NeuroDynamics and Computational Mechanics
Despite the central importance of answering this question to analyzing the emergence of neural functionality, it's not clear that this question has been mathematically well posed to date. Given the current state of affairs, it's not clear it can be. What's missing in my opinion is a basic understanding of how nonlinear processes manuipulate information. This includes understanding not only how much information is produced and transmitted by neural systems, but also how much memory they use to maintain a given level of production and, perhaps of more interest, how that memory is structured to support (and preclude) particular classes of computation. Imagine you could measure any number of neurophysiological observables to any accuracy. Does it necessarily follow that you understand how the underlying network operates? More specifically, even without experimental limitations, how would you detect that some computation was being performed? Over the last decade or so a synthesis of methods
NeuroDynamics and Computational Mechanics James P. Crutchfield This page is woefully out of date. Use at your own risk. How does neural behavior support neural computation? Despite the central importance of answering this question to analyzing the emergence of neural functionality, it's not clear that this question has been mathematically well posed to date. Given the current state of affairs, it's not clear it can be. What's missing in my opinion is a basic understanding of how nonlinear processes manuipulate information. This includes understanding not only how much information is produced a
related reading
- Could a Neuroscientist Understand a Microprocessor? | PLOS Computational Biologyjournals.plos.org
- Notes towards Neurostimulation and Mathematical Neurosciencebernoullicollective.org
- Neuroscience is pre-paradigmatic. Consciousness is whytheintrinsicperspective.com
- Computational Mechanicsbactra.org
- Computational and systems neuroscience: The next 20 yearspmc.ncbi.nlm.nih.gov
- Dimensionality reduction in neural data analysisxcorr.net
- Simulation of networks of spiking neurons: A review of tools and strategiespmc.ncbi.nlm.nih.gov
- Statistical Mechanics of Deep Learningganguli-gang.stanford.edu
- Introduction — Neuromatch Academy: Computational Neurosciencecompneuro.neuromatch.io
- From circuits to behavior: a bridge too far? - PubMedpubmed.ncbi.nlm.nih.gov
- Researchbactra.org
- Exploring spiking neural networks: a comprehensive analysis of mathematical models and applicationsfrontiersin.org