Modeling simple-cell direction selectivity with normalized, half-squared, linear operators.

By David J. Heeger. 1993

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Citations in the corpus

Normalization as a canonical neural computation (2011, methodology): “Indeed, the normalization model was first developed to account for the physiological responses of neurons in the primary visual cortex (V1”
A model of neuronal responses in visual area MT. (1998, neutral): “Physiologically, these responses could be computed via inhibitory feedback mechanisms (for example, see Heeger, 1992b, 1993; Carandini and Heeger, 1994; Carandini et al., 1997).”
Computational models of cortical visual processing. (1996, methodology): “This is due to the design of the underlying linear weighting functions (see Heeger 1993 for details).”
Inhibition, spike threshold, and stimulus selectivity in primary visual cortex. (2008, unknown): “Numerous computational models have proposed that some output nonlinearity like an iceberg effect or power law is necessary to account for the responses of cortical neurons (Gardner et al., 1999; Heeger, 1993; Jones and Palmer, 1987; Rose and Blakemore , 1974; Tolhurst and Heeger, 1997).”
A Neural Implementation of the Kalman Filter (2009, methodology): “This is very different from Zhang’s model, that has no concept of uncertainty and is also very different from the traditional view of divisive inhibition that sees it as a mechanism for gain control [14, 13].”
A Feedback Model of Attention Explains the Diverse Effects of Attention on Neural Firing Rates and Receptive Field Structure (2016, background): “Note that cell activations are squared to reproduce a power-law response curve [50,51].”
A Theory of Object Recognition: Computations and Circuits in the Feedforward Path of the Ventral Stream in Primate Visual Cortex (2005, background): “The normalization across the inputs can be achieved by a divisive gain control mechanism involving inhibitory interactions [Reichardt et al., 1983; Carandini and Heeger, 1994; Carandini et al., 1997; Heeger, 1993].”
A Canonical Neural Circuit for Cortical Nonlinear Operations (2008, methodology): “Such behavior is often modeled by divisive normalization circuits over a pool of inputs (Carandini & Heeger, 1994; Heeger, 1993).”
Linearity and Normalization in Simple Cells of the Macaque Primary Visual Cortex (1997, result): “The normalization mechanism that we propose works exactly that way, and indeed we have shown that it predicts effects similar to those observed by Reid and collaborators (Carandini and Heeger, 1993).”
Attention, Uncertainty, and Free-Energy (2010, background): “These modifications are interesting and relate to important theories based on divisive normalization (Heeger, 1993).”
Do We Know What the Early Visual System Does? (2005, methodology): “Previous studies have shown that direction selectivity of simple cells can be predicted from their spatiotemporal receptive fields and the expansive nonlinearity in the contrast–response function (Albrecht and Geisler, 1991; DeAngelis et al., 1993b; Heeger, 1993).”