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  1. A Normative Theory of Adaptive Dimensionality Reduction in Neural Networks

    Publication
    To make sense of the world our brains must analyze high-dimensional datasets streamed by our sensory organs. Because such analysis begins with dimensionality reduction, modelling early sensory …

  2. Synaptic circuits and their variations within different columns in the visual system of Drosophila

    Publication
    Circuit diagrams of brains are generally reported only as absolute or consensus networks; these diagrams fail to identify the accuracy of connections, however, for which multiple circuits of …

  3. Optimization theory of Hebbian/anti-Hebbian networks for PCA and whitening

    Publication
    In analyzing information streamed by sensory organs, our brains face challenges similar to those solved in statistical signal processing. This suggests that biologically plausible implementations of online signal …

  4. Synaptic circuits and their variations within different columns in the visual system of Drosophila

    Publication
    We reconstructed the synaptic circuits of seven columns in the second neuropil or medulla behind the fly’s compound eye. These neurons embody some of the most stereotyped …

  5. Automatic Adaptation to Fast Input Changes in a Time-Invariant Neural Circuit

    Publication
    Neurons must faithfully encode signals that can vary over many orders of magnitude despite having only limited dynamic ranges. For a correlated signal, this dynamic range constraint can …

  6. Automatic adaptation to fast input changes in a time-invariant neural circuit

    Publication
    Neurons must faithfully encode signals that can vary over many orders of magnitude despite having only limited dynamic ranges. For a correlated signal, this dynamic range constraint can …

  7. A Hebbian/Anti-Hebbian Neural Network for Linear Subspace Learning: A Derivation from Multidimensional Scaling of Streaming Data

    Publication
    Neural network models of early sensory processing typically reduce the dimensionality of streaming input data. Such networks learn the principal subspace, in the sense of principal component analysis …

  8. A Hebbian/Anti-Hebbian Network Derived from Online Non-Negative Matrix Factorization Can Cluster and Discover Sparse Features

    Publication
    Despite our extensive knowledge of biophysical properties of neurons, there is no commonly accepted algorithmic theory of neuronal function. Here we explore the hypothesis that single-layer neuronal …

  9. A consistent muscle activation strategy underlies crawling and swimming in Caenorhabditis elegans

    Publication
    Although undulatory swimming is observed in many organisms, the neuromuscular basis for undulatory movement patterns is not well understood. To better understand the basis for the generation of …

  10. A Hebbian/Anti-Hebbian Neural Network for Linear Subspace Learning: A Derivation from Multidimensional Scaling of Streaming Data

    Publication
    Neural network models of early sensory processing typically reduce the dimensionality of streaming input data. Such networks learn the principal subspace, in the sense of principal component analysis …

  11. A Hebbian/Anti-Hebbian Network for Online Sparse Dictionary Learning Derived from Symmetric Matrix Factorization

    Publication
    Olshausen and Field (OF) proposed that neural computations in the primary visual cortex (V1) can be partially modelled by sparse dictionary learning. By minimizing the regularized representation error …

  12. A Neuron as a Signal Processing Device

    Publication
    A neuron is a basic physiological and computational unit of the brain. While much is known about the physiological properties of a neuron, its computational role is poorly …

  13. Toward large-scale connectome reconstructions

    Publication
    Recent results have shown the possibility of both reconstructing connectomes of small but biologically interesting circuits and extracting from these connectomes insights into their function. However, these reconstructions …

  14. Wiring economy can account for cell body placement across species and brain areas

    Publication
    The placement of neuronal cell bodies relative to the neuropile differs among species and brain areas. Cell bodies can be either embedded as in mammalian cortex or segregated …

  15. Segregation of the Brain into Gray and White Matter: A Design Minimizing Conduction Delays

    Publication
    A ubiquitous feature of the vertebrate anatomy is the segregation of the brain into white and gray matter. Assuming that evolution maximized brain functionality, what is the reason …

  16. Ocular dominance patterns and the wire length minimization: a numerical study

    Publication
    We study a mathematical model for ocular dominance patterns (ODPs) in primary visual cortex. This model is based on the premise that ODP is an adaptation to minimize …