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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def hybrid_forward(self, F, center, context, center_words):
 """SkipGram forward pass. Parameters center : mxnet.nd.NDArray or mxnet.sym.Symbol Sparse CSR array of word / subword indices of shape (batch_size, len(token_to_idx) + num_subwords). Embedding for center words are computed via F.sparse.dot between the CSR center array and the weight matrix. context : mxnet.nd.NDArray or mxnet.sym.Symbol Dense array of context words of shape (batch_size, ). Also used for row-wise independently masking negatives equal to one of context. center_words : mxnet.nd.NDArray or mxnet.sym.Symbol Dense array of center words of shape (batch_size, ). Only used for row-wise independently masking negatives equal to one of center_words. """


        # negatives sampling
        negatives = []
        mask = []
        for _ in range(self._kwargs['num_negatives']):
            negatives.append(self.negatives_sampler(center_words))
            mask_ = negatives[-1] != center_words
            mask_ = F.stack(mask_, (negatives[-1] != context))
            mask.append(mask_.min(axis=0))

        negatives = F.stack(*negatives, axis=1)
        mask = F.stack(*mask, axis=1).astype(np.float32)

        # center - context pairs
        emb_center = self.embedding(center).expand_dims(1)
        emb_context = self.embedding_out(context).expand_dims(2)
        pred_pos = F.batch_dot(emb_center, emb_context).squeeze()
        loss_pos = (F.relu(pred_pos) - pred_pos + F.Activation(
            -F.abs(pred_pos), act_type='softrelu')) / (mask.sum(axis=1) + 1)

        # center - negatives pairs
        emb_negatives = self.embedding_out(negatives).reshape(
            (-1, self._kwargs['num_negatives'],
             self._kwargs['output_dim'])).swapaxes(1, 2)
        pred_neg = F.batch_dot(emb_center, emb_negatives).squeeze()
        mask = mask.reshape((-1, self._kwargs['num_negatives']))
        loss_neg = (F.relu(pred_neg) + F.Activation(
            -F.abs(pred_neg), act_type='softrelu')) * mask
        loss_neg = loss_neg.sum(axis=1) / (mask.sum(axis=1) + 1)

        return loss_pos + loss_neg