Most assuredly this is a USN Special Evening Dress uniform. As noted, the all gold aiguillette on the right side is reserved for those officers assigned to the White House as naval aides. This uniform was of the type worn up until the beginning of WW2 when the epaulets and the fore-and-aft cap were removed as prescribed articles of uniform (I have my father's from 1938, as prescribed for an Ensign). Neither the Army nor the Marine Corps sported those epaulets on the special evening dress, or as more commonly know, mess dress, not to mention that their uniforms of this type looked totally different.
Note some snatchings from the 1913 USN Uniform Regulations:
The first is a general description of the uniform, the second show prescribed uniforms for White House events (the uniform in question is "Uniform C"), and a dashing lieutenant wearing his Special Evening Dress, though, obviously not assigned to White House duty.

I have my suspicions as to who the gent in the OP might be, but I can't get a photo that shows the cleft chin clearly.
Circling back somewhat later . . . Open to correction, but it appears to me that the gentleman in this colorized picture is one Lieutenant John Stuart Blue, USN, who commanded the presidential yacht, USS Sequoia, from 25 March 1933 to 16 November 1933. That assignment would have entitled him to wear the presidential aide aiguillette. Blue, by then a Lieutenant Commander, was killed in the sinking of USS Juneau, 13 November 1942. He was USNA class of 1925. The destroyer USS Blue was named in his honor. I offer for evidence the below photos and draw attention to the hair and the chin.
