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Knowledge graphs link entities through relations to provide a structured representation of real world facts. However, they are often incomplete, because they are based on only a small fraction of all plausible facts. The task of knowledge…

Machine Learning · Computer Science 2021-04-19 Shashank Sonkar , Arzoo Katiyar , Richard G. Baraniuk

The application of Gaussian processes (GPs) to large data sets is limited due to heavy memory and computational requirements. A variety of methods has been proposed to enable scalability, one of which is to exploit structure in the kernel…

Machine Learning · Computer Science 2019-12-30 Jan Graßhoff , Alexandra Jankowski , Philipp Rostalski

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen

Machine learning and data mining algorithms are becoming increasingly important in analyzing large volume, multi-relational and multi--modal datasets, which are often conveniently represented as multiway arrays or tensors. It is therefore…

Numerical Analysis · Computer Science 2017-09-12 A. Cichocki , N. Lee , I. V. Oseledets , A. -H. Phan , Q. Zhao , D. Mandic

Deep network architectures struggle to continually learn new tasks without forgetting the previous tasks. A recent trend indicates that dynamic architectures based on an expansion of the parameters can reduce catastrophic forgetting…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Arthur Douillard , Alexandre Ramé , Guillaume Couairon , Matthieu Cord

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

Image and Video Processing · Electrical Eng. & Systems 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

Tensor decompositions are invaluable tools in analyzing multimodal datasets. In many real-world scenarios, such datasets are far from being static, to the contrary they tend to grow over time. For instance, in an online social network…

Machine Learning · Statistics 2024-06-03 Ekta Gujral , Ravdeep Pasricha , Evangelos E. Papalexakis

In recent years, there has been a growing demand to discern clusters of subjects in datasets characterized by a large set of features. Often, these clusters may be highly variable in size and present partial hierarchical structures. In this…

Methodology · Statistics 2024-07-01 Lorenzo Schiavon , Mattia Stival

We propose a new tensor factorization method, called the Sparse Hierarchical-Tucker (Sparse H-Tucker), for sparse and high-order data tensors. Sparse H-Tucker is inspired by its namesake, the classical Hierarchical Tucker method, which aims…

Machine Learning · Computer Science 2016-10-26 Ioakeim Perros , Robert Chen , Richard Vuduc , Jimeng Sun

Diffusion models are a class of generative models that have demonstrated remarkable success in tasks such as image generation. However, one of the bottlenecks of these models is slow sampling due to the delay before the onset of trajectory…

Machine Learning · Statistics 2025-12-25 Li Cunzhi , Louis Kang , Hideaki Shimazaki

We propose a flexible nonparametric Bayesian modelling framework for multivariate time series of count data based on tensor factorisations. Our models can be viewed as infinite state space Markov chains of known maximal order with…

Methodology · Statistics 2023-11-13 Zhongzhen Wang , Petros Dellaportas , Ioannis Kosmidis

In many modern applications, there is interest in analyzing enormous data sets that cannot be easily moved across computers or loaded into memory on a single computer. In such settings, it is very common to be interested in clustering.…

Computation · Statistics 2020-05-15 Hanyu Song , Yingjian Wang , David B. Dunson

Learning the kernel parameters for Gaussian processes is often the computational bottleneck in applications such as online learning, Bayesian optimization, or active learning. Amortizing parameter inference over different datasets is a…

Machine Learning · Computer Science 2023-06-19 Matthias Bitzer , Mona Meister , Christoph Zimmer

GNN inference is a non-trivial task, especially in industrial scenarios with giant graphs, given three main challenges, i.e., scalability tailored for full-graph inference on huge graphs, inconsistency caused by stochastic acceleration…

Machine Learning · Computer Science 2023-07-04 Dalong Zhang , Xianzheng Song , Zhiyang Hu , Yang Li , Miao Tao , Binbin Hu , Lin Wang , Zhiqiang Zhang , Jun Zhou

In this work, we describe advanced numerical tools for working with multivariate functions and for the analysis of large data sets. These tools will drastically reduce the required computing time and the storage cost, and, therefore, will…

Numerical Analysis · Mathematics 2018-07-04 Alexander Litvinenko , David Keyes , Venera Khoromskaia , Boris N. Khoromskij , Hermann G. Matthies

This article presents a novel and flexible multitask multilayer Bayesian mapping framework with readily extendable attribute layers. The proposed framework goes beyond modern metric-semantic maps to provide even richer environmental…

Robotics · Computer Science 2022-10-11 Lu Gan , Youngji Kim , Jessy W. Grizzle , Jeffrey M. Walls , Ayoung Kim , Ryan M. Eustice , Maani Ghaffari

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

Methodology · Statistics 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

Tensor ring (TR) decomposition has recently received increased attention due to its superior expressive performance for high-order tensors. However, the applicability of traditional TR decomposition algorithms to real-world applications is…

Machine Learning · Computer Science 2023-05-17 Yicong He , George K. Atia

Determinantal point processes (DPPs) are an elegant model for encoding probabilities over subsets, such as shopping baskets, of a ground set, such as an item catalog. They are useful for a number of machine learning tasks, including product…

Machine Learning · Statistics 2016-08-17 Mike Gartrell , Ulrich Paquet , Noam Koenigstein

A network of independently trained Gaussian processes (StackedGP) is introduced to obtain predictions of quantities of interest with quantified uncertainties. The main applications of the StackedGP framework are to integrate different…

Machine Learning · Computer Science 2017-06-20 Kareem Abdelfatah , Junshu Bao , Gabriel Terejanu
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