# What model can solve vector to vector prediction?

I am totally newbie into serial prediction. I am think about which model or AI paradigm can be used to do vector to vector prediction?

For instance, [1,0,1] ^ [0,1,0] = [1,1,1] Another example could be: [1,0,1]^[0,1,0]^[1,1,0]^... = [RESULT]

(I have to say that this example is not proper enough, because obviously we can use a multi-layer model to simply learn the rule of XOR operation with 100% accuracy, but I think it still can indicate what I want. The point is multi-dimensional input and figure out a non-linear rule. Let's say each row vector can be a row of a matrix, I want to find some pattern across each column entries.)

Another better example: [[1,2,3], [4,5,6], [7,8,9]] => [10,3,8]

I know seq2seq model, to some extend can do this job, so as pointer network. But I am just skeptical on my knowledge in this RNN area. And I do need some help.

For the record, I think what I want is different from stock prediction or word prediction or sentence classification. My argue is that these tasks will need an embedding layer to output a one-hot or whatever vectorization and feed the embedding to the model.

But my original input has already been vectors. I did try to feed those vectors as an embedding to the model. But theoretically, it does not make sense to me. And it did not work under my practice.

Yes, I dare to share my code. Please be easy on me.

    # model structure
model = keras.Sequential()
# The output of GRU will be a 3D tensor of shape (batch_size, timesteps, 256)
# The output of SimpleRNN will be a 2D tensor of shape (batch_size, 128)

# build model
model.compile(optimizer=opt, loss="binary_crossentropy", metrics=[BinaryAccuracy()])
model.summary()
# A_input = A_input.reshape(1, node_size, node_size)
# label = label.reshape(1, node_size)

# train
model.fit(A_input, label, epochs=200, batch_size=10, validation_split=0.3)
$$$$


Taking the example you provided, you can use a simple RNN or any Seq-Seq architecture. Your input should be of the shape (BATCH_SIZE, NO_OF_TIMESTEPS, FEATURES_AT_EACH_TIMESTEP). So, you basically need to reformat your input as arr = np.array([[1,4,7], [2,5,8], [3,6,9]]) - This assuming that 1,4,7 are representing different set of features at the same time-step (or same dim of diff vectors). Your training output (Y) would be of the shape (BATCH_SIZE, TIME_STEPS) OR arr_y = np.array([[10, 3, 8]]) Then, you can have the model predict the output for the next 3 time-steps (or 3 dimensions of the vector). Note that, in your case you are not really constraining the model to look at the link [TF_simpleRNN]. Note that you need to use return_sequences=True and use a single unit as the output