publication . Article . Other literature type . Preprint . 2013

Maximally Informative “Stimulus Energies” in the Analysis of Neural Responses to Natural Signals

Kanaka Rajan; William Bialek;
Open Access English
  • Published: 08 Nov 2013 Journal: PLoS ONE, volume 8, issue 11 (eissn: 1932-6203, Copyright policy)
  • Publisher: Public Library of Science
Abstract
The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if neural responses exhibit invariances, then the relevant subspace typically cannot be reached by a Euclidean projection of the original stimulus. We argue that, in several cases, we can make progress by appealing to the simplest nonlinear construction, identifying the relevant variables as quadratic forms, or "stimulus energies." Natural examples include non-phase-locked cells in the auditory system, complex cells in visual corte...
Subjects
arXiv: Quantitative Biology::Neurons and Cognition
free text keywords: Research Article, Medicine, R, Science, Q, Quantitative Biology - Neurons and Cognition, Condensed Matter - Disordered Systems and Neural Networks, Physics - Biological Physics, General Biochemistry, Genetics and Molecular Biology, General Agricultural and Biological Sciences, General Medicine, Bioinformatics, Mutual information, Maximally informative dimensions, Sensory system, Physics, Artificial intelligence, business.industry, business, Kernel (linear algebra), Stimulus (physiology), Neuronal tuning, Subspace topology, Dimensionality reduction, Pattern recognition
Related Organizations
Funded by
NSF| Emerging Frontiers of Science of Information
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0939370
  • Funding stream: Directorate for Computer & Information Science & Engineering | Division of Computing and Communication Foundations
,
NSF| The Theoretical Physics of Biological Systems
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0957573
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
46 references, page 1 of 4

1 Barlow HB (1972) Single units and sensation: a neuron doctrine for perception. Perception 1: 371–394.4377168 [PubMed]

2 Barlow HB (1995) The neuron in perception. The Cognitive Neurosciences, Gazzaniga MS editor MIT Press Cambridge pp. 415–4343.

3 Barlow HB (1953) Summation and inhibition in the frog's retina. J Physiol Lond 119: 69–88.13035718 [OpenAIRE] [PubMed]

4 Lettvin JY, Maturana HR, McCulloch WS, Pitts WH (1959) What the frog's eye tells the frog's brain. Proc IRE 47: 1940–1951. [OpenAIRE]

5 Gross CG (2002) Genealogy of the “grandmother cell.”. Neuroscientist 8: 512–518.12374433 [OpenAIRE] [PubMed]

6 Sharpee TO, Rust NC, Bialek W (2004) Analyzing neural responses to natural signals: maximally informative dimensions. Neural Comput 16: 223–50.15006095 [PubMed]

7 de Boer E, Kuyper P (1968) Triggered correlation. IEEE Trans Biomed Eng 15: 169–179.5667803 [OpenAIRE] [PubMed]

8 Javel E, McGee JA, Horst W, Farley GR (1988) Temporal mechanisms in auditory stimulus coding. Auditory Function: Neurological Bases of Hearing, Wiley, New York, Edelman GM, Gall WE, Cowan WM, editors pp. 515–558.

9 Hudspeth AJ, Corey DP (1977) Sensitivity, polarity, and conductance change in the response of vertebrate hair cells to controlled mechanical stimuli. Proc Nat Acad Sci U S A 74: 2407–2411. [OpenAIRE]

10 Palmer AR, Russell IJ (1986) Phase–locking in the cochlear nerve of the guinea pig and its relation to the receptor potential of inner hair cells. Hear Res 24: 1–15.3759671 [OpenAIRE] [PubMed]

11 Johnson DH (1980) The relationship between spike rate and synchrony in responses of auditory-nerve fibers to single tones. J Acoust Soc Am 68: 1115–1122.7419827 [PubMed]

12 Aguera y Arcas B, Fairhall AL (2003) What causes a neuron to spike? Neural Comput 15: 1789–807.14511513 [OpenAIRE] [PubMed]

13 Paninski L (2003) Convergence properties of three spike-triggered analysis techniques. Network 14: 437–464.12938766 [OpenAIRE] [PubMed]

14 Bussgang JJ (1952) Cross-correlation function of amplitude-distorted Gaussian signals. Res Lab Elec MIT Cambridge MA Tech Rep 216.

15 Wick GC (1950) The Evaluation of the Collision Matrix. Phys Rev 80: 268–272. [OpenAIRE]

46 references, page 1 of 4
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publication . Article . Other literature type . Preprint . 2013

Maximally Informative “Stimulus Energies” in the Analysis of Neural Responses to Natural Signals

Kanaka Rajan; William Bialek;