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Many classical geometric inequalities on functionals of convex bodies depend on the dimension of the ambient space. We show that this dimension dependence may often be replaced (totally or partially) by different symmetry measures of the…

度量几何 · 数学 2014-12-11 René Brandenberg , Stefan König

Identifying disease-associated changes in DNA methylation can help to gain a better understanding of disease etiology. Bisulfite sequencing technology allows the generation of methylation profiles at single base of DNA. We previously…

In this paper, we approach the problem of segmentation-free query-by-string word spotting for handwritten documents. In other words, we use methods inspired from computer vision and machine learning to search for words in large collections…

计算机视觉与模式识别 · 计算机科学 2017-08-18 Tomas Wilkinson , Jonas Lindström , Anders Brun

Document segmentation is a method of rending the document into distinct regions. A document is an assortment of information and a standard mode of conveying information to others. Pursuance of data from documents involves ton of human…

计算机视觉与模式识别 · 计算机科学 2013-03-05 N. Priyadharshini , M. S. Vijaya

This study examines the impact of historical text normalization on the classification of medieval charters, specifically focusing on document dating and locating. Using a data set of Middle High German charters from a digital archive, we…

计算与语言 · 计算机科学 2025-07-24 Florian Atzenhofer-Baumgartner , Tamás Kovács

The record of the beginning of the most widespread legal system in the world is contained in millions of pages of handwritten text. Most of the records of the first centuries of the Anglo-American legal system are hand-written in a highly…

计算机视觉与模式识别 · 计算机科学 2026-05-05 Michael Zhang , Elise Wang , Charlotte Whatley , Seth Strickland , Dylan Bannon

The study and publication of historical scientific manuscripts are com- plex tasks that involve, among others, the explicit representation of the text mean- ings and reasoning on temporal entities. In this paper we present the first results…

人工智能 · 计算机科学 2018-02-05 Sahar Aljalbout , Gilles Falquet

This paper addresses a major challenge to historical research on the 19th century. Large quantities of sources have become digitally available for the first time, while extraction techniques are lagging behind. Therefore, we researched…

计算机视觉与模式识别 · 计算机科学 2024-01-17 David Fleischhacker , Wolfgang Goederle , Roman Kern

Models like support vector machines or Gaussian process regression often require positive semi-definite kernels. These kernels may be based on distance functions. While definiteness is proven for common distances and kernels, a proof for a…

机器学习 · 计算机科学 2018-07-11 Martin Zaefferer , Thomas Bartz-Beielstein , Günter Rudolph

While spherical data arises in many contexts, including in directional statistics, the current tools for density estimation and population comparison on spheres are quite limited. Popular approaches for comparing populations (on Euclidean…

统计方法学 · 统计学 2018-05-15 Zhengwu Zhang , Eric Klassen , Anuj Srivastava

Scaling the amount of compute used to train language models has dramatically improved their capabilities. However, when it comes to inference, we often limit models to making only one attempt at a problem. Here, we explore inference compute…

机器学习 · 计算机科学 2025-01-03 Bradley Brown , Jordan Juravsky , Ryan Ehrlich , Ronald Clark , Quoc V. Le , Christopher Ré , Azalia Mirhoseini

Edit distance, also known as Levenshtein distance, is an essential way to compare two strings that proved to be particularly useful in the analysis of genetic sequences and natural language processing. However, edit distance is a discrete…

机器学习 · 计算机科学 2019-04-30 Evgenii Ofitserov , Vasily Tsvetkov , Vadim Nazarov

Data acquisition forms the primary step in all empirical research. The availability of data directly impacts the quality and extent of conclusions and insights. In particular, larger and more detailed datasets provide convincing answers…

计算机视觉与模式识别 · 计算机科学 2021-02-08 Christian M. Dahl , Torben S. D. Johansen , Emil N. Sørensen , Christian E. Westermann , Simon F. Wittrock

The historical and geographical spread from older to more modern languages has long been studied by examining textual changes and in terms of changes in phonetic transcriptions. However, it is more difficult to analyze language change from…

应用统计 · 统计学 2017-05-19 Davide Pigoli , Pantelis Z. Hadjipantelis , John S. Coleman , John A. D. Aston

Astrometric calibration is based on patterns of cataloged stars and therefore effectively assumes a particular epoch, which can be substantially incorrect for historical images. With the known proper motions of stars we can "run back the…

天体物理学 · 物理学 2009-11-13 Jonathan T. Barron , David W. Hogg , Dustin Lang , Sam Roweis

Most of the textual information available to us are temporally variable. In a world where information is dynamic, time-stamping them is a very important task. Documents are a good source of information and are used for many tasks like,…

计算与语言 · 计算机科学 2021-06-29 Swayambhu Nath Ray

Medieval paper, a handmade product, is made with a mould which leaves an indelible imprint on the sheet of paper. This imprint includes chain lines, laid lines and watermarks which are often visible on the sheet. Extracting these features…

计算机视觉与模式识别 · 计算机科学 2023-03-08 Tamara G. Grossmann , Carola-Bibiane Schönlieb , Orietta Da Rold

The multivariate extended skew-normal distribution allows for accommodating raw data which are skewed and heavy tailed, and has at least three appealing statistical properties, namely closure under conditioning, affine transformations, and…

统计方法学 · 统计学 2015-06-19 Mathieu Gerber , Florian Pelgrin

Targeted user studies are often employed to measure how well artists can perform specific tasks. But these studies cannot properly describe editing workflows as wholes, since they guide the artists both by choosing the tasks and by using…

图形学 · 计算机科学 2016-01-29 Christian Santoni , Claudio Calabrese , Francesco Di Renzo , Fabio Pellacini

When reporting the results of clinical studies, some researchers may choose the five-number summary (including the sample median, the first and third quartiles, and the minimum and maximum values) rather than the sample mean and standard…

统计方法学 · 统计学 2020-06-18 Jiandong Shi , Dehui Luo , Hong Weng , Xian-Tao Zeng , Lu Lin , Haitao Chu , Tiejun Tong