ASR Inference with CTC Decoder

Author: Caroline Chen

This tutorial shows how to perform speech recognition inference using a CTC beam search decoder with lexicon constraint and KenLM language model support. We demonstrate this on a pretrained wav2vec 2.0 model trained using CTC loss.

Overview

Beam search decoding works by iteratively expanding text hypotheses (beams) with next possible characters, and maintaining only the hypotheses with the highest scores at each time step. A language model can be incorporated into the scoring computation, and adding a lexicon constraint restricts the next possible tokens for the hypotheses so that only words from the lexicon can be generated.

The underlying implementation is ported from Flashlight’s beam search decoder. A mathematical formula for the decoder optimization can be found in the Wav2Letter paper, and a more detailed algorithm can be found in this blog.

Running ASR inference using a CTC Beam Search decoder with a language model and lexicon constraint requires the following components

• Acoustic Model: model predicting phonetics from audio waveforms

• Tokens: the possible predicted tokens from the acoustic model

• Lexicon: mapping between possible words and their corresponding tokens sequence

• Language Model (LM): n-gram language model trained with the KenLM library, or custom language model that inherits CTCDecoderLM

Acoustic Model and Set Up

First we import the necessary utilities and fetch the data that we are working with

import torch
import torchaudio

print(torch.__version__)
print(torchaudio.__version__)

2.4.0
2.4.0

import time
from typing import List

import IPython
import matplotlib.pyplot as plt
from torchaudio.models.decoder import ctc_decoder
from torchaudio.utils import download_asset

We use the pretrained Wav2Vec 2.0 Base model that is finetuned on 10 min of the LibriSpeech dataset, which can be loaded in using torchaudio.pipelines.WAV2VEC2_ASR_BASE_10M. For more detail on running Wav2Vec 2.0 speech recognition pipelines in torchaudio, please refer to this tutorial.

bundle = torchaudio.pipelines.WAV2VEC2_ASR_BASE_10M
acoustic_model = bundle.get_model()

Downloading: "https://download.pytorch.org/torchaudio/models/wav2vec2_fairseq_base_ls960_asr_ll10m.pth" to /root/.cache/torch/hub/checkpoints/wav2vec2_fairseq_base_ls960_asr_ll10m.pth

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We will load a sample from the LibriSpeech test-other dataset.

speech_file = download_asset("tutorial-assets/ctc-decoding/1688-142285-0007.wav")

IPython.display.Audio(speech_file)

The transcript corresponding to this audio file is

i really was very much afraid of showing him how much shocked i was at some parts of what he said

waveform, sample_rate = torchaudio.load(speech_file)

if sample_rate != bundle.sample_rate:
    waveform = torchaudio.functional.resample(waveform, sample_rate, bundle.sample_rate)

Files and Data for Decoder

Next, we load in our token, lexicon, and language model data, which are used by the decoder to predict words from the acoustic model output. Pretrained files for the LibriSpeech dataset can be downloaded through torchaudio, or the user can provide their own files.

Tokens

The tokens are the possible symbols that the acoustic model can predict, including the blank and silent symbols. It can either be passed in as a file, where each line consists of the tokens corresponding to the same index, or as a list of tokens, each mapping to a unique index.

# tokens.txt
_
|
e
t
...

tokens = [label.lower() for label in bundle.get_labels()]
print(tokens)

['-', '|', 'e', 't', 'a', 'o', 'n', 'i', 'h', 's', 'r', 'd', 'l', 'u', 'm', 'w', 'c', 'f', 'g', 'y', 'p', 'b', 'v', 'k', "'", 'x', 'j', 'q', 'z']

Lexicon

The lexicon is a mapping from words to their corresponding tokens sequence, and is used to restrict the search space of the decoder to only words from the lexicon. The expected format of the lexicon file is a line per word, with a word followed by its space-split tokens.

# lexcion.txt
a a |
able a b l e |
about a b o u t |
...
...

Language Model

A language model can be used in decoding to improve the results, by factoring in a language model score that represents the likelihood of the sequence into the beam search computation. Below, we outline the different forms of language models that are supported for decoding.

No Language Model

To create a decoder instance without a language model, set lm=None when initializing the decoder.

KenLM

This is an n-gram language model trained with the KenLM library. Both the .arpa or the binarized .bin LM can be used, but the binary format is recommended for faster loading.

The language model used in this tutorial is a 4-gram KenLM trained using LibriSpeech.

Custom Language Model

Users can define their own custom language model in Python, whether it be a statistical or neural network language model, using CTCDecoderLM and CTCDecoderLMState.

For instance, the following code creates a basic wrapper around a PyTorch torch.nn.Module language model.

from torchaudio.models.decoder import CTCDecoderLM, CTCDecoderLMState


class CustomLM(CTCDecoderLM):
    """Create a Python wrapper around `language_model` to feed to the decoder."""

    def __init__(self, language_model: torch.nn.Module):
        CTCDecoderLM.__init__(self)
        self.language_model = language_model
        self.sil = -1  # index for silent token in the language model
        self.states = {}

        language_model.eval()

    def start(self, start_with_nothing: bool = False):
        state = CTCDecoderLMState()
        with torch.no_grad():
            score = self.language_model(self.sil)

        self.states[state] = score
        return state

    def score(self, state: CTCDecoderLMState, token_index: int):
        outstate = state.child(token_index)
        if outstate not in self.states:
            score = self.language_model(token_index)
            self.states[outstate] = score
        score = self.states[outstate]

        return outstate, score

    def finish(self, state: CTCDecoderLMState):
        return self.score(state, self.sil)

Downloading Pretrained Files

Pretrained files for the LibriSpeech dataset can be downloaded using download_pretrained_files().

Note: this cell may take a couple of minutes to run, as the language model can be large

from torchaudio.models.decoder import download_pretrained_files

files = download_pretrained_files("librispeech-4-gram")

print(files)

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PretrainedFiles(lexicon='/root/.cache/torch/hub/torchaudio/decoder-assets/librispeech-4-gram/lexicon.txt', tokens='/root/.cache/torch/hub/torchaudio/decoder-assets/librispeech-4-gram/tokens.txt', lm='/root/.cache/torch/hub/torchaudio/decoder-assets/librispeech-4-gram/lm.bin')

Construct Decoders

In this tutorial, we construct both a beam search decoder and a greedy decoder for comparison.

Beam Search Decoder

The decoder can be constructed using the factory function ctc_decoder(). In addition to the previously mentioned components, it also takes in various beam search decoding parameters and token/word parameters.

This decoder can also be run without a language model by passing in None into the lm parameter.

LM_WEIGHT = 3.23
WORD_SCORE = -0.26

beam_search_decoder = ctc_decoder(
    lexicon=files.lexicon,
    tokens=files.tokens,
    lm=files.lm,
    nbest=3,
    beam_size=1500,
    lm_weight=LM_WEIGHT,
    word_score=WORD_SCORE,
)

Greedy Decoder

class GreedyCTCDecoder(torch.nn.Module):
    def __init__(self, labels, blank=0):
        super().__init__()
        self.labels = labels
        self.blank = blank

    def forward(self, emission: torch.Tensor) -> List[str]:
        """Given a sequence emission over labels, get the best path
        Args:
          emission (Tensor): Logit tensors. Shape `[num_seq, num_label]`.

        Returns:
          List[str]: The resulting transcript
        """
        indices = torch.argmax(emission, dim=-1)  # [num_seq,]
        indices = torch.unique_consecutive(indices, dim=-1)
        indices = [i for i in indices if i != self.blank]
        joined = "".join([self.labels[i] for i in indices])
        return joined.replace("|", " ").strip().split()


greedy_decoder = GreedyCTCDecoder(tokens)

Run Inference

Now that we have the data, acoustic model, and decoder, we can perform inference. The output of the beam search decoder is of type CTCHypothesis, consisting of the predicted token IDs, corresponding words (if a lexicon is provided), hypothesis score, and timesteps corresponding to the token IDs. Recall the transcript corresponding to the waveform is

i really was very much afraid of showing him how much shocked i was at some parts of what he said

actual_transcript = "i really was very much afraid of showing him how much shocked i was at some parts of what he said"
actual_transcript = actual_transcript.split()

emission, _ = acoustic_model(waveform)

The greedy decoder gives the following result.

greedy_result = greedy_decoder(emission[0])
greedy_transcript = " ".join(greedy_result)
greedy_wer = torchaudio.functional.edit_distance(actual_transcript, greedy_result) / len(actual_transcript)

print(f"Transcript: {greedy_transcript}")
print(f"WER: {greedy_wer}")

Transcript: i reily was very much affrayd of showing him howmuch shoktd i wause at some parte of what he seid
WER: 0.38095238095238093

Using the beam search decoder:

beam_search_result = beam_search_decoder(emission)
beam_search_transcript = " ".join(beam_search_result[0][0].words).strip()
beam_search_wer = torchaudio.functional.edit_distance(actual_transcript, beam_search_result[0][0].words) / len(
    actual_transcript
)

print(f"Transcript: {beam_search_transcript}")
print(f"WER: {beam_search_wer}")

Transcript: i really was very much afraid of showing him how much shocked i was at some part of what he said
WER: 0.047619047619047616

Note

The words field of the output hypotheses will be empty if no lexicon is provided to the decoder. To retrieve a transcript with lexicon-free decoding, you can perform the following to retrieve the token indices, convert them to original tokens, then join them together.

tokens_str = "".join(beam_search_decoder.idxs_to_tokens(beam_search_result[0][0].tokens))
transcript = " ".join(tokens_str.split("|"))

We see that the transcript with the lexicon-constrained beam search decoder produces a more accurate result consisting of real words, while the greedy decoder can predict incorrectly spelled words like “affrayd” and “shoktd”.

Incremental decoding

If the input speech is long, one can decode the emission in incremental manner.

You need to first initialize the internal state of the decoder with decode_begin().

beam_search_decoder.decode_begin()

Then, you can pass emissions to decode_begin(). Here we use the same emission but pass it to the decoder one frame at a time.

for t in range(emission.size(1)):
    beam_search_decoder.decode_step(emission[0, t:t + 1, :])

Finally, finalize the internal state of the decoder, and retrieve the result.

beam_search_decoder.decode_end()
beam_search_result_inc = beam_search_decoder.get_final_hypothesis()

The result of incremental decoding is identical to batch decoding.

beam_search_transcript_inc = " ".join(beam_search_result_inc[0].words).strip()
beam_search_wer_inc = torchaudio.functional.edit_distance(
    actual_transcript, beam_search_result_inc[0].words) / len(actual_transcript)

print(f"Transcript: {beam_search_transcript_inc}")
print(f"WER: {beam_search_wer_inc}")

assert beam_search_result[0][0].words == beam_search_result_inc[0].words
assert beam_search_result[0][0].score == beam_search_result_inc[0].score
torch.testing.assert_close(beam_search_result[0][0].timesteps, beam_search_result_inc[0].timesteps)

Transcript: i really was very much afraid of showing him how much shocked i was at some part of what he said
WER: 0.047619047619047616

Timestep Alignments

Recall that one of the components of the resulting Hypotheses is timesteps corresponding to the token IDs.

timesteps = beam_search_result[0][0].timesteps
predicted_tokens = beam_search_decoder.idxs_to_tokens(beam_search_result[0][0].tokens)

print(predicted_tokens, len(predicted_tokens))
print(timesteps, timesteps.shape[0])

['|', 'i', '|', 'r', 'e', 'a', 'l', 'l', 'y', '|', 'w', 'a', 's', '|', 'v', 'e', 'r', 'y', '|', 'm', 'u', 'c', 'h', '|', 'a', 'f', 'r', 'a', 'i', 'd', '|', 'o', 'f', '|', 's', 'h', 'o', 'w', 'i', 'n', 'g', '|', 'h', 'i', 'm', '|', 'h', 'o', 'w', '|', 'm', 'u', 'c', 'h', '|', 's', 'h', 'o', 'c', 'k', 'e', 'd', '|', 'i', '|', 'w', 'a', 's', '|', 'a', 't', '|', 's', 'o', 'm', 'e', '|', 'p', 'a', 'r', 't', '|', 'o', 'f', '|', 'w', 'h', 'a', 't', '|', 'h', 'e', '|', 's', 'a', 'i', 'd', '|', '|'] 99
tensor([  0,  31,  33,  36,  39,  41,  42,  44,  46,  48,  49,  52,  54,  58,
         64,  66,  69,  73,  74,  76,  80,  82,  84,  86,  88,  94,  97, 107,
        111, 112, 116, 134, 136, 138, 140, 142, 146, 148, 151, 153, 155, 157,
        159, 161, 162, 166, 170, 176, 177, 178, 179, 182, 184, 186, 187, 191,
        193, 198, 201, 202, 203, 205, 207, 212, 213, 216, 222, 224, 230, 250,
        251, 254, 256, 261, 262, 264, 267, 270, 276, 277, 281, 284, 288, 289,
        292, 295, 297, 299, 300, 303, 305, 307, 310, 311, 324, 325, 329, 331,
        353], dtype=torch.int32) 99

Below, we visualize the token timestep alignments relative to the original waveform.

def plot_alignments(waveform, emission, tokens, timesteps, sample_rate):

    t = torch.arange(waveform.size(0)) / sample_rate
    ratio = waveform.size(0) / emission.size(1) / sample_rate

    chars = []
    words = []
    word_start = None
    for token, timestep in zip(tokens, timesteps * ratio):
        if token == "|":
            if word_start is not None:
                words.append((word_start, timestep))
            word_start = None
        else:
            chars.append((token, timestep))
            if word_start is None:
                word_start = timestep

    fig, axes = plt.subplots(3, 1)

    def _plot(ax, xlim):
        ax.plot(t, waveform)
        for token, timestep in chars:
            ax.annotate(token.upper(), (timestep, 0.5))
        for word_start, word_end in words:
            ax.axvspan(word_start, word_end, alpha=0.1, color="red")
        ax.set_ylim(-0.6, 0.7)
        ax.set_yticks([0])
        ax.grid(True, axis="y")
        ax.set_xlim(xlim)

    _plot(axes[0], (0.3, 2.5))
    _plot(axes[1], (2.5, 4.7))
    _plot(axes[2], (4.7, 6.9))
    axes[2].set_xlabel("time (sec)")
    fig.tight_layout()


plot_alignments(waveform[0], emission, predicted_tokens, timesteps, bundle.sample_rate)

Beam Search Decoder Parameters

In this section, we go a little bit more in depth about some different parameters and tradeoffs. For the full list of customizable parameters, please refer to the documentation.

Helper Function

def print_decoded(decoder, emission, param, param_value):
    start_time = time.monotonic()
    result = decoder(emission)
    decode_time = time.monotonic() - start_time

    transcript = " ".join(result[0][0].words).lower().strip()
    score = result[0][0].score
    print(f"{param} {param_value:<3}: {transcript} (score: {score:.2f}; {decode_time:.4f} secs)")

nbest

This parameter indicates the number of best hypotheses to return, which is a property that is not possible with the greedy decoder. For instance, by setting nbest=3 when constructing the beam search decoder earlier, we can now access the hypotheses with the top 3 scores.

for i in range(3):
    transcript = " ".join(beam_search_result[0][i].words).strip()
    score = beam_search_result[0][i].score
    print(f"{transcript} (score: {score})")

i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.824109642502)
i really was very much afraid of showing him how much shocked i was at some parts of what he said (score: 3697.858373688456)
i reply was very much afraid of showing him how much shocked i was at some part of what he said (score: 3695.0157600045172)

beam size

The beam_size parameter determines the maximum number of best hypotheses to hold after each decoding step. Using larger beam sizes allows for exploring a larger range of possible hypotheses which can produce hypotheses with higher scores, but it is computationally more expensive and does not provide additional gains beyond a certain point.

In the example below, we see improvement in decoding quality as we increase beam size from 1 to 5 to 50, but notice how using a beam size of 500 provides the same output as beam size 50 while increase the computation time.

beam_sizes = [1, 5, 50, 500]

for beam_size in beam_sizes:
    beam_search_decoder = ctc_decoder(
        lexicon=files.lexicon,
        tokens=files.tokens,
        lm=files.lm,
        beam_size=beam_size,
        lm_weight=LM_WEIGHT,
        word_score=WORD_SCORE,
    )

    print_decoded(beam_search_decoder, emission, "beam size", beam_size)

beam size 1  : i you ery much afra of shongut shot i was at some arte what he sad (score: 3144.93; 0.0449 secs)
beam size 5  : i rely was very much afraid of showing him how much shot i was at some parts of what he said (score: 3688.02; 0.0516 secs)
beam size 50 : i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.82; 0.1667 secs)
beam size 500: i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.82; 0.5421 secs)

beam size token

The beam_size_token parameter corresponds to the number of tokens to consider for expanding each hypothesis at the decoding step. Exploring a larger number of next possible tokens increases the range of potential hypotheses at the cost of computation.

num_tokens = len(tokens)
beam_size_tokens = [1, 5, 10, num_tokens]

for beam_size_token in beam_size_tokens:
    beam_search_decoder = ctc_decoder(
        lexicon=files.lexicon,
        tokens=files.tokens,
        lm=files.lm,
        beam_size_token=beam_size_token,
        lm_weight=LM_WEIGHT,
        word_score=WORD_SCORE,
    )

    print_decoded(beam_search_decoder, emission, "beam size token", beam_size_token)

beam size token 1  : i rely was very much affray of showing him hoch shot i was at some part of what he sed (score: 3584.80; 0.1642 secs)
beam size token 5  : i rely was very much afraid of showing him how much shocked i was at some part of what he said (score: 3694.83; 0.1812 secs)
beam size token 10 : i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3696.25; 0.2047 secs)
beam size token 29 : i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.82; 0.2323 secs)

beam threshold

The beam_threshold parameter is used to prune the stored hypotheses set at each decoding step, removing hypotheses whose scores are greater than beam_threshold away from the highest scoring hypothesis. There is a balance between choosing smaller thresholds to prune more hypotheses and reduce the search space, and choosing a large enough threshold such that plausible hypotheses are not pruned.

beam_thresholds = [1, 5, 10, 25]

for beam_threshold in beam_thresholds:
    beam_search_decoder = ctc_decoder(
        lexicon=files.lexicon,
        tokens=files.tokens,
        lm=files.lm,
        beam_threshold=beam_threshold,
        lm_weight=LM_WEIGHT,
        word_score=WORD_SCORE,
    )

    print_decoded(beam_search_decoder, emission, "beam threshold", beam_threshold)

beam threshold 1  : i ila ery much afraid of shongut shot i was at some parts of what he said (score: 3316.20; 0.0282 secs)
beam threshold 5  : i rely was very much afraid of showing him how much shot i was at some parts of what he said (score: 3682.23; 0.0696 secs)
beam threshold 10 : i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.82; 0.2163 secs)
beam threshold 25 : i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.82; 0.2386 secs)

language model weight

The lm_weight parameter is the weight to assign to the language model score which to accumulate with the acoustic model score for determining the overall scores. Larger weights encourage the model to predict next words based on the language model, while smaller weights give more weight to the acoustic model score instead.

lm_weights = [0, LM_WEIGHT, 15]

for lm_weight in lm_weights:
    beam_search_decoder = ctc_decoder(
        lexicon=files.lexicon,
        tokens=files.tokens,
        lm=files.lm,
        lm_weight=lm_weight,
        word_score=WORD_SCORE,
    )

    print_decoded(beam_search_decoder, emission, "lm weight", lm_weight)

lm weight 0  : i rely was very much affraid of showing him ho much shoke i was at some parte of what he seid (score: 3834.05; 0.2603 secs)
lm weight 3.23: i really was very much afraid of showing him how much shocked i was at some part of what he said (score: 3699.82; 0.2660 secs)
lm weight 15 : was there in his was at some of what he said (score: 2918.99; 0.2454 secs)

additional parameters

Additional parameters that can be optimized include the following

• word_score: score to add when word finishes

• unk_score: unknown word appearance score to add

• sil_score: silence appearance score to add

• log_add: whether to use log add for lexicon Trie smearing