high profile

1) большой резонанс, широкая огласка, "публичность", заметно проявляемая активность

1. Mainland authorities saw Mr. Lee's high-profile visit as part of a drive for permanent independence (Don Oberdorfer).

2. Mr. Clinton discarded high-profile diplomacy months after the conservative Benjamin Netanyahu became prime minister... (New York Times)

3. By spring, however, the administration reconsidered high-profile negotiations (New York Times).

4. Administration officials decided that public diplomacy was only causing Israelis and Palestinians to become more intransigent. "The more profile we gave, the more we found resistance," an official said. — …"Чем заметнее мы старались (чем активнее мы себя вели), тем больше они сопротивлялись".

5. The United States and Japan expanded the security alliance to give Japan's military its highest profile in Asia since World War II (Washington Post). — В результате решения США и Японии об укреплении их военного союза, японские вооруженные силы получили возможность наиболее активного присутствия в Азии со времен Второй мировой войны.

2) известность

1. It's not the first time that Jordan, who is one of Russia's most high-profile foreign investors, has run afoul of visa cops.

2. he has made several high-profile appointments... (New Yorker) — он назначил несколько известных фигур на должности