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Finding a reduction of complex, high-dimensional dynamics to its essential, low-dimensional "heart" remains a challenging yet necessary prerequisite for designing efficient numerical approaches. Machine learning methods have the potential…

Dynamical Systems · Mathematics 2022-06-15 Przemyslaw Zielinski , Jan S. Hesthaven

Recently, self-supervised learning has proved to be effective to learn representations of events suitable for temporal segmentation in image sequences, where events are understood as sets of temporally adjacent images that are semantically…

Machine Learning · Computer Science 2020-12-11 Mariella Dimiccoli , Herwig Wendt

Dimension reduction and data visualization aim to project a high-dimensional dataset to a low-dimensional space while capturing the intrinsic structures in the data. It is an indispensable part of modern data science, and many dimensional…

Machine Learning · Statistics 2022-10-26 Rong Ma , Eric D. Sun , James Zou

We propose a new representation of visual data that disentangles object position from appearance. Our method, termed Deep Latent Particles (DLP), decomposes the visual input into low-dimensional latent ``particles'', where each particle is…

Computer Vision and Pattern Recognition · Computer Science 2022-07-27 Tal Daniel , Aviv Tamar

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

Swept Volume (SV), the volume displaced by an object when it is moving along a trajectory, is considered a useful metric for motion planning. First, SV has been used to identify collisions along a trajectory, because it directly measures…

Robotics · Computer Science 2018-05-30 Hao-Tien Lewis Chiang , Aleksandra Faust , Lydia Tapia

We propose a computationally light method for estimating similarities between text documents, which we call the density similarity (DS) method. The method is based on a word embedding in a high-dimensional Euclidean space and on kernel…

Computation and Language · Computer Science 2020-09-03 Ilia Rushkin

Classical network embeddings create a low dimensional representation of the learned relationships between features across nodes. Such embeddings are important for tasks such as link prediction and node classification. In the current paper,…

Artificial Intelligence · Computer Science 2021-03-15 Chris Connell , Yang Wang

Previous work has established that neural network-based node embeddings return different outcomes when trained with identical parameters on the same dataset, just from using different training seeds. Yet, it has not been thoroughly analyzed…

Machine Learning · Computer Science 2026-04-10 Tobias Schumacher , Simon Reichelt , Markus Strohmaier

The monitoring and management of high-volume feature-rich traffic in large networks offers significant challenges in storage, transmission and computational costs. The predominant approach to reducing these costs is based on performing a…

Machine Learning · Computer Science 2016-06-16 Tingshan Huang , Harish Sethu , Nagarajan Kandasamy

Graph-based methods are known to be successful in many machine learning and pattern classification tasks. These methods consider semi-structured data as graphs where nodes correspond to primitives (parts, interest points, segments, etc.)…

Computer Vision and Pattern Recognition · Computer Science 2019-01-01 Anjan Dutta , Hichem Sahbi

Network embedding is a very important method for network data. However, most of the algorithms can only deal with static networks. In this paper, we propose an algorithm Recurrent Neural Network Embedding (RNNE) to deal with dynamic…

Machine Learning · Computer Science 2020-07-01 Haiwei Huang , Jinlong Li , Huimin He , Huanhuan Chen

We introduce Locally Linear Embedding (LLE) to the astronomical community as a new classification technique, using SDSS spectra as an example data set. LLE is a nonlinear dimensionality reduction technique which has been studied in the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-13 J. T. VanderPlas , A. J. Connolly

Visualizing high dimensional data by projecting them into two or three dimensional space is one of the most effective ways to intuitively understand the data's underlying characteristics, for example their class neighborhood structure.…

Machine Learning · Computer Science 2020-04-06 Pitoyo Hartono

Several works have proposed to learn a two-path neural network that maps images and texts, respectively, to a same shared Euclidean space where geometry captures useful semantic relationships. Such a multi-modal embedding can be trained and…

Computer Vision and Pattern Recognition · Computer Science 2018-04-09 Martin Engilberge , Louis Chevallier , Patrick Pérez , Matthieu Cord

Dimensionality reduction techniques map values from a high dimensional space to one with a lower dimension. The result is a space which requires less physical memory and has a faster distance calculation. These techniques are widely used…

Information Retrieval · Computer Science 2024-02-14 Richard Connor , Lucia Vadicamo

Network embedding aims at projecting the network data into a low-dimensional feature space, where the nodes are represented as a unique feature vector and network structure can be effectively preserved. In recent years, more and more online…

Social and Information Networks · Computer Science 2017-11-28 Jiawei Zhang , Congying Xia , Chenwei Zhang , Limeng Cui , Yanjie Fu , Philip S. Yu

Nonlinear data visualization using t-distributed stochastic neighbor embedding (t-SNE) enables the representation of complex single-cell transcriptomic landscapes in two or three dimensions to depict biological populations accurately.…

Genomics · Quantitative Biology 2024-10-02 Hui Ma , Kai Chen

Standard Adjacency Spectral Embedding (ASE) relies on a global low-rank assumption often incompatible with the sparse, transitive structure of real-world networks, causing local geometric features to be 'smeared'. To address this, we…

Machine Learning · Statistics 2026-03-13 Hannah Sansford , Nick Whiteley , Patrick Rubin-Delanchy

The t-distributed Stochastic Neighbor Embedding (tSNE) algorithm has become in recent years one of the most used and insightful techniques for the exploratory data analysis of high-dimensional data. tSNE reveals clusters of high-dimensional…

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