IEEE Transactions on Pattern Analysis and Machineâ€¦

2007

In this paper, based on ideas from lossy data coding and compression, we present a simple but effective technique for segmenting multivariate mixed data that are drawn from a mixture of Gaussianâ€¦ (More)

Recently many scientific and engineering applications have involved the challenging task of analyzing large amounts of unsorted high-dimensional data that have very complicated structures. From bothâ€¦ (More)

Hilbert proved that invariant rings are finitely generated for linearly reductive groups acting rationally on a finite dimensional vector space. Popov gave an explicit upper bound for the smallestâ€¦ (More)

Suppose that G is a linearly reductive group. Good degree bounds for generators of invariant rings were given in [2]. Here we study the minimal free resolution of the invariant ring. Recently it wasâ€¦ (More)

We show that several problems which are known to be undecidable for probabilistic automata become decidable for quantum finite automata. Our main tool is an algebraic result of independent interest:â€¦ (More)

We study the left-right action of SL n Ã— SL n on m-tuples of n Ã— n matrices with entries in an infinite field K. We show that invariants of degree n 2 âˆ’ n define the null cone. Consequently,â€¦ (More)