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In order to apply Optical Character Recognition (OCR) to historical printings of Latin script fully automatically, we report on our efforts to construct a widely-applicable polyfont recognition model yielding text with a Character Error…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Christian Reul , Christoph Wick , Maximilian Nöth , Andreas Büttner , Maximilian Wehner , Uwe Springmann

Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangles, a2+b2 = c2. They have been studied for many years, many centuries in fact. In this short paper we present a method for computing…

General Mathematics · Mathematics 2023-07-07 James M. Parks

Machine-generated text detection, as an important task, is predominantly focused on English in research. This makes the existing detectors almost unusable for non-English languages, relying purely on cross-lingual transferability. There…

Computation and Language · Computer Science 2025-10-01 Dominik Macko , Jakub Kopal

We investigate the magic number problem, that is, the question whether there exists a minimal n-state nondeterministic finite automaton (NFA) whose equivalent minimal deterministic finite automaton (DFA) has alpha states, for all n and…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Markus Holzer , Sebastian Jakobi , Martin Kutrib

This article presents an experiment in fine-tuning a pretrained causal language model (Meta's Llama 3.1 8B Instruct) to assist with restoring missing or illegible characters in ancient Greek inscriptions and documentary papyri. Utilizing a…

Computation and Language · Computer Science 2024-11-19 Eric Cullhed

Identifying the type of font (e.g., Roman, Blackletter) used in historical documents can help optical character recognition (OCR) systems produce more accurate text transcriptions. Towards this end, we present an active-learning strategy…

Computer Vision and Pattern Recognition · Computer Science 2016-01-28 Anshul Gupta , Ricardo Gutierrez-Osuna , Matthew Christy , Richard Furuta , Laura Mandell

Objective of the current work is to develop an Optical Character Recognition (OCR) engine for information Just In Time (iJIT) system that can be used for recognition of handwritten textual annotations of lower case Roman script. Tesseract…

Computer Vision and Pattern Recognition · Computer Science 2010-03-31 Sandip Rakshit , Subhadip Basu , Hisashi Ikeda

Diacritic characters can be considered as a unique set of characters providing us with adequate and significant clue in identifying a given language with considerably high accuracy. Diacritics, though associated with phonetics often serve…

Computer Vision and Pattern Recognition · Computer Science 2021-12-07 Shubham Vatsal , Nikhil Arora , Gopi Ramena , Sukumar Moharana , Dhruval Jain , Naresh Purre , Rachit S Munjal

System F, the polymorphic lambda calculus, features the principle of impredicativity: polymorphic types may be (explicitly) instantiated at other types, enabling many powerful idioms such as Church encoding and data abstraction.…

Programming Languages · Computer Science 2022-03-04 Henry Mercer , Cameron Ramsay , Neel Krishnaswami

While the Voynich Manuscript was almost certainly written left-to-right (LTR), the question whether the underlying script or cipher reads LTR or right-to-left (RTL) has received little quantitative attention. We introduce a statistical…

Cryptography and Security · Computer Science 2025-09-25 Christophe Parisel

Of the over 7,000 languages spoken in the world, commercial language identification (LID) systems only reliably identify a few hundred in written form. Research-grade systems extend this coverage under certain circumstances, but for most…

Computation and Language · Computer Science 2026-02-10 Rasul Dent , Pedro Ortiz Suarez , Thibault Clérice , Benoît Sagot

One of the last chapters in the long course of human evolution was the shift from hunting and gathering to the production of food or strategies of subsistence based on farming and the herding of animals. In Southwest Asia, the first steps…

Populations and Evolution · Quantitative Biology 2021-09-07 Albert Ammerman

What is space computing, simulation, or understanding? Converging from several sources, this seems to be something more primitive than what is usually meant by computation, something that was along with us since antiquity (the word…

Metric Geometry · Mathematics 2011-04-22 Marius Buliga

E394 in the Enestrom index. Translated from the Latin original, "De partitione numerorum in partes tam numero quam specie datas" (1768). Euler finds a lot of recurrence formulas for the number of partitions of $N$ into $n$ parts from some…

History and Overview · Mathematics 2007-12-04 Leonhard Euler

The oracle problem refers to the inability of an agent to know if the information coming from an oracle is authentic and unbiased. In ancient times, philosophers and historians debated on how to evaluate, increase, and secure the…

Cryptography and Security · Computer Science 2026-05-22 Giulio Caldarelli , Massimiliano Ornaghi

All the already known results on self descriptive numbers, together with the demonstration of the uniqueness for bases greater than 6, are here obtained through a systematic scheme of proof and not trial and error. The proof is also…

Combinatorics · Mathematics 2021-05-05 Orazio Sorgoná

This is a translation from the Latin of Euler's "Problema algebraicum de inveniendis quatuor numeris ex datis totidem productis uniuscuiusque horum numerorum in summas trium reliquorum", Opera Postuma 1 (1862), 282-287, reprinted in…

History and Overview · Mathematics 2010-05-11 Leonhard Euler , Jordan Bell

Using Phylogenetic Algebraic Geometry, we analyze computationally the phylogenetic tree of subfamilies of the Indo-European language family, using data of syntactic structures. The two main sources of syntactic data are the SSWL database…

Computation and Language · Computer Science 2019-06-26 Kevin Shu , Andrew Ortegaray , Robert Berwick , Matilde Marcolli

In the eighth century BC something peculiar seems to happen on Sicily. The archaeological record starts to show the arrival of Greek material culture. By the fifth century BC the island is effectively 'Hellenised' and ancient historians…

History and Philosophy of Physics · Physics 2016-09-08 Alun Salt

We discuss the presence of symmetries in images engraved on ancient seals, in particular on stamp seals. Used to stamp decorations, to secure the containers from tampering and for owner's identification, we can find seals that can be dated…

History and Overview · Mathematics 2018-05-01 Amelia Carolina Sparavigna
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