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The Gaussian theory of errors has been generalized to situations, where the Gaussian distribution and, hence, the Gaussian rules of error propagation are inadequate. The generalizations are based on Bayes' theorem and a suitable measure.…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Hanns L. Harney

The Expected Normalized Calibration Error (ENCE) is a popular calibration statistic used in Machine Learning to assess the quality of prediction uncertainties for regression problems. Estimation of the ENCE is based on the binning of…

Machine Learning · Computer Science 2023-05-23 Pascal Pernot

This paper has been withdrawn by the author due to some errors.

Information Theory · Computer Science 2010-02-26 Dong Huang , Zhiqi Shen , Chunyan Miao , Zhihong Man , Cyril Leung

We propose the Variation Calibration Error (VCE) metric for assessing the calibration of machine learning classifiers. The metric can be viewed as an extension of the well-known Expected Calibration Error (ECE) which assesses the…

Machine Learning · Computer Science 2026-02-16 Andrew Thompson , Vivek Desai

The task of Grammatical Error Correction (GEC) aims to automatically correct grammatical errors in natural texts. Almost all previous works treat annotated training data equally, but inherent discrepancies in data are neglected. In this…

Computation and Language · Computer Science 2023-11-27 Jiahao Li , Quan Wang , Chiwei Zhu , Zhendong Mao , Yongdong Zhang

Causal concept effect estimation is gaining increasing interest in the field of interpretable machine learning. This general approach explains the behaviors of machine learning models by estimating the causal effect of human-understandable…

Machine Learning · Computer Science 2024-11-15 Jifan Gao , Guanhua Chen

Recent work on Grammatical Error Correction (GEC) has highlighted the importance of language modeling in that it is certainly possible to achieve good performance by comparing the probabilities of the proposed edits. At the same time,…

Computation and Language · Computer Science 2019-06-06 Dimitrios Alikaniotis , Vipul Raheja

Learning from Multi-Positive and Unlabeled (MPU) data has gradually attracted significant attention from practical applications. Unfortunately, the risk of MPU also suffer from the shift of minimum risk, particularly when the models are…

Machine Learning · Computer Science 2024-12-04 Zhongnian Li , Meng Wei , Peng Ying , Xinzheng Xu

Epistasis is a key concept in the theory of adaptation. Indicators of epistasis are of interest for large system where systematic fitness measurements may not be possible. Some recent approaches depend on information theory. We show that…

Populations and Evolution · Quantitative Biology 2015-03-04 Kristina Crona

This paper has been withdrawn by the author due to the presented idea is wrong.

General Physics · Physics 2007-05-23 D. L. Khokhlov

This paper has been withdrawn by the author, due to a crucial error in page 5.

General Mathematics · Mathematics 2009-02-06 Julio Alcantara-Bode

This thesis presents a study about the integration of information about Multiword Expressions (MWEs) into parsing with Combinatory Categorial Grammar (CCG). We build on previous work which has shown the benefit of adding information about…

Computation and Language · Computer Science 2015-05-19 Miryam de Lhoneux

This note corrects a minor misstatement in section 2 of the paper in the title (arXiv:0808.3426). It also addresses some related issues. The error does not affect the main results of that paper, but nevertheless this corrigendum seems…

Representation Theory · Mathematics 2009-10-27 Thomas J. Haines

Bayesian inference is a powerful tool in gravitational-wave astronomy. It enables us to deduce the properties of merging compact-object binaries and to determine how these mergers are distributed as a population according to mass, spin, and…

Instrumentation and Methods for Astrophysics · Physics 2022-06-15 Isobel M. Romero-Shaw , Eric Thrane , Paul D. Lasky

This paper has been withdrawn by the author due to the incorrect argument for the security.

Quantum Physics · Physics 2008-05-26 Yibo Zhao

The paper has been withdrawn by the authors due to some error in the manuscript.

Astrophysics · Physics 2009-06-23 Deepak Jain , N. Panchapakesan , S. Mahajan , V. B. Bhatia

Various evaluation metrics have been proposed for Grammatical Error Correction (GEC), but many, particularly reference-free metrics, lack explainability. This lack of explainability hinders researchers from analyzing the strengths and…

Computation and Language · Computer Science 2024-12-18 Takumi Goto , Justin Vasselli , Taro Watanabe

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

I point out and diagnose an error in a figure in a textbook on classical physics. The error helps to illustrate a pitfall encountered when dealing with the shapes of objects, and perhaps also reflects general cultural attitudes in physics.…

Classical Physics · Physics 2023-03-23 J. A. Hanna

Interpretability research takes counterfactual theories of causality for granted. Most causal methods rely on counterfactual interventions to inputs or the activations of particular model components, followed by observations of the change…

Machine Learning · Computer Science 2024-07-08 Aaron Mueller