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19-498: [REDACTED] Look up Tucker  or tucker in Wiktionary, the free dictionary. Tucker may refer to: Places [ edit ] United States [ edit ] Tucker, Arkansas Tucker, Georgia Tucker, Mississippi Tucker, Missouri Tucker, Utah , ghost town Tucker County, West Virginia Outer space [ edit ] Tucker (crater) ,

38-1075: A 3rd-order tensor T ∈ F n 1 × n 2 × n 3 {\displaystyle T\in F^{n_{1}\times n_{2}\times n_{3}}} , where F {\displaystyle F} is either R {\displaystyle \mathbb {R} } or C {\displaystyle \mathbb {C} } , Tucker Decomposition can be denoted as follows, T = T × 1 U ( 1 ) × 2 U ( 2 ) × 3 U ( 3 ) {\displaystyle T={\mathcal {T}}\times _{1}U^{(1)}\times _{2}U^{(2)}\times _{3}U^{(3)}} where T ∈ F d 1 × d 2 × d 3 {\displaystyle {\mathcal {T}}\in F^{d_{1}\times d_{2}\times d_{3}}}

57-614: A Shetland pony in the film, Racing Stripes Tucker's, the club in the Black Mirror episode, "San Junipero", where Yorkie and Kelly first meet Film and television [ edit ] Tucker: The Man and His Dream , film about Preston Tucker Tucker (2000 TV series) , a 2000–2001 American television series that aired on NBC Tucker (2005 TV program) , a 2005–2008 American television program, previously called The Situation with Tucker Carlson , hosted by Tucker Carlson that aired on MSNBC Tucker Carlson Tonight ,

76-555: A Shetland pony in the film, Racing Stripes Tucker's, the club in the Black Mirror episode, "San Junipero", where Yorkie and Kelly first meet Film and television [ edit ] Tucker: The Man and His Dream , film about Preston Tucker Tucker (2000 TV series) , a 2000–2001 American television series that aired on NBC Tucker (2005 TV program) , a 2005–2008 American television program, previously called The Situation with Tucker Carlson , hosted by Tucker Carlson that aired on MSNBC Tucker Carlson Tonight ,

95-535: A practitioner of fulling , a step in the processing of woolen cloth Bush tucker , Australian expression for food obtained from native plants and animals Tucker bag , tucker box, historically used by travelers in the Australian outback Tucker decomposition , mathematical decomposition for tensors Tuckerization , act of using a person's name in an original story as an in-joke Tucker Act , United States sovereign immunity statute Topics referred to by

114-476: A practitioner of fulling , a step in the processing of woolen cloth Bush tucker , Australian expression for food obtained from native plants and animals Tucker bag , tucker box, historically used by travelers in the Australian outback Tucker decomposition , mathematical decomposition for tensors Tuckerization , act of using a person's name in an original story as an in-joke Tucker Act , United States sovereign immunity statute Topics referred to by

133-598: A small lunar impact crater in the southern part of the Mare Smythii People [ edit ] Tucker (given name) , a page for people with the given name "Tucker" Tucker (surname) , a page for people with the last name "Tucker" Tucker (American wrestler) Tucker (Northern Irish wrestler) Art, entertainment, and media [ edit ] Fictional entities [ edit ] See also: Tucker (surname) § Fictional entities , and Tucker (given name) § Fictional characters Tucker,

152-527: A small lunar impact crater in the southern part of the Mare Smythii People [ edit ] Tucker (given name) , a page for people with the given name "Tucker" Tucker (surname) , a page for people with the last name "Tucker" Tucker (American wrestler) Tucker (Northern Irish wrestler) Art, entertainment, and media [ edit ] Fictional entities [ edit ] See also: Tucker (surname) § Fictional entities , and Tucker (given name) § Fictional characters Tucker,

171-785: Is d 1 = d 2 = d 3 = min ( n 1 , n 2 , n 3 ) {\displaystyle d_{1}=d_{2}=d_{3}=\min(n_{1},n_{2},n_{3})} , which can be effective when the difference in dimension sizes is large. There are two special cases of Tucker decomposition: Tucker1 : if U ( 2 ) {\displaystyle U^{(2)}} and U ( 3 ) {\displaystyle U^{(3)}} are identity, then T = T × 1 U ( 1 ) {\displaystyle T={\mathcal {T}}\times _{1}U^{(1)}} Tucker2 : if U ( 3 ) {\displaystyle U^{(3)}}

190-695: Is denoted as T × U ( k ) {\displaystyle {\mathcal {T}}\times U^{(k)}} with entries as Altogether, the decomposition may also be written more directly as Taking d i = n i {\displaystyle d_{i}=n_{i}} for all i {\displaystyle i} is always sufficient to represent T {\displaystyle T} exactly, but often T {\displaystyle T} can be compressed or efficiently approximately by choosing d i < n i {\displaystyle d_{i}<n_{i}} . A common choice

209-556: Is different from Wikidata All article disambiguation pages All disambiguation pages Tucker [REDACTED] Look up Tucker  or tucker in Wiktionary, the free dictionary. Tucker may refer to: Places [ edit ] United States [ edit ] Tucker, Arkansas Tucker, Georgia Tucker, Mississippi Tucker, Missouri Tucker, Utah , ghost town Tucker County, West Virginia Outer space [ edit ] Tucker (crater) ,

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228-464: Is different from Wikidata All article disambiguation pages All disambiguation pages Tucker decomposition It may be regarded as a more flexible PARAFAC (parallel factor analysis) model. In PARAFAC the core tensor is restricted to be "diagonal". In practice, Tucker decomposition is used as a modelling tool. For instance, it is used to model three-way (or higher way) data by means of relatively small numbers of components for each of

247-473: Is identity, then T = T × 1 U ( 1 ) × 2 U ( 2 ) {\displaystyle T={\mathcal {T}}\times _{1}U^{(1)}\times _{2}U^{(2)}} . RESCAL decomposition can be seen as a special case of Tucker where U ( 3 ) {\displaystyle U^{(3)}} is identity and U ( 1 ) {\displaystyle U^{(1)}}

266-1054: Is the core tensor , a 3rd-order tensor that contains the 1-mode, 2-mode and 3-mode singular values of T {\displaystyle T} , which are defined as the Frobenius norm of the 1-mode, 2-mode and 3-mode slices of tensor T {\displaystyle {\mathcal {T}}} respectively. U ( 1 ) , U ( 2 ) , U ( 3 ) {\displaystyle U^{(1)},U^{(2)},U^{(3)}} are unitary matrices in F d 1 × n 1 , F d 2 × n 2 , F d 3 × n 3 {\displaystyle F^{d_{1}\times n_{1}},F^{d_{2}\times n_{2}},F^{d_{3}\times n_{3}}} respectively. The k -mode product ( k = 1, 2, 3) of T {\displaystyle {\mathcal {T}}} by U ( k ) {\displaystyle U^{(k)}}

285-629: The Fox News program formerly hosted by Tucker Carlson Tucker's Luck , a British television series starring Todd Carty as Tucker that aired on BBC Brands and enterprises [ edit ] Tucker 48 , also nicknamed "Tucker Torpedo", a 1948 sedan automobile Tucker Sno-Cat , manufacturer of snowcats Ships [ edit ] USS Henry W. Tucker , name of more than one United States Navy ship USS Tucker , name of more than one United States Navy ship Other uses [ edit ] Tucker (dog) , scat detection dog Tucker,

304-573: The Fox News program formerly hosted by Tucker Carlson Tucker's Luck , a British television series starring Todd Carty as Tucker that aired on BBC Brands and enterprises [ edit ] Tucker 48 , also nicknamed "Tucker Torpedo", a 1948 sedan automobile Tucker Sno-Cat , manufacturer of snowcats Ships [ edit ] USS Henry W. Tucker , name of more than one United States Navy ship USS Tucker , name of more than one United States Navy ship Other uses [ edit ] Tucker (dog) , scat detection dog Tucker,

323-565: The same term [REDACTED] This disambiguation page lists articles associated with the title Tucker . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Tucker&oldid=1190648517 " Categories : Disambiguation pages Place name disambiguation pages Disambiguation pages with given-name-holder lists English masculine given names Masculine given names Hidden categories: Short description

342-565: The same term [REDACTED] This disambiguation page lists articles associated with the title Tucker . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Tucker&oldid=1190648517 " Categories : Disambiguation pages Place name disambiguation pages Disambiguation pages with given-name-holder lists English masculine given names Masculine given names Hidden categories: Short description

361-416: The three or more modes, and the components are linked to each other by a three- (or higher-) way core array. The model parameters are estimated in such a way that, given fixed numbers of components, the modelled data optimally resemble the actual data in the least squares sense. The model gives a summary of the information in the data, in the same way as principal components analysis does for two-way data. For

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