This question, equally relevant to motorists, invites a takeoff on an old Ogden Nash verse about an epitaph for a driver and his rights:
Here lies the body of Jumpy Jimmy Dean
Who couldn’t wait for the light to turn green
He felt right, dead right, as he dashed along
But he’s just as dead as if he would’ve been wrong.
Laws for public safety are intended not only for the individual situation but also as methods of educating people to exercise caution for their protection and the protection of others. When one develops a respect for the warning of a red light, even when he sees no reason for it at the moment, he is less likely to take the risk of crossing when he thinks he can beat the oncoming car and ends up instead like the "hero" of our verse. The large number of pedestrian deaths each year as a result of jaywalking or crossing against the light tragically testifies to how many times a gamble to save a little time ends up with an irreplaceable loss.
The Torah exhorts every person to be extremely careful in guarding the life entrusted to him by his Creator. Just as in regard to religious law each performance of a Divine command develops a person spiritually, so too does each exercise of patience and restraint in waiting for the light to change develop in him a greater regard for life.
In addition, crossing on red is against civil law, and Judaism teaches us to obey the laws of the place in which we live.
Add to this the bad example you would show for those watching you, people younger or less careful than you, who will extend your defiant attitude to truly dangerous situations. The conclusion must be "Cross on the green, not in between".