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Rao RP (2004) Bayesian computation in recurrent neural circuits. Neural Comput 16:1-38 [PubMed]

References and models cited by this paper

References and models that cite this paper

Anastasio TJ, Patton PE, Belkacem-Boussaid K (2000) Using Bayes' rule to model multisensory enhancement in the superior colliculus. Neural Comput 12:1165-87 [PubMed]

Anderson C (1994) Neurobiological computational systems. Computational Intelligence Imitating Life. :213-222

Anderson CH (1996) Unifying perspectives on neuronal codes and processing Proceedings of the XIX International Workshop on Condensed Matter Theories, Ludena E:Vashishta P:Bishop R, ed.

Ascher D, Grzywacz NM (2000) A bayesian model for the measurement of visual velocity. Vision Res 40:3427-34 [PubMed]

Barlow HB (1969) Pattern recognition and the responses of sensory neurons. Ann N Y Acad Sci 156:872-81 [PubMed]

Barlow HB (1972) Single units and sensation: a neuron doctrine for perceptual psychology? Perception 1:371-94 [Journal] [PubMed]

Bloj MG, Kersten D, Hurlbert AC (1999) Perception of three-dimensional shape influences colour perception through mutual illumination. Nature 402:877-9 [Journal] [PubMed]

Bridle JS (1990) Alpha-Nets: A recurrent fineuralfi network architecture with a hidden Markov model interpretation Speech Communication 9:83-92

Britten KH, Shadlen MN, Newsome WT, Movshon JA (1992) The analysis of visual motion: a comparison of neuronal and psychophysical performance. J Neurosci 12:4745-65 [PubMed]

Carpenter RH, Williams ML (1995) Neural computation of log likelihood in control of saccadic eye movements. Nature 377:59-62 [Journal] [PubMed]

Dayan P, Abbott L (2001) Neural encoding: Firing rates and spike statistics Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems

Dayan P, Hinton GE, Neal RM, Zemel RS (1995) The Helmholtz machine. Neural Comput 7:889-904 [PubMed]

DeAngelis GC, Robson JG, Ohzawa I, Freeman RD (1992) Organization of suppression in receptive fields of neurons in cat visual cortex. J Neurophysiol 68:144-63 [Journal] [PubMed]

Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc B 39:1-38

Deneve S, Latham PE, Pouget A (1999) Reading population codes: a neural implementation of ideal observers. Nat Neurosci 2:740-5 [Journal] [PubMed]

Deneve S, Pouget A (2001) Bayesian estimation by interconnected neural networks Soc Neurosci Abstr 27:237

Eliasmith C, Anderson CH (2003) Neural Engineering: Computation, Representation, and Dynamics in Neurobiological Systems

Felleman DJ, Van Essen DC (1991) Distributed hierarchical processing in the primate cerebral cortex. Cereb Cortex 1:1-47 [PubMed]

Földiák P (1990) Forming sparse representations by local anti-Hebbian learning. Biol Cybern 64:165-70 [PubMed]

Freeman WT, Haddon J, Pasztor EC (2002) Learning motion analysis Probabilistic models of the brain: Perception and neural function, Rao RPN:Olshausen BA:Lewicki MS, ed. pp.97

Glimcher P (2002) Decisions, decisions, decisions: choosing a biological science of choice. Neuron 36:323-32 [PubMed]

Gold JI, Shadlen MN (2001) Neural computations that underlie decisions about sensory stimuli. Trends Cogn Sci 5:10-16 [PubMed]

Hanes DP, Schall JD (1996) Neural control of voluntary movement initiation. Science 274:427-30 [PubMed]

Hebb DO (1949) The Organization Of Behavior

Hinton G, Sejnowski T (1986) Learning and relearning in Boltzmann machines Parallel Distributed Processing, Rumelhart D:McClelland J, ed. pp.282

Hinton GE, Brown AD (2002) Learning to use spike timing in a restricted Boltzmann machine Probabilistic models of the brain: Perception and neural function, Rao RPN:Olshausen BA:Lewicki MS, ed. pp.285

Hinton GE, Dayan P (1996) Varieties of Helmholtz Machine. Neural Netw 9:1385-1403 [PubMed]

Hinton GE, Ghahramani Z (1997) Generative models for discovering sparse distributed representations. Philos Trans R Soc Lond B Biol Sci 352:1177-90 [Journal] [PubMed]

Hinton GE, Sejnowski TJ (1983) Optimal perceptual inference. Proc. IEEE Computer Soc. Conf. on Vision and Pattern Recognition. :448-453

Hoyer PO, Hyvarinen A (2004) Interpreting neural response variability as Monte Carlo sampling of the posterior Advances in neural information processing systems, Becker S:Thrun S:Obermayer K, ed.

Jacobs RA (2002) Visual cue integration for depth perception Probabilistic models of the brain: Perception and neural function, Rao RPN:Olshausen BA:Lewicki MS, ed. pp.61

Jordan MI, Weiss Y (2002) Graphical models: Probabilistic inference The handbook of brain theory and neural networks (2nd ed), Arbib MA, ed.

Knierim JJ, van Essen DC (1992) Neuronal responses to static texture patterns in area V1 of the alert macaque monkey. J Neurophysiol 67:961-80 [Journal] [PubMed]

Knill DC, Richards W (1996) Perception as Bayesian Inference.

Koch C (1999) Biophysics Of Computation: Information Processing in Single Neurons

Koechlin E, Anton JL, Burnod Y (1999) Bayesian inference in populations of cortical neurons: a model of motion integration and segmentation in area MT. Biol Cybern 80:25-44 [Journal] [PubMed]

Lewicki MS, Sejnowski TJ (1997) Bayesian unsupervised learning of higher order structure. Adv Neural Informat Processing Syst 9:529-535

Luce RD (1986) Response times: their rolein inferring elementary mental organization Oxford psychology series

Mamassian P, Landy M, Maloney LT (2002) Bayesian modelling of visual perception Probabilistic models of the brain: Perception and neural function, Rao RPN:Olshausen BA:Lewicki MS, ed. pp.61

Mazurek ME, Ditterich J, Palmer J, Shadlen MN (2001) Effect of prior probability on behavior and LIP responses in a motion discrimination task Soc Neurosci Abstr 27:58

Mel BW (1993) Synaptic integration in an excitable dendritic tree. J Neurophysiol 70:1086-101 [Journal] [PubMed]

Miller EK, Li L, Desimone R (1991) A neural mechanism for working and recognition memory in inferior temporal cortex. Science 254:1377-9 [PubMed]

Neal RM, Hinton GE (1998) A new view of the EM algorithm that justifies incremental, sparse and other variants Learning in graphical models, Jordan MI, ed. pp.355

Platt ML, Glimcher PW (1999) Neural correlates of decision variables in parietal cortex. Nature 400:233-8 [Journal] [PubMed]

Pouget A, Dayan P, Zemel R (2000) Information processing with population codes. Nat Rev Neurosci 1:125-32 [Journal] [PubMed]

Pouget A, Zhang K, Deneve S, Latham PE (1998) Statistically efficient estimation using population coding. Neural Comput 10:373-401 [PubMed]

Rabiner L, Juang B (1986) An introduction to hidden Markov models IEEE ASSP Magazine 3:4-16

Rao RP (1999) An optimal estimation approach to visual perception and learning. Vision Res 39:1963-89 [PubMed]

Rao RP, Ballard DH (1997) Dynamic model of visual recognition predicts neural response properties in the visual cortex. Neural Comput 9:721-63 [PubMed]

Rao RP, Ballard DH (1999) Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects. Nat Neurosci 2:79-87 [Journal] [PubMed]

Rao RPN, Olshausen BA, Lewicki MS (2002) Probabilistic models of the brain: Perception and neural function

Ratcliff R, Van Zandt T, McKoon G (1999) Connectionist and diffusion models of reaction time. Psychol Rev 106:261-300 [PubMed]

Reddi BA, Carpenter RH (2000) The influence of urgency on decision time. Nat Neurosci 3:827-30 [Journal] [PubMed]

Reynolds JH, Chelazzi L, Desimone R (1999) Competitive mechanisms subserve attention in macaque areas V2 and V4. J Neurosci 19:1736-53 [PubMed]

Roitman JD, Shadlen MN (2002) Response of neurons in the lateral intraparietal area during a combined visual discrimination reaction time task. J Neurosci 22:9475-89 [PubMed]

Schall JD, Hanes DP (1998) Neural mechanisms of selection and control of visually guided eye movements. Neural Netw 11:1241-1251 [PubMed]

Schall JD, Thompson KG (1999) Neural selection and control of visually guided eye movements. Annu Rev Neurosci 22:241-59 [Journal] [PubMed]

Seung HS (1996) How the brain keeps the eyes still. Proc Natl Acad Sci U S A 93:13339-44 [PubMed]

Shadlen MN, Newsome WT (2001) Neural basis of a perceptual decision in the parietal cortex (area LIP) of the rhesus monkey. J Neurophysiol 86:1916-36 [Journal] [PubMed]

Simoncelli EP (1993) Distributed representation and analysis of visual motion Doctoral dissertation

Srinivasan MV, Laughlin SB, Dubs A (1982) Predictive coding: a fresh view of inhibition in the retina. Proc R Soc Lond B Biol Sci 216:427-59 [Journal] [PubMed]

Usher M, McClelland JL (2001) The time course of perceptual choice: the leaky, competing accumulator model. Psychol Rev 108:550-92 [PubMed]

Wang XJ (2001) Synaptic reverberation underlying mnemonic persistent activity. Trends Neurosci 24:455-63 [PubMed]

Wang XJ (2002) Probabilistic decision making by slow reverberation in cortical circuits. Neuron 36:955-68 [PubMed]

Weiss Y, Fleet DJ (2002) Velocity likelihoods in biological and machine vision Probabilistic models of the brain: Perception and neural function, Rao RPN:Olshausen BA:Lewicki MS, ed. pp.77

Weiss Y, Simoncelli EP, Adelson EH (2002) Motion illusions as optimal percepts. Nat Neurosci 5:598-604 [Journal] [PubMed]

Wu S, Chen D, Niranjan M, Amari S (2003) Sequential Bayesian decoding with a population of neurons. Neural Comput 15:993-1012 [Journal] [PubMed]

Zemel RS, Dayan P (1999) Distributional population codes and multiple motion models Advances in neural information processing systems, Kearns MS:Solla SA:Cohn DA, ed. pp.174

Zemel RS, Dayan P, Pouget A (1998) Probabilistic interpretation of population codes. Neural Comput 10:403-30 [PubMed]

Zhang K, Ginzburg I, McNaughton BL, Sejnowski TJ (1998) Interpreting neuronal population activity by reconstruction: unified framework with application to hippocampal place cells. J Neurophysiol 79:1017-44 [Journal] [PubMed]

Zipser K, Lamme VA, Schiller PH (1996) Contextual modulation in primary visual cortex. J Neurosci 16:7376-89 [PubMed]

Beck JM, Pouget A (2007) Exact inferences in a neural implementation of a hidden Markov model. Neural Comput 19:1344-61 [Journal] [PubMed]

Deneve S (2008) Bayesian spiking neurons I: inference. Neural Comput 20:91-117 [Journal] [PubMed]

Ernst U, Rotermund D, Pawelzik K (2007) Efficient computation based on stochastic spikes. Neural Comput 19:1313-43 [Journal] [PubMed]

Nemenman I (2005) Fluctuation-dissipation theorem and models of learning. Neural Comput 17:2006-33 [Journal] [PubMed]

Sato Y, Toyoizumi T, Aihara K (2007) Bayesian inference explains perception of unity and ventriloquism aftereffect: identification of common sources of audiovisual stimuli. Neural Comput 19:3335-55 [Journal] [PubMed]

Wu S, Amari S (2005) Computing with continuous attractors: stability and online aspects. Neural Comput 17:2215-39 [Journal] [PubMed]

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