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In an FLM, each word is represented as a vector of factors containing information about the word.
X 1i represents the vector of factors that is likely to influence heavy episodic drinking, S i represents the average social capital indicators excluding the individual contribution, β j is the associated vector of coefficients, and ε i is the random error term.
So the N locations can be ranked by each individual with the best location for ε being max i ∈ N ε a ′ z i + 1 / 2 z i ′ B z i where z i is the vector of factors in location i. Figure 1 (Figure 1 location rank) shows the utility available to different individuals from locating in each of four different locations i = 1,..4.
The vector of factors is written as w = (x, z).
The overall model for p biclusters and additive noise is (1) where ϒ ∈ ℝ n × l is additive noise; λ i ∈ ℝ n and z i ∈ ℝ l are the sparse prototype vector and the sparse vector of factors of the i-th bicluster, respectively.
The vector λ corresponds to a prototype column vector that contains zeros for genes not participating in the bicluster, whereas z is a vector of factors with which the prototype column vector is scaled for each sample; clearly z contains zeros for samples not participating in the bicluster.
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For the technically minded Citi kindly explains it is using a logit regression model, expressed as: p i,t) = 1/1 + e(to the power of)- βx i,t) where: x i,t) is a vector of fundamental characteristics of the firm; β is a vector of factor sensitivities; p i,t) is the probability that a firm i will be conduct a rights issue in period t.
The objective of this section is to develop the equation that transforms the vector of consumer payments to the associated vector of factor payments in a single region.
where W is the vector of factor prices, K is the vector of other supply variables, and other variables remain as defined above.
Besides the vector, y, of domestic demand, we introduce F ∗, the matrix of factor input requirements per unit of output; the vector of factor endowments, f; and the vector of unit prices of factors, π.
We next define the n × 1 vector of consumer payments ( {mathbf{y}}_{mathbf{p}}=widehat{mathbf{p}}mathbf{y} ) and the k × 1 vector of factor receipts ( {boldsymbol{upvarphi}}_{boldsymbol{uppi}}=widehat{boldsymbol{uppi}}boldsymbol{upvarphi} ).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com