A36 Bonanza pilot reported a loss of power during cruise. During descent to diversion airport; power returned and aircraft landed without incident.

Narrative

On Day 0 I departed ZZZ on a IFR flight to ZZZ1 filed for 17000 feet. I was flying a A36 Bonanza with a tornado alley turbo conversion. As I passed 14400 feet east of City X I lost power for unknown reason. I contacted the controller and advised I need vectors to the nearest airport and that I had a power lost possibly from iced fuel. The outside temp was -20c. The control asked if I wanted to request priority handling and I said yes. I was given vectors to ZZZ2. At about 12000 feet in my decent power returned due to higher air density and me leaning the engine. At this point I was sure it was not a fuel problem rather it was a turbo leak from an exhaust manifold or an induction leak. I was able to land the plane at ZZZ2 without incident. I then called ATC to confirm with ATC I was on the ground and safe. On the ground I checked the left and right wing fuel tanks including the center fuselage drain for water and none was found. I did the fuel check again with the same result. I then checked all the exhaust pipes and manifolds and did not find any problems. Last; I checked all induction hoses from the turbo output to the intercooler and fuel servo and found a coupling hose which backed off an induction crossover pipe behind the engine. I repositioned the hose and tightened the clamp. After a power runup the engine acted normally making correct manifold pressure of 29 inches with correct fuel flows. The 100LL fuel pumps at ZZZ2 did not work and there were no staff so I took off and repositioned at ZZZ3 where their pumps worked to fuel up with 100LL. The plane operated normally. After fueling at ZZZ3 I departed for ZZZ after again checking performance in the climb to 11.500 feet for ZZZ. I kept the plane 11;500 feet and at reduced power levels without further incident. After arrival in ZZZ; I asked my IA (Inspection Authority) [Mechanic] to check the plane and the induction hose attachment and he did. We inspected the hose coupling and replaced the hose clamps with new preventing further issues.