@article {Layton:August 2007:0922-5773:67, author = "Layton, Martin", author = "Gales, Mark", title = "Acoustic Modelling Using Continuous Rational Kernels", journal = "The Journal of VLSI Signal Processing", volume = "48", year = "August 2007", abstract = "Many discriminative classification algorithms are designed for tasks where samples can be represented by fixed-length vectors. However, many examples in the fields of text processing, computational biology and speech recognition are best represented as variable-length sequences of vectors. Although several dynamic kernels have been proposed for mapping sequences of discrete observations into fixed-dimensional feature-spaces, few kernels exist for sequences of continuous observations. This paper introduces continuous rational kernels, an extension of standard rational kernels, as a general framework for classifying sequences of continuous observations. In addition to allowing new task-dependent kernels to be defined, continuous rational kernels allow existing continuous dynamic kernels, such as Fisher and generative kernels, to be calculated using standard weighted finite-state transducer algorithms. Preliminary results on both a large vocabulary continuous speech recognition (LVCSR) task and the TIMIT database are presented.", pages = "67-82(16)", url = "http://www.ingentaconnect.com/content/klu/vlsi/2007/00000048/F0020001/00000027" doi = "doi:10.1007/s11265-006-0027-4" }