Patent ID: 11867690
Assignee: ASEDASCIENCES AG
Field: Measurement (Instruments)
Classification: CPC G | IPC G

Claim 14:
15. The data storage and retrieval system for a non-transitory computer readable storage medium of claim 1, wherein the multiparametric tensor A is decomposed into either one or both of:
(a) a set of rank-one tensors A(i), wherein, A
   =
   
    
     [
     
      [
      
       
        λ
        ;
        
         A
         
          (
          1
          )
         
        
       
       ,
       
        A
        
         (
         2
         )
        
       
       ,
       …
       ,
       
        A
        
         (
         n
         )
        
       
      
      ]
     
     ]
    
    =
    
     
      ∑
      
       r
       =
       1
      
      R
     
      
     
      
       λ
       r
      
      ⁢
      
       
        a
        r
        
         (
         1
         )
        
       
       ∘
       
        a
        r
        
         (
         2
         )
        
       
       ∘
       ⋯
        
       ∘
       
        a
        r
        
         (
         p
         )
        
       
      
     
    
   
  
  ,, and
(b) a core tensor G multiplied by a matrix M(j) along each mode:, A
  =
  
   
    [
    
     [
     
      
       G
       ;
       
        M
        
         (
         1
         )
        
       
      
      ,
      
       M
       
        (
        2
        )
       
      
      ,
      …
      ,
      
       M
       
        (
        p
        )
       
      
     
     ]
    
    ]
   
   =
   
    
     ∑
     
      
       r
       1
      
      =
      1
     
     
      R
      1
     
    
     
    
     
      ∑
      
       
        r
        2
       
       =
       1
      
      
       R
       2
      
     
      
     
      ⋯
      ⁢
      
       
        ∑
        
         
          r
          p
         
         =
         1
        
        
         R
         p
        
       
       
        
         g
         
          
           r
           1
          
          ⁢
          
           r
           2
          
          ⁢
          
           
            …
            ⁢
            r
           
           p
          
         
        
        ⁢
        
         
          
           m
           
            r
            1
           
           
            (
            1
            )
           
          
          ∘
          
           m
           
            r
            2
           
           
            (
            2
            )
           
          
          ∘
          ⋯
          ∘
          
           m
           
            r
            N
           
           
            (
            p
            )
           
          
         
         .