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Dec 27, 2022 at 16:25 comment added eric_kernfeld It would be really nice to see even a length-3 example where I give you an arbitrary RNN with different weights for 0 to 1 and 1 to 2 and you give me back an RNN that imitates it but using the same weights for 0 to 1 and 1 to 2. I suspect the imitator would need to be deeper or wider per-layer than the original, which makes this less of a free lunch and more of a tradeoff about adding complexity within vs between layers.
Dec 27, 2022 at 16:13 comment added eric_kernfeld This is a fascinating comment, and it's nicely complementary to the other explanations on this thread. Do you have a reference, or could you explain how this works?
Feb 4, 2017 at 20:21 comment added Hossein The RNNs are used to process sequence of data. One of their commonest types gets a sequence as input and produces another sequence as output (such as language translation systems). I say that an RNN model family M1 is more powerful than another RNN model family M2, if for a problem (such as mapping a set of input sequences to a set of output sequences) there is some model m1 in M1 where can solve this problem but there is no model in M2 where can solve that problem.
Feb 4, 2017 at 17:27 comment added whuber Could you elaborate on what you mean by "powerful"? The reference to Turing Machines suggests what you have in mind may be completely different than what is meant in statistics.
Feb 4, 2017 at 16:59 review Late answers
Feb 4, 2017 at 17:27
Feb 4, 2017 at 16:33 history answered Hossein CC BY-SA 3.0