Computation with Assemblies
summary
Asserts an Assembly Hypothesis where synchronized, persistent neuron populations perform operations like projection, association and merge; projection creates an X in a downstream area that stays linked to parent Y. Implements via simulations and a simplified Gnp bipartite plus recurrent model with K winner‑take‑all neurons, recurrent plasticity only, and convergence in roughly a dozen iterations. Provides a closed‑form linearized solution explaining a “born rich or many supporters” tradeoff, a brain‑inspired algorithm for finding dense subgraphs, and applies assemblies to syntax with theta/4 Hz syllable timing and ~12 spikes per construction.
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chapters (27)
- 0:00Intro
- 2:21Good Question!
- 8:55The assembly hypothesis (computational version)
- 9:23Outline
- 11:54assignment operation
- 12:59Implementation?
- 13:20A computational challenge
- 14:03Projection: (al. et Axel, 2011) on mouse olfaction
- 17:56Implementation of projection: results
- 18:48Simplified Model
- 21:14Mathematical Model: Results
- 25:17Linearized model: Closed form
- 26:04chicken and egg...
- 27:48Second operation: association
- 28:54NB: The operational semantics of association
- 29:53Expressive power: binary relations
- 30:27Reciprocal projection and merge
- 31:14assembly operations recap
- 34:26Nelson... Dehaesne, PNAS 2017
- 35:42Frankland & Greene PNAS 2015
- 36:46The language hemisphere
- 37:25The [Ding et al. 2016] experiment
- 38:15The Ding et al. 2016 experiment
- 38:52One interpretation
- 39:56Zaccarella & Friedericci "Merge in the human Brain" Front. Psych. 2015
- 40:30ZF 2010 : Neural pathways for syntax?
- 41:31Finally, more speculation: a candidate architecture for syntax
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