A recent question had some confusion about what costs can be paid using Improvise, mainly stemming from the confusing differences in representation between "colorless" and "generic" mana. However, the Rulings of Inspiring Statuary only indicate that it cannot be used to pay for costs requiring specifically a single color of mana or specifically colorless mana.
It seems pretty clear to me that Improvise would not be applicable to other costs requiring a specific type of mana, such as Hybrid, Phyrexian, or Snow mana, even though those symbols are not listed as "things Improvise can't pay", so the list in its ruling isn't complete. However, the "twobrid" mana costs blur the line between colored and generic costs by requiring "two generic or one specific color" of mana. To my knowledge the most famous card with this type of mana is Reaper King, though it would not be affected by Inspiring Statuary so Beseech the Queen or Spectral Procession might be more relevant.
If I am casting Beseech the Queen while I control Inspiring Statuary, can I cast it for {2 black mana + tap 2 artifacts}? Can I cast it for {2 black mana + 1 colorless mana + tap 1 artifact} (i.e. can the twobrid be split between mana and improvise)? Or does Improvise not apply at all because the spell has no "generic" component even though some of its costs could be paid with any color of mana? The Gatherer rulings on the subject are... odd, and I'm not certain I understand them even in normal situations.
(Note: The official term for this type of mana appears to be "monocolor hybrid", but I've heard "twobrid" a lot more)