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2002
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13 years 4 months ago
Polyadic Concept Analysis
The framework and the basic results of Wille on triadic concept analysis, including his Basic Theorem of Triadic Concept Analysis, are here generalized to n-dimensional formal cont...
George Voutsadakis
NDJFL
2010
12 years 12 months ago
Polyadic Quantification via Denoting Concepts
The question of the origin of polyadic expressivity is explored and the results are brought to bear on Bertrand Russell's 1903 theory of denoting concepts, which is the main o...
Ori Simchen
CIKM
2008
Springer
13 years 7 months ago
Probabilistic polyadic factorization and its application to personalized recommendation
Multiple-dimensional, i.e., polyadic, data exist in many applications, such as personalized recommendation and multipledimensional data summarization. Analyzing all the dimensions...
Yun Chi, Shenghuo Zhu, Yihong Gong, Yi Zhang
ICASSP
2011
IEEE
12 years 8 months ago
Computing the nonnegative 3-way tensor factorization using Tikhonov regularization
This paper deals with the minimum polyadic decomposition of a nonnegative three-way array. The main advantage of the nonnegativity constraint is that the approximation problem bec...
Jean-Philip Royer, Pierre Comon, Nadège Thi...
ICASSP
2011
IEEE
12 years 8 months ago
Nonnegative 3-way tensor factorization via conjugate gradient with globally optimal stepsize
This paper deals with the minimal polyadic decomposition (also known as canonical decomposition or Parafac) of a 3way array, assuming each entry is positive. In this case, the low...
Jean-Philip Royer, Pierre Comon, Nadège Thi...