Hi Mark,

Very appreciate for your reply.

I see you mention that it's useful to implement a larger library of
efficient data structure, and I'm interested in that very much. I used to
work on projects which involve complicated but very interesting data
structures, implementing them could be challenging, but once done I feel a
great sense of achievement.

One such project is implementing a language model (LM) which is a core
component of speech recognition and machine translation. I don't know if
you heard of it before. Unfortunately, I can't cover it too detailed here,
that would complicate things too much.

Basically, one of the key operations LM supports is it should return a
probability associated with any given id sequence. All id sequences are of
the same length, and there are a mass amount of such id sequences (a
commonly-seen LM may contain billions of them). So it's required to store
LM in a concise way, and at the same time make the search for each id
sequence very quickly.

Trie is finally chosen to be the data structure for LM (there were many
papers discussing this issue). All id sequences with the same prefix share
the same internal node, for example, for <1, 2, 3, 4> and <1, 2, 3, 5>,
only one copy of <1, 2, 3> will be stored in LM, and a search for a id
sequence is done by a sequence of binary search until the leaf is met. One
extra thing worth mentioning is that I store the whole trie structure in a
single large piece of memory (usually around 2 gigabytes), which makes
it convenient to write out to disk and load into memory by simply using
mmap, and I think it also makes the system faster than if you allocate
memory every time it's needed.

There are some other projects I worked or working on like Spell Corrector,
which also involve complicated data structures, but due to privacy policy,
I can't say much about it.

All in all, I'm very interested in it, and I really really hope I can help.

Looking forward to your reply. Thanks in advance.

Have fun!

Rushan Chen

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