He likes to build things, to solve things, and he often talks about slicing apples as an "equation" -- a matrix of "variables" and "commonalities" that may never be fully controlled but, with enough persistence, can be made adequately algorithmic.
The screens virtually eliminate the trial and error that goes into achieving complicated stitch patterns, displaying a matrix of variables that includes stitch width and length, thread tension, sewing speed and presser-foot pressure.
Partial least-squares regression analysis: A statistical strategy to connect a matrix of variables (X) to a matrix of responses (Y).
We assumed a linear model described in matrix notation as y = Xβ + F where, X is a matrix of independent variables, and y is some response variable to be predicted.
PLS finds a quantitative relationship between a matrix of independent variables X and one or several response variables (y vector or matrix) by simultaneously projecting X and y to latent structures (PLS components) [29].
Partial least squares regression is a statistical method that links a matrix of independent variables, X, with a matrix of dependent variables, Y, i.e. the nucleotide sequence and the promoter strength, respectively.
Consider the ordinary least squares (OLS) regression model given by y i = a 0 + ∑ k a k x ik + e i, where e i is the error term, a represents the vector of global parameters to be estimated, x is a matrix of independent variables and y represents a vector of observations on the dependent variable.
In order to distinguish informative variables from uninformative, an experimental data matrix X (m × n) is augmented with a matrix of noisy variables, N. The noise matrix, N, contains the normally distributed random numbers of a small amplitude (m × n*).
In vector matrix, the equation for least square fit is given by: Y = Xalpha + delta (3)where Y is defined as the measured values and X to be a matrix of independent variables.
Where Y i is the dependent variable that takes a value of 1 for the i-th household who collect NTFP from FGR and 0 if otherwise, X i is a matrix of explanatory variables related to collection and utilization of NTFPs βik are the vector of parameters to be estimated and ε i is the error term with a logistic distribution.
Subscript i and t denote country and year respectively, Y it are the migration variables of interest (i.e. skilled migration m i,t h, unskilled migration m i,t l, total migration m i,t k, and selection rate s i,t ), Aid it is the ratio of international aid on Gross Domestic Product (GDP), X it is a matrix of control variables and δ i and τ t are the individual and time fixed effects respectively.
