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ICDM
2002
IEEE
111views Data Mining» more  ICDM 2002»
13 years 10 months ago
An Algebraic Approach to Data Mining: Some Examples
In this paper, we introduce an algebraic approach to the foundations of data mining. Our approach is based upon two algebras of functions de ned over a common state space X and a ...
Robert L. Grossman, Richard G. Larson
CDC
2008
IEEE
123views Control Systems» more  CDC 2008»
13 years 12 months ago
Fast state estimation in linear time-varying systems: An algebraic approach
— In this note, an algebraic approach for state estimation of linear time-varying (LTV) systems is introduced. This approach is based on the following mathematical tools: Laplace...
Yang Tian, Thierry Floquet, Wilfrid Perruquetti
SYMMETRY
2010
124views more  SYMMETRY 2010»
13 years 2 days ago
SU(2) and SU(1, 1) Approaches to Phase Operators and Temporally Stable Phase States: Applications to Mutually Unbiased Bases and
: We propose a group-theoretical approach to the generalized oscillator algebra A recently investigated in J. Phys. A: Math. Theor. 2010, 43, 115303. The case 0 corresponds to th...
Natig M. Atakishiyev, Maurice R. Kibler, Kurt Bern...
CDC
2009
IEEE
168views Control Systems» more  CDC 2009»
13 years 10 months ago
Balanced state-space representations: a polynomial algebraic approach
Abstract— We show how to compute a minimal Riccatibalanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly...
Paolo Rapisarda, Harry L. Trentelman
IMA
2005
Springer
111views Cryptology» more  IMA 2005»
13 years 11 months ago
An Algebraic Framework for Cipher Embeddings
In this paper we discuss the idea of block cipher embeddings and consider a natural algebraic framework for such constructions. In this approach we regard block cipher state spaces...
Carlos Cid, Sean Murphy, Matthew J. B. Robshaw