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DP matching is a pattern-matching algorithm based on dynamic programming (DP), which uses a time-normalization effect, where the fluctuations in the time axis are modeled using a non-linear time-warping function. Considering any two speech patterns, we can get rid of their timing differences by warping the time axis of one so that the maximal ...
The word dynamic was chosen by Bellman to capture the time-varying aspect of the problems, and because it sounded impressive. [12] The word programming referred to the use of the method to find an optimal program, in the sense of a military schedule for training or logistics.
Viterbi path and Viterbi algorithm have become standard terms for the application of dynamic programming algorithms to maximization problems involving probabilities. [3] For example, in statistical parsing a dynamic programming algorithm can be used to discover the single most likely context-free derivation (parse) of a string, which is ...
The goal of the algorithm is to estimate a hidden variable x(t) given a list of observations y(t). By applying the Markov property , the conditional probability distribution of the hidden variable x ( t ) at time t , given the values of the hidden variable x at all times, depends only on the value of the hidden variable x ( t − 1).
In 1987, Steven DeRose [7] and Kenneth W. Church [8] independently developed dynamic programming algorithms to solve the same problem in vastly less time. Their methods were similar to the Viterbi algorithm known for some time in other fields. DeRose used a table of pairs, while Church used a table of triples and a method of estimating the ...
A Bellman equation, named after Richard E. Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. [1] It writes the "value" of a decision problem at a certain point in time in terms of the payoff from some initial choices and the "value" of the remaining decision ...
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Speech recognition is an interdisciplinary subfield of computer science and computational linguistics that develops methodologies and technologies that enable the recognition and translation of spoken language into text by computers. It is also known as automatic speech recognition (ASR), computer speech recognition or speech-to-text (STT).