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Tensor decomposition is an important technique for capturing the high-order interactions among multiway data. Multi-linear tensor composition methods, such as the Tucker decomposition and the CANDECOMP/PARAFAC (CP), assume that the complex…

机器学习 · 统计学 2016-11-04 Bin Liu , Zenglin Xu , Yingming Li

Nonnegative CANDECOMP/PARAFAC (NCP) decomposition is an important tool to process nonnegative tensor. Sometimes, additional sparse regularization is needed to extract meaningful nonnegative and sparse components. Thus, an optimization…

机器学习 · 统计学 2018-12-31 Deqing Wang , Fengyu Cong , Tapani Ristaniemi

The damped Gauss-Newton (dGN) algorithm for CANDECOMP/PARAFAC (CP) decomposition can handle the challenges of collinearity of factors and different magnitudes of factors; nevertheless, for factorization of an $N$-D tensor of size $I_1\times…

数值分析 · 计算机科学 2015-03-20 Anh Huy Phan , Petr Tichavský , Andrzej Cichocki

Factorizing tensors has recently become an important optimization module in a number of machine learning pipelines, especially in latent variable models. We show how to do this efficiently in the streaming setting. Given a set of $n$…

机器学习 · 计算机科学 2020-07-14 Rachit Chhaya , Jayesh Choudhari , Anirban Dasgupta , Supratim Shit

Consider traffic data (i.e., triplets in the form of source-destination-timestamp) that grow over time. Tensors (i.e., multi-dimensional arrays) with a time mode are widely used for modeling and analyzing such multi-aspect data streams. In…

机器学习 · 计算机科学 2021-03-03 Taehyung Kwon , Inkyu Park , Dongjin Lee , Kijung Shin

How can we find patterns and anomalies in a tensor, or multi-dimensional array, in an efficient and directly interpretable way? How can we do this in an online environment, where a new tensor arrives each time step? Finding patterns and…

数值分析 · 计算机科学 2018-09-05 Jungwoo Lee , Dongjin Choi , Lee Sael

The nonlinear filtering problem is concerned with finding the conditional probability distribution (posterior) of the state of a stochastic dynamical system, given a history of partial and noisy observations. This paper presents a…

最优化与控制 · 数学 2024-03-26 Mohammad Al-Jarrah , Bamdad Hosseini , Amirhossein Taghvaei

Federated Learning (FL) is an emerging domain in the broader context of artificial intelligence research. Methodologies pertaining to FL assume distributed model training, consisting of a collection of clients and a server, with the main…

机器学习 · 计算机科学 2023-05-09 Bhargav Ganguly , Vaneet Aggarwal

Machine unlearning seeks to remove the influence of particular data or class from trained models to meet privacy, legal, or ethical requirements. Existing unlearning methods tend to forget shallowly: phenomenon of an unlearned model pretend…

机器学习 · 计算机科学 2025-07-23 Jaeheun Jung , Bosung Jung , Suhyun Bae , Donghun Lee

Effective management of urban traffic is important for any smart city initiative. Therefore, the quality of the sensory traffic data is of paramount importance. However, like any sensory data, urban traffic data are prone to imperfections…

机器学习 · 计算机科学 2021-03-16 Ahmed Ben Said , Abdelkarim Erradi

Decision-focused learning (DFL) is an increasingly popular paradigm for training predictive models whose outputs are used in decision-making tasks. Instead of merely optimizing for predictive accuracy, DFL trains models to directly minimize…

Real-time prediction plays a vital role in various control systems, such as traffic congestion control and wireless channel resource allocation. In these scenarios, the predictor usually needs to track the evolution of the latent…

最优化与控制 · 数学 2024-08-14 Zhenting Luan , Defeng Sun , Haoning Wang , Liping Zhang

A new paradigm for large-scale spectrum occupancy learning based on long short-term memory (LSTM) recurrent neural networks is proposed. Studies have shown that spectrum usage is a highly correlated time series. Moreover, there is a…

信号处理 · 电气工程与系统科学 2019-05-14 Mohsen Joneidi , Ismail Alkhouri , Nazanin Rahnavard

Since its inception in 1982, Oja's algorithm has become an established method for streaming principle component analysis (PCA). We study the problem of streaming PCA, where the data-points are sampled from an irreducible, aperiodic, and…

统计理论 · 数学 2023-06-21 Syamantak Kumar , Purnamrita Sarkar

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

机器学习 · 统计学 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

We consider $N$-way data arrays and low-rank tensor factorizations where the time mode is coded as a sparse linear combination of temporal elements from an over-complete library. Our method, Shape Constrained Tensor Decomposition (SCTD) is…

机器学习 · 统计学 2016-08-17 Bethany Lusch , Eric C. Chi , J. Nathan Kutz

We study the efficient learnability of low-degree polynomial threshold functions (PTFs) in the presence of a constant fraction of adversarial corruptions. Our main algorithmic result is a polynomial-time PAC learning algorithm for this…

数据结构与算法 · 计算机科学 2024-04-02 Ilias Diakonikolas , Daniel M. Kane , Vasilis Kontonis , Sihan Liu , Nikos Zarifis

Neural collaborative filtering (NCF) and recurrent recommender systems (RRN) have been successful in modeling user-item relational data. However, they are also limited in their assumption of static or sequential modeling of relational data…

机器学习 · 计算机科学 2018-02-14 Xian Wu , Baoxu Shi , Yuxiao Dong , Chao Huang , Nitesh Chawla

The CANDECOMP/PARAFAC (CP) decomposition is a generalization of the spectral decomposition of matrices to higher-order tensors. In this paper we use the CP decomposition to study unitary equivalence of higher order tensors and construct…

量子物理 · 物理学 2022-05-16 Jingmei Chang , Naihuan Jing

Decentralized optimization algorithms have received much attention due to the recent advances in network information processing. However, conventional decentralized algorithms based on projected gradient descent are incapable of handling…

最优化与控制 · 数学 2018-08-29 Hoi-To Wai , Jean Lafond , Anna Scaglione , Eric Moulines