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High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the "curse of dimensionality" states:…

Machine Learning · Computer Science 2020-01-22 Alexander N. Gorban , Valery A. Makarov , Ivan Y. Tyukin

Artificial intelligence, particularly the subfield of machine learning, has seen a paradigm shift towards data-driven models that learn from and adapt to data. This has resulted in unprecedented advancements in various domains such as…

Machine Learning · Computer Science 2023-10-26 Leonardo Petrini

The curse of dimensionality in the realm of association rules is twofold. Firstly, we have the well known exponential increase in computational complexity with increasing item set size. Secondly, there is a \emph{related curse} concerned…

Artificial Intelligence · Computer Science 2018-05-16 Tom Hanika , Friedrich Martin Schneider , Gerd Stumme

Technological innovations have revolutionized the process of scientific research and knowledge discovery. The availability of massive data and challenges from frontiers of research and development have reshaped statistical thinking, data…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Runze Li

Real-world datasets are often of high dimension and effected by the curse of dimensionality. This hinders their comprehensibility and interpretability. To reduce the complexity feature selection aims to identify features that are crucial to…

Machine Learning · Computer Science 2023-04-18 Maximilian Stubbemann , Tobias Hille , Tom Hanika

Errors or failures in a high-volume manufacturing environment can have significant impact that can result in both the loss of time and money. Identifying such failures early has been a top priority for manufacturing industries and various…

Machine Learning · Computer Science 2024-07-15 Siddarth Reddy Karuka , Abhinav Sunderrajan , Zheng Zheng , Yong Woon Tiean , Ganesh Nagappan , Allan Luk

Machine Learning algorithms have had a profound impact on the field of computer science over the past few decades. These algorithms performance is greatly influenced by the representations that are derived from the data in the learning…

Machine learning solutions, in particular those based on deep learning methods, form an underpinning of the current revolution in "artificial intelligence" that has dominated popular press headlines and is having a significant influence on…

Machine Learning · Computer Science 2019-03-28 Neil D. Lawrence

The advent of modern technology, permitting the measurement of thousands of characteristics simultaneously, has given rise to floods of data characterized by many large or even huge datasets. This new paradigm presents extraordinary…

Methodology · Statistics 2019-02-14 A. M. Pires , J. A. Branco

This paper discusses lexicon word learning in high-dimensional meaning spaces from the viewpoint of referential uncertainty. We investigate various state-of-the-art Machine Learning algorithms and discuss the impact of scaling,…

Computation and Language · Computer Science 2016-10-03 Michael Spranger , Katrien Beuls

Although learning in high dimensions is commonly believed to suffer from the curse of dimensionality, modern machine learning methods often exhibit an astonishing power to tackle a wide range of challenging real-world learning problems…

Machine Learning · Computer Science 2022-07-12 Lechao Xiao , Jeffrey Pennington

Deep learning algorithms are responsible for a technological revolution in a variety of tasks including image recognition or Go playing. Yet, why they work is not understood. Ultimately, they manage to classify data lying in high dimension…

Machine Learning · Computer Science 2021-01-01 Mario Geiger , Leonardo Petrini , Matthieu Wyart

Over the past few years, we have seen fundamental breakthroughs in core problems in machine learning, largely driven by advances in deep neural networks. At the same time, the amount of data collected in a wide array of scientific domains…

Machine Learning · Computer Science 2020-03-27 Maithra Raghu , Eric Schmidt

Multimedia technologies are now more practical and deployable in real life, and the algorithms are widely used in various researching areas such as deep learning, signal processing, haptics, computer vision, robotics, and medical multimedia…

Multimedia · Computer Science 2021-03-29 Zijian Kuang , Xinran Tie

Deep reinforcement learning has shown remarkable success in the past few years. Highly complex sequential decision making problems have been solved in tasks such as game playing and robotics. Unfortunately, the sample complexity of most…

Machine Learning · Computer Science 2020-12-03 Aske Plaat , Walter Kosters , Mike Preuss

With the rapid development of Internet and multimedia services in the past decade, a huge amount of user-generated and service provider-generated multimedia data become available. These data are heterogeneous and multi-modal in nature,…

Multimedia · Computer Science 2020-01-07 Wenwu Zhu , Xin Wang , Hongzhi Li

Curse of Dimensionality is an unavoidable challenge in statistical probability models, yet diffusion models seem to overcome this limitation, achieving impressive results in high-dimensional data generation. Diffusion models assume that…

Machine Learning · Statistics 2025-10-01 Zhenxin Zheng , Zhenjie Zheng

While deep learning excels in natural image and language processing, its application to high-dimensional data faces computational challenges due to the dimensionality curse. Current large-scale data tools focus on business-oriented…

Machine Learning · Computer Science 2025-07-01 Chen Zhang

The selection of features that are relevant for a prediction or classification problem is an important problem in many domains involving high-dimensional data. Selecting features helps fighting the curse of dimensionality, improving the…

Machine Learning · Computer Science 2009-09-04 Michel Verleysen , Fabrice Rossi , Damien François

In the past few years, machine learning-based approaches have had some great success for rendering animated feature films. This survey summarizes several of the most dramatic improvements in using deep neural networks over traditional…

Graphics · Computer Science 2020-05-27 Shilin Zhu
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