Source code for farm.modeling.tokenization

# coding=utf-8
# Copyright 2018 deepset team.
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"""Tokenization classes."""
from __future__ import absolute_import, division, print_function, unicode_literals

import collections
import json
import logging
import os
import re
from pathlib import Path

import numpy as np
from transformers import (
    AlbertTokenizer, AlbertTokenizerFast,
    BertTokenizer, BertTokenizerFast,
    DistilBertTokenizer, DistilBertTokenizerFast,
    ElectraTokenizer, ElectraTokenizerFast,
    RobertaTokenizer, RobertaTokenizerFast,
    XLMRobertaTokenizer, XLMRobertaTokenizerFast,
    XLNetTokenizer, XLNetTokenizerFast,
    CamembertTokenizer, CamembertTokenizerFast,
    DPRContextEncoderTokenizer, DPRContextEncoderTokenizerFast,
    DPRQuestionEncoderTokenizer, DPRQuestionEncoderTokenizerFast
)
from transformers.models.bert.tokenization_bert import load_vocab
from transformers.tokenization_utils import PreTrainedTokenizer
from transformers import AutoConfig


from farm.data_handler.samples import SampleBasket
from farm.modeling.wordembedding_utils import load_from_cache, EMBEDDING_VOCAB_FILES_MAP, run_split_on_punc

logger = logging.getLogger(__name__)

# Special characters used by the different tokenizers to indicate start of word / whitespace
SPECIAL_TOKENIZER_CHARS = r"^(##|Ġ|▁)"


[docs]class Tokenizer: """ Simple Wrapper for Tokenizers from the transformers package. Enables loading of different Tokenizer classes with a uniform interface. """
[docs] @classmethod def load(cls, pretrained_model_name_or_path, revision=None, tokenizer_class=None, use_fast=True, **kwargs): """ Enables loading of different Tokenizer classes with a uniform interface. Either infer the class from model config or define it manually via `tokenizer_class`. :param pretrained_model_name_or_path: The path of the saved pretrained model or its name (e.g. `bert-base-uncased`) :type pretrained_model_name_or_path: str :param revision: The version of model to use from the HuggingFace model hub. Can be tag name, branch name, or commit hash. :type revision: str :param tokenizer_class: (Optional) Name of the tokenizer class to load (e.g. `BertTokenizer`) :type tokenizer_class: str :param use_fast: (Optional, False by default) Indicate if FARM should try to load the fast version of the tokenizer (True) or use the Python one (False). Only DistilBERT, BERT and Electra fast tokenizers are supported. :type use_fast: bool :param kwargs: :return: Tokenizer """ pretrained_model_name_or_path = str(pretrained_model_name_or_path) kwargs["revision"] = revision if tokenizer_class is None: tokenizer_class = cls._infer_tokenizer_class(pretrained_model_name_or_path) logger.info(f"Loading tokenizer of type '{tokenizer_class}'") # return appropriate tokenizer object ret = None if "AlbertTokenizer" in tokenizer_class: if use_fast: ret = AlbertTokenizerFast.from_pretrained(pretrained_model_name_or_path, keep_accents=True, **kwargs) else: ret = AlbertTokenizer.from_pretrained(pretrained_model_name_or_path, keep_accents=True, **kwargs) elif "XLMRobertaTokenizer" in tokenizer_class: if use_fast: ret = XLMRobertaTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = XLMRobertaTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "RobertaTokenizer" in tokenizer_class: if use_fast: ret = RobertaTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = RobertaTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "DistilBertTokenizer" in tokenizer_class: if use_fast: ret = DistilBertTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = DistilBertTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "BertTokenizer" in tokenizer_class: if use_fast: ret = BertTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = BertTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "XLNetTokenizer" in tokenizer_class: if use_fast: ret = XLNetTokenizerFast.from_pretrained(pretrained_model_name_or_path, keep_accents=True, **kwargs) else: ret = XLNetTokenizer.from_pretrained(pretrained_model_name_or_path, keep_accents=True, **kwargs) elif "ElectraTokenizer" in tokenizer_class: if use_fast: ret = ElectraTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = ElectraTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif tokenizer_class == "EmbeddingTokenizer": if use_fast: logger.error('EmbeddingTokenizerFast is not supported! Using EmbeddingTokenizer instead.') ret = EmbeddingTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = EmbeddingTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "CamembertTokenizer" in tokenizer_class: if use_fast: ret = CamembertTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = CamembertTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "DPRQuestionEncoderTokenizer" in tokenizer_class: if use_fast: ret = DPRQuestionEncoderTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = DPRQuestionEncoderTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) elif "DPRContextEncoderTokenizer" in tokenizer_class: if use_fast: ret = DPRContextEncoderTokenizerFast.from_pretrained(pretrained_model_name_or_path, **kwargs) else: ret = DPRContextEncoderTokenizer.from_pretrained(pretrained_model_name_or_path, **kwargs) if ret is None: raise Exception("Unable to load tokenizer") else: return ret
@staticmethod def _infer_tokenizer_class(pretrained_model_name_or_path): # Infer Tokenizer from model type in config try: config = AutoConfig.from_pretrained(pretrained_model_name_or_path) except OSError: # FARM model (no 'config.json' file) try: config = AutoConfig.from_pretrained(pretrained_model_name_or_path + "/language_model_config.json") except Exception as e: logger.warning("No config file found. Trying to infer Tokenizer type from model name") tokenizer_class = Tokenizer._infer_tokenizer_class_from_string(pretrained_model_name_or_path) return tokenizer_class model_type = config.model_type if model_type == "xlm-roberta": tokenizer_class = "XLMRobertaTokenizer" elif model_type == "roberta": if "mlm" in pretrained_model_name_or_path.lower(): raise NotImplementedError("MLM part of codebert is currently not supported in FARM") tokenizer_class = "RobertaTokenizer" elif model_type == "camembert": tokenizer_class = "CamembertTokenizer" elif model_type == "albert": tokenizer_class = "AlbertTokenizer" elif model_type == "distilbert": tokenizer_class = "DistilBertTokenizer" elif model_type == "bert": tokenizer_class = "BertTokenizer" elif model_type == "xlnet": tokenizer_class = "XLNetTokenizer" elif model_type == "electra": tokenizer_class = "ElectraTokenizer" elif model_type == "dpr": if config.architectures[0] == "DPRQuestionEncoder": tokenizer_class = "DPRQuestionEncoderTokenizer" elif config.architectures[0] == "DPRContextEncoder": tokenizer_class = "DPRContextEncoderTokenizer" elif config.archictectures[0] == "DPRReader": raise NotImplementedError("DPRReader models are currently not supported.") else: # Fall back to inferring type from model name logger.warning("Could not infer Tokenizer type from config. Trying to infer " "Tokenizer type from model name.") tokenizer_class = Tokenizer._infer_tokenizer_class_from_string(pretrained_model_name_or_path) return tokenizer_class @staticmethod def _infer_tokenizer_class_from_string(pretrained_model_name_or_path): # If inferring tokenizer class from config doesn't succeed, # fall back to inferring tokenizer class from model name. if "albert" in pretrained_model_name_or_path.lower(): tokenizer_class = "AlbertTokenizer" elif "xlm-roberta" in pretrained_model_name_or_path.lower(): tokenizer_class = "XLMRobertaTokenizer" elif "roberta" in pretrained_model_name_or_path.lower(): tokenizer_class = "RobertaTokenizer" elif "codebert" in pretrained_model_name_or_path.lower(): if "mlm" in pretrained_model_name_or_path.lower(): raise NotImplementedError("MLM part of codebert is currently not supported in FARM") else: tokenizer_class = "RobertaTokenizer" elif "camembert" in pretrained_model_name_or_path.lower() or "umberto" in pretrained_model_name_or_path.lower(): tokenizer_class = "CamembertTokenizer" elif "distilbert" in pretrained_model_name_or_path.lower(): tokenizer_class = "DistilBertTokenizer" elif "bert" in pretrained_model_name_or_path.lower(): tokenizer_class = "BertTokenizer" elif "xlnet" in pretrained_model_name_or_path.lower(): tokenizer_class = "XLNetTokenizer" elif "electra" in pretrained_model_name_or_path.lower(): tokenizer_class = "ElectraTokenizer" elif "word2vec" in pretrained_model_name_or_path.lower() or \ "glove" in pretrained_model_name_or_path.lower() or \ "fasttext" in pretrained_model_name_or_path.lower(): tokenizer_class = "EmbeddingTokenizer" elif "minilm" in pretrained_model_name_or_path.lower(): tokenizer_class = "BertTokenizer" elif "dpr-question_encoder" in pretrained_model_name_or_path.lower(): tokenizer_class = "DPRQuestionEncoderTokenizer" elif "dpr-ctx_encoder" in pretrained_model_name_or_path.lower(): tokenizer_class = "DPRContextEncoderTokenizer" else: raise ValueError(f"Could not infer tokenizer_class from model config or " f"name '{pretrained_model_name_or_path}'. Set arg `tokenizer_class` " f"in Tokenizer.load() to one of: AlbertTokenizer, XLMRobertaTokenizer, " f"RobertaTokenizer, DistilBertTokenizer, BertTokenizer, XLNetTokenizer, " f"CamembertTokenizer, ElectraTokenizer, DPRQuestionEncoderTokenizer," f"DPRContextEncoderTokenizer.") return tokenizer_class
[docs]class EmbeddingTokenizer(PreTrainedTokenizer): """Constructs an EmbeddingTokenizer. """
[docs] def __init__( self, vocab_file, do_lower_case=True, unk_token="[UNK]", sep_token="[SEP]", pad_token="[PAD]", cls_token="[CLS]", mask_token="[MASK]", **kwargs ): """ :param vocab_file: Path to a one-word-per-line vocabulary file :type vocab_file: str :param do_lower_case: Flag whether to lower case the input :type do_lower_case: bool """ # TODO check why EmbeddingTokenizer.tokenize gives many UNK, while tokenize_with_metadata() works fine super().__init__( unk_token=unk_token, sep_token=sep_token, pad_token=pad_token, cls_token=cls_token, mask_token=mask_token, **kwargs, ) if not os.path.isfile(vocab_file): raise ValueError("Can't find a vocabulary file at path '{}'.".format(vocab_file)) self.vocab = load_vocab(vocab_file) self.unk_tok_idx = self.vocab[unk_token] self.ids_to_tokens = collections.OrderedDict([(ids, tok) for tok, ids in self.vocab.items()]) self.do_lower_case = do_lower_case
@property def vocab_size(self): return len(self.vocab)
[docs] @classmethod def from_pretrained(cls, pretrained_model_name_or_path, **kwargs): """Load the tokenizer from local path or remote.""" if pretrained_model_name_or_path in EMBEDDING_VOCAB_FILES_MAP["vocab_file"]: # Get the vocabulary from AWS S3 bucket or cache resolved_vocab_file = load_from_cache(pretrained_model_name_or_path, EMBEDDING_VOCAB_FILES_MAP["vocab_file"], **kwargs) elif os.path.isdir(pretrained_model_name_or_path): # Get the vocabulary from local files logger.info( f"Model name '{pretrained_model_name_or_path}' not found in model shortcut name " f"list ({', '.join(EMBEDDING_VOCAB_FILES_MAP['vocab_file'].keys())}). " f"Assuming '{pretrained_model_name_or_path}' is a path to a directory containing tokenizer files.") temp = open(str(Path(pretrained_model_name_or_path) / "language_model_config.json"), "r", encoding="utf-8").read() config_dict = json.loads(temp) resolved_vocab_file = str(Path(pretrained_model_name_or_path) / config_dict["vocab_filename"]) else: logger.error( f"Model name '{pretrained_model_name_or_path}' not found in model shortcut name " f"list ({', '.join(EMBEDDING_VOCAB_FILES_MAP['vocab_file'].keys())}) nor as local folder ") raise NotImplementedError tokenizer = cls(vocab_file=resolved_vocab_file, **kwargs) return tokenizer
def _tokenize(self, text, **kwargs): if self.do_lower_case: text = text.lower() tokens = run_split_on_punc(text) tokens = [t if t in self.vocab else self.unk_token for t in tokens] return tokens
[docs] def save_pretrained(self, vocab_path): """Save the tokenizer vocabulary to a directory or file.""" index = 0 if os.path.isdir(vocab_path): vocab_file = os.path.join(vocab_path, "vocab.txt") else: vocab_file = vocab_path with open(vocab_file, "w", encoding="utf-8") as writer: for token, token_index in sorted(self.vocab.items(), key=lambda kv: kv[1]): if index != token_index: logger.warning( "Saving vocabulary to {}: vocabulary indices are not consecutive." " Please check that the vocabulary is not corrupted!".format(vocab_file) ) index = token_index writer.write(token + "\n") index += 1 return (vocab_file,)
def _convert_token_to_id(self, token): return self.vocab.get(token, self.unk_tok_idx)
[docs]def tokenize_with_metadata(text, tokenizer): """ Performing tokenization while storing some important metadata for each token: * offsets: (int) Character index where the token begins in the original text * start_of_word: (bool) If the token is the start of a word. Particularly helpful for NER and QA tasks. We do this by first doing whitespace tokenization and then applying the model specific tokenizer to each "word". .. note:: We don't assume to preserve exact whitespaces in the tokens! This means: tabs, new lines, multiple whitespace etc will all resolve to a single " ". This doesn't make a difference for BERT + XLNet but it does for RoBERTa. For RoBERTa it has the positive effect of a shorter sequence length, but some information about whitespace type is lost which might be helpful for certain NLP tasks ( e.g tab for tables). :param text: Text to tokenize :type text: str :param tokenizer: Tokenizer (e.g. from Tokenizer.load()) :return: Dictionary with "tokens", "offsets" and "start_of_word" :rtype: dict """ # normalize all other whitespace characters to " " # Note: using text.split() directly would destroy the offset, # since \n\n\n would be treated similarly as a single \n text = re.sub(r"\s", " ", text) # Fast Tokenizers return offsets, so we don't need to calculate them ourselves if tokenizer.is_fast: #tokenized = tokenizer(text, return_offsets_mapping=True, return_special_tokens_mask=True) tokenized2 = tokenizer.encode_plus(text, return_offsets_mapping=True, return_special_tokens_mask=True) tokens2 = tokenized2["input_ids"] offsets2 = np.array([x[0] for x in tokenized2["offset_mapping"]]) #offsets2 = [x[0] for x in tokenized2["offset_mapping"]] words = np.array(tokenized2.encodings[0].words) # TODO check for validity for all tokenizer and special token types words[0] = -1 words[-1] = words[-2] words += 1 start_of_word2 = [0] + list(np.ediff1d(words)) ####### # start_of_word3 = [] # last_word = -1 # for word_id in tokenized2.encodings[0].words: # if word_id is None or word_id == last_word: # start_of_word3.append(0) # else: # start_of_word3.append(1) # last_word = word_id tokenized_dict = {"tokens": tokens2, "offsets": offsets2, "start_of_word": start_of_word2} else: # split text into "words" (here: simple whitespace tokenizer). words = text.split(" ") word_offsets = [] cumulated = 0 for idx, word in enumerate(words): word_offsets.append(cumulated) cumulated += len(word) + 1 # 1 because we so far have whitespace tokenizer # split "words" into "subword tokens" tokens, offsets, start_of_word = _words_to_tokens( words, word_offsets, tokenizer ) tokenized_dict = {"tokens": tokens, "offsets": offsets, "start_of_word": start_of_word} return tokenized_dict
def _words_to_tokens(words, word_offsets, tokenizer): """ Tokenize "words" into subword tokens while keeping track of offsets and if a token is the start of a word. :param words: list of words. :type words: list :param word_offsets: Character indices where each word begins in the original text :type word_offsets: list :param tokenizer: Tokenizer (e.g. from Tokenizer.load()) :return: tokens, offsets, start_of_word """ tokens = [] token_offsets = [] start_of_word = [] idx = 0 for w, w_off in zip(words, word_offsets): idx += 1 if idx % 500000 == 0: logger.info(idx) # Get (subword) tokens of single word. # empty / pure whitespace if len(w) == 0: continue # For the first word of a text: we just call the regular tokenize function. # For later words: we need to call it with add_prefix_space=True to get the same results with roberta / gpt2 tokenizer # see discussion here. https://github.com/huggingface/transformers/issues/1196 elif len(tokens) == 0: tokens_word = tokenizer.tokenize(w) else: if type(tokenizer) == RobertaTokenizer: tokens_word = tokenizer.tokenize(w, add_prefix_space=True) else: tokens_word = tokenizer.tokenize(w) # Sometimes the tokenizer returns no tokens if len(tokens_word) == 0: continue tokens += tokens_word # get global offset for each token in word + save marker for first tokens of a word first_tok = True for tok in tokens_word: token_offsets.append(w_off) # Depending on the tokenizer type special chars are added to distinguish tokens with preceeding # whitespace (=> "start of a word"). We need to get rid of these to calculate the original length of the token orig_tok = re.sub(SPECIAL_TOKENIZER_CHARS, "", tok) # Don't use length of unk token for offset calculation if orig_tok == tokenizer.special_tokens_map["unk_token"]: w_off += 1 else: w_off += len(orig_tok) if first_tok: start_of_word.append(True) first_tok = False else: start_of_word.append(False) return tokens, token_offsets, start_of_word
[docs]def truncate_sequences(seq_a, seq_b, tokenizer, max_seq_len, truncation_strategy='longest_first', with_special_tokens=True, stride=0): """ Reduces a single sequence or a pair of sequences to a maximum sequence length. The sequences can contain tokens or any other elements (offsets, masks ...). If `with_special_tokens` is enabled, it'll remove some additional tokens to have exactly enough space for later adding special tokens (CLS, SEP etc.) Supported truncation strategies: - longest_first: (default) Iteratively reduce the inputs sequence until the input is under max_length starting from the longest one at each token (when there is a pair of input sequences). Overflowing tokens only contains overflow from the first sequence. - only_first: Only truncate the first sequence. raise an error if the first sequence is shorter or equal to than num_tokens_to_remove. - only_second: Only truncate the second sequence - do_not_truncate: Does not truncate (raise an error if the input sequence is longer than max_length) :param seq_a: First sequence of tokens/offsets/... :type seq_a: list :param seq_b: Optional second sequence of tokens/offsets/... :type seq_b: None or list :param tokenizer: Tokenizer (e.g. from Tokenizer.load()) :param max_seq_len: :type max_seq_len: int :param truncation_strategy: how the sequence(s) should be truncated down. Default: "longest_first" (see above for other options). :type truncation_strategy: str :param with_special_tokens: If true, it'll remove some additional tokens to have exactly enough space for later adding special tokens (CLS, SEP etc.) :type with_special_tokens: bool :param stride: optional stride of the window during truncation :type stride: int :return: truncated seq_a, truncated seq_b, overflowing tokens """ pair = bool(seq_b is not None) len_a = len(seq_a) len_b = len(seq_b) if pair else 0 num_special_tokens = tokenizer.num_special_tokens_to_add(pair=pair) if with_special_tokens else 0 total_len = len_a + len_b + num_special_tokens overflowing_tokens = [] if max_seq_len and total_len > max_seq_len: seq_a, seq_b, overflowing_tokens = tokenizer.truncate_sequences(seq_a, pair_ids=seq_b, num_tokens_to_remove=total_len - max_seq_len, truncation_strategy=truncation_strategy, stride=stride) return (seq_a, seq_b, overflowing_tokens)
[docs]def insert_at_special_tokens_pos(seq, special_tokens_mask, insert_element): """ Adds elements to a sequence at the positions that align with special tokens. This is useful for expanding label ids or masks, so that they align with corresponding tokens (incl. the special tokens) Example: .. code-block:: python # Tokens: ["CLS", "some", "words","SEP"] >>> special_tokens_mask = [1,0,0,1] >>> lm_label_ids = [12,200] >>> insert_at_special_tokens_pos(lm_label_ids, special_tokens_mask, insert_element=-1) [-1, 12, 200, -1] :param seq: List where you want to insert new elements :type seq: list :param special_tokens_mask: list with "1" for positions of special chars :type special_tokens_mask: list :param insert_element: the value you want to insert :return: list """ new_seq = seq.copy() special_tokens_indices = np.where(np.array(special_tokens_mask) == 1)[0] for idx in special_tokens_indices: new_seq.insert(idx, insert_element) return new_seq
[docs]def tokenize_batch_question_answering(pre_baskets, tokenizer, indices): """ Tokenizes text data for question answering tasks. Tokenization means splitting words into subwords, depending on the tokenizer's vocabulary. - We first tokenize all documents in batch mode. (When using FastTokenizers Rust multithreading can be enabled by TODO add how to enable rust mt) - Then we tokenize each question individually - We construct dicts with question and corresponding document text + tokens + offsets + ids :param pre_baskets: input dicts with QA info #todo change to input objects :param tokenizer: tokenizer to be used :param indices: list, indices used during multiprocessing so that IDs assigned to our baskets are unique :return: baskets, list containing question and corresponding document information """ assert len(indices) == len(pre_baskets) assert tokenizer.is_fast, "Processing QA data is only supported with fast tokenizers for now.\n" \ "Please load Tokenizers with 'use_fast=True' option." baskets = [] # # Tokenize texts in batch mode texts = [d["context"] for d in pre_baskets] tokenized_docs_batch = tokenizer.batch_encode_plus(texts, return_offsets_mapping=True, return_special_tokens_mask=True, add_special_tokens=False, verbose=False) # Extract relevant data tokenids_batch = tokenized_docs_batch["input_ids"] offsets_batch = [] for o in tokenized_docs_batch["offset_mapping"]: offsets_batch.append(np.array([x[0] for x in o])) start_of_words_batch = [] for e in tokenized_docs_batch.encodings: start_of_words_batch.append(_get_start_of_word_QA(e.words)) for i_doc, d in enumerate(pre_baskets): document_text = d["context"] # # Tokenize questions one by one for i_q, q in enumerate(d["qas"]): question_text = q["question"] tokenized_q = tokenizer.encode_plus(question_text, return_offsets_mapping=True, return_special_tokens_mask=True, add_special_tokens=False) # Extract relevant data question_tokenids = tokenized_q["input_ids"] question_offsets = [x[0] for x in tokenized_q["offset_mapping"]] question_sow = _get_start_of_word_QA(tokenized_q.encodings[0].words) external_id = q["id"] # The internal_id depends on unique ids created for each process before forking internal_id = f"{indices[i_doc]}-{i_q}" raw = {"document_text": document_text, "document_tokens": tokenids_batch[i_doc], "document_offsets": offsets_batch[i_doc], "document_start_of_word": start_of_words_batch[i_doc], "question_text": question_text, "question_tokens": question_tokenids, "question_offsets": question_offsets, "question_start_of_word": question_sow, "answers": q["answers"], } # TODO add only during debug mode (need to create debug mode) raw["document_tokens_strings"] = tokenized_docs_batch.encodings[i_doc].tokens raw["question_tokens_strings"] = tokenized_q.encodings[0].tokens baskets.append(SampleBasket(raw=raw, id_internal=internal_id, id_external=external_id, samples=None)) return baskets
def _get_start_of_word_QA(word_ids): words = np.array(word_ids) start_of_word_single = [1] + list(np.ediff1d(words)) return start_of_word_single #TODO standardize with other processors def _get_start_of_word(word_ids, special_token_mask=None): words = np.array(word_ids) if special_token_mask: start_of_word_single = np.where(special_token_mask, -1, words) start_of_word_single = np.ediff1d(start_of_word_single) start_of_word_single = [0] + list(np.clip(start_of_word_single, 0, 1)) else: # TODO check for validity for all tokenizer and special token types words[0] = -1 words[-1] = words[-2] start_of_word_single = [0] + list(np.ediff1d(words)) return start_of_word_single