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SAP HANA Predictive Analysis Library (PAL)

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In the training set, let N be the number of samples, X∈R N×P be the features where X i,p is the p-th feature of the<br />

i-th sample, and y∈R N be the labels where y i ∈{1, 2, ..., K} is the label of the i-th sample. The output of<br />

the training phase is denoted as W * ∈R (P+1)×K , where<br />

(p ≤ P) corresponds the weight of the p-th feature<br />

for the k-th class, and<br />

following optimization problem:<br />

corresponds the constant for the k-th class. W * is obtained by solving the<br />

Testing Phase<br />

In the testing set, let be the number of samples, ∈R N×P be the features where is the p-th feature of<br />

the i-th sample. Let be the unknown labels where is the label of the i-th<br />

sample, and be the prediction confidences of the prediction where is the confidence (likelihood) of the i-<br />

th sample. , are computed as follows,<br />

LRMCTR<br />

This is the algorithm for the training phase.<br />

Procedure Generation<br />

CALL SYS.AFLLANG_WRAPPER_PROCEDURE_CREATE (‘AFL<strong>PAL</strong>’, ‘LRMCTR’, ‘’,<br />

'', );<br />

180 P U B L I C<br />

<strong>SAP</strong> <strong>HANA</strong> <strong>Predictive</strong> <strong>Analysis</strong> <strong>Library</strong> (<strong>PAL</strong>)<br />

<strong>PAL</strong> Functions

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