Barca's attackers ruthlessly punished the German giants in Wednesday's (23.10.24) match - with Raphinha netting a hat-trick - and the coach admits that he and his team have some soul-searching to do after a second loss from three in Europe's elite competition.
Kompany said: "We lost, it was a clear defeat. We will stand together and learn from this defeat. The first goal is bitter. In the first half, I had the feeling for half an hour that we could win. Then the game changed with the second and third goals. But the right analysis will come in peace so that we can learn from it.
"I want to make a very precise analysis. I don't want to beat around the bush. We didn't find a solution to the counterattacks and the individual play of the three (Lewandowski, Yamal, Raphinha). We were a step too late in the decisive moments.
"There are no excuses. What's important is that we learn from this game. This game won't decide our season. Why there was such a big difference between the first and second half is something we need to look at."
Veteran forward Thomas Muller suggested that Bayern were afflicted by "a lack of confidence" during the match.
He told UEFA.com: "This obviously isn't a good feeling. We came here to win, but we lost 4-1, so there's a lot of work out there to do for us.
"We perhaps had a lack of confidence in the end because of the scoreline and because of how it seemed we played. When we look back and analyse it, we'll see that Barcelona had more good moments than us."