the optimal case happens in situations where the number of local connections is larger than the number of afferent ones (as is the case in many regions of the brain). This theoretical model gives insight to the importance of local connections and could explain the densities observed in the cortex. This is joint work with Florian Meier and Angelika Steger.

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