However, Edinburgh succumbed to their biggest home defeat in Europe, the 45-0 drubbing surpassing an 8-47 loss to Northampton in December 1999.
Saracens doubled their try tally for the entire season by notching five unanswered touchdowns, and Brown believes he and his team-mates need to move on quickly.
"The only way is up - there are a lot of improvements to make," he told the Edinburgh Evening News.
"There are no excuses. We should have been implementing our game and we don't feel we did that. We didn't put enough pressure on them.
"They played their game really well and pushed us back into our own half and into the corners. They had a very good kick and chase which is hard to play against.
"They played the right areas. They got up in our faces with a good defence. They were pushing in on us. That is something we have to react to on the pitch.
"It's highly frustrating. You go in on such a high looking forward to the game for weeks, but end up with huge disappointment.
"All we can do is build and get back to where we were. We have to get the winning mentality back and put other teams under more pressure."
Edinburgh are on the road this coming week as they travel to Munster for the second round of the Heineken Cup.
And despite the heavy defeat to Mark McCall's Saracens, Brown believes a result at Thomond Park could set up the rest of their season.
"We have to look to when things went right for us in the past such as coming back from 22 points down to beat Racing Metro last season," he added.
"We have to learn from this and we won't just use this lesson on Sunday in Munster, but in the RaboDirect PRO12 as well.
"It's going to be a big week but we have an incentive to push on and turn things around."