The man who attacked a stranger of East Asian descent, in NYC has been caught. He was previously convicted of killing his own mother.

I condemn the surging violence and hatred against people who have ancestry in East Asia and the Pacific. Like all forms of ethnic hatred, it is a evil that we must denounce and try to stop.

But I feel we should call those people by a term that doesn't define India and other large parts of Asia out of existence.

More exact than "Asian Americans" would be "East Asian Americans." However, that is not perfect, since the same hatred also targets ethnic groups from Pacific islands, which are not in Asia at all.