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We describe various errors in the mathematical literature, and consider how some of them might have been avoided, or at least detected at an earlier stage, using tools such as Maple or Sage. Our examples are drawn from three broad…

Number Theory · Mathematics 2021-10-14 Richard P. Brent

Is perfect error correction always worth the trouble? A framework is presented for the analysis of error detection and correction in multi-level systems of communication that takes into account degrees of freedom attended and ignored by…

Information Theory · Computer Science 2020-01-15 Tom Sgouros

During lab studies of text entry methods it is typical to observer very few errors in participants' typing - users tend to type very carefully in labs. This is a problem when investigating methods to support error awareness or correction as…

Human-Computer Interaction · Computer Science 2020-03-16 Andreas Komninos , Emma Nicol , Mark Dunlop

Automatic evaluation of language generation systems is a well-studied problem in Natural Language Processing. While novel metrics are proposed every year, a few popular metrics remain as the de facto metrics to evaluate tasks such as image…

Computation and Language · Computer Science 2020-10-27 Ozan Caglayan , Pranava Madhyastha , Lucia Specia

Grammar Error Correction(GEC) mainly relies on the availability of high quality of large amount of synthetic parallel data of grammatically correct and erroneous sentence pairs. The quality of the synthetic data is evaluated on how well the…

Computation and Language · Computer Science 2022-11-01 Vanya Bannihatti Kumar

A Grammatical Error Correction (GEC) system produces a sequence of edits to correct an erroneous sentence. The quality of these edits is typically evaluated against human annotations. However, a sentence may admit multiple valid…

Computation and Language · Computer Science 2026-05-06 Qiyuan Xiao , Xiaoman Wang , Yunshi Lan

We present a method for classifying syntactic errors in learner language, namely errors whose correction alters the morphosyntactic structure of a sentence. The methodology builds on the established Universal Dependencies syntactic…

Computation and Language · Computer Science 2020-10-28 Leshem Choshen , Dmitry Nikolaev , Yevgeni Berzak , Omri Abend

Recent language models can successfully solve various language-related tasks, and many understand inputs stated in different languages. In this paper, we explore the performance of 17 popular models used to correct grammatical issues in…

Computation and Language · Computer Science 2025-05-12 Dawid Wisniewski , Antoni Solarski , Artur Nowakowski

It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

Methodology · Statistics 2013-06-26 Jonathan Rosenblatt

Recent advances in natural language processing (NLP) have contributed to the development of automated writing evaluation (AWE) systems that can correct grammatical errors. However, while these systems are effective at improving text, they…

Computation and Language · Computer Science 2025-08-12 Steven Coyne , Diana Galvan-Sosa , Ryan Spring , Camélia Guerraoui , Michael Zock , Keisuke Sakaguchi , Kentaro Inui

Errors quoted on results are often given in asymmetric form. An account is given of the two ways these can arise in an analysis, and the combination of asymmetric errors is discussed. It is shown that the usual method has no basis and is…

Data Analysis, Statistics and Probability · Physics 2014-11-18 Roger Barlow

One of the goals of automatic evaluation metrics in grammatical error correction (GEC) is to rank GEC systems such that it matches human preferences. However, current automatic evaluations are based on procedures that diverge from human…

Computation and Language · Computer Science 2025-06-04 Takumi Goto , Yusuke Sakai , Taro Watanabe

The paper focuses on the interpretability of Grammatical Error Correction (GEC) evaluation metrics, which received little attention in previous studies. To bridge the gap, we introduce **CLEME2.0**, a reference-based metric describing four…

Computation and Language · Computer Science 2025-05-30 Jingheng Ye , Zishan Xu , Yinghui Li , Linlin Song , Qingyu Zhou , Hai-Tao Zheng , Ying Shen , Wenhao Jiang , Hong-Gee Kim , Ruitong Liu , Xin Su , Zifei Shan

Incrementality is ubiquitous in human-human interaction and beneficial for human-computer interaction. It has been a topic of research in different parts of the NLP community, mostly with focus on the specific topic at hand even though…

Computation and Language · Computer Science 2018-06-15 Arne Köhn

Grammatical Error Correction (GEC) systems play a vital role in assisting people with their daily writing tasks. However, users may sometimes come across a GEC system that initially performs well but fails to correct errors when the inputs…

Computation and Language · Computer Science 2023-10-12 Yue Zhang , Leyang Cui , Enbo Zhao , Wei Bi , Shuming Shi

Classification systems are evaluated in a countless number of papers. However, we find that evaluation practice is often nebulous. Frequently, metrics are selected without arguments, and blurry terminology invites misconceptions. For…

Machine Learning · Computer Science 2024-07-03 Juri Opitz

Statistical significance testing of differences in values of metrics like recall, precision and balanced F-score is a necessary part of empirical natural language processing. Unfortunately, we find in a set of experiments that many commonly…

Computation and Language · Computer Science 2007-05-23 Alexander Yeh

Automatic metrics are fundamental for the development and evaluation of machine translation systems. Judging whether, and to what extent, automatic metrics concur with the gold standard of human evaluation is not a straightforward problem.…

Computation and Language · Computer Science 2020-06-15 Nitika Mathur , Timothy Baldwin , Trevor Cohn

This paper explores the use of a learned classifier for post-OCR text correction. Experiments with the Arabic language show that this approach, which integrates a weighted confusion matrix and a shallow language model, improves the vast…

Information Retrieval · Computer Science 2020-06-11 Ido Kissos , Nachum Dershowitz

There has been an increased interest in data generation approaches to grammatical error correction (GEC) using pseudo data. However, these approaches suffer from several issues that make them inconvenient for real-world deployment including…

Computation and Language · Computer Science 2021-06-08 Masato Mita , Hitomi Yanaka