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Deflation Method for CANDECOMP/PARAFAC Tensor Decomposition
CANDECOMP/PARAFAC tensor decomposition (CPD) approximates multiway data by rank-1 tensors. Unlike matrix decomposition, the procedure which estimates the best rank-R tensor approximation through R sequential best rank-1 approximatio...
BB - Aplikovaná statistika, operační výzkum
- 2014 •
- D •
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Rok uplatnění
D - Stať ve sborníku
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Stability of CANDECOMP-PARAFAC tensor decomposition
In this paper, stability of the CANDECOMP-PARAFAC (CP) tensor decomposition is addressed. It is done by deriving the Cramer-Rao lower bound (CRLB) on variance of an unbiased estimate of the tensor parameters, i.e. elements of its fa...
BB - Aplikovaná statistika, operační výzkum
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Rank Splitting for CANDECOMP/PARAFAC
CANDECOMP/PARAFAC (CP) approximates multiway data by a sum of rank-1 tensors. Our recent study has presented a method to rank-1 tensor deflation, i.e. sequential extraction of rank-1 tensor components. In this paper, we extend the m...
BB - Aplikovaná statistika, operační výzkum
- 2015 •
- D •
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Tensor Deflation for CANDECOMP/PARAFAC - Part II: Initialization and Error Analysis
In Part I of the study of the tensor deflation for CANDECOMP/PARAFAC, we have shown that the rank-1 tensor de- flation is applicable under some conditions. Part II of the study presents several initialization algorithms suitable for...
BB - Aplikovaná statistika, operační výzkum
- 2015 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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A Further Improvement of a Fast Damped Gauss?Newton Algorithm for CANDECOMP-PARAFAC Tensor Decomposition
In this paper, a novel implementation of the damped Gauss-Newton algorithm (also known as Levenberg-Marquart) for the CANDECOMP-PARAFAC (CP) tensor decomposition is proposed. The method is based on a fast inversion of the approximat...
BB - Aplikovaná statistika, operační výzkum
- 2013 •
- D
Rok uplatnění
D - Stať ve sborníku
Cramér-Rao-Induced Bounds for CANDECOMP/ PARAFAC Tensor Decomposition
This paper presents a Cramér-Rao lower bound (CRLB) on the variance of unbiased estimates of factor matrices in Canonical Polyadic (CP) or CANDECOMP/PARAFAC (CP) decompositions of a tensor from noisy observations, (i.e., the tensor ...
BB - Aplikovaná statistika, operační výzkum
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Probabilistic inference with noisy-threshold models based on a CP tensor decomposition
. Such decomposition is referred to as Canonical Polyadic (CP)or CANDECOMP-PARAFAC (CP...
JD - Využití počítačů, robotika a její aplikace
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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CANDECOMP/PARAFAC Decomposition of High-Order Tensors Through Tensor Reshaping
In general, algorithms for order-3 CANDECOMP/ PARAFAC (CP), also coined canonical polyadic decomposition (CPD), are easy to implement and can be extended to higher order CPD. Unfortunately, the algorithms become computationally dema...
BB - Aplikovaná statistika, operační výzkum
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Low Complexity Damped Gauss-Newton algorithms for CANDECOMP/PARAFAC
The damped Gauss-Newton (dGN) algorithm for CANDECOMP/PARAFAC (CP) decomposition can handle the challenges of factors and different magnitudes of factors; nevertheless, for factorization of an order-N tensor of size I_1I_2 I_N with ...
BB - Aplikovaná statistika, operační výzkum
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Fast Alternating LS Algorithms for High Order CANDECOMP/PARAFAC Tensor Factorizations
CANDECOMP/PARAFAC (CP) has found numerous applications in wide variety of areas such as in chemometrics, telecommunication, data mining, neuroscience, separated representations. For an order- tensor, most CP algorithms can be comput...
BB - Aplikovaná statistika, operační výzkum
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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