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A bialgebra is a structure which is simultaneously an algebra and a coalgebra, such that the algebraic and coalgebraic parts are "compatible". Bialgebras are normally studied over a field or commutative ring. In this paper, we show how to…

Rings and Algebras · Mathematics 2009-10-30 James Worthington

Graph-based modeling plays a fundamental role in many areas of computer science. In this paper, we introduce systems of graph formulas with variables for specifying graph properties; this notion generalizes the graph formulas introduced in…

Formal Languages and Automata Theory · Computer Science 2026-01-23 Frank Drewes , Berthold Hoffmann , Mark Minas

A biform theory is a combination of an axiomatic theory and an algorithmic theory that supports the integration of reasoning and computation. These are ideal for formalizing algorithms that manipulate mathematical expressions. A theory…

Logic in Computer Science · Computer Science 2017-07-27 Jacques Carette , William M. Farmer

We present a family of neural-network--inspired models for computing continuous word representations, specifically designed to exploit both monolingual and multilingual text. This framework allows us to perform unsupervised training of…

Computation and Language · Computer Science 2016-12-15 Radu Soricut , Nan Ding

In this paper, we develop a novel framework, Exact Bilinearization Iterative Form (EBIF), for transforming a nonlinear control-affine system into an exact finite-dimensional bilinear representation. In contrast to most existing approaches…

Optimization and Control · Mathematics 2025-12-22 Yuan-Hung Kuan , Jr-Shin Li

A number of high-level languages and libraries have been proposed that offer novel and simple to use abstractions for concurrent, asynchronous, and distributed programming. The execution models that realise them, however, often change over…

Software Engineering · Computer Science 2018-01-18 Claudio Corrodi , Alexander Heußner , Christopher M. Poskitt

Manufacturing Execution Systems (MES) optimize production and business processes at the same time. However, the engineering and specification of MES is a challenging, interdisciplinary process. Especially IT and production experts with…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Maria Witsch , Birgit Vogel-Heuser

Multiword expressions (MWEs) exhibit both regular and idiosyncratic properties. Their idiosyncrasy requires lexical encoding in parallel with their component words. Their (at times intricate) regularity, on the other hand, calls for means…

Computation and Language · Computer Science 2018-10-24 Agata Savary , Simon Petitjean , Timm Lichte , Laura Kallmeyer , Jakub Waszczuk

Generalizing to unseen graph tasks without task-specific supervision is challenging: conventional graph neural networks are typically tied to a fixed label space, while large language models (LLMs) struggle to capture graph structure. We…

Machine Learning · Computer Science 2025-10-21 Duo Wang , Yuan Zuo , Guangyue Lu , Junjie Wu

Neural Architecture Representation Learning aims to transform network models into feature representations for predicting network attributes, playing a crucial role in deploying and designing networks for real-world applications. Recently,…

Machine Learning · Computer Science 2025-06-10 Haizhao Jing , Haokui Zhang , Zhenhao Shang , Rong Xiao , Peng Wang , Yanning Zhang

Modular reasoning about class invariants is challenging in the presence of dependencies among collaborating objects that need to maintain global consistency. This paper presents semantic collaboration: a novel methodology to specify and…

Software Engineering · Computer Science 2014-05-08 Nadia Polikarpova , Julian Tschannen , Carlo A. Furia , Bertrand Meyer

Representing molecular structures effectively in chemistry remains a challenging task. Language models and graph-based models are extensively utilized within this domain, consistently achieving state-of-the-art results across an array of…

Machine Learning · Computer Science 2025-05-27 Nikolai Rekut , Alexey Orlov , Klea Ziu , Elizaveta Starykh , Martin Takac , Aleksandr Beznosikov

A defining feature of twenty first century engineering challenges is their inherent complexity, demanding the convergence of knowledge across diverse disciplines. Establishing consistent methodological foundations for engineering systems…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Amro M. Farid , Amirreza Hosseini , John C. Little

In this paper we provide for parsing with respect to grammars expressed in a general TFS-based formalism, a restriction of ALE. Our motivation being the design of an abstract (WAM-like) machine for the formalism, we consider parsing as a…

cmp-lg · Computer Science 2016-08-31 Shuly Wintner , Nissim Francez

Modelling information from complex systems such as humans social interaction or words co-occurrences in our languages can help to understand how these systems are organized and function. Such systems can be modelled by networks, and network…

Computation and Language · Computer Science 2024-12-12 Thibault Prouteau , Nicolas Dugué , Simon Guillot

Significant efforts have been dedicated to integrating the powerful Large Language Models (LLMs) with diverse modalities, particularly focusing on the fusion of language, vision and audio data. However, the graph-structured data, which is…

Computation and Language · Computer Science 2024-12-31 Zipeng Liu , Likang Wu , Ming He , Zhong Guan , Hongke Zhao , Nan Feng

Mathematical models and algorithms are an essential part of mathematical research data, as they are epistemically grounding numerical data. In order to represent models and algorithms as well as their relationship semantically to make this…

Control-flow graphs (CFGs) of structured programs are well known to exhibit strong sparsity properties. Traditionally, this sparsity has been modeled using graph parameters such as treewidth and pathwidth, enabling the development of faster…

Programming Languages · Computer Science 2026-02-10 Xuran Cai , Amir Goharshady , S Hitarth , Chun Kit Lam

Node-link diagrams are widely used to visualize graphs. Most graph layout algorithms only use graph topology for aesthetic goals (e.g., minimize node occlusions and edge crossings) or use node attributes for exploration goals (e.g.,…

Data Structures and Algorithms · Computer Science 2023-01-20 Leixian Shen , Zhiwei Tai , Enya Shen , Jianmin Wang

Converting hand-drawn sketches into structured 3D geometries remains challenging due to the difficulty of representing non-Euclidean surfaces and maintaining topological consistency. Existing generative models such as GANs, NeRFs, and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Wenda Wang , Anqi Liu , Junqi Yang , Lei He , Luying Wang , Jiachen Lu , Weixin Huang
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