Fuzzy Frequent Pattern Mining in Spike Trains

• Published in: Advances in Intelligent Data Analysis XI pp. 289 - 300
• Main Authors: Picado Muiño, David, Castro León, Iván, Borgelt, Christian
• Format: Book Chapter
• Language: English
• Published: Berlin, Heidelberg Springer Berlin Heidelberg 2012
• Series: Lecture Notes in Computer Science
• ISBN: 9783642341557; 3642341551
• ISSN: 0302-9743; 1611-3349
• DOI: 10.1007/978-3-642-34156-4_27

We present a framework for characterizing spike (and spike-train) synchrony in parallel neuronal spike trains that is based on identifying spikes with what we call influence maps: real-valued functions describing an influence region around the corresponding spike times within which possibly graded synchrony with other spikes is defined. We formalize two models of synchrony in this framework: the bin-based model (the almost exclusively applied model in the literature) and a novel, alternative model based on a continuous, graded notion of synchrony, aimed at overcoming the drawbacks of the bin-based model. We study the task of identifying frequent (and synchronous) neuronal patterns from parallel spike trains in our framework, formalized as an instance of what we call the fuzzy frequent pattern mining problem (a generalization of standard frequent pattern mining) and briefly evaluate our synchrony models on this task.