LinkedIn fast-tracked my interview process, but they managed to set up a series of interviews with the wrong people (their applications team, rather than the data team). Each interviewer separately came to the conclusion in the course of the interview that I should have been interviewing with the other team.
There were five interviews throughout the day, all an hour each, all but one of which consisted of two interviewers each (a junior interviewer, who was "in training" as an interviewer, and a senior interviewer). Each interview had a different purpose: there was an interview with a manager to see about team fit, a "big-picture" design / software architecture interview, two coding interviews etc. I had just recently interviewed with Google, and was surprised to find that the technical competence of interviewers at LinkedIn was significantly lower than that of interviewers at Google. (This might have just been the people assigned to interview me, I don't know.) It was clear that at least half the interviewers who were asking technical questions came completely unprepared to understand some of the theoretical issues behind the questions -- one interviewer argued for 10 minutes with me about the properties of minimal spanning trees, which she clearly did not understand. When right off the bat I outlined the algorithm with optimal complexity, she spent 10 minutes debating with me whether the solution would even work, and her questions made it really clear that she didn't have basic intuition of graph theory, or understand how or why Prim's algorithm worked. She wasn't satisfied until I described a much more straightforward but less efficient algorithm. She also spent a couple of minutes going back and forth with her co-interviewer when they came in, while looking at a laptop screen trying to decide which question on a company-internal list of questions they should ask me: they hadn't even picked a question, much less thought through it. (A later interview, when they tacked on interviews with a couple of people in the data team, was in fact very technically challenging, and required a good understanding of Bayesian networks, which I didn't brush up on before the interview and therefore bombed.)
I will say that overall the interview process at LinkedIn was much better structured and better organized than the process at Google. Also, repeatedly I heard from LinkedIn employees that the thing they liked about working there was that it was still a small, nimble company, meaning they could innovate fast, they owned their work, and they had access to pretty much anyone in the company. However, personally Google feels like a better cultural fit for me than LinkedIn.
It took LinkedIn forever to get back to me with an answer (3 weeks?), in spite of the fact I had a major visa issue and had made it clear multiple times that I needed an answer quickly.