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In NMT we search for the mode of the model distribution to form predictions. The mode and other high-probability translations found by beam search have been shown to often be inadequate in a number of ways. This prevents improving…

Computation and Language · Computer Science 2022-10-26 Bryan Eikema , Wilker Aziz

Minimum Bayes risk (MBR) decoding achieved state-of-the-art translation performance by using COMET, a neural metric that has a high correlation with human evaluation. However, MBR decoding requires quadratic time since it computes the…

Computation and Language · Computer Science 2024-06-12 Hiroyuki Deguchi , Yusuke Sakai , Hidetaka Kamigaito , Taro Watanabe , Hideki Tanaka , Masao Utiyama

Beam search is the most widely used decoding method for neural machine translation (NMT). In practice, the top-1 candidate with the highest log-probability among the n candidates is selected as the preferred one. However, this top-1…

Computation and Language · Computer Science 2022-03-02 Yidan Zhang , Yu Wan , Dayiheng Liu , Baosong Yang , Zhenan He

Minimum Bayes Risk (MBR) decoding has seen renewed interest as an alternative to traditional generation strategies. While MBR has proven effective in machine translation, where the variability of a language model's outcome space is…

Computation and Language · Computer Science 2025-10-24 Bryan Eikema , Anna Rutkiewicz , Mario Giulianelli

Minimum Bayes risk (MBR) decoding is a decision rule of text generation, which selects the hypothesis that maximizes the expected utility and robustly generates higher-quality texts than maximum a posteriori (MAP) decoding. However, it…

Computation and Language · Computer Science 2025-09-17 Hiroyuki Deguchi , Masaaki Nagata

Despite their outstanding performance in the majority of scenarios, contemporary language models still occasionally generate undesirable outputs, for example, hallucinated text. While such behaviors have previously been linked to…

Computation and Language · Computer Science 2025-03-10 Nico Daheim , Clara Meister , Thomas Möllenhoff , Iryna Gurevych

One of the most important challenges in text generation systems is to produce outputs that are not only correct but also diverse. Recently, Minimum Bayes-Risk (MBR) decoding has gained prominence for generating sentences of the highest…

Computation and Language · Computer Science 2024-06-13 Yuu Jinnai , Ukyo Honda , Tetsuro Morimura , Peinan Zhang

We present a novel scheme to combine neural machine translation (NMT) with traditional statistical machine translation (SMT). Our approach borrows ideas from linearised lattice minimum Bayes-risk decoding for SMT. The NMT score is combined…

Computation and Language · Computer Science 2017-02-14 Felix Stahlberg , Adrià de Gispert , Eva Hasler , Bill Byrne

Reed-Muller (RM) codes exhibit good performance under maximum-likelihood (ML) decoding due to their highly-symmetric structure. In this paper, we explore the question of whether the code symmetry of RM codes can also be exploited to achieve…

Information Theory · Computer Science 2018-04-30 Elia Santi , Christian Häger , Henry D. Pfister

Neural metrics have achieved impressive correlation with human judgements in the evaluation of machine translation systems, but before we can safely optimise towards such metrics, we should be aware of (and ideally eliminate) biases toward…

Computation and Language · Computer Science 2022-09-27 Chantal Amrhein , Rico Sennrich

Maximum-a-posteriori (MAP) decoding is the most widely used decoding strategy for neural machine translation (NMT) models. The underlying assumption is that model probability correlates well with human judgment, with better translations…

Computation and Language · Computer Science 2024-07-12 Christian Tomani , David Vilar , Markus Freitag , Colin Cherry , Subhajit Naskar , Mara Finkelstein , Xavier Garcia , Daniel Cremers

Inference methods play an important role in eliciting the performance of large language models (LLMs). Currently, LLMs use inference methods utilizing generated multiple samples, which can be derived from Minimum Bayes Risk (MBR) Decoding.…

Computation and Language · Computer Science 2025-06-10 Hidetaka Kamigaito , Hiroyuki Deguchi , Yusuke Sakai , Katsuhiko Hayashi , Taro Watanabe

Low rank approximation is an important tool used in many applications of signal processing and machine learning. Recently, randomized sketching algorithms were proposed to effectively construct low rank approximations and obtain approximate…

Information Theory · Computer Science 2018-09-11 Shashanka Ubaru , Arya Mazumdar , Yousef Saad

Alternating Minimization is a widely used and empirically successful heuristic for matrix completion and related low-rank optimization problems. Theoretical guarantees for Alternating Minimization have been hard to come by and are still…

Machine Learning · Computer Science 2014-05-15 Moritz Hardt

Inference scaling helps LLMs solve complex reasoning problems through extended runtime computation. On top of long chain-of-thought (long-CoT) models, purely inference-time techniques such as best-of-N (BoN) sampling, majority voting, or…

Recovery of low-rank matrices has recently seen significant activity in many areas of science and engineering, motivated by recent theoretical results for exact reconstruction guarantees and interesting practical applications. A number of…

Machine Learning · Statistics 2011-09-12 S. Derin Babacan , Martin Luessi , Rafael Molina , Aggelos K. Katsaggelos

Matrix completion is often applied to data with entries missing not at random (MNAR). For example, consider a recommendation system where users tend to only reveal ratings for items they like. In this case, a matrix completion method that…

Machine Learning · Statistics 2019-10-30 Wei Ma , George H. Chen

Improving the quality of model-generated summaries, especially factuality, the accuracy of a summary with respect to its source content, remains a challenge. While reranking could select the optimal output from multiple generated…

Computation and Language · Computer Science 2026-05-29 Riza Setiawan Soetedjo , Yusuke Sakai , Hidetaka Kamigaito , Jingun Kwon , Manabu Okumura , Taro Watanabe

Despite the progress in machine translation quality estimation and evaluation in the last years, decoding in neural machine translation (NMT) is mostly oblivious to this and centers around finding the most probable translation according to…

Computation and Language · Computer Science 2022-05-03 Patrick Fernandes , António Farinhas , Ricardo Rei , José G. C. de Souza , Perez Ogayo , Graham Neubig , André F. T. Martins

We give a new framework for solving the fundamental problem of low-rank matrix completion, i.e., approximating a rank-$r$ matrix $\mathbf{M} \in \mathbb{R}^{m \times n}$ (where $m \ge n$) from random observations. First, we provide an…

Machine Learning · Computer Science 2023-08-08 Jonathan A. Kelner , Jerry Li , Allen Liu , Aaron Sidford , Kevin Tian