English
Related papers

Related papers: Dimension-reduced KRnet maps for high-dimensional …

200 papers

Variational Autoencoder (VAE), a simple and effective deep generative model, has led to a number of impressive empirical successes and spawned many advanced variants and theoretical investigations. However, recent studies demonstrate that,…

Machine Learning · Computer Science 2019-01-08 Xuezhe Ma , Chunting Zhou , Eduard Hovy

Unsupervised dimensionality reduction is one of the commonly used techniques in the field of high dimensional data recognition problems. The deep autoencoder network which constrains the weights to be non-negative, can learn a low…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Anyong Qin , Zhaowei Shang , Zhuolin Tan , Taiping Zhang , Yuan Yan Tang

Autonomous navigation of terrestrial robots using Reinforcement Learning (RL) from LIDAR observations remains challenging due to the high dimensionality of sensor data and the sample inefficiency of model-free approaches. Conventional…

We propose a sparse reconstruction framework (aNETT) for solving inverse problems. Opposed to existing sparse reconstruction techniques that are based on linear sparsifying transforms, we train an autoencoder network $D \circ E$ with $E$…

Numerical Analysis · Mathematics 2020-04-22 Daniel Obmann , Linh Nguyen , Johannes Schwab , Markus Haltmeier

Learning latent representations that are simultaneously expressive, geometrically well-structured, and reliably calibrated remains a central challenge for Variational Autoencoders (VAEs). Standard VAEs typically assume a diagonal Gaussian…

Machine Learning · Computer Science 2025-12-02 Mehmet Can Yavuz

All-in-one image restoration aims to handle diverse degradations within a single model. However, existing methods often suffer from three key limitations: 1) per-input computational overhead from dynamic degradation estimation; 2)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Ao Li , Xiaoning Liu , Sheng Li , Yapeng Du , Zhen Long , Lei Luo , Le Zhang , Ce Zhu

Advancements in modern science have led to the increasing availability of non-Euclidean data in metric spaces. This paper addresses the challenge of modeling relationships between non-Euclidean responses and multivariate Euclidean…

Methodology · Statistics 2025-05-13 Su I Iao , Yidong Zhou , Hans-Georg Müller

The volume of remote sensing data is experiencing rapid growth, primarily due to the plethora of space and air platforms equipped with an array of sensors. Due to limited hardware and battery constraints the data is transmitted back to…

Image and Video Processing · Electrical Eng. & Systems 2024-04-18 Alessandro Giuliano , S. Andrew Gadsden , Waleed Hilal , John Yawney

This paper introduces a two-stage generative AI (GenAI) framework tailored for temporal spectrum cartography in low-altitude economy networks (LAENets). LAENets, characterized by diverse aerial devices such as UAVs, rely heavily on wireless…

Signal Processing · Electrical Eng. & Systems 2025-05-22 Changyuan Zhao , Ruichen Zhang , Jiacheng Wang , Dusit Niyato , Geng Sun , Hongyang Du , Zan Li , Abbas Jamalipour , Dong In Kim

We introduce a Deep Kernel Learning Variational Autoencoder (VAE-DKL) framework that integrates the generative power of a Variational Autoencoder (VAE) with the predictive nature of Deep Kernel Learning (DKL). The VAE learns a latent…

Machine Learning · Computer Science 2025-03-06 Boris N. Slautin , Utkarsh Pratiush , Doru C. Lupascu , Maxim A. Ziatdinov , Sergei V. Kalinin

As a widely recognized approach to deep generative modeling, Variational Auto-Encoders (VAEs) still face challenges with the quality of generated images, often presenting noticeable blurriness. This issue stems from the unrealistic…

Machine Learning · Computer Science 2023-05-22 Georgios Batzolis , Jan Stanczuk , Carola-Bibiane Schönlieb

An important property for deep neural networks is the ability to perform robust out-of-distribution detection on previously unseen data. This property is essential for safety purposes when deploying models for real world applications.…

Machine Learning · Computer Science 2022-04-14 Griffin Floto , Stefan Kremer , Mihai Nica

The choice of an appropriate bottleneck dimension and the application of effective regularization are both essential for Autoencoders to learn meaningful representations from unlabeled data. In this paper, we introduce a new class of…

Machine Learning · Computer Science 2025-03-26 Jad Mounayer , Sebastian Rodriguez , Chady Ghnatios , Charbel Farhat , Francisco Chinesta

Recent research has shown a strong theoretical connection between variational autoencoders (VAEs) and the rate-distortion theory. Motivated by this, we consider the problem of lossy image compression from the perspective of generative…

Image and Video Processing · Electrical Eng. & Systems 2023-03-28 Zhihao Duan , Ming Lu , Zhan Ma , Fengqing Zhu

We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

The intrinsic dimensionality of an inverse problem is affected by prior information, the accuracy and number of observations, and the smoothing properties of the forward operator. From a Bayesian perspective, changes from the prior to the…

Computation · Statistics 2016-05-03 Tiangang Cui , James Martin , Youssef M. Marzouk , Antti Solonen , Alessio Spantini

Model based iterative reconstruction (MBIR) algorithms for low-dose X-ray CT are computationally complex because of the repeated use of the forward and backward projection. Inspired by this success of deep learning in computer vision…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Eunhee Kang , junhong Min , Jong Chul Ye

Purpose: To propose a novel deep learning-based method called RG-Net (reconstruction and generation network) for highly accelerated MR parametric mapping by undersampling k-space and reducing the acquired contrast number simultaneously.…

Image and Video Processing · Electrical Eng. & Systems 2021-12-03 Yanjie Zhu , Haoxiang Li , Yuanyuan Liu , Muzi Guo , Guanxun Cheng , Gang Yang , Haifeng Wang , Dong Liang

Predicting the evolution of systems that exhibit spatio-temporal dynamics in response to external stimuli is a key enabling technology fostering scientific innovation. Traditional equations-based approaches leverage first principles to…

Machine Learning · Computer Science 2023-05-02 Francesco Regazzoni , Stefano Pagani , Matteo Salvador , Luca Dede' , Alfio Quarteroni

The Bayesian approach to solving inverse problems relies on the choice of a prior. This critical ingredient allows the formulation of expert knowledge or physical constraints in a probabilistic fashion and plays an important role for the…

Machine Learning · Statistics 2022-11-08 Manuel Marschall , Gerd Wübbeler , Franko Schmähling , Clemens Elster