Challenge: Existing approaches to neural machine translation have computational complexities that are either linear or exponential in the number of constraints.
Approach: They propose an algorithm for lexically constrained decoding with a complexity of O(1) in the number of constraints.
Outcome: The proposed algorithm can place constraints and improve results in simulated post-editing tasks.

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Improved Lexically Constrained Decoding for Translation and Monolingual Rewriting (N19-1)

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Challenge: Lexically-constrained sequence decoding allows for explicit positive or negative phrase-based constraints to be placed on target output strings in machine translation or monolingual text rewriting tasks.
Approach: They propose a vectorized dynamic beam allocation algorithm which extends work in lexically-constrained decoding to work with batching.
Outcome: The proposed method improves on natural language inference, question answering and machine translation tasks by fivefold .
Neural Machine Translation Decoding with Terminology Constraints (N18-2)

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Challenge: Constrained neural machine translation systems can provide excellent quality but do not strictly enforce terminology.
Approach: They propose a framework for constrained neural decoding which supports target-side constraints as well as constraints with corresponding aligned input text spans.
Outcome: The proposed framework performs well on multiple translation tasks and motivates the need for constrained decoding with attentions to reduce misplacement and duplication when translating user constraints.
Lexically Constrained Neural Machine Translation with Levenshtein Transformer (2020.acl-main)

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Challenge: Existing approaches to incorporate lexical constraints in neural machine translation have been unsuccessful .
Approach: They propose an algorithm that incorporates lexical constraints into neural machine translation.
Outcome: The proposed method improves on English-German datasets without modification . it does not require any modification to the training procedure and can be easily applied at runtime with custom dictionaries.
Integrating Vectorized Lexical Constraints for Neural Machine Translation (2022.acl-long)

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Challenge: Existing studies focus on integrating discrete lexical constraints into neural machine translation models.
Approach: They propose to integrate constraints into NMT models by integrating them into keys and values . they show that their method outperforms representative baselines on four language pairs .
Outcome: The proposed method outperforms baselines on four language pairs, showing superiority .
Machine Translation Decoding beyond Beam Search (2021.emnlp-main)

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Challenge: a new study examines whether beam search can be replaced by a more powerful metric-driven search technique.
Approach: They propose a beam search method which is agnostic to the end metric and report results on a variety of metrics.
Outcome: The proposed method is based on a Monte-Carlo Tree Search (MCTS) based method and shows it can be used in language applications.
End-to-End Lexically Constrained Machine Translation for Morphologically Rich Languages (2021.acl-long)

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Challenge: Existing approaches to enforce word forms in translations struggle to make them agree with the rest of the output.
Approach: They propose to train neural machine translation models with lemmatized constraints to infer correct word inflection.
Outcome: The proposed model reduces errors in translation of constrained terms in automatic and manual evaluations on English-Czech language pairs.
Restricted or Not: A General Training Framework for Neural Machine Translation (2022.acl-srw)

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Challenge: Existing work imposes constraints on beam search decoding, which limits the concurrent processing ability of the model in deployment.
Approach: They propose a general training framework that allows a model to support both restricted and unrestricted translations by adopting an additional auxiliary training process without constraining the decoding process.
Outcome: The proposed training framework is tested on simulated and original benchmarks.
Improving Beam Search by Removing Monotonic Constraint for Neural Machine Translation (P18-2)

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Challenge: a beam search algorithm produces monotonic left-to-right order, meaning a hypothesis cannot be revisited . a proposed algorithm allows discarded hypotheses to be recovered in a later step.
Approach: They propose to decode a beam search algorithm that considers multiple hypotheses simultaneously . they propose to maintain all found hypothese a single priority queue and a universal score function .
Outcome: The proposed algorithm improves translations even for high-performance models in English-Japanese translation task.
Improving Lexically Constrained Neural Machine Translation with Source-Conditioned Masked Span Prediction (2021.acl-short)

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Challenge: Accurate terminology translation is crucial for ensuring the practicality and reliability of neural machine translation systems.
Approach: They propose a method to preserve terminology in translations as lexical constraints with or without a term dictionary at test time.
Outcome: The proposed setup achieves consistent improvements on terminology and sentence-level translation for three domain-specific corpora in two language pairs.
Improving Lexical Choice in Neural Machine Translation (N18-1)

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Challenge: False positives: the output layer rewards frequent words disproportionately, we argue . Falsibles: a model that learns word representations in continuous space tends to translate rare words .
Approach: They propose to fix the norms of both vectors to a constant value and integrate a lexical module which is jointly trained with the rest of the model.
Outcome: The proposed approach achieves improvements of up to +4.3 BLEU surpassing phrase-based translation in nearly all settings.

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