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We put together some known theoretical results and the fact that certain computations can be done efficiently in SAGE to come up with a fast algorithm for calculating congruence primes linking a newform with integer coefficients (i.e. a…

Number Theory · Mathematics 2012-02-24 Randy Heaton

Twenty-five hundred years ago, the paperwork of the Achaemenid Empire was recorded on clay tablets. In 1933, archaeologists from the University of Chicago's Oriental Institute (OI) found tens of thousands of these tablets and fragments…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Edward C. Williams , Grace Su , Sandra R. Schloen , Miller C. Prosser , Susanne Paulus , Sanjay Krishnan

We describe a new sense-tagged corpus for word sense disambiguation. The corpus is constituted of instances of 20 French polysemous verbs. Each verb instance is annotated with three sense labels: (1) the actual translation of the verb in…

Computation and Language · Computer Science 2026-05-28 Myriam Rakho , Eric Laporte , Matthieu Constant

We present a novel multi-scale embedding scheme that links conventional QM/MM embedding and bootstrap embedding (BE) to allow simulations of large chemical systems on limited quantum devices. We also propose a mixed-basis BE scheme that…

Despite the frequent challenges posed by ambiguity when representing meaning via natural language, it is often ignored or deliberately removed in tasks mapping language to formally-designed representations, which generally assume a…

Computation and Language · Computer Science 2024-01-23 Elias Stengel-Eskin , Kyle Rawlins , Benjamin Van Durme

New cryptographic techniques such as homomorphic encryption (HE) allow computations to be outsourced to and evaluated blindfolded in a resourceful cloud. These computations often require private data owned by multiple participants, engaging…

Cryptography and Security · Computer Science 2020-08-13 Asma Aloufi , Peizhao Hu , Yongsoo Song , Kristin Lauter

Entity disambiguation, or mapping a phrase to its canonical representation in a knowledge base, is a fundamental step in many natural language processing applications. Existing techniques based on global ranking models fail to capture the…

Computation and Language · Computer Science 2016-04-21 Tiep Mai , Bichen Shi , Patrick K. Nicholson , Deepak Ajwani , Alessandra Sala

Name ambiguity is common in academic digital libraries, such as multiple authors having the same name. This creates challenges for academic data management and analysis, thus name disambiguation becomes necessary. The procedure of name…

Machine Learning · Computer Science 2024-04-02 Wenjin Xie , Siyuan Liu , Xiaomeng Wang , Tao Jia

As a fundamental natural language processing task and one of core knowledge extraction techniques, named entity recognition (NER) is widely used to extract information from texts for downstream tasks. Nested NER is a branch of NER in which…

Computation and Language · Computer Science 2022-04-19 Yifei Yang , Zuchao Li , Hai Zhao

The prevalence of ambiguous acronyms make scientific documents harder to understand for humans and machines alike, presenting a need for models that can automatically identify acronyms in text and disambiguate their meaning. We introduce…

Computation and Language · Computer Science 2021-01-07 Nicholas Egan , John Bohannon

Off-the-shelf pre-trained language models have become the de facto standard in NLP pipelines for a multitude of downstream tasks. However, the inability of these models to properly encode numerals limits their performance on tasks requiring…

Computation and Language · Computer Science 2024-08-09 Mandar Sharma , Rutuja Murlidhar Taware , Pravesh Koirala , Nikhil Muralidhar , Naren Ramakrishnan

Applied process calculi include advanced programming constructs such as type systems, communication with pattern matching, encryption primitives, concurrent constraints, nondeterminism, process creation, and dynamic connection topologies.…

Logic in Computer Science · Computer Science 2017-01-11 Johannes Borgström , Ramūnas Gutkovas , Joachim Parrow , Björn Victor , Johannes Åman Pohjola

A numeration system originally implies a digitization of real numbers, but in this paper it rather implies a compactification of real numbers as a result of the digitization. By definition, a numeration system with $G$, where $G$ is a…

Dynamical Systems · Mathematics 2007-05-23 Teturo Kamae

Deep Ensembles (DE) are a prominent approach for achieving excellent performance on key metrics such as accuracy, calibration, uncertainty estimation, and out-of-distribution detection. However, hardware limitations of real-world systems…

Different representations of dissipative Hamiltonian and port-Hamiltonian differential-algebraic equations (DAE) systems are presented and compared. Using global geometric and algebraic points of view, translations between the different…

Optimization and Control · Mathematics 2023-02-10 V. Mehrmann , A. J. van der Schaft

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

A device which contains number of symbol input keys, where the number of available keys is less than the number of symbols of an alphabet of any given language, screen, and dynamic reordering table of the symbols which are mapped onto those…

Human-Computer Interaction · Computer Science 2017-08-01 Nikolaos Tselios , Manolis Maragoudakis

Human readers can accurately count how many letters are in a word (e.g., 7 in ``buffalo''), remove a letter from a given position (e.g., ``bufflo'') or add a new one. The human brain of readers must have therefore learned to disentangle…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Bruno Bianchi , Aakash Agrawal , Stanislas Dehaene , Emmanuel Chemla , Yair Lakretz

Extracting information from r\'esum\'es is typically formulated as a two-stage problem, where the document is first segmented into sections and then each section is processed individually to extract the target entities. Instead, we cast the…

Computation and Language · Computer Science 2023-09-14 Federico Retyk , Hermenegildo Fabregat , Juan Aizpuru , Mariana Taglio , Rabih Zbib

Legal documents are unstructured, use legal jargon, and have considerable length, making them difficult to process automatically via conventional text processing techniques. A legal document processing system would benefit substantially if…

Computation and Language · Computer Science 2022-11-08 Vijit Malik , Rishabh Sanjay , Shouvik Kumar Guha , Angshuman Hazarika , Shubham Nigam , Arnab Bhattacharya , Ashutosh Modi