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I like this prospect:

> Another unsolved problem where this approach shows promise is one of the most disturbing aspects of neural nets: No one really understands how they work. Training bits enter at one end and prediction bits emerge from the other, but what happens in between — the exact process that makes neural nets into such good guessers — remains a critical open question.

> Symbolic math, on the other hand, is decidedly less mysterious. “We know how math works,” said Charton. “By using specific math problems as a test to see where machines succeed and where they fail, we can learn how neural nets work.”




> “By using specific math problems as a test to see where machines succeed and where they fail, we can learn how neural nets work.”

XOR and Spiral benchmark was studied in neural networks since 70's.




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