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Graph Signal Processing deals with the problem of analyzing and processing signals defined on graphs. In this paper, we introduce a novel filtering method for graph-based signals by employing ideas from topological data analysis. We begin…

Signal Processing · Electrical Eng. & Systems 2024-08-27 Matias de Jong van Lier , Sebastián Elías Graiff Zurita , Shizuo Kaji

The problem of extending a function $f$ defined on a training data $\mathcal{C}$ on an unknown manifold $\mathbb{X}$ to the entire manifold and a tubular neighborhood of this manifold is considered in this paper. For $\mathbb{X}$ embedded…

Machine Learning · Computer Science 2016-07-26 Charles K. Chui , H. N. Mhaskar

Data augmentation for deep learning benefits model training, image transformation, medical imaging analysis and many other fields. Many existing methods generate new samples from a parametric distribution, like the Gaussian, with little…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Elvis Han Cui , Bingbin Li , Yanan Li , Weng Kee Wong , Donghui Wang

Autoencoders learn data representations (codes) in such a way that the input is reproduced at the output of the network. However, it is not always clear what kind of properties of the input data need to be captured by the codes. Kernel…

Machine Learning · Statistics 2018-07-24 Michael Kampffmeyer , Sigurd Løkse , Filippo M. Bianchi , Robert Jenssen , Lorenzo Livi

Volumetric maps are widely used in robotics due to their desirable properties in applications such as path planning, exploration, and manipulation. Constant advances in mapping technologies are needed to keep up with the improvements in…

Robotics · Computer Science 2023-06-05 Victor Reijgwart , Cesar Cadena , Roland Siegwart , Lionel Ott

Conventionally, autoencoders are unsupervised representation learning tools. In this work, we propose a novel discriminative autoencoder. Use of supervised discriminative learning ensures that the learned representation is robust to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Anupriya Gogna , Angshul Majumdar

Extraction of local feature descriptors is a vital stage in the solution pipelines for numerous computer vision tasks. Learning-based approaches improve performance in certain tasks, but still cannot replace handcrafted features in general.…

Computer Vision and Pattern Recognition · Computer Science 2018-04-19 Kun He , Yan Lu , Stan Sclaroff

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

Wide accessibility of imaging and profile sensors in modern industrial systems created an abundance of high-dimensional sensing variables. This led to a a growing interest in the research of high-dimensional process monitoring. However,…

Machine Learning · Computer Science 2022-08-15 Nurettin Sergin , Hao Yan

Pruning well-trained neural networks is effective to achieve a promising accuracy-efficiency trade-off in computer vision regimes. However, most of existing pruning algorithms only focus on the classification task defined on the source…

Computer Vision and Pattern Recognition · Computer Science 2022-02-24 Ruichen Li , Binghui Li , Qi Qian , Liwei Wang

Intermediate feature representations represent the backbone for the expressivity and adaptability of deep neural networks. However, their geometric structure remains poorly understood. In this submission, we provide indirect insights into…

Machine Learning · Computer Science 2026-05-13 Elias B. Krey , Nils Neukirch , Nils Strodthoff

Automated decision-making is becoming key for automated characterization including electron and scanning probe microscopies and nano indentation. Most machine learning driven workflows optimize a single predefined objective and tend to…

Materials Science · Physics 2026-04-07 Kamyar Barakati , Boris N. Slautin , Utkarsh Pratiush , Hiroshi Funakubo , Sergei V. Kalinin

With the emergence of new photonic and plasmonic materials with optimized properties as well as advanced nanofabrication techniques, nanophotonic devices are now capable of providing solutions to global challenges in energy conversion,…

Autoencoders receive latent models of input data. It was shown in recent works that they also estimate probability density functions of the input. This fact makes using the Bayesian decision theory possible. If we obtain latent models of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-07 Vasily Morzhakov

We propose a computationally efficient wrapper feature selection method - called Autoencoder and Model Based Elimination of features using Relevance and Redundancy scores (AMBER) - that uses a single ranker model along with autoencoders to…

Machine Learning · Computer Science 2020-01-03 Sharan Ramjee , Aly El Gamal

A practical limitation of deep neural networks is their high degree of specialization to a single task and visual domain. Recently, inspired by the successes of transfer learning, several authors have proposed to learn instead universal,…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Sylvestre-Alvise Rebuffi , Hakan Bilen , Andrea Vedaldi

Manifold alignment (MA) involves a set of techniques for learning shared representations across domains, yet many traditional MA methods are incapable of performing out-of-sample extension, limiting their real-world applicability. We…

Machine Learning · Computer Science 2025-09-30 Jake S. Rhodes , Adam G. Rustad , Marshall S. Nielsen , Morgan Chase McClellan , Dallan Gardner , Dawson Hedges

Molecular dynamics simulations produce data with complex nonlinear dynamics. If the timestep behavior of such a dynamic system can be represented by a linear operator, future states can be inferred directly without expensive simulations.…

Machine Learning · Computer Science 2021-05-27 Willis Hoke , Daniel Shea , Stephen Casey

Interpolation methodologies have been widely used within the domain of indoor positioning systems. However, existing indoor positioning interpolation algorithms exhibit several inherent limitations, including reliance on complex…

Machine Learning · Computer Science 2023-11-28 Suorong Yang , Geng Zhang , Jian Zhao , Furao Shen

Anomaly detection in high-energy physics is essential for identifying new physics beyond the Standard Model. Autoencoders provide a signal-agnostic approach but are limited by the topology of their latent space. This work explores…

High Energy Physics - Phenomenology · Physics 2025-02-17 Vishal S. Ngairangbam , Błażej Rozwoda , Kazuki Sakurai , Michael Spannowsky