Yao, G., and H. Jakubowicz, 2016, Least-squares reverse-time migration in a matrix-based formulation: Geophysical Prospecting, 64, 611-621, doi: 10 .1111/1365-2478.12305.Least-squares reverse-time migration in a matrix-based formulation. Yao G,Jakubowicz H. Geophysical Prospecting . 2015...
WhereMιMιis a orthogonal projection matrix andιιis a column of ones andIIis the identity matrix of sizenn. The Explained Sum of Squares is defined in C.3.17, but I will start from a more familiar definition so it makes more sense how the author ended up there. ∑i=1n(yi^−y...
In matrix notation we have data (y,X)(y,X) and we consider the model y=Xβ+uy=Xβ+u where for the moment we only assume that the regressor matrix contains a series of ones, so that we can safely assume that the "error term" uu has zero mean. We do not as yet make any stat...
A 3 x 3 magic square is a 3 x 3 grid filled with distinct numbers from 1 to 9 such that each row, column, and both diagonals all have the same sum. Given angridof integers, how many 3 x 3 "magic square" subgrids are there? (Each subgrid is contiguous). Example 1: Input: [...
SA Vavasis - 《Siam Journal on Matrix Analysis & Applications》 被引量: 91发表: 1994年 An introduction to stochastic processes and non-equilibrium statistical physics Formation and propagation of patterns in far from equilibrium systems: Reaction-diffusion descriptions and pattern formation; Pattern pro...
Form the Cholesky decomposition: X′X=LL′ where L is a unique lower-triangular matrix. Then returning to (*), one has LL′θ=X′Y . Let Z=L′θ and solve: LZ=X′Y . Then solve L′θ=Z , given L′ and Z . Due to the triangular forms of L and L′ (forward and ...
Filter that sums the squared values of pixels in a region.C# Αντιγραφή [Foundation.Register("MPSImageIntegralOfSquares", true)] [ObjCRuntime.Introduced(ObjCRuntime.PlatformName.iOS, 9, 0, ObjCRuntime.PlatformArchitecture.All, null)] [ObjCRuntime.Introduced(ObjCRuntime....
A constrained alternating least squares nonnegative matrix factorization algorithm enhances task-related neuronal activity detection from single subject's ... This paper proposes a constrained alternating least squares nonnegative matrix factorization algorithm (cALSNMF) to enhance alternating least squares non...
The algorithm generates strictly feasible iterates converging, in the limit, to a local solution. Each iteration involves the approximate solution of a large linear system (of order n, where n is the length of x). The iteration matrices have the structure of the matrix C. In particular, ...
Expects arrays of arrays, and will return an array of arrays in the dimension B num cols x A num cols. Uses QR or LQ factorisation on matrix A. 参数 a Matrix A b Matrix B 返回值 Array of the solution matrix 范例 Example #1 Using Lapack::leastSquaresByFactorisation(): <?php $a...