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High-dimensional multivariate time series are challenging due to the dependent and high-dimensional nature of the data, but in many applications there is additional structure that can be exploited to reduce computing time along with…

Methodology · Statistics 2020-03-13 Michael Schweinberger , Sergii Babkin , Katherine Ensor

Sequential learning -- where complex tasks are broken down into simpler, hierarchical components -- has emerged as a paradigm in AI. This paper views sequential learning through the lens of low-rank linear regression, focusing specifically…

Machine Learning · Computer Science 2025-05-29 Mahtab Alizadeh Vandchali , Fangshuo , Liao , Anastasios Kyrillidis

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Aleatoric uncertainty is an intrinsic property of ill-posed inverse and imaging problems. Its quantification is vital for assessing the reliability of relevant point estimates. In this paper, we propose an efficient framework for…

Image and Video Processing · Electrical Eng. & Systems 2020-01-16 Chen Zhang , Bangti Jin

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition…

Machine Learning · Statistics 2026-03-24 Shixiang Liu , Zhifan Li , Hanming Yang , Jianxin Yin

Single image superresolution has been a popular research topic in the last two decades and has recently received a new wave of interest due to deep neural networks. In this paper, we approach this problem from a different perspective. With…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 Weifeng Ge , Bingchen Gong , Yizhou Yu

Reliable outlier detection in high-dimensional data is crucial in modern science, yet it remains a challenging task. Traditional methods often break down in these settings due to their reliance on asymptotic behaviors with respect to sample…

Methodology · Statistics 2025-11-05 Seong-ho Lee , Yongho Jeon

Brain-inspired hyperdimensional computing (HDC) has been recently considered a promising learning approach for resource-constrained devices. However, existing approaches use static encoders that are never updated during the learning…

Machine Learning · Computer Science 2023-04-13 Junyao Wang , Sitao Huang , Mohsen Imani

High-dimensional big data appears in many research fields such as image recognition, biology and collaborative filtering. Often, the exploration of such data by classic algorithms is encountered with difficulties due to `curse of…

Machine Learning · Computer Science 2016-07-13 Amit Bermanis , Aviv Rotbart , Moshe Salhov , Amir Averbuch

In large-scale distributed scenarios, increasingly complex tasks demand more intelligent collaboration across networks, requiring the joint extraction of structural representations from data samples. However, conventional task-specific…

Machine Learning · Computer Science 2026-04-21 Zhuojun Tian , Chaouki Ben Issaid , Mehdi Bennis

In this work we present a formal theoretical framework for assessing and analyzing two classes of malevolent action towards generic Artificial Intelligence (AI) systems. Our results apply to general multi-class classifiers that map from an…

Machine Learning · Computer Science 2021-01-01 Ivan Y. Tyukin , Desmond J. Higham , Alexander N. Gorban

An active learning algorithm for the classification of high-dimensional images is proposed in which spatially-regularized nonlinear diffusion geometry is used to characterize cluster cores. The proposed method samples from estimated cluster…

Machine Learning · Computer Science 2019-11-07 James M. Murphy

We consider the problem of high-dimensional non-linear variable selection for supervised learning. Our approach is based on performing linear selection among exponentially many appropriately defined positive definite kernels that…

Machine Learning · Computer Science 2009-09-08 Francis Bach

The automated construction of coarse-grained models represents a pivotal component in computer simulation of physical systems and is a key enabler in various analysis and design tasks related to uncertainty quantification. Pertinent methods…

Machine Learning · Statistics 2019-09-11 Constantin Grigo , Phaedon-Stelios Koutsourelakis

Selectivity estimation aims at estimating the number of database objects that satisfy a selection criterion. Answering this problem accurately and efficiently is essential to many applications, such as density estimation, outlier detection,…

Databases · Computer Science 2021-05-28 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Rui Mao , Onizuka Makoto , Wei Wang , Rui Zhang , Yoshiharu Ishikawa

Conventional application of convolutional neural networks (CNNs) for image classification and recognition is based on the assumption that all target classes are equal(i.e., no hierarchy) and exclusive of one another (i.e., no overlap).…

Machine Learning · Computer Science 2019-06-04 Jaehoon Cha , Kyeong Soo Kim , Sanghyuk Lee

Few-shot and one-shot learning have been the subject of active and intensive research in recent years, with mounting evidence pointing to successful implementation and exploitation of few-shot learning algorithms in practice. Classical…

Machine Learning · Computer Science 2023-12-07 Ivan Y. Tyukin , Alexander N. Gorban , Muhammad H. Alkhudaydi , Qinghua Zhou

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

High-dimensional datasets depict a challenge for learning tasks in data mining and machine learning. Feature selection is an effective technique in dealing with dimensionality reduction. It is often an essential data processing step prior…

Machine Learning · Computer Science 2023-09-18 Gustavo Sosa-Cabrera , Santiago Gómez-Guerrero , Miguel García-Torres , Christian E. Schaerer