paper-with-me

홈 › Papers

Mean-Squared Accuracy of Good-Turing Estimator

2021-04-14 · Maciej Skorski

The brilliant method due to Good and Turing allows for estimating objects not occurring in a sample. The problem, known under names "sample coverage" or "missing mass" goes back to their cryptographic work during WWII, but over years has found has many applications, including language modeling, inference in ecology and estimation of distribution properties. This work characterizes the maximal mean-squared error of the Good-Turing estimator, for any sample \emph{and} alphabet size.

📄 PDF Abstract BibTeX arXiv:2104.07029

Code (0)

등록된 구현이 없습니다.

Tasks

Language ModelingLanguage Modelling

Similar Papers 제목 키워드 기반

How Much is Unseen Depends Chiefly on Information About the Seen

2024-02-08 · Seongmin Lee, Marcel Böhme

The missing mass refers to the proportion of data points in an unknown population of classifier inputs that belong to classes not present in the classifier's training data, which is assumed to be a random sample from tha…

Bias-Reduced Neural Networks for Parameter Estimation in Quantitative MRI

2023-11-13 · Andrew Mao, Sebastian Flassbeck, Jakob Assländer

Purpose: To develop neural network (NN)-based quantitative MRI parameter estimators with minimal bias and a variance close to the Cram\'er-Rao bound. Theory and Methods: We generalize the mean squared error loss to contr…

Computational Efficiencyparameter estimationQuantitative MRI

Predictability Analysis of Regression Problems via Conditional Entropy Estimations

2024-06-06 · Yu-Hsueh Fang, Chia-Yen Lee

In the field of machine learning, regression problems are pivotal due to their ability to predict continuous outcomes. Traditional error metrics like mean squared error, mean absolute error, and coefficient of determinat…

regression

Non-Bayesian Parametric Missing-Mass Estimation

2021-01-12 · Shir Cohen, Tirza Routtenberg, Lang Tong

We consider the classical problem of missing-mass estimation, which deals with estimating the total probability of unseen elements in a sample. The missing-mass estimation problem has various applications in machine lear…

Confidence intervals for intentionally biased estimators

2025-02-01 · David M. Kaplan, Xin Liu

We propose and study three confidence intervals (CIs) centered at an estimator that is intentionally biased to reduce mean squared error. The first CI simply uses an unbiased estimator's standard error; compared to cente…