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The last decade has witnessed an experimental revolution in data science and machine learning, epitomised by deep learning methods. Indeed, many high-dimensional learning tasks previously thought to be beyond reach -- such as computer…

Machine Learning · Computer Science 2021-05-04 Michael M. Bronstein , Joan Bruna , Taco Cohen , Petar Veličković

Principal component analysis (PCA) has well-documented merits for data extraction and dimensionality reduction. PCA deals with a single dataset at a time, and it is challenged when it comes to analyzing multiple datasets. Yet in certain…

Machine Learning · Computer Science 2017-10-27 Gang Wang , Jia Chen , Georgios B. Giannakis

Graph Neural Networks (GNNs) are a class of neural networks designed to extract information from the graphical structure of data. Graph Convolutional Networks (GCNs) are a widely used type of GNN for transductive graph learning problems…

Machine Learning · Computer Science 2022-12-05 Matthew Adiletta , David Brooks , Gu-Yeon Wei

Estimating a scene's depth to achieve collision avoidance against moving pedestrians is a crucial and fundamental problem in the robotic field. This paper proposes a novel, low complexity network architecture for fast and accurate human…

Computer Vision and Pattern Recognition · Computer Science 2021-08-25 Shan An , Fangru Zhou , Mei Yang , Haogang Zhu , Changhong Fu , Konstantinos A. Tsintotas

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu

There is an increased interest in building data analytics frameworks with advanced algebraic capabilities both in industry and academia. Many of these frameworks, e.g., TensorFlow and BIDMach, implement their compute-intensive primitives in…

Databases · Computer Science 2018-02-27 Yujing Ma , Florin Rusu , Martin Torres

Dimensionality reduction is an essential technique for multi-way large-scale data, i.e., tensor. Tensor ring (TR) decomposition has become popular due to its high representation ability and flexibility. However, the traditional TR…

Numerical Analysis · Mathematics 2024-12-20 Longhao Yuan , Chao Li , Jianting Cao , Qibin Zhao

The low-level details and high-level semantics are both essential to the semantic segmentation task. However, to speed up the model inference, current approaches almost always sacrifice the low-level details, which leads to a considerable…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Changqian Yu , Changxin Gao , Jingbo Wang , Gang Yu , Chunhua Shen , Nong Sang

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

Gaussian processes are a powerful framework for quantifying uncertainty and for sequential decision-making but are limited by the requirement of solving linear systems. In general, this has a cubic cost in dataset size and is sensitive to…

Dimensionality reduction (DR) techniques map high-dimensional data into lower-dimensional spaces. Yet, current DR techniques are not designed to explore semantic structure that is not directly available in the form of variables or class…

Machine Learning · Computer Science 2025-06-19 Artur André Oliveira , Mateus Espadoto , Roberto Hirata , Roberto M. Cesar , Alex C. Telea

This paper focuses on the challenging task of learning 3D object surface reconstructions from single RGB images. Existing methods achieve varying degrees of success by using different geometric representations. However, they all have their…

Computer Vision and Pattern Recognition · Computer Science 2019-04-11 Jiapeng Tang , Xiaoguang Han , Junyi Pan , Kui Jia , Xin Tong

Active area of research in AI is the theory of manifold learning and finding lower-dimensional manifold representation on how we can learn geometry from data for providing better quality curated datasets. There are however various issues…

Machine Learning · Computer Science 2024-10-16 Liubov Tupikina , Kathuria Hritika

As language models have grown in parameters and layers, it has become much harder to train and infer with them on single GPUs. This is severely restricting the availability of large language models such as GPT-3, BERT-Large, and many…

Computation and Language · Computer Science 2022-12-29 Jasdeep Singh Grover , Bhavesh Gawri , Ruskin Raj Manku

3D Gaussian Splatting (3DGS) has emerged as a mainstream solution for novel view synthesis and 3D reconstruction. By explicitly encoding a 3D scene using a collection of Gaussian kernels, 3DGS achieves high-quality rendering with superior…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Lei Lan , Tianjia Shao , Zixuan Lu , Yu Zhang , Chenfanfu Jiang , Yin Yang

Solving large-scale optimization on-the-fly is often a difficult task for real-time computer graphics applications. To tackle this challenge, model reduction is a well-adopted technique. Despite its usefulness, model reduction often…

Graphics · Computer Science 2015-06-30 Jianbo Ye , Zhixin Yan

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

Dimensionality reduction has become an important research topic as demand for interpreting high-dimensional datasets has been increasing rapidly in recent years. There have been many dimensionality reduction methods with good performance in…

Machine Learning · Computer Science 2022-12-01 Qiaodan Luo , Leonardo Christino , Fernando V Paulovich , Evangelos Milios

One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in…

Machine Learning · Computer Science 2025-05-12 Sergio García-Heredia , Ángela Fernández , Carlos M. Alaíz

Graph partitioning aims to divide a graph into disjoint subsets while optimizing a specific partitioning objective. The majority of formulations related to graph partitioning exhibit NP-hardness due to their combinatorial nature.…

Machine Learning · Computer Science 2024-06-24 Rishi Shah , Krishnanshu Jain , Sahil Manchanda , Sourav Medya , Sayan Ranu