E62 BME 140 Lecture Notes - Lecture 11: Multivariate Normal Distribution, Covariance Function, Gaussian Process
6 Nov 2015
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Semicircular canals: measure acceleration of the head, detects head motion. Frequency range of sensitivity: humans are most sensitive to frequencies from 2 to 4 khz. Normal ppl have a 50% detection rate of the bottom line of the equal loudness curves. Extension of gaussian distribution n(mu, sigma) to infinite dimensions. Characterized by mean function mu and covariance function k f is latent function we want to approximate. Given finite set of inputs x, f = f(x) is multivariate gaussian: p(f|x) = n(f;mu(x),k(x,x) Output variable: y user response (detected or undetected) Latent function variable: f; larger values = higher probability of detection. Over 28 million americans with significant hearing loss or deafness. Basilar membrane oscillates when traveling wave goes through it causes one to hear sound. Many points on cochlea at 7 fixed tone frequencies. Low frequencies registered at the end of the cochlea. High frequencies registered at the beginning of the cochlea.
