%Aigaion2 BibTeX export from Idiap Publications %Thursday 21 November 2024 11:40:10 AM @TECHREPORT{barber:rr05-87, author = {Barber, David}, projects = {Idiap}, title = {Efficient Kalman Smoothing for Harmonic State-Space Models}, type = {Idiap-RR}, number = {Idiap-RR-87-2005}, year = {2005}, institution = {IDIAP}, abstract = {Harmonic probabilistic models are common in signal analysis. Framed as a linear-Gaussian state-space model, smoothed inference scales as $O(TH^2)$ where $H$ is twice the number of frequencies in the model and $T$ is the length of the time-series. Due to their central role in acoustic modelling, fast effective inference in this model is of some considerable interest. We present a form of `rotation-corrected' low-rank approximation for the backward pass of the Rauch-Tung-Striebel smoother. This provides an effective approximation with computation complexity $O(TSH)$ where $S$ is the rank of the approximation.}, pdf = {https://publications.idiap.ch/attachments/reports/2005/barber-idiap-rr-05-87.pdf}, postscript = {ftp://ftp.idiap.ch/pub/reports/2005/barber-idiap-rr-05-87.ps.gz}, ipdmembership={learning}, }