In 2007 economist Ray Fisman, in a two-year study he co-authored on dating preferences among Columbia University students, did not find evidence of a general preference among white men for Asian women. Furthermore, the study found that there is a significantly higher pairing of white men with East Asian women because East Asian women discriminate against Black and Hispanic/Latino men.
“We found no evidence of the stereotype of a white male preference for East Asian women. However, we also found that East Asian women did not discriminate against white men (only against black and Hispanic men). As a result, the white man-Asian woman pairing was the most common form of interracial dating—but because of the women's neutrality, not the men's pronounced preference. Men don't seem to discriminate based on race when it comes to dating. A woman's race had no effect on the men's choices.” - Source