TY - JOUR
T1 - Vector space formulation of probabilistic finite state automata
AU - Wen, Yicheng
AU - Ray, Asok
N1 - Funding Information:
✩ This work has been supported in part by the US Office of Naval Research under Grant No. N00014-09-1-0688, and by the US Army Research Laboratory and the US Army Research Office under Grant No. W911NF-07-1-0376. * Corresponding author. E-mail addresses: ywen2000@gmail.com (Y. Wen), axr2@psu.edu (A. Ray). 1 Currently with General Electric, Louisville, KY, United States.
PY - 2012/7
Y1 - 2012/7
N2 - This paper develops a vector space model of a class of probabilistic finite state automata (PFSA) that are constructed from finite-length symbol sequences. The vector space is constructed over the real field, where the algebraic operations of vector addition and the associated scalar multiplication operations are defined on a probability measure space, and implications of these algebraic operations are interpreted. The zero element of this vector space is semantically equivalent to a PFSA, referred to as symbolic white noise. A norm is introduced on the vector space of PFSA, which provides a measure of the information content. An application example is presented in the framework of pattern recognition for identification of robot motion in a laboratory environment.
AB - This paper develops a vector space model of a class of probabilistic finite state automata (PFSA) that are constructed from finite-length symbol sequences. The vector space is constructed over the real field, where the algebraic operations of vector addition and the associated scalar multiplication operations are defined on a probability measure space, and implications of these algebraic operations are interpreted. The zero element of this vector space is semantically equivalent to a PFSA, referred to as symbolic white noise. A norm is introduced on the vector space of PFSA, which provides a measure of the information content. An application example is presented in the framework of pattern recognition for identification of robot motion in a laboratory environment.
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U2 - 10.1016/j.jcss.2012.02.001
DO - 10.1016/j.jcss.2012.02.001
M3 - Article
AN - SCOPUS:84858437533
VL - 78
SP - 1127
EP - 1141
JO - Journal of Computer and System Sciences
JF - Journal of Computer and System Sciences
SN - 0022-0000
IS - 4
ER -