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Part 2 of this monograph builds on the introduction to tensor networks and their operations presented in Part 1. It focuses on tensor network models for super-compressed higher-order representation of data/parameters and related cost…

数值分析 · 计算机科学 2017-08-31 A. Cichocki , A-H. Phan , Q. Zhao , N. Lee , I. V. Oseledets , M. Sugiyama , D. Mandic

Contrastive deep clustering has recently gained significant attention with its ability of joint contrastive learning and clustering via deep neural networks. Despite the rapid progress, previous works mostly require both positive and…

机器学习 · 计算机科学 2023-01-12 Xiaozhi Deng , Dong Huang , Chang-Dong Wang

Multitask learning (MTL) can utilize the relatedness between multiple tasks for performance improvement. The advent of multimodal data allows tasks to be referenced by multiple indices. High-order tensors are capable of providing efficient…

机器学习 · 计算机科学 2023-08-23 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Johan A. K. Suykens

Low rank tensor representation underpins much of recent progress in tensor completion. In real applications, however, this approach is confronted with two challenging problems, namely (1) tensor rank determination; (2) handling real tensor…

计算机视觉与模式识别 · 计算机科学 2017-08-04 Lei Zhang , Wei Wei , Qinfeng Shi , Chunhua Shen , Anton van den Hengel , Yanning Zhang

Low-Rank Representation (LRR) is arguably one of the most powerful paradigms for Multi-view spectral clustering, which elegantly encodes the multi-view local graph/manifold structures into an intrinsic low-rank self-expressive data…

计算机视觉与模式识别 · 计算机科学 2018-03-23 Yang Wang , Lin Wu

We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural…

定量方法 · 定量生物学 2019-02-11 Anna Seigal , Mariano Beguerisse-Díaz , Birgit Schoeberl , Mario Niepel , Heather A. Harrington

Adaptive Resonance Theory (ART) is considered as an effective approach for realizing continual learning thanks to its ability to handle the plasticity-stability dilemma. In general, however, the clustering performance of ART-based…

机器学习 · 计算机科学 2022-07-08 Naoki Masuyama , Narito Amako , Yuna Yamada , Yusuke Nojima , Hisao Ishibuchi

We propose tensorial neural networks (TNNs), a generalization of existing neural networks by extending tensor operations on low order operands to those on high order ones. The problem of parameter learning is challenging, as it corresponds…

机器学习 · 统计学 2018-12-11 Jiahao Su , Jingling Li , Bobby Bhattacharjee , Furong Huang

Artificial Neural Networks (ANNs) require significant amounts of data and computational resources to achieve high effectiveness in performing the tasks for which they are trained. To reduce resource demands, various techniques, such as…

神经与进化计算 · 计算机科学 2024-12-04 A. Stolarek , W. Jaworek

The choice of architecture of artificial neuron network (ANN) is still a challenging task that users face every time. It greatly affects the accuracy of the built network. In fact there is no optimal method that is applicable to various…

神经与进化计算 · 计算机科学 2014-12-18 Cyrine Arouri , Engelbert Mephu Nguifo , Sabeur Aridhi , Cécile Roucelle , Gaelle Bonnet-Loosli , Norbert Tsopzé

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

机器学习 · 计算机科学 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

The Multi-Task Learning (MTL) technique has been widely studied by word-wide researchers. The majority of current MTL studies adopt the hard parameter sharing structure, where hard layers tend to learn general representations over all tasks…

信息检索 · 计算机科学 2021-01-25 Dehong Gao , Wenjing Yang , Huiling Zhou , Yi Wei , Yi Hu , Hao Wang

Multiway data often naturally occurs in a tensorial format which can be approximately represented by a low-rank tensor decomposition. This is useful because complexity can be significantly reduced and the treatment of large-scale data sets…

机器学习 · 计算机科学 2021-08-10 Clara Menzen , Manon Kok , Kim Batselier

Deep subspace clustering models are vital for applications such as snowmelt detection, sea ice tracking, crop health monitoring, infectious disease modeling, network load prediction, and land-use planning, where multivariate spatiotemporal…

机器学习 · 计算机科学 2025-10-22 Francis Ndikum Nji , Vandana Janeja , Jianwu Wang

Decomposition-based multiobjective evolutionary algorithms (MOEAs) with clustering-based reference vector adaptation show good optimization performance for many-objective optimization problems (MaOPs). Especially, algorithms that employ a…

神经与进化计算 · 计算机科学 2024-10-04 Takato Kinoshita , Naoki Masuyama , Yiping Liu , Yusuke Nojima , Hisao Ishibuchi

Machine learning (ML) and tensor-based methods have been of significant interest for the scientific community for the last few decades. In a previous work we presented a novel tensor-based system identification framework to ease the…

机器学习 · 计算机科学 2023-06-30 Oliver Ploder , Christina Auer , Oliver Lang , Thomas Paireder , Mario Huemer

In this work, we firstly apply the Train-Tensor (TT) networks to construct a compact representation of the classical Multilayer Perceptron, representing a reduction of up to 95% of the coefficients. A comparative analysis between tensor…

机器学习 · 计算机科学 2021-03-31 M. Nazareth da Costa , R. Attux , A. Cichocki , J. M. T. Romano

Hierarchical clustering and community detection are important problems in machine learning and complex network analysis. A common approach to identify clusters is to simply cut dendrograms at some threshold. However, single-level cuts are…

物理与社会 · 物理学 2025-12-10 Louis Boucherie , Yong-Yeol Ahn , Sune Lehmann

Most multi-view clustering methods are limited by shallow models without sound nonlinear information perception capability, or fail to effectively exploit complementary information hidden in different views. To tackle these issues, we…

机器学习 · 计算机科学 2022-10-14 Fu Lele , Zhang Lei , Yang Jinghua , Chen Chuan , Zhang Chuanfu , Zheng Zibin

Although Transformers have successfully transitioned from their language modelling origins to image-based applications, their quadratic computational complexity remains a challenge, particularly for dense prediction. In this paper we…

计算机视觉与模式识别 · 计算机科学 2022-08-30 Yutong Xie , Jianpeng Zhang , Yong Xia , Anton van den Hengel , Qi Wu