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We propose a novel approach for preserving topological structures of the input space in latent representations of autoencoders. Using persistent homology, a technique from topological data analysis, we calculate topological signatures of…

机器学习 · 计算机科学 2021-06-01 Michael Moor , Max Horn , Bastian Rieck , Karsten Borgwardt

Wireless signal strength based localization can enable robust localization for robots using inexpensive sensors. For this, a location-to-signal-strength map has to be learned for each access point in the environment. Due to the ubiquity of…

信号处理 · 电气工程与系统科学 2020-10-30 Renato Miyagusuku , Koichi Ozaki

We propose a method for learning topology-preserving data representations (dimensionality reduction). The method aims to provide topological similarity between the data manifold and its latent representation via enforcing the similarity in…

We present the self-encoder, a neural network trained to guess the identity of each data sample. Despite its simplicity, it learns a very useful representation of data, in a self-supervised way. Specifically, the self-encoder learns to…

机器学习 · 计算机科学 2023-06-27 Armand Boschin , Thomas Bonald , Marc Jeanmougin

We propose a new method for local distance metric learning based on sample similarity as side information. These local metrics, which utilize conical combinations of metric weight matrices, are learned from the pooled spatial…

机器学习 · 计算机科学 2019-02-25 YInjie Huang , Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Most existing feature learning methods optimize inflexible handcrafted features and the affinity matrix is constructed by shallow linear embedding methods. Different from these conventional methods, we pretrain a generative neural network…

计算机视觉与模式识别 · 计算机科学 2019-10-02 Changlu Chen , Chaoxi Niu , Xia Zhan , Kun Zhan

Learning node representations is a fundamental problem in graph machine learning. While existing embedding methods effectively preserve local similarity measures, they often fail to capture global functions like graph distances. Inspired by…

机器学习 · 统计学 2025-10-20 My Le , Luana Ruiz , Souvik Dhara

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

机器学习 · 计算机科学 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Conformal Autoencoders are a neural network architecture that imposes orthogonality conditions between the gradients of latent variables to obtain disentangled representations of data. In this work we show that orthogonality relations…

机器学习 · 计算机科学 2025-07-14 George A. Kevrekidis , Zan Ahmad , Mauro Maggioni , Soledad Villar , Yannis G. Kevrekidis

Autoencoders are certainly among the most studied and used Deep Learning models: the idea behind them is to train a model in order to reconstruct the same input data. The peculiarity of these models is to compress the information through a…

机器学习 · 计算机科学 2023-09-06 Gabriele Martino , Davide Moroni , Massimo Martinelli

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

机器学习 · 统计学 2018-04-04 Christoph Wehmeyer , Frank Noé

Though graph representation learning (GRL) has made significant progress, it is still a challenge to extract and embed the rich topological structure and feature information in an adequate way. Most existing methods focus on local structure…

机器学习 · 计算机科学 2022-12-09 Ruiyi Fang , Liangjian Wen , Zhao Kang , Jianzhuang Liu

We show that using nearest neighbours in the latent space of autoencoders (AE) significantly improves performance of semi-supervised novelty detection in both single and multi-class contexts. Autoencoding methods detect novelty by learning…

机器学习 · 计算机科学 2022-10-12 Michael Mesarcik , Elena Ranguelova , Albert-Jan Boonstra , Rob V. van Nieuwpoort

Continuous dynamical systems are cornerstones of many scientific and engineering disciplines. While machine learning offers powerful tools to model these systems from trajectory data, challenges arise when these trajectories are captured as…

机器学习 · 计算机科学 2025-02-04 Aiqing Zhu , Yuting Pan , Qianxiao Li

Local learning of sparse image models has proven to be very effective to solve inverse problems in many computer vision applications. To learn such models, the data samples are often clustered using the K-means algorithm with the Euclidean…

计算机视觉与模式识别 · 计算机科学 2016-04-20 Julio Cesar Ferreira , Elif Vural , Christine Guillemot

We study the problem of learning representations with controllable connectivity properties. This is beneficial in situations when the imposed structure can be leveraged upstream. In particular, we control the connectivity of an…

机器学习 · 计算机科学 2019-06-24 Christoph Hofer , Roland Kwitt , Mandar Dixit , Marc Niethammer

Noting the importance of the latent variables in inference and learning, we propose a novel framework for autoencoders based on the homeomorphic transformation of latent variables, which could reduce the distance between vectors in the…

机器学习 · 计算机科学 2019-06-04 Jaehoon Cha , Kyeong Soo Kim , Sanghyuk Lee

In this paper, we propose a novel trajectory learning method that exploits motion trajectories on topological map using recurrent neural network for temporally consistent geolocalization of object. Inspired by human's ability to both be…

计算机视觉与模式识别 · 计算机科学 2020-10-14 Bing Zha , Alper Yilmaz

Recent medical image reconstruction techniques focus on generating high-quality medical images suitable for clinical use at the lowest possible cost and with the fewest possible adverse effects on patients. Recent works have shown…

图像与视频处理 · 电气工程与系统科学 2025-01-07 Shijun Liang , Anish Lahiri , Saiprasad Ravishankar

When training automated systems, it has been shown to be beneficial to adapt the representation of data by learning a problem-specific metric. This metric is global. We extend this idea and, for the widely used family of k nearest neighbors…

机器学习 · 计算机科学 2021-09-30 Jan Philip Göpfert , Heiko Wersing , Barbara Hammer
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