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courses:rg:2012:longdtreport [2012/03/12 22:39] longdt |
courses:rg:2012:longdtreport [2012/03/12 22:59] (current) longdt |
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==== Encoding ==== | ==== Encoding ==== | ||
- | I. Encoding the count | + | **I. Encoding the count** |
In web1T corpus, the most frequent n-gram is 95 billion times, but contain only 770 000 unique count. | In web1T corpus, the most frequent n-gram is 95 billion times, but contain only 770 000 unique count. | ||
=> Maintain value rank array is a good way to encode count | => Maintain value rank array is a good way to encode count | ||
- | II. Encoding the n-gram | ||
- | **Idea** | ||
- | Most of the attendants apparently understood the talk and the paper well, and a | ||
- | lively discussion followed. One of our first topics of debate was the notion of | ||
- | skyline presented in the paper. The skyline was somewhat of a supervised element | ||
- | -- the authors estimated initial parameters for a model from gold data and | ||
- | trained it afterwards. They assumed that a model with parameters estimated from | ||
- | gold data cannot be beaten by an unsupervisedly trained model. Verily, after | ||
- | training the skyline model, its accuracy dropped very significantly. The reasons | ||
- | of this were a point of surprise for us as well as for the paper' | ||
- | Complementary to the skyline, the authors presented a baseline which should | + | **II. Encoding |
- | definitely be beaten by their final model. This baseline, they called | + | |
- | " | + | |
- | used in this model. We could only speculate it was a uniform or random | + | |
- | probability distribution. | + | |
- | A point about unsupervised language modeling came out: Many linguistic phenomena | + | **// |
- | are annotated in a way that is to some extent arbitrary, and reflects more the | + | encode W1,W2....Wn = c(W1,W2...W(n-1)) Wn |
- | linguistic theory used than the language itself, and an unsupervised model | + | c is offset function, so call context encoding |
- | cannot hope to get them right. The example we discussed was whether the word | + | |
- | " | + | |
- | noticed that dependency orientation in general was not a particularly strong | + | |
- | point of their parser, and so they also included an evaluation metric that | + | |
- | ignored the dependency orientations. | + | |
- | Perhaps the most crucial observations the authors made was that there is a limit | + | **// |
- | where feeding more data to the model training hurts its accuracy. They | + | |
- | progressed from short sentences to longer, and identified the threshold, where | + | |
- | it's best to start ignoring any more training data, at sentences of length 15. | + | |
- | However, we were not 100% clear how they computed this constant. | + | |
- | If the model was to be fully unsupervised, | + | |
- | this threshold, because it cannot be safely assumed that it would be the same | + | |
- | for all languages and setups. | + | |
- | The writing style of the paper was also a matter of differing opinions. | + | __Sorted Array__ |
- | Undeniably, it is written in a vocabulary-intensive fashion, bringing readers | + | |
- | face to face with words like " | + | |
- | never seen before. | + | |
- | ==== Conclusion ==== | + | - Use n array for n-gram model (array i-th is used for i-gram) |
+ | - Each element in array in pair (w,c) | ||
+ | w : index of that word in unigram array | ||
+ | c : offset pointer | ||
+ | - Sort base on w | ||
- | All in all, it was a paper worth reading, well presented, and thoroughly | + | Improvement : Implicitly encode W (all n-gram ending with particular word wi are stored -> wasteful. So, maintain another array save the beginning and the end of the range |
- | discussed, bringing useful general ideas as well as interesting details. | + | |
+ | __Hash Table__ | ||
+ | Use open addressing (with linear probling) | ||
+ | Use extra 40% space for auxiliary part (avoid collision) | ||
+ | |||
+ | **// | ||
+ | |||
+ | __Variable length coding__ | ||
+ | |||
+ | Idea : | ||
+ | Context offset tend to be close with each others, => Only save the first offsets address and the difference of others with the it | ||
+ | |||
+ | Question : | ||
+ | how the unigram be sorted ? | ||
+ | Martin suggest that it must be sorted base on frequency | ||
+ | |||
+ | __Block Compression__ | ||
+ | compress the key/value array in the blocks of 128 bytes, | ||
+ | the underline reason is only to support binary search | ||
+ | |||
+ | ==== Decoding ==== | ||
+ | **I. Exploiting Repetitive Queries** | ||
+ | |||
+ | The method use cache to speed up the process | ||
+ | This simple implementation increase performance of 300% over conventional implementation | ||
+ | **II. Exploiting Scrolling Queries** | ||
+ | |||
+ | We can quickly form the context encoding of the next query by concatenating new words with saved offset from previous query | ||
+ | |||
+ | ==== Conclusion ==== | ||
+ | In summary, it was a worth reading | ||
+ | discussed. |