Large-Margin Estimation of Hidden Markov Models With Second-Order Cone Programming for Speech Recognition
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Bibliographic record
Abstract
Large-margin estimation (LME) holds a property of good generalization on unseen test data. In our previous work, LME of HMMs has been successfully applied to some small-scale speech recognition tasks, using the SDP (semi-definite programming) technique. In this paper, we further extend the previous work by exploring a more efficient convex optimization method with the technique of second-order cone programming (SOCP). More specifically, we have studied and proposed several SOCP relaxation techniques to convert LME of HMMs in speech recognition into a standard SOCP problem so that LME can be solved with more efficient SOCP methods. The formulation is general enough to deal with various types of competing hypothesis space, such as N-best lists and word graphs. The proposed LME/SOCP approaches have been evaluated on two standard speech recognition tasks. The experimental results on the TIDIGITS task show that the SOCP method significantly outperforms the gradient descent method, and achieve comparable performance with SDP, but with 20-200 times faster speed, requiring less memory and computing resources. Furthermore, the proposed LME/SOCP method has also been successfully applied to a large vocabulary task using the Wall Street Journals (WSJ0) database. The WSJ-5k recognition results show that the proposed method yields better performance than the conventional approaches including maximum-likelihood estimation (MLE), maximum mutual information estimation (MMIE), and more recent boosted MMIE methods.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it