Emergence of winner-takes-all connectivity paths in random nanowire networks

The winner takes it all.

W e all make mistakes from time to time. I have made my fair share, but none of my mistakes have ever won a prize. In 2002 Lundbeck breached the UK industry code of practice in the way it advertised escitalopram (Cipralex). Escitalopram is the son of citalopram (Cipramil). The company claimed that its new drug, escitalopram was more effective than citalopram, even though the two drugs have exac...

The winner takes it all

We study competing first passage percolation on graphs generated by the configuration model. At time 0, vertex 1 and vertex 2 are infected with the type 1 and the type 2 infection, respectively, and an uninfected vertex then becomes type 1 (2) infected at rate λ1 (λ2) times the number of edges connecting it to a type 1 (2) infected neighbor. Our main result is that, if the degree distribution i...

Fast Winner-Takes-All Networks for the Maximum Clique Problem

Competitive Winner-Takes-All Clustering in the Domain of Graphs

We present a theoretical foundation for competitive learning in the domain of graphs within a connectionist framework. In the first part of this contribution we embed graphs in an Euclidean space to facilitate competitive learning in the domain of graphs. We adopt constitutive concepts of competitive learning like the scalar products, metrics, and the weighted mean for graphs. The first part is...

Winner takes all in a race for cell fate

The choice between alternative cell fates is fundamental to biology. The Gram-positive soil bacterium Bacillus subtilis can become competent for genetic transformation by external DNA or can form resistant spores. Although decades of work has elucidated much about the complex regulatory pathways that lead to these mutually exclusive fates (Dubnau and Losick, 2006), the decision mechanism that d...