Jan 16: The Visual System

Size: px
Start display at page:

Download "Jan 16: The Visual System"

Transcription

1 Geometry of Neuroscience Matilde Marcolli & Doris Tsao Jan 16: The Visual System

2 References for this lecture 1977 Hubel, D. H., Wiesel, T. N., Ferrier lecture 2010 Freiwald, W., Tsao, DY. Functional compartmentalization and viewpoint generalization in the macaque face patch system 2013 Nature Mante, Susillo, Shenoy, Newsome, Context-dependent computation by recurrent dynamics in prefrontal cortex.

3 Santiago Ramon y Cajal (1 May October 1934) Neuron doctrine: The brain is made up of discrete individual cells. Vision is explicable in terms of the firing patterns that emerge from the interactions among many individual neurons. Characterizing functional transformations along anatomically-connected pathways Characterizing population dynamics among large groups of neurons

4 Retina

5

6 Visual processing in the retina Stephen Kuffler David Hubel, Eye, Brain, Vision

7 LGN

8

9

10

11 6 K 5 K 4 3 K 2 K K 1 K 1-2: Magno fast and transient, large RF 2-6: Parvo slow and sustained, small RF K: innervate extrastriate cortex

12 V1 Primary Visual cortex Striate cortex Area 17

13 Hubel & Wiesel, 1959 (HMS)

14

15

16

17

18

19

20

21 Hubel & Wiesel, 1962

22

23

24 Functional Architecture

25 Monkey Human

26 Critical Period

27

28

29 Sparse noise stimulus RF of V1 simple cell Livingstone and Conway, 2003

30 Ohki et al. Nature 2006

31 Features computed by V1 Orientation Color Motion Binocular Disparity

32 What happens to visual information after V1?

33

34

35 What happens to visual information after V2?

36

37

38 Criteria for Cortical Area Topographic map Unique connections Unique cytoarchitecture Unique function

39 Lewis and Van Essen 2000

40

41 Felleman and Van Essen 1991

42

43 Border ownership cell V1 Simple cell (Hubel & Wiesel) V2 Border-ownership cell (von der Heydt)

44

45 What & Where Pathways Vision is knowing what is where by looking David Marr

46 The Ungerleider & Mishkin (1982) Experiment Task 1: Object discrimination study an object select the familiar object (reward) Task 2: Landmark discrimination select foodwell closest to the TOWER temporal lesions impair OBJECT TASK parietal lesions impair LANDMARK TASK

47 The macaque face patch system

48 Pathway for object representation Charles Gross V1 Inferotemporal Cortex (IT) V4 V3 V2 Object identification Image segmentation Discouraged by my inability to understand the frontal lobe I decided to turn my attention to the cortex on the inferior convexity of the temporal lobe Charles Gross, History of Neuroscience autobiography

49 Fusiform face area? Kanwisher, McDermott, & Chun, J. Neurosci, 1997

50 Face-selective regions exist in monkeys

51

52 Localization of face patches occipital frontal PL ML MF posterior AL AF middle anterior AM temporal Faces vs. objects Tsao et al., Nature Neuroscience 2002

53 FMRI response time course from middle face patch ML

54 What is the selectivity of single neurons in each patch?

55 What is the selectivity of single neurons in each patch?

56 What is the selectivity of single neurons in each patch?

57 Single cell from middle face patch

58 Tsao et al., Science, 2006

59 Cell number Face cells are clustered in face patches PL ML MF AL AF AM Tsao et al., Science 2006 Freiwald and Tsao, Science 2010

60 Face patches are strongly and specifically connected to each other PL ML MF AL AF AM Moeller et al. Science 2008 Grimaldi et al., Neuron, in press

61 Probing connectivity of face patches: Microstimulation combined with fmri Moeller et al., Science, 2008 Sebastian Möller

62 Stimulation site on the flatmap posterior ventral x Stimulation site

63 Microstimulation >> Blank posterior ventral x Stimulation site

64 ML projection map overlaps with other face patches posterior ventral x Stimulation site

65 Connections of ML

66 P value Connections within IT cortex largely confined to other face patches posterior ventral PL ML AL x MF AF 10-3 AM Grimaldi et al., Neuron 2016 Injection site in AL, retrograde tracer (Fast Blue) 66

67 Connections within IT cortex largely confined to other face patches posterior ventral PL ML AL x AM MF AF Cells / mm 3 Grimaldi et al., Neuron 2016 Injection site in AL, retrograde tracer (Fast Blue) 67

68 P value Connections within IT cortex largely confined to other face patches posterior ventral PL ML AL x AM MF AF Cells / mm Grimaldi et al., Neuron 2016 Injection site in AL, retrograde tracer (Fast Blue) 68

69 Face patch system

70 Experimental obstacles Huge cortical territory Huge parameter space

71 Experimental obstacles Face patches Faces

72 What are functional properties of cells in each patch?

73 Norm. resp. Cells are selective for the presence and shape of subsets of face features Cell 1 Cell NO HAIR HAIR Freiwald et al., NN 2009

74 Norm. resp. Cells are selective for the presence and appearance of subsets of face features Cell 1 Cell NO IRISES IRISES NO IRISES IRISES Freiwald et al., NN 2009

75 Increasing view invariance from ML/MF to AL to AM ML/MF AM AL

76 Anterior medial face patch (AM) neurons represents face-view invariant identity 0.1s Freiwald and Tsao, 2010

77 Middle face patch (MF/ML) neurons were tuned to head orientation 0.1s Freiwald and Tsao, 2010

78 Middle face patch (MF/ML) neurons were tuned to head orientation 0.1s Freiwald and Tsao, 2010

79 Santiago Ramon y Cajal (1 May October 1934) Neuron doctrine: The brain is made up of discrete individual cells. Vision is explicable in terms of the firing patterns that emerge from the interactions among many individual neurons. Characterizing functional transformations along anatomically-connected pathways Characterizing population dynamics among large groups of neurons

80 Understanding the mechanism for flexible behavior Mante and Newsome 2013

81 Step 1: Compute top 12 PCs of population data D = matrix of eigenvectors Step 2: Demixing (goal: plot neural state in meaningful coordinates) Step 3: Denoise the regression vectors (project onto 12 PCs)

82 Regression coefficients for individual neurons

83 Step 4: Orthogonalize regression vectors (Gramm Schmidt) b 2 Q 2 b 1 Q 1

84

85 So far, not THAT surprising (a fancy way of showing that (1) the monkey can do the task and the choice signal is also represented in PFC, and (2) both color and motion information are represented regardless of context,) What is the underlying mechanism?

86 Recurrent Neural Network x represents activation of neuron, r represents firing rate, J represents recurrent connections, u represents input, c represents offsets, rho represents noise J, b, c are modified through training

87 . Search for fixed points (where x = 0)

88 Red crosses: fixed points (same in both contexts)

89

90 Context-depending integration is explained by different neural dynamics in the two situations!

91 We conclude that the observed complexity and functional roles of single neurons are readily understood in the framework of a dynamical process unfolding at the level of a population.

The functional organization of the visual cortex in primates

The functional organization of the visual cortex in primates The functional organization of the visual cortex in primates Dominated by LGN M-cell input Drosal stream for motion perception & spatial localization V5 LIP/7a V2 V4 IT Ventral stream for object recognition

More information

9.01 Introduction to Neuroscience Fall 2007

9.01 Introduction to Neuroscience Fall 2007 MIT OpenCourseWare http://ocw.mit.edu 9.01 Introduction to Neuroscience Fall 2007 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. Complex cell receptive

More information

Nonlinear reverse-correlation with synthesized naturalistic noise

Nonlinear reverse-correlation with synthesized naturalistic noise Cognitive Science Online, Vol1, pp1 7, 2003 http://cogsci-onlineucsdedu Nonlinear reverse-correlation with synthesized naturalistic noise Hsin-Hao Yu Department of Cognitive Science University of California

More information

Finding a Basis for the Neural State

Finding a Basis for the Neural State Finding a Basis for the Neural State Chris Cueva ccueva@stanford.edu I. INTRODUCTION How is information represented in the brain? For example, consider arm movement. Neurons in dorsal premotor cortex (PMd)

More information

Natural Image Statistics

Natural Image Statistics Natural Image Statistics A probabilistic approach to modelling early visual processing in the cortex Dept of Computer Science Early visual processing LGN V1 retina From the eye to the primary visual cortex

More information

Visual Motion Analysis by a Neural Network

Visual Motion Analysis by a Neural Network Visual Motion Analysis by a Neural Network Kansai University Takatsuki, Osaka 569 1095, Japan E-mail: fukushima@m.ieice.org (Submitted on December 12, 2006) Abstract In the visual systems of mammals, visual

More information

Perception of colour, form, depth and movement; organization of associative visual fields. Seminar Prof Maja Valić

Perception of colour, form, depth and movement; organization of associative visual fields. Seminar Prof Maja Valić Perception of colour, form, depth and movement; organization of associative visual fields Seminar Prof Maja Valić Perception of colour, form, depth and movement binding problem in the visual system: how

More information

Charles Cadieu, Minjoon Kouh, Anitha Pasupathy, Charles E. Connor, Maximilian Riesenhuber and Tomaso Poggio

Charles Cadieu, Minjoon Kouh, Anitha Pasupathy, Charles E. Connor, Maximilian Riesenhuber and Tomaso Poggio Charles Cadieu, Minjoon Kouh, Anitha Pasupathy, Charles E. Connor, Maximilian Riesenhuber and Tomaso Poggio J Neurophysiol 98:733-75, 27. First published Jun 27, 27; doi:.52/jn.265.26 You might find this

More information

Higher Processing of Visual Information: Lecture II --- April 4, 2007 by Mu-ming Poo

Higher Processing of Visual Information: Lecture II --- April 4, 2007 by Mu-ming Poo Higher Processing of Visual Information: Lecture II April 4, 2007 by Muming Poo 1. Organization of Mammalian Visual Cortices 2. Structure of the Primary Visual Cortex layering, inputs, outputs, cell types

More information

New Procedures for False Discovery Control

New Procedures for False Discovery Control New Procedures for False Discovery Control Christopher R. Genovese Department of Statistics Carnegie Mellon University http://www.stat.cmu.edu/ ~ genovese/ Elisha Merriam Department of Neuroscience University

More information

Topographic organization of areas V3 and V4 and its relation to supra-areal organization of the primate visual system

Topographic organization of areas V3 and V4 and its relation to supra-areal organization of the primate visual system Visual Neuroscience (2015), 32, e014, 15 pages. Copyright Cambridge University Press, 2015 0952-5238/15 doi:10.1017/s0952523815000115 SPECIAL COLLECTION Controversial Issues in Visual Cortex Mapping REVIEW

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION Supplementary discussion 1: Most excitatory and suppressive stimuli for model neurons The model allows us to determine, for each model neuron, the set of most excitatory and suppresive features. First,

More information

Modeling retinal high and low contrast sensitivity lters. T. Lourens. Abstract

Modeling retinal high and low contrast sensitivity lters. T. Lourens. Abstract Modeling retinal high and low contrast sensitivity lters T. Lourens Department of Computer Science University of Groningen P.O. Box 800, 9700 AV Groningen, The Netherlands E-mail: tino@cs.rug.nl Abstract

More information

How Complex Cells Are Made in a Simple Cell Network

How Complex Cells Are Made in a Simple Cell Network How Complex Cells Are Made in a Simple Cell Network Louis Tao Courant Institute, New York University Collaborators: Michael Shelley (Courant, NYU) Robert Shapley (CNS, NYU) David McLaughlin (Courant, NYU)

More information

Fundamentals of Computational Neuroscience 2e

Fundamentals of Computational Neuroscience 2e Fundamentals of Computational Neuroscience 2e January 1, 2010 Chapter 10: The cognitive brain Hierarchical maps and attentive vision A. Ventral visual pathway B. Layered cortical maps Receptive field size

More information

The Bayesian Brain. Robert Jacobs Department of Brain & Cognitive Sciences University of Rochester. May 11, 2017

The Bayesian Brain. Robert Jacobs Department of Brain & Cognitive Sciences University of Rochester. May 11, 2017 The Bayesian Brain Robert Jacobs Department of Brain & Cognitive Sciences University of Rochester May 11, 2017 Bayesian Brain How do neurons represent the states of the world? How do neurons represent

More information

Emergence of Phase- and Shift-Invariant Features by Decomposition of Natural Images into Independent Feature Subspaces

Emergence of Phase- and Shift-Invariant Features by Decomposition of Natural Images into Independent Feature Subspaces LETTER Communicated by Bartlett Mel Emergence of Phase- and Shift-Invariant Features by Decomposition of Natural Images into Independent Feature Subspaces Aapo Hyvärinen Patrik Hoyer Helsinki University

More information

Ângelo Cardoso 27 May, Symbolic and Sub-Symbolic Learning Course Instituto Superior Técnico

Ângelo Cardoso 27 May, Symbolic and Sub-Symbolic Learning Course Instituto Superior Técnico BIOLOGICALLY INSPIRED COMPUTER MODELS FOR VISUAL RECOGNITION Ângelo Cardoso 27 May, 2010 Symbolic and Sub-Symbolic Learning Course Instituto Superior Técnico Index Human Vision Retinal Ganglion Cells Simple

More information

Krubitzer & Kaas S1 S2

Krubitzer & Kaas S1 S2 Krubitzer & Kaas S1 S2 V1 V2 A1 MT 30 μm pia white matter Somato- Mean of Motor sensory Frontal Temporal Parietal Visual means Mouse 109.2 ± 6.7 111.9 ±6.9 110.8 ±7.1 110.5 ±6.5 104.7 ±7.2 112.2 ±6.0 109.9

More information

Lateral organization & computation

Lateral organization & computation Lateral organization & computation review Population encoding & decoding lateral organization Efficient representations that reduce or exploit redundancy Fixation task 1rst order Retinotopic maps Log-polar

More information

Dynamic Shape Synthesis in Posterior Inferotemporal Cortex

Dynamic Shape Synthesis in Posterior Inferotemporal Cortex Neuron 49, 17 24, January 5, 2006 ª2006 Elsevier Inc. DOI 10.1016/j.neuron.2005.11.026 Dynamic Shape Synthesis in Posterior Inferotemporal Cortex Report Scott L. Brincat 1,2 and Charles E. Connor 1, *

More information

Neuroscience Introduction

Neuroscience Introduction Neuroscience Introduction The brain As humans, we can identify galaxies light years away, we can study particles smaller than an atom. But we still haven t unlocked the mystery of the three pounds of matter

More information

Visual motion processing and perceptual decision making

Visual motion processing and perceptual decision making Visual motion processing and perceptual decision making Aziz Hurzook (ahurzook@uwaterloo.ca) Oliver Trujillo (otrujill@uwaterloo.ca) Chris Eliasmith (celiasmith@uwaterloo.ca) Centre for Theoretical Neuroscience,

More information

Hierarchy. Will Penny. 24th March Hierarchy. Will Penny. Linear Models. Convergence. Nonlinear Models. References

Hierarchy. Will Penny. 24th March Hierarchy. Will Penny. Linear Models. Convergence. Nonlinear Models. References 24th March 2011 Update Hierarchical Model Rao and Ballard (1999) presented a hierarchical model of visual cortex to show how classical and extra-classical Receptive Field (RF) effects could be explained

More information

The Hebb rule Neurons that fire together wire together.

The Hebb rule Neurons that fire together wire together. Unsupervised learning The Hebb rule Neurons that fire together wire together. PCA RF development with PCA Classical Conditioning and Hebbʼs rule Ear A Nose B Tongue When an axon in cell A is near enough

More information

Convolutional neural networks

Convolutional neural networks 11-1: Convolutional neural networks Prof. J.C. Kao, UCLA Convolutional neural networks Motivation Biological inspiration Convolution operation Convolutional layer Padding and stride CNN architecture 11-2:

More information

Collecting Aligned Activity & Connectomic Data Example: Mouse Vibrissal Touch Barrel Cortex Exploiting Coherence to Reduce Dimensionality Example: C.

Collecting Aligned Activity & Connectomic Data Example: Mouse Vibrissal Touch Barrel Cortex Exploiting Coherence to Reduce Dimensionality Example: C. Collecting Aligned Activity & Connectomic Data Example: Mouse Vibrissal Touch Barrel Cortex Exploiting Coherence to Reduce Dimensionality Example: C. elegans Motor Control Sequence Spatially & Temporally

More information

SPIKE TRIGGERED APPROACHES. Odelia Schwartz Computational Neuroscience Course 2017

SPIKE TRIGGERED APPROACHES. Odelia Schwartz Computational Neuroscience Course 2017 SPIKE TRIGGERED APPROACHES Odelia Schwartz Computational Neuroscience Course 2017 LINEAR NONLINEAR MODELS Linear Nonlinear o Often constrain to some form of Linear, Nonlinear computations, e.g. visual

More information

Skull-closed Autonomous Development: WWN-7 Dealing with Scales

Skull-closed Autonomous Development: WWN-7 Dealing with Scales Skull-closed Autonomous Development: WWN-7 Dealing with Scales Xiaofeng Wu, Qian Guo and Juyang Weng Abstract The Where-What Networks (WWNs) consist of a series of embodiments of a general-purpose brain-inspired

More information

A General Mechanism for Tuning: Gain Control Circuits and Synapses Underlie Tuning of Cortical Neurons

A General Mechanism for Tuning: Gain Control Circuits and Synapses Underlie Tuning of Cortical Neurons massachusetts institute of technology computer science and artificial intelligence laboratory A General Mechanism for Tuning: Gain Control Circuits and Synapses Underlie Tuning of Cortical Neurons Minjoon

More information

A Multivariate Time-Frequency Based Phase Synchrony Measure for Quantifying Functional Connectivity in the Brain

A Multivariate Time-Frequency Based Phase Synchrony Measure for Quantifying Functional Connectivity in the Brain A Multivariate Time-Frequency Based Phase Synchrony Measure for Quantifying Functional Connectivity in the Brain Dr. Ali Yener Mutlu Department of Electrical and Electronics Engineering, Izmir Katip Celebi

More information

Computer Science and Artificial Intelligence Laboratory Technical Report

Computer Science and Artificial Intelligence Laboratory Technical Report Computer Science and Artificial Intelligence Laboratory Technical Report MIT-CSAIL-TR-2013-019 CBCL-313 August 6, 2013 Does invariant recognition predict tuning of neurons in sensory cortex? Tomaso Poggio,

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:10.1038/nature12742 1. Subjects Two adult male rhesus monkeys, A and F (14 and 12 kg) were trained on a two- alternative, forced- choice, visual discrimination task. Before training, both monkeys were

More information

+ + ( + ) = Linear recurrent networks. Simpler, much more amenable to analytic treatment E.g. by choosing

+ + ( + ) = Linear recurrent networks. Simpler, much more amenable to analytic treatment E.g. by choosing Linear recurrent networks Simpler, much more amenable to analytic treatment E.g. by choosing + ( + ) = Firing rates can be negative Approximates dynamics around fixed point Approximation often reasonable

More information

Exercises. Chapter 1. of τ approx that produces the most accurate estimate for this firing pattern.

Exercises. Chapter 1. of τ approx that produces the most accurate estimate for this firing pattern. 1 Exercises Chapter 1 1. Generate spike sequences with a constant firing rate r 0 using a Poisson spike generator. Then, add a refractory period to the model by allowing the firing rate r(t) to depend

More information

Sustained and transient channels

Sustained and transient channels Sustained and transient channels Chapter 5, pp. 141 164 19.12.2006 Some models of masking are based on two channels with different temporal properties Dual-channel models Evidence for two different channels

More information

Announcements: Test4: Wednesday on: week4 material CH5 CH6 & NIA CAPE Evaluations please do them for me!! ask questions...discuss listen learn.

Announcements: Test4: Wednesday on: week4 material CH5 CH6 & NIA CAPE Evaluations please do them for me!! ask questions...discuss listen learn. Announcements: Test4: Wednesday on: week4 material CH5 CH6 & NIA CAPE Evaluations please do them for me!! ask questions...discuss listen learn. The Chemical Senses: Olfaction Mary ET Boyle, Ph.D. Department

More information

Discovering the Human Connectome

Discovering the Human Connectome Networks and Complex Systems 2012 Discovering the Human Connectome Olaf Sporns Department of Psychological and Brain Sciences Indiana University, Bloomington, IN 47405 http://www.indiana.edu/~cortex, osporns@indiana.edu

More information

Limulus. The Neural Code. Response of Visual Neurons 9/21/2011

Limulus. The Neural Code. Response of Visual Neurons 9/21/2011 Crab cam (Barlow et al., 2001) self inhibition recurrent inhibition lateral inhibition - L16. Neural processing in Linear Systems: Temporal and Spatial Filtering C. D. Hopkins Sept. 21, 2011 The Neural

More information

Supplementary Information. Brain networks involved in tactile speed classification of moving dot patterns: the. effects of speed and dot periodicity

Supplementary Information. Brain networks involved in tactile speed classification of moving dot patterns: the. effects of speed and dot periodicity Supplementary Information Brain networks involved in tactile speed classification of moving dot patterns: the effects of speed and dot periodicity Jiajia Yang, Ryo Kitada *, Takanori Kochiyama, Yinghua

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION SUPPLEMENTARY INFORMATION 1. Supplementary Tables 2. Supplementary Figures 1/12 Supplementary tables TABLE S1 Response to Expected Value: Anatomical locations of regions correlating with the expected value

More information

Tilt-aftereffect and adaptation of V1 neurons

Tilt-aftereffect and adaptation of V1 neurons Tilt-aftereffect and adaptation of V1 neurons Dezhe Jin Department of Physics The Pennsylvania State University Outline The tilt aftereffect (TAE) Classical model of neural basis of TAE Neural data on

More information

Neural Networks 1 Synchronization in Spiking Neural Networks

Neural Networks 1 Synchronization in Spiking Neural Networks CS 790R Seminar Modeling & Simulation Neural Networks 1 Synchronization in Spiking Neural Networks René Doursat Department of Computer Science & Engineering University of Nevada, Reno Spring 2006 Synchronization

More information

The Temporal Dynamics of Cortical Normalization Models of Decision-making

The Temporal Dynamics of Cortical Normalization Models of Decision-making Letters in Biomathematics An International Journal Volume I, issue 2 (24) http://www.lettersinbiomath.org Research Article The Temporal Dynamics of Cortical Normalization Models of Decision-making Thomas

More information

RegML 2018 Class 8 Deep learning

RegML 2018 Class 8 Deep learning RegML 2018 Class 8 Deep learning Lorenzo Rosasco UNIGE-MIT-IIT June 18, 2018 Supervised vs unsupervised learning? So far we have been thinking of learning schemes made in two steps f(x) = w, Φ(x) F, x

More information

New Approaches to False Discovery Control

New Approaches to False Discovery Control New Approaches to False Discovery Control Christopher R. Genovese Department of Statistics Carnegie Mellon University http://www.stat.cmu.edu/ ~ genovese/ Larry Wasserman Department of Statistics Carnegie

More information

Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex

Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex Neurocomputing 32}33 (2000) 391}400 Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex Boris S. Gutkin *, G. Bard

More information

Neuroinformatics. Marcus Kaiser. Week 10: Cortical maps and competitive population coding (textbook chapter 7)!

Neuroinformatics. Marcus Kaiser. Week 10: Cortical maps and competitive population coding (textbook chapter 7)! 0 Neuroinformatics Marcus Kaiser Week 10: Cortical maps and competitive population coding (textbook chapter 7)! Outline Topographic maps Self-organizing maps Willshaw & von der Malsburg Kohonen Dynamic

More information

Correlations and neural information coding Shlens et al. 09

Correlations and neural information coding Shlens et al. 09 Correlations and neural information coding Shlens et al. 09 Joel Zylberberg www.jzlab.org The neural code is not one-to-one ρ = 0.52 ρ = 0.80 d 3s [Max Turner, UW] b # of trials trial 1!! trial 2!!.!.!.

More information

1/12/2017. Computational neuroscience. Neurotechnology.

1/12/2017. Computational neuroscience. Neurotechnology. Computational neuroscience Neurotechnology https://devblogs.nvidia.com/parallelforall/deep-learning-nutshell-core-concepts/ 1 Neurotechnology http://www.lce.hut.fi/research/cogntech/neurophysiology Recording

More information

Semi-supervised subspace analysis of human functional magnetic resonance imaging data

Semi-supervised subspace analysis of human functional magnetic resonance imaging data Max Planck Institut für biologische Kybernetik Max Planck Institute for Biological Cybernetics Technical Report No. 185 Semi-supervised subspace analysis of human functional magnetic resonance imaging

More information

Visual System. Anatomy of the Visual System. Advanced article

Visual System. Anatomy of the Visual System. Advanced article Stephen D Van Hooser, Brandeis University, Waltham, Massachusetts, USA Sacha B Nelson, Brandeis University, Waltham, Massachusetts, USA Humans and many other animals obtain much of their information about

More information

Structure and function of parallel pathways in the primate early visual system

Structure and function of parallel pathways in the primate early visual system J Physiol 566.1 (2005) pp 13 19 13 SYMPOSIUM REPORT Structure and function of parallel pathways in the primate early visual system Edward M. Callaway Systems Neurobiology Laboratories, The Salk Institute

More information

Lecture 6: Non-Cortical Visual Pathways MCP 9.013/7.68, 03

Lecture 6: Non-Cortical Visual Pathways MCP 9.013/7.68, 03 Lecture 6: Non-Cortical Visual Pathways MCP 9.013/7.68, 03 Roger W. Sperry The problem of central nervous reorganization after nerve regeneration and muscle transposition. R.W. Sperry. Quart. Rev. Biol.

More information

NCNC FAU. Modeling the Network Architecture of the Human Brain

NCNC FAU. Modeling the Network Architecture of the Human Brain NCNC 2010 - FAU Modeling the Network Architecture of the Human Brain Olaf Sporns Department of Psychological and Brain Sciences Indiana University, Bloomington, IN 47405 http://www.indiana.edu/~cortex,

More information

Resolving the organization of the third tier visual cortex in primates: A hypothesis-based approach

Resolving the organization of the third tier visual cortex in primates: A hypothesis-based approach Visual Neuroscience (2015), 32, e010, 26 pages. Copyright Cambridge University Press, 2015. The online version of this article is published within an Open Access environment subject to the conditions of

More information

Hierarchical Clustering Identifies Hub Nodes in a Model of Resting-State Brain Activity

Hierarchical Clustering Identifies Hub Nodes in a Model of Resting-State Brain Activity WCCI 22 IEEE World Congress on Computational Intelligence June, -5, 22 - Brisbane, Australia IJCNN Hierarchical Clustering Identifies Hub Nodes in a Model of Resting-State Brain Activity Mark Wildie and

More information

Clicker Question. Discussion Question

Clicker Question. Discussion Question Connectomics Networks and Graph Theory A network is a set of nodes connected by edges The field of graph theory has developed a number of measures to analyze networks Mean shortest path length: the average

More information

Congruent and Opposite Neurons: Sisters for Multisensory Integration and Segregation

Congruent and Opposite Neurons: Sisters for Multisensory Integration and Segregation Congruent and Opposite Neurons: Sisters for Multisensory Integration and Segregation Wen-Hao Zhang 1,2, He Wang 1, K. Y. Michael Wong 1, Si Wu 2 wenhaoz@ust.hk, hwangaa@connect.ust.hk, phkywong@ust.hk,

More information

!) + log(t) # n i. The last two terms on the right hand side (RHS) are clearly independent of θ and can be

!) + log(t) # n i. The last two terms on the right hand side (RHS) are clearly independent of θ and can be Supplementary Materials General case: computing log likelihood We first describe the general case of computing the log likelihood of a sensory parameter θ that is encoded by the activity of neurons. Each

More information

Marr's Theory of the Hippocampus: Part I

Marr's Theory of the Hippocampus: Part I Marr's Theory of the Hippocampus: Part I Computational Models of Neural Systems Lecture 3.3 David S. Touretzky October, 2015 David Marr: 1945-1980 10/05/15 Computational Models of Neural Systems 2 Marr

More information

The role of ephrins and structured retinal activity in the development of visual map topography

The role of ephrins and structured retinal activity in the development of visual map topography The role of ephrins and structured retinal activity in the development of visual map topography David Feldheim, UC Santa Cruz KITP Brain08 March 21, 2008 Topographic map development in the mouse visual

More information

Nature Neuroscience: doi: /nn Supplementary Figure 1. Expression of GCaMP6s in LGN and their axons in V1.

Nature Neuroscience: doi: /nn Supplementary Figure 1. Expression of GCaMP6s in LGN and their axons in V1. Supplementary Figure 1 Expression of GCaMP6s in LGN and their axons in V1. (a, b) Coronal section of LGN and V1 expressing GCaMP6s. a Coronal slice (bregma -2.3 mm) including thalamus confirmed that GCaMP6s

More information

Sub-Riemannian geometry in models of the visual cortex

Sub-Riemannian geometry in models of the visual cortex Sub-Riemannian geometry in models of the visual cortex Scott Pauls Department of Mathematics Dartmouth College 4 th Symposium on Analysis and PDE Purdue, May 27, 2009 Mathematical structure in the visual

More information

Normative Theory of Visual Receptive Fields

Normative Theory of Visual Receptive Fields Normative Theory of Visual Receptive Fields Tony Lindeberg Computational Brain Science Lab, Department of Computational Science and Technology, KTH Royal Institute of Technology, SE-00 44 Stockholm, Sweden.

More information

Statistical models for neural encoding

Statistical models for neural encoding Statistical models for neural encoding Part 1: discrete-time models Liam Paninski Gatsby Computational Neuroscience Unit University College London http://www.gatsby.ucl.ac.uk/ liam liam@gatsby.ucl.ac.uk

More information

Experimental design of fmri studies & Resting-State fmri

Experimental design of fmri studies & Resting-State fmri Methods & Models for fmri Analysis 2016 Experimental design of fmri studies & Resting-State fmri Sandra Iglesias With many thanks for slides & images to: Klaas Enno Stephan, FIL Methods group, Christian

More information

Realistic Modeling of Simple and Complex Cell Tuning in the HMAX Model, and Implications for Invariant Object Recognition in Cortex

Realistic Modeling of Simple and Complex Cell Tuning in the HMAX Model, and Implications for Invariant Object Recognition in Cortex massachusetts institute of technology computer science and artificial intelligence laboratory Realistic Modeling of Simple and Complex Cell Tuning in the HMAX Model, and Implications for Invariant Object

More information

Functional form of motion priors in human motion perception

Functional form of motion priors in human motion perception Functional form of motion priors in human motion perception Hongjing Lu,2 hongjing@ucla.edu Alan L. F. Lee alanlee@ucla.edu Tungyou Lin 3 tungyoul@math.ucla.edu Luminita Vese 3 lvese@math.ucla.edu Alan

More information

Competitive Learning for Deep Temporal Networks

Competitive Learning for Deep Temporal Networks Competitive Learning for Deep Temporal Networks Robert Gens Computer Science and Engineering University of Washington Seattle, WA 98195 rcg@cs.washington.edu Pedro Domingos Computer Science and Engineering

More information

Linking connectivity, dynamics and computations in low-rank recurrent neural networks

Linking connectivity, dynamics and computations in low-rank recurrent neural networks Linking connectivity, dynamics and computations in low-rank recurrent neural networks Francesca Mastrogiuseppe 1,2, Srdjan Ostojic 1 * 1 Laboratoire de Neurosciences Cognitives, INSERM U960 and 2 Laboratoire

More information

New Machine Learning Methods for Neuroimaging

New Machine Learning Methods for Neuroimaging New Machine Learning Methods for Neuroimaging Gatsby Computational Neuroscience Unit University College London, UK Dept of Computer Science University of Helsinki, Finland Outline Resting-state networks

More information

Experimental design of fmri studies

Experimental design of fmri studies Methods & Models for fmri Analysis 2017 Experimental design of fmri studies Sara Tomiello With many thanks for slides & images to: Sandra Iglesias, Klaas Enno Stephan, FIL Methods group, Christian Ruff

More information

A Biologically-Inspired Model for Recognition of Overlapped Patterns

A Biologically-Inspired Model for Recognition of Overlapped Patterns A Biologically-Inspired Model for Recognition of Overlapped Patterns Mohammad Saifullah Department of Computer and Information Science Linkoping University, Sweden Mohammad.saifullah@liu.se Abstract. In

More information

Spatial Representations in the Parietal Cortex May Use Basis Functions

Spatial Representations in the Parietal Cortex May Use Basis Functions Spatial Representations in the Parietal Cortex May Use Basis Functions Alexandre Pouget alex@salk.edu Terrence J. Sejnowski terry@salk.edu Howard Hughes Medical Institute The Salk Institute La Jolla, CA

More information

Next: Before we talk about topographic organization, we will review some species differences, and take a look at lamination in the midbrain tectum.

Next: Before we talk about topographic organization, we will review some species differences, and take a look at lamination in the midbrain tectum. Next: Before we talk about topographic organization, we will review some species differences, and take a look at lamination in the midbrain tectum. 1 Midbrain: Species comparisons An exercise in topology:

More information

Position Variance, Recurrence and Perceptual Learning

Position Variance, Recurrence and Perceptual Learning Position Variance, Recurrence and Perceptual Learning Zhaoping Li Peter Dayan Gatsby Computational Neuroscience Unit 7 Queen Square, London, England, WCN 3AR. zhaoping@gatsby.ucl.ac.uk dayan@gatsby.ucl.ac.uk

More information

Ventral Visual Stream and Deep Networks

Ventral Visual Stream and Deep Networks Ma191b Winter 2017 Geometry of Neuroscience References for this lecture: Tomaso A. Poggio and Fabio Anselmi, Visual Cortex and Deep Networks, MIT Press, 2016 F. Cucker, S. Smale, On the mathematical foundations

More information

Leo Kadanoff and 2d XY Models with Symmetry-Breaking Fields. renormalization group study of higher order gradients, cosines and vortices

Leo Kadanoff and 2d XY Models with Symmetry-Breaking Fields. renormalization group study of higher order gradients, cosines and vortices Leo Kadanoff and d XY Models with Symmetry-Breaking Fields renormalization group study of higher order gradients, cosines and vortices Leo Kadanoff and Random Matrix Theory Non-Hermitian Localization in

More information

A Neurocomputational Model of Smooth Pursuit Control to Interact with the Real World

A Neurocomputational Model of Smooth Pursuit Control to Interact with the Real World A Neurocomputational Model of Smooth Pursuit Control to Interact with the Real World by Seyed Omid Sadat Rezai A thesis presented to the University of Waterloo in fulfillment of the thesis requirement

More information

Big Data and the Brain G A L L A NT L A B

Big Data and the Brain G A L L A NT L A B Big Data and the Brain MICHAEL O L IVER G A L L A NT L A B UC BERKELEY The brain is gigantic The human brain has ~100 billion neurons connected by ~100 trillion synapses Multiple levels of organization

More information

CHARACTERIZATION OF NONLINEAR NEURON RESPONSES

CHARACTERIZATION OF NONLINEAR NEURON RESPONSES CHARACTERIZATION OF NONLINEAR NEURON RESPONSES Matt Whiteway whit8022@umd.edu Dr. Daniel A. Butts dab@umd.edu Neuroscience and Cognitive Science (NACS) Applied Mathematics and Scientific Computation (AMSC)

More information

Decision-making and Weber s law: a neurophysiological model

Decision-making and Weber s law: a neurophysiological model European Journal of Neuroscience, Vol. 24, pp. 901 916, 2006 doi:10.1111/j.14-9568.2006.04940.x Decision-making and Weber s law: a neurophysiological model Gustavo Deco 1 and Edmund T. Rolls 2 1 Institucio

More information

Cognitive Prosem. December 1, 2008

Cognitive Prosem. December 1, 2008 Cognitive Prosem December 1, 2008 Spatial Representation What does it mean to represent spatial information? What are the characteristics of human spatial representations? Reference Frames/Systems Distortions

More information

Modelling temporal structure (in noise and signal)

Modelling temporal structure (in noise and signal) Modelling temporal structure (in noise and signal) Mark Woolrich, Christian Beckmann*, Salima Makni & Steve Smith FMRIB, Oxford *Imperial/FMRIB temporal noise: modelling temporal autocorrelation temporal

More information

Structured hierarchical models for neurons in the early visual system

Structured hierarchical models for neurons in the early visual system Structured hierarchical models for neurons in the early visual system by Brett Vintch A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy Center for

More information

Slow Feature Analysis on Retinal Waves Leads to V1 Complex Cells

Slow Feature Analysis on Retinal Waves Leads to V1 Complex Cells Slow Feature Analysis on Retinal Waves Leads to V1 Complex Cells Sven Dähne 1,2,3 *, Niko Wilbert 2,3, Laurenz Wiskott 2,3,4 1 Machine Learning Group, Department of Computer Science, Berlin Institute of

More information

Deep learning in the visual cortex

Deep learning in the visual cortex Deep learning in the visual cortex Thomas Serre Brown University. Fundamentals of primate vision. Computational mechanisms of rapid recognition and feedforward processing. Beyond feedforward processing:

More information

Synchronization in Spiking Neural Networks

Synchronization in Spiking Neural Networks CS 790R Seminar Modeling & Simulation Synchronization in Spiking Neural Networks ~ Lecture 8 ~ René Doursat Department of Computer Science & Engineering University of Nevada, Reno Spring 2005 Synchronization

More information

A quantitative theory of neural computation

A quantitative theory of neural computation Biol Cybern (2006) 95:205 211 DOI 10.1007/s00422-006-0079-3 ORIGINAL PAPER A quantitative theory of neural computation Leslie G. Valiant Received: 16 September 2005 / Accepted: 25 April 2006 / Published

More information

Neural Networks. Henrik I. Christensen. Computer Science and Engineering University of California, San Diego

Neural Networks. Henrik I. Christensen. Computer Science and Engineering University of California, San Diego Neural Networks Henrik I. Christensen Computer Science and Engineering University of California, San Diego http://www.hichristensen.net Henrik I. Christensen (UCSD) Neural Networks 1 / 39 Introduction

More information

Spatial Vision: Primary Visual Cortex (Chapter 3, part 1)

Spatial Vision: Primary Visual Cortex (Chapter 3, part 1) Spatial Vision: Primary Visual Cortex (Chapter 3, part 1) Lecture 6 Jonathan Pillow Sensation & Perception (PSY 345 / NEU 325) Princeton University, Spring 2015 1 Chapter 2 remnants 2 Receptive field:

More information

Doing Cosmology with Balls and Envelopes

Doing Cosmology with Balls and Envelopes Doing Cosmology with Balls and Envelopes Christopher R. Genovese Department of Statistics Carnegie Mellon University http://www.stat.cmu.edu/ ~ genovese/ Larry Wasserman Department of Statistics Carnegie

More information

Effects of Betaxolol on Hodgkin-Huxley Model of Tiger Salamander Retinal Ganglion Cell

Effects of Betaxolol on Hodgkin-Huxley Model of Tiger Salamander Retinal Ganglion Cell Effects of Betaxolol on Hodgkin-Huxley Model of Tiger Salamander Retinal Ganglion Cell 1. Abstract Matthew Dunlevie Clement Lee Indrani Mikkilineni mdunlevi@ucsd.edu cll008@ucsd.edu imikkili@ucsd.edu Isolated

More information

Experimental design of fmri studies

Experimental design of fmri studies Experimental design of fmri studies Sandra Iglesias With many thanks for slides & images to: Klaas Enno Stephan, FIL Methods group, Christian Ruff SPM Course 2015 Overview of SPM Image time-series Kernel

More information

Graph theory for complex Networks-I

Graph theory for complex Networks-I Int. J. of Mathematical Sciences and Applications, Vol. 1, No. 3, September 2011 Copyright Mind Reader Publications www.journalshub.com Graph theory for complex Networks-I V.Yegnanarayanan 1 and G.K.Umamaheswari

More information

Global Layout Optimization of Olfactory Cortex and of Amygdala of Rat

Global Layout Optimization of Olfactory Cortex and of Amygdala of Rat UMIACS-TR-2007-14 CS-TR-4861 Global Layout Optimization of Olfactory Cortex and of Amygdala of Rat Raul Rodriguez-Esteban and Christopher Cherniak June 2005 Committee for Philosophy and the Sciences, Department

More information

Class Learning Data Representations: beyond DeepLearning: the Magic Theory. Tomaso Poggio. Thursday, December 5, 13

Class Learning Data Representations: beyond DeepLearning: the Magic Theory. Tomaso Poggio. Thursday, December 5, 13 Class 24-26 Learning Data Representations: beyond DeepLearning: the Magic Theory Tomaso Poggio Connection with the topic of learning theory 2 Notices of the American Mathematical Society (AMS), Vol. 50,

More information

Information maximization in a network of linear neurons

Information maximization in a network of linear neurons Information maximization in a network of linear neurons Holger Arnold May 30, 005 1 Introduction It is known since the work of Hubel and Wiesel [3], that many cells in the early visual areas of mammals

More information

Experimental design of fmri studies

Experimental design of fmri studies Experimental design of fmri studies Sandra Iglesias Translational Neuromodeling Unit University of Zurich & ETH Zurich With many thanks for slides & images to: Klaas Enno Stephan, FIL Methods group, Christian

More information