2.2.2. recsys.utils.cy_utils.cy_calc_new_user_mean

recsys.utils.cy_utils.cy_calc_new_user_mean()

Calculate new user mean vector \(\mathbf{m}_{ui}^{*}\). The formula is described in the equation (6) of the obi-CTR paper.

Parameters

• user_mean (ndarray, shape = (n_latent_dims,)) – User mean vector \(\mathbf{m}_{ui}\).

• user_cov (ndarray, shape = (n_latent_dims,)) – Diagonals of user covariance matrix \(\Sigma_{ui}\).

• item_mean (ndarray, shape = (n_latent_dims,)) – Item mean vector \(\mathbf{m}_{vj}\).

• rating (int or float) – Rating given by the user \(i\) to the item \(j\).

• hypa_rat (int or float) – Prior of “rating” normal distribution \(\sigma_{r}^2\).

Returns

new_user_mean – New user mean vector \(\mathbf{m}_{ui}^{*}\).

Return type

ndarray, shape = (n_latent_dims,)