Idealized computational models for auditory receptive fields
by
Tony Lindeberg(CB/CSC/KTH)
→
Europe/Stockholm
Fantum
Fantum
Description
We present a theory by which idealized models of auditory receptive fields
can be derived in a principled axiomatic manner, from a set of structural
properties to (i) enable invariance of receptive field responses under natural
sound transformations and (ii) ensure internal consistency between
spectro-temporal receptive fields at different temporal and spectral scales.
For defining a time-frequency transformation of a purely temporal sound signal,
it is shown that the framework allows for a new way of deriving the Gabor and
Gammatone filters as well as a novel family of generalized Gammatone filters,
with additional degrees of freedom to obtain different trade-offs between the
spectral selectivity and the temporal delay of time-causal temporal window functions.
When applied to the definition of a second-layer of receptive fields from a
spectrogram, it is shown that the framework leads to two canonical families
of spectro-temporal receptive fields, in terms of spectro-temporal derivatives
of either spectro-temporal Gaussian kernels for non-causal time or a cascade
of time-causal first-order integrators over the temporal domain and a Gaussian
filter over the logspectral domain. For each filter family, the spectro-temporal
receptive fields can be either separable over the time-frequency domain or be
adapted to local glissando transformations that represent variations in logarithmic
frequencies over time. Within each domain of either non-causal or time-causal
time, these receptive field families are derived by uniqueness from the assumptions.
It is demonstrated how the presented framework allows for computation of basic
auditory features for audio processing and that it leads to predictions about
auditory receptive fields with good qualitative similarity to biological receptive
fields measured in the inferior colliculus (ICC) and primary auditory cortex (A1)
of mammals.
This work is joint work with Anders Friberg at TMH
References:
Lindeberg and Friberg (2014) ``Idealized computational models for auditory receptive fields”,
PLOS ONE, 10(3):e0119032, pages 1-58, preprint at arXiv:1404.2037.
Lindeberg and Friberg (2015) ``Scale-space theory for auditory signals", Proc. SSVM 2015:
Scale-Space and Variational Methods in Computer Vision, Springer LNCS vol 9087,
pages 3-15, DOI:10.1007/978-3-319-18461-6_1, in press.
