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In past few decades, tensor algebra also known as multi-linear algebra has been developed and customized as a tool to be used for various engineering applications. In particular, with the help of a special form of tensor contracted product,…

系统与控制 · 电气工程与系统科学 2024-01-01 Divyanshu Pandey , Adithya Venugopal , Harry Leib

Beyond their origin in modeling many-body quantum systems, tensor networks have emerged as a promising class of models for solving machine learning problems, notably in unsupervised generative learning. While possessing many desirable…

We propose a new statistical model suitable for machine learning of systems with long distance correlations such as natural languages. The model is based on directed acyclic graph decorated by multi-linear tensor maps in the vertices and…

计算与语言 · 计算机科学 2017-10-31 Vasily Pestun , Yiannis Vlassopoulos

We propose a novel framework in high-dimensional factor models to simultaneously analyse multiple tensor time series, each with potentially different tensor orders and dimensionality. The connection between different tensor time series is…

统计方法学 · 统计学 2025-09-19 Zetai Cen

Probability models have been proposed in the literature to account for "intelligent" behavior in many contexts. In this paper, probability propagation is applied to model agent's motion in potentially complex scenarios that include goals…

Social media users express their political preferences via interaction with other users, by spontaneous declarations or by participation in communities within the network. This makes a social network such as Twitter a valuable data source…

社会与信息网络 · 计算机科学 2024-06-13 Joseba Fernandez de Landa , Rodrigo Agerri

Today's densely instrumented world offers tremendous opportunities for continuous acquisition and analysis of multimodal sensor data providing temporal characterization of an individual's behaviors. Is it possible to efficiently couple such…

机器学习 · 计算机科学 2018-09-03 Homa Hosseinmardi , Amir Ghasemian , Shrikanth Narayanan , Kristina Lerman , Emilio Ferrara

Scientific computations or measurements may result in huge volumes of data. Often these can be thought of representing a real-valued function on a high-dimensional domain, and can be conceptually arranged in the format of a tensor of high…

Data modeling is a process of developing a model to design and develop a data system that supports an organization s various business processes. A conceptual data model represents a technology-independent specification of structure of data…

数据库 · 计算机科学 2021-10-01 Sabah Al-Fedaghi

An important aspect of urban planning is understanding crowd levels at various locations, which typically require the use of physical sensors. Such sensors are potentially costly and time consuming to implement on a large scale. To address…

社会与信息网络 · 计算机科学 2020-12-08 Jerome Heng , Junhua Liu , Kwan Hui Lim

Tensor networks have found a wide use in a variety of applications in physics and computer science, recently leading to both theoretical insights as well as practical algorithms in machine learning. In this work we explore the connection…

量子物理 · 物理学 2019-12-04 Ivan Glasser , Nicola Pancotti , J. Ignacio Cirac

Services are flourishing drastically both on the Internet and in the real world. Additionally, services have become much more interconnected to facilitate transboundary business collaboration to create and deliver distinct new values to…

计算机与社会 · 计算机科学 2020-04-23 Mingyi Liu , Zhiying Tu , Xiaofei Xu , Zhongjie Wang

Transactional network data can be thought of as a list of one-to-many communications(e.g., email) between nodes in a social network. Most social network models convert this type of data into binary relations between pairs of nodes. We…

机器学习 · 统计学 2010-10-08 Mahdi Shafiei , Hugh Chipman

In modern data science, dynamic tensor data is prevailing in numerous applications. An important task is to characterize the relationship between such dynamic tensor and external covariates. However, the tensor data is often only partially…

机器学习 · 统计学 2021-05-17 Jie Zhou , Will Wei Sun , Jingfei Zhang , Lexin Li

Estimating the expected value of an observable appearing in a non-equilibrium stochastic process usually involves sampling. If the observable's variance is high, many samples are required. In contrast, we show that performing the same task…

统计力学 · 物理学 2015-04-07 T. H. Johnson , T. J. Elliott , S. R. Clark , D. Jaksch

Our ability to synthesize sensory data that preserves specific statistical properties of the real data has had tremendous implications on data privacy and big data analytics. The synthetic data can be used as a substitute for selective real…

机器学习 · 计算机科学 2017-02-01 Moustafa Alzantot , Supriyo Chakraborty , Mani B. Srivastava

Recently, data exchange platforms have emerged in the digital economy to enable better resource allocation in a data-driven society, which requires cross-organizational data collaborations. Understanding the characteristics of the data on…

社会与信息网络 · 计算机科学 2020-03-12 Teruaki Hayashi , Yukio Ohsawa

Tensor-valued data benefits greatly from dimension reduction as the reduction in size is exponential in the number of modes. To achieve maximal reduction without loss in information, our objective in this work is to give an automated…

统计方法学 · 统计学 2022-07-22 Una Radojicic , Niko Lietzen , Klaus Nordhausen , Joni Virta

We present an approach for modeling the Semantic Web as a type system. By using a type system, we can use symbolic representation for representing linked data. Objects with only data properties and references to external resources are…

计算机科学中的逻辑 · 计算机科学 2015-03-06 Rod Moten

In recent years, storing large volumes of data on distributed devices has become commonplace. Applications involving sensors, for example, capture data in different modalities including image, video, audio, GPS and others. Novel algorithms…

机器学习 · 计算机科学 2021-02-10 Haimonti Dutta , Nitin Nataraj , Saurabh Amarnath Mahindre
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