low-rank matrices with noise and high
... AND HIGH-DIMENSIONAL SCALING B Y S AHAND N EGAHBAN AND M ARTIN J. WAINWRIGHT1,2 University of California, Berkeley We study an instance of high-dimensional inference in which the goal is to estimate a matrix ∗ ∈ Rm1 ×m2 on the basis of N noisy observations. The unknown matrix ∗ is assumed to be ei ...
... AND HIGH-DIMENSIONAL SCALING B Y S AHAND N EGAHBAN AND M ARTIN J. WAINWRIGHT1,2 University of California, Berkeley We study an instance of high-dimensional inference in which the goal is to estimate a matrix ∗ ∈ Rm1 ×m2 on the basis of N noisy observations. The unknown matrix ∗ is assumed to be ei ...
Section 6.1 - Canton Local
... If a matrix A has m rows and n columns, then A is said to be of order m by n (written m × n). The entry or element in the ith row and jth column is a real number and is denoted by the double-subscript notation aij. We can call aij the (i, j)th entry. ...
... If a matrix A has m rows and n columns, then A is said to be of order m by n (written m × n). The entry or element in the ith row and jth column is a real number and is denoted by the double-subscript notation aij. We can call aij the (i, j)th entry. ...
On the number of occurrences of a symbol in words of regular
... sense of the central or local limit theorem [11,1]. Our model allows in particular to analyse pattern statistics representing the number of words of a regular language in a random text generated by processes which are slightly more general than Markov processes (see Section 2.1). We now proceed to s ...
... sense of the central or local limit theorem [11,1]. Our model allows in particular to analyse pattern statistics representing the number of words of a regular language in a random text generated by processes which are slightly more general than Markov processes (see Section 2.1). We now proceed to s ...
Matrices
... zeroes. We denote zero matrix by O. (ix) Two matrices A = [aij] and B = [bij] are said to be equal if (a) they are of the same order, and (b) each element of A is equal to the corresponding element of B, that is, aij = bij for all i and j. ...
... zeroes. We denote zero matrix by O. (ix) Two matrices A = [aij] and B = [bij] are said to be equal if (a) they are of the same order, and (b) each element of A is equal to the corresponding element of B, that is, aij = bij for all i and j. ...
