Anthony Martial's classy second half strike was the difference between the two sides on another day when the Clarets deserved more.
“I'm frustrated because I want to win and so do my players. But we are playing a clutch of top sides at the moment and we're so close. That's not just frustrating; it's annoying," said Dyche.
“We've had injuries and suspensions, and the thing that can be forgotten is the quality of opposition.
“The margins are so tight and they've scored a fine goal today through a great finish, but you have to look at the performance levels and I was so, so pleased.
“We are definitely a team that has improved, in my opinion. You can't play like that as regularly as we have, against some of these sides, without seeing how far we've come.
“We are not just hanging into games. We are taking them on and I have been really pleased with that."