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Roughly speaking, functional analysis is the study of vector spaces of arbitrary dimension over the field of real or complex numbers, and the continuous linear mappings between such spaces. Naturally, the notion of continuity requires a…

Functional Analysis · Mathematics 2025-10-09 Christoph Bock

We describe a new logical data model, called the concept-oriented model (COM). It uses mathematical functions as first-class constructs for data representation and data processing as opposed to using exclusively sets in conventional…

Databases · Computer Science 2019-11-19 Alexandr Savinov

The online programing services, such as Github,TopCoder, and EduCoder, have promoted a lot of social interactions among the service users. However, the existing social interactions is rather limited and inefficient due to the rapid…

Artificial Intelligence · Computer Science 2019-03-12 Mingming Lu , Dingwu Tan , Naixue Xiong , Zailiang Chen , Haifeng Li

Functionality is of utmost importance to customers when they purchase products. However, it is unclear to customers whether a product can really satisfy their needs on functions. Further, missing functions may be intentionally hidden by the…

Computation and Language · Computer Science 2017-12-07 Hu Xu , Sihong Xie , Lei Shu , Philip S. Yu

This work makes explicit the degrees of freedom involved in modeling the dynamics of a network, or some other first-order property of a network, such as a measurement function. In previous work, an admissible function in a network was…

Optimization and Control · Mathematics 2022-11-15 Pedro Sequeira , João P. Hespanha , A. Pedro Aguiar

A method of finding and classifying various components and objects in a design diagram, drawing, or planning layout is proposed. The method automatically finds the objects present in a legend table and finds their position, count and…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Sourish Sarkar , Pranav Pandey , Sibsambhu Kar

We propose a computational design tool to enable casual end-users to easily design, fabricate, and assemble flat-pack furniture with guaranteed manufacturability. Using our system, users select parameterized components from a library and…

Graphics · Computer Science 2022-04-15 Wenzhong Yan , Dawei Zhao , Ankur Mehta

In this paper we present a theoretical analysis of graph-based service composition in terms of its dependency with service discovery. Driven by this analysis we define a composition framework by means of integration with fine-grained I/O…

Artificial Intelligence · Computer Science 2015-02-11 Pablo Rodriguez-Mier , Carlos Pedrinaci , Manuel Lama , Manuel Mucientes

Human decision-makers often receive assistance from data-driven algorithmic systems that provide a score for evaluating objects, including individuals. The scores are generated by a function (mechanism) that takes a set of features as input…

Machine Learning · Computer Science 2019-11-25 Abolfazl Asudeh , H. V. Jagadish

Product classification is the task of automatically predicting a taxonomy path for a product in a predefined taxonomy hierarchy given a textual product description or title. For efficient product classification we require a suitable…

Artificial Intelligence · Computer Science 2016-07-26 Vivek Gupta , Harish Karnick , Ashendra Bansal , Pradhuman Jhala

In recommender systems, user-item interactions can be modeled as a bipartite graph, where user and item nodes are connected by undirected edges. This graph-based view has motivated the rapid adoption of graph neural networks (GNNs), which…

A majority of stock 3D models in modern shape repositories are assembled with many fine-grained components. The main cause of such data form is the component-wise modeling process widely practiced by human modelers. These modeling…

Graphics · Computer Science 2018-09-14 Xiaogang Wang , Bin Zhou , Haiyue Fang , Xiaowu Chen , Qinping Zhao , Kai Xu

One of the hallmarks of human intelligence is the ability to compose learned knowledge into novel concepts which can be recognized without a single training example. In contrast, current state-of-the-art methods require hundreds of training…

Computer Vision and Pattern Recognition · Computer Science 2019-05-16 Senthil Purushwalkam , Maximilian Nickel , Abhinav Gupta , Marc'Aurelio Ranzato

It is often useful to perform integration over learned functions represented by neural networks. However, this integration is usually performed numerically, as analytical integration over learned functions (especially neural networks) is…

Machine Learning · Computer Science 2023-12-27 Ryan Kortvelesy

Function plays an important role in mathematics and many science branches. As the fast development of computer technology, more and more study on computational function analysis, e.g., Fast Fourier Transform, Wavelet Transform, Curve…

Machine Learning · Computer Science 2022-09-21 Changlin Wan , Zhongzhi Shi

Functional ANOVA offers a principled framework for interpretability by decomposing a model's prediction into main effects and higher-order interactions. For independent features, this decomposition is well-defined, strongly linked with SHAP…

Machine Learning · Statistics 2026-03-04 Baptiste Ferrere , Nicolas Bousquet , Fabrice Gamboa , Jean-Michel Loubes , Joseph Muré

We propose a new approach, called as functional deep neural network (FDNN), for classifying multi-dimensional functional data. Specifically, a deep neural network is trained based on the principle components of the training data which shall…

Machine Learning · Statistics 2022-05-19 Shuoyang Wang , Guanqun Cao , Zuofeng Shang

We present a data-driven framework to automate the vectorization and machine interpretation of 2D engineering part drawings. In industrial settings, most manufacturing engineers still rely on manual reads to identify the topological and…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Wentai Zhang , Joe Joseph , Yue Yin , Liuyue Xie , Tomotake Furuhata , Soji Yamakawa , Kenji Shimada , Levent Burak Kara

Graphs neural networks (GNNs) learn node features by aggregating and combining neighbor information, which have achieved promising performance on many graph tasks. However, GNNs are mostly treated as black-boxes and lack human intelligible…

Machine Learning · Computer Science 2020-06-05 Hao Yuan , Jiliang Tang , Xia Hu , Shuiwang Ji

As demonstrated in many areas of real-life applications, neural networks have the capability of dealing with high dimensional data. In the fields of optimal control and dynamical systems, the same capability was studied and verified in many…

Machine Learning · Computer Science 2020-12-04 Wei Kang , Qi Gong