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I read about SHA3 and would like to study its weak point,
Are there any cryptographic attacks on SHA3-based HMAC?

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No. Any such attack is yet to be discovered and would constitute a publishable result.

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There are many attacks on Keccak:

None of them are even close to actually breaking it in a practical way and they only apply to plain Keccak but the HMAC construction is known to be very resilient. Specifically HMAC-SHA1 and HMAC-MD5 seem to remain secure although neither MD5 nor SHA1 are.

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    $\begingroup$ None of them are close to breaking it even theoretically. They attack reduced round variants. $\endgroup$ – otus Jun 9 '17 at 4:29

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