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In multi-task learning (MTL), we improve the performance of key machine learning algorithms by training various tasks jointly. When the number of tasks is large, modeling task structure can further refine the task relationship model. For…

Machine Learning · Computer Science 2020-11-25 Xiangyu Niu , Yifan Sun , Jinyuan Sun

We give a systematic approach to constructing non-reduced, locally Cohen-Macaulay schemes with reduced support a smooth projective variety. The hierarchy of such structures includes a lot of information about the underlying variety, its…

Algebraic Geometry · Mathematics 2007-05-23 Jon Eivind Vatne

In this paper, we propose a method for aligning models with their realization through the application of model-based systems engineering. Our approach is divided into three steps. (1) Firstly, we leverage domain expertise and the Unified…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Lovis Justin Immanuel Zenz , Erik Heiland , Peter Hillmann , Andreas Karcher

This paper introduces a model that identifies spatial relationships for a structural analysis based on the concept of simplicial complex. The spatial relationships are identified through overlapping two map layers, namely a primary layer…

Data Analysis, Statistics and Probability · Physics 2008-01-15 Bin Jiang , Itzhak Omer

We are pursuing a modeling methodology that views the world as a realm of things. A thing is defined as something that can be created, processed, released, transferred, and received. Additionally, in this modeling approach, a thing is a…

Software Engineering · Computer Science 2019-09-05 Sabah Al-Fedaghi

Metro or transit maps, are schematic representations of transit networks to facilitate effective route-finding. These maps are often advertised on a web page or pamphlet highlighting routes from source to destination stations. To visually…

Graphics · Computer Science 2022-08-31 Tobias Batik , Soeren Terziadis , Yu-Shuen Wang , Martin Nöllenburg , Hsiang-Yun Wu

The previously described methodology for hierarchical grouping of objects through iterative averaging has been used for simulation of cooperative interactions between objects of a system with the purpose of investigation of the…

Other Computer Science · Computer Science 2008-06-10 Leonid Andreev

The use of patent citation networks as research tools is becoming increasingly commonplace in the field of innovation studies. However, these networks rarely consider the contexts in which these citations are generated and are generally…

Physics and Society · Physics 2022-05-17 Kyle Higham , Martina Contisciani , Caterina De Bacco

The optimization along the chain processing-structure-properties-performance is one of the core objectives in data-driven materials science. In this sense, processes are supposed to manufacture workpieces with targeted material…

Materials Science · Physics 2022-03-24 Tarek Iraki , Lukas Morand , Johannes Dornheim , Norbert Link , Dirk Helm

Many complex networks are only a part of larger systems, where a number of coexisting topologies interact and depend on each other. We introduce a layered model to facilitate the description and analysis of such systems. As an example of…

Physics and Society · Physics 2007-05-23 Maciej Kurant , Patrick Thiran

Automatic or assisted workflow composition is a field of intense research for applications to the world wide web or to business process modeling. Workflow composition is traditionally addressed in various ways, generally via theorem proving…

Artificial Intelligence · Computer Science 2007-05-23 Patrick Albert , Laurent Henocque , Mathias Kleiner

If $L$ is a finite lattice, we show that there is a natural topological lattice structure on the geometric realization of its order complex $\Delta(L)$ (definition recalled). Lattice-theoretically, the resulting object is a subdirect…

Rings and Algebras · Mathematics 2017-02-08 George M. Bergman

The microstructure critically governs the properties of materials used in energy and chemical engineering technologies, from catalysts and filters to thermal insulators and sensors. Therefore, accurate design is based on quantitative…

Computational Engineering, Finance, and Science · Computer Science 2026-01-29 Maksym Szemer , Szymon Buchaniec , Grzegorz Brus

Dislocations - linear defects within the crystal lattice of, e.g., metals - already have been directly observed and analyzed for nearly a century. While experimental characterization methods can nowadays reconstruct three-dimensional…

Materials Science · Physics 2016-05-19 Dominik Steinberger , Riccardo Gatti , Stefan Sandfeld

Weak structures abound in higher category theory, but are often suitably equivalent to stricter structures that are easier to understand. We extend strictification for tricategories and trihomomorphisms to trinatural transformations,…

Category Theory · Mathematics 2023-07-06 Adrian Miranda

Additive manufacturing (AM) enables enormous freedom for design of complex structures. However, the process-dependent limitations that result in discrepancies between as-designed and as-manufactured shapes are not fully understood. The…

Computational Geometry · Computer Science 2019-05-30 Morad Behandish , Amir M. Mirzendehdel , Saigopal Nelaturi

Most of existing detection pipelines treat object proposals independently and predict bounding box locations and classification scores over them separately. However, the important semantic and spatial layout correlations among proposals are…

Computer Vision and Pattern Recognition · Computer Science 2016-08-19 Jianan Li , Xiaodan Liang , Jianshu Li , Tingfa Xu , Jiashi Feng , Shuicheng Yan

Multi-scale structures are prevalent in both natural and artificial systems, as they can handle increasing complexity. Several terms are employed almost interchangeably across various application domains to refer to the multi-scale concept…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Ada Diaconescu , Louisa Jane Di Felice , Patricia Mellodge

With the advancement of machine learning and artificial intelligence technologies, recommender systems have been increasingly used across a vast variety of platforms to efficiently and effectively match users with items. As application…

Information Retrieval · Computer Science 2026-01-28 Xuan Bi , Yaqiong Wang , Gediminas Adomavicius , Shawn Curley

The necessity of an explicit architecture description has been continuously emphasized to communicate the system functionality and for system maintenance activities. This paper presents an approach to extract architecture descriptions using…

Software Engineering · Computer Science 2021-01-26 Sanjay Thakare , Arvind W Kiwelekar