The tendency to seek evidence supporting one's perspectives while ignoring evidence to the contrary is referred to as

Repression is a psychological defense mechanism that involves unconsciously blocking out distressing thoughts and memories. While it pertains to how individuals handle negative emotions or experiences, it does not specifically relate to the active seeking of confirming evidence or the dismissal of contrary information.

Belief perseverance is the tendency to maintain a belief even when presented with evidence that contradicts it. While it overlaps with confirmation bias, belief perseverance focuses more on the maintenance of beliefs despite counter-evidence rather than the active search for confirming information, making it a different concept.

Gambler's fallacy is the mistaken belief that past random events can influence future random events, such as the belief that a coin is "due" to land on heads after several tails. This fallacy does not pertain to the selective gathering of evidence to support a belief but rather to misconceptions about probability and randomness.