how to approximate compute p(a|b, c) , using p(b|c), p(a|*, c), p(a), p(b), p(c)

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how to approximate compute p(a|b, c) , using p(b|c), p(a|*, c), p(a), p(b), p(c)

p(a|*, c), * means anythins.

p(a|*, c) = $\sum_i p(a|i, c) $

error = | p(a|b, c) - f(p(b|c), p(a|*, c), p(a), p(b), p(c)) |