References and models cited by this paper

References and models that cite this paper

Albus JS (1971) A theory of cerebellar function Math Biosci 10:25-61

Apps R, Hawkes R (2009) Cerebellar cortical organization: a one-map hypothesis. Nat Rev Neurosci 10:670-81 [Journal] [PubMed]

Arenz A, Silver RA, Schaefer AT, Margrie TW (2008) The contribution of single synapses to sensory representation in vivo. Science 321:977-80 [Journal] [PubMed]

Arevian AC, Kapoor V, Urban NN (2008) Activity-dependent gating of lateral inhibition in the mouse olfactory bulb. Nat Neurosci 11:80-7 [Journal] [PubMed]

Babadi B, Sompolinsky H (2014) Sparseness and expansion in sensory representations. Neuron 83:1213-26 [Journal] [PubMed]

Baxter DA, Byrne JH (2007) Simulator for neural networks and action potentials. Methods Mol Biol 401:127-54 [Journal] [PubMed]

Bengtsson F, Jörntell H (2009) Sensory transmission in cerebellar granule cells relies on similarly coded mossy fiber inputs. Proc Natl Acad Sci U S A 106:2389-94 [Journal] [PubMed]

Billings G, Piasini E, Lorincz A, Nusser Z, Silver RA (2014) Network structure within the cerebellar input layer enables lossless sparse encoding. Neuron 83:960-74 [Journal] [PubMed]

Brooks JX, Carriot J, Cullen KE (2015) Learning to expect the unexpected: rapid updating in primate cerebellum during voluntary self-motion. Nat Neurosci 18:1310-7 [Journal] [PubMed]

Brunel N, Hakim V, Isope P, Nadal JP, Barbour B (2004) Optimal information storage and the distribution of synaptic weights: perceptron versus Purkinje cell. Neuron 43:745-57 [Journal] [PubMed]

Buonomano DV, Maass W (2009) State-dependent computations: spatiotemporal processing in cortical networks. Nat Rev Neurosci 10:113-25 [Journal] [PubMed]

Cannon RC, Gleeson P, Crook S, Ganapathy G, Marin B, Piasini E, Silver RA (2014) LEMS: a language for expressing complex biological models in concise and hierarchical form and its use in underpinning NeuroML 2. Front Neuroinform 8:79 [Journal] [PubMed]

Caron SJ, Ruta V, Abbott LF, Axel R (2013) Random convergence of olfactory inputs in the Drosophila mushroom body. Nature 497:113-7 [Journal] [PubMed]

Chabrol FP, Arenz A, Wiechert MT, Margrie TW, DiGregorio DA (2015) Synaptic diversity enables temporal coding of coincident multisensory inputs in single neurons. Nat Neurosci 18:718-27 [Journal] [PubMed]

Chen TW, Wardill TJ, Sun Y, Pulver SR, Renninger SL, Baohan A, Schreiter ER, Kerr RA, Orger MB, Jayaraman V, Looger LL, Svoboda K, Kim DS (2013) Ultrasensitive fluorescent proteins for imaging neuronal activity. Nature 499:295-300 [Journal] [PubMed]

Chow SF, Wick SD, Riecke H (2012) Neurogenesis drives stimulus decorrelation in a model of the olfactory bulb. PLoS Comput Biol 8:e1002398 [Journal] [PubMed]

Crowley JJ, Fioravante D, Regehr WG (2009) Dynamics of fast and slow inhibition from cerebellar golgi cells allow flexible control of synaptic integration. Neuron 63:843-53 [Journal] [PubMed]

de la Rocha J, Doiron B, Shea-Brown E, Josic K, Reyes A (2007) Correlation between neural spike trains increases with firing rate. Nature 448:802-6 [Journal] [PubMed]

Duguid I, Branco T, London M, Chadderton P, Häusser M (2012) Tonic inhibition enhances fidelity of sensory information transmission in the cerebellar cortex. J Neurosci 32:11132-43 [Journal] [PubMed]

Farrant M, Nusser Z (2005) Variations on an inhibitory theme: phasic and tonic activation of GABA(A) receptors. Nat Rev Neurosci 6:215-29 [Journal] [PubMed]

Friedrich RW (2013) Neuronal computations in the olfactory system of zebrafish. Annu Rev Neurosci 36:383-402 [Journal] [PubMed]

Galliano E, Gao Z, Schonewille M, Todorov B, Simons E, Pop AS, D'Angelo E, van den Maagdenberg AM, Hoebeek FE, De Zeeuw CI (2013) Silencing the majority of cerebellar granule cells uncovers their essential role in motor learning and consolidation. Cell Rep 3:1239-51 [Journal] [PubMed]

Gao Z, van Beugen BJ, De Zeeuw CI (2012) Distributed synergistic plasticity and cerebellar learning. Nat Rev Neurosci 13:619-35 [Journal] [PubMed]

Giovannucci A, Badura A, Deverett B, Najafi F, Pereira TD, Gao Z, Ozden I, Kloth AD, Pnevmatikakis E, Paninski L, De Zeeuw CI, Medina JF, Wang SS (2017) Cerebellar granule cells acquire a widespread predictive feedback signal during motor learning. Nat Neurosci 20:727-734 [Journal] [PubMed]

Giridhar S, Doiron B, Urban NN (2011) Timescale-dependent shaping of correlation by olfactory bulb lateral inhibition. Proc Natl Acad Sci U S A 108:5843-8 [Journal] [PubMed]

Gschwend O, Abraham NM, Lagier S, Begnaud F, Rodriguez I, Carleton A (2015) Neuronal pattern separation in the olfactory bulb improves odor discrimination learning. Nat Neurosci 18:1474-1482 [Journal] [PubMed]

Hamann M, Rossi DJ, Attwell D (2002) Tonic and spillover inhibition of granule cells control information flow through cerebellar cortex. Neuron 33:625-33 [PubMed]

Ishikawa T, Shimuta M, Häusser M (2015) Multimodal sensory integration in single cerebellar granule cells in vivo. Elife [Journal] [PubMed]

Ito M (2006) Cerebellar circuitry as a neuronal machine. Prog Neurobiol 78:272-303 [Journal] [PubMed]

Ji N, Freeman J, Smith SL (2016) Technologies for imaging neural activity in large volumes. Nat Neurosci 19:1154-64 [Journal] [PubMed]

Jörntell H, Ekerot CF (2006) Properties of somatosensory synaptic integration in cerebellar granule cells in vivo. J Neurosci 26:11786-97 [Journal] [PubMed]

Kanerva P (1988) Sparse Distributed Memory

Kanichay RT, Silver RA (2008) Synaptic and cellular properties of the feedforward inhibitory circuit within the input layer of the cerebellar cortex. J Neurosci 28:8955-67 [Journal] [PubMed]

Kennedy A, Wayne G, Kaifosh P, Alviña K, Abbott LF, Sawtell NB (2014) A temporal basis for predicting the sensory consequences of motor commands in an electric fish. Nat Neurosci 17:416-22 [Journal] [PubMed]

King PD, Zylberberg J, DeWeese MR (2013) Inhibitory interneurons decorrelate excitatory cells to drive sparse code formation in a spiking model of V1. J Neurosci 33:5475-85 [Journal] [PubMed]

Knogler LD, Markov DA, Dragomir EI, Štih V, Portugues R (2017) Sensorimotor Representations in Cerebellar Granule Cells in Larval Zebrafish Are Dense, Spatially Organized, and Non-temporally Patterned. Curr Biol 27:1288-1302 [Journal] [PubMed]

Laurent G (2002) Olfactory network dynamics and the coding of multidimensional signals. Nat Rev Neurosci 3:884-95 [Journal] [PubMed]

Leutgeb JK, Leutgeb S, Moser MB, Moser EI (2007) Pattern separation in the dentate gyrus and CA3 of the hippocampus. Science 315:961-6 [Journal] [PubMed]

Lin AC, Bygrave AM, de Calignon A, Lee T, Miesenböck G (2014) Sparse, decorrelated odor coding in the mushroom body enhances learned odor discrimination. Nat Neurosci 17:559-68 [Journal] [PubMed]

Litwin-Kumar A, Harris KD, Axel R, Sompolinsky H, Abbott LF (2017) Optimal Degrees of Synaptic Connectivity. Neuron 93:1153-1164.e7 [Journal] [PubMed]

Macke JH, Berens P, Ecker AS, Tolias AS, Bethge M (2009) Generating spike trains with specified correlation coefficients. Neural Comput 21:397-423 [Journal] [PubMed]

Marr D (1969) A theory of cerebellar cortex. J Physiol 202:437-70 [PubMed]

Medina JF, Mauk MD (2000) Computer simulation of cerebellar information processing. Nat Neurosci 3 Suppl:1205-11 [Journal] [PubMed]

Mugnaini E, Osen KK, Dahl AL, Friedrich VL, Korte G (1980) Fine structure of granule cells and related interneurons (termed Golgi cells) in the cochlear nuclear complex of cat, rat and mouse. J Neurocytol 9:537-70 [PubMed]

Nadella KM, Roš H, Baragli C, Griffiths VA, Konstantinou G, Koimtzis T, Evans GJ, Kirkby PA, Silver RA (2016) Random-access scanning microscopy for 3D imaging in awake behaving animals. Nat Methods 13:1001-1004 [Journal] [PubMed]

Nirenberg S, Latham PE (1998) Population coding in the retina. Curr Opin Neurobiol 8:488-93 [PubMed]

Oertel D, Young ED (2004) What's a cerebellar circuit doing in the auditory system? Trends Neurosci 27:104-10 [Journal] [PubMed]

Olshausen BA, Field DJ (1996) Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381:607-9 [Journal] [PubMed]

Papadopoulou M, Cassenaer S, Nowotny T, Laurent G (2011) Normalization for sparse encoding of odors by a wide-field interneuron. Science 332:721-5 [Journal] [PubMed]

Powell K, Mathy A, Duguid I, Häusser M (2015) Synaptic representation of locomotion in single cerebellar granule cells. Elife [Journal] [PubMed]

Proville RD, Spolidoro M, Guyon N, Dugué GP, Selimi F, Isope P, Popa D, Léna C (2014) Cerebellum involvement in cortical sensorimotor circuits for the control of voluntary movements. Nat Neurosci 17:1233-9 [Journal] [PubMed]

Rancz EA, Ishikawa T, Duguid I, Chadderton P, Mahon S, Häusser M (2007) High-fidelity transmission of sensory information by single cerebellar mossy fibre boutons. Nature 450:1245-8 [Journal] [PubMed]

Ritzau-Jost A, Delvendahl I, Rings A, Byczkowicz N, Harada H, Shigemoto R, Hirrlinger J, Eilers J, Hallermann S (2014) Ultrafast action potentials mediate kilohertz signaling at a central synapse. Neuron 84:152-163 [Journal] [PubMed]

Rothman JS, Cathala L, Steuber V, Silver RA (2009) Synaptic depression enables neuronal gain control. Nature 457:1015-8 [Journal] [PubMed]

Schneidman E, Berry MJ, Segev R, Bialek W (2006) Weak pairwise correlations imply strongly correlated network states in a neural population. Nature 440:1007-12 [Journal] [PubMed]

Schwartz EJ, Rothman JS, Dugué GP, Diana M, Rousseau C, Silver RA, Dieudonné S (2012) NMDA receptors with incomplete Mg²? block enable low-frequency transmission through the cerebellar cortex. J Neurosci 32:6878-93 [Journal] [PubMed]

Schweighofer N, Doya K, Lay F (2001) Unsupervised learning of granule cell sparse codes enhances cerebellar adaptive control. Neuroscience 103:35-50 [PubMed]

Seja P, Schonewille M, Spitzmaul G, Badura A, Klein I, Rudhard Y, Wisden W, Hübner CA, De Zeeuw CI, Jentsch TJ (2012) Raising cytosolic Cl- in cerebellar granule cells affects their excitability and vestibulo-ocular learning. EMBO J 31:1217-30 [Journal] [PubMed]

Shambes GM, Gibson JM, Welker W (1978) Fractured somatotopy in granule cell tactile areas of rat cerebellar hemispheres revealed by micromapping. Brain Behav Evol 15:94-140 [Journal] [PubMed]

Simmonds B, Chacron MJ (2015) Activation of parallel fiber feedback by spatially diffuse stimuli reduces signal and noise correlations via independent mechanisms in a cerebellum-like structure. PLoS Comput Biol 11:e1004034 [Journal] [PubMed]

Suvrathan A, Payne HL, Raymond JL (2016) Timing Rules for Synaptic Plasticity Matched to Behavioral Function. Neuron 92:959-967 [Journal] [PubMed]

Tetzlaff T, Helias M, Einevoll GT, Diesmann M (2012) Decorrelation of neural-network activity by inhibitory feedback. PLoS Comput Biol 8:e1002596 [Journal] [PubMed]

Torioka T (1978) Pattern separability and the effect of the number of connections in a random neural net with inhibitory connections. Biol Cybern 31:27-35 [PubMed]

Tyrrell T, Willshaw D (1992) Cerebellar cortex: its simulation and the relevance of Marr's theory. Philos Trans R Soc Lond B Biol Sci 336:239-57 [Journal] [PubMed]

van Kan PL, Gibson AR, Houk JC (1993) Movement-related inputs to intermediate cerebellum of the monkey. J Neurophysiol 69:74-94 [Journal] [PubMed]

Vinje WE, Gallant JL (2000) Sparse coding and decorrelation in primary visual cortex during natural vision. Science 287:1273-6 [PubMed]

Wiechert MT, Judkewitz B, Riecke H, Friedrich RW (2010) Mechanisms of pattern decorrelation by recurrent neuronal circuits. Nat Neurosci 13:1003-10 [Journal] [PubMed]

Wittenberg GM,Wang SSH (2007) Chapter 2 Dendrites, Stuart G:Spruston N:Häusser M, ed. pp.43

Wolpert DM, Miall RC, Kawato M (1998) Internal models in the cerebellum. Trends Cogn Sci 2:338-47 [PubMed]

Yassa MA, Stark CE (2011) Pattern separation in the hippocampus. Trends Neurosci 34:515-25 [Journal] [PubMed]