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Since most inverse problems arising in scientific and engineering applications are ill-posed, prior information about the solution space is incorporated, typically through regularization, to establish a well-posed problem with a unique…

信号处理 · 电气工程与系统科学 2024-06-18 Carter Lyons , Raghu G. Raj , Margaret Cheney

Recently, deep generative models have become increasingly popular in unsupervised anomaly detection. However, deep generative models aim at recovering the data distribution rather than detecting anomalies. Besides, deep generative models…

机器学习 · 计算机科学 2019-11-15 Xuhong Wang , Ying Du , Shijie Lin , Ping Cui , Yuntian Shen , Yupu Yang

Training deep generative models like Variational Autoencoders (VAEs) requires propagating gradients through stochastic latent variables, which introduces estimation variance that can slow convergence and degrade performance. In this paper,…

机器学习 · 计算机科学 2026-02-27 Zilei Shao , Anji Liu , Guy Van den Broeck

In this work we explore deep generative models of text in which the latent representation of a document is itself drawn from a discrete language model distribution. We formulate a variational auto-encoder for inference in this model and…

计算与语言 · 计算机科学 2016-10-17 Yishu Miao , Phil Blunsom

Recent advances in deep generative modeling have enabled efficient modeling of high dimensional data distributions and opened up a new horizon for solving data compression problems. Specifically, autoencoder based learned image or video…

机器学习 · 计算机科学 2020-04-10 Adam Golinski , Reza Pourreza , Yang Yang , Guillaume Sautiere , Taco S Cohen

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

信息论 · 计算机科学 2014-02-25 Yuli Sun , Jinxu Tao

Empirical evidence shows that deep vision networks often represent concepts as directions in latent space with concept information written along directional components in the vector representation of the input. However, the mechanism to…

计算机视觉与模式识别 · 计算机科学 2026-03-11 Alexandros Doumanoglou , Kurt Driessens , Dimitrios Zarpalas

Probabilistic generative models are attractive for scientific modeling because their inferred parameters can be used to generate hypotheses and design experiments. This requires that the learned model provide an accurate representation of…

机器学习 · 统计学 2023-01-18 Liyun Tu , Austin Talbot , Neil Gallagher , David Carlson

Deep generative models with latent variables have been used lately to learn joint representations and generative processes from multi-modal data. These two learning mechanisms can, however, conflict with each other and representations can…

机器学习 · 计算机科学 2023-01-24 Rogelio A. Mancisidor , Michael Kampffmeyer , Kjersti Aas , Robert Jenssen

This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

统计理论 · 数学 2016-09-05 Rui M. Castro , Ervin Tánczos

The task of compressed sensing is to recover a sparse vector from a small number of linear and non-adaptive measurements, and the problem of finding a suitable measurement matrix is very important in this field. While most recent works…

信息论 · 计算机科学 2012-12-18 Yi-Zheng Fan , Tao Huang , Ming Zhu

We discuss how recently discovered techniques and tools from compressed sensing can be used in tensor decompositions, with a view towards modeling signals from multiple arrays of multiple sensors. We show that with appropriate bounds on a…

数值分析 · 数学 2015-05-18 Lek-Heng Lim , Pierre Comon

This paper presents a novel compressed sensing (CS) approach to high dimensional wireless channel estimation by optimizing the input to a deep generative network. Channel estimation using generative networks relies on the assumption that…

信号处理 · 电气工程与系统科学 2020-06-25 Eren Balevi , Akash Doshi , Ajil Jalal , Alexandros Dimakis , Jeffrey G. Andrews

As a lossy compression framework, compressed sensing has drawn much attention in wireless telemonitoring of biosignals due to its ability to reduce energy consumption and make possible the design of low-power devices. However, the…

信息论 · 计算机科学 2014-04-22 Zhilin Zhang , Bhaskar D. Rao , Tzyy-Ping Jung

In this paper, we propose a general framework for designing sensing matrix $\boldsymbol{A} \in \mathbb{R}^{d\times p}$, for estimation of sparse covariance matrix from compressed measurements of the form $\boldsymbol{y} =…

信息论 · 计算机科学 2022-11-16 Muralikrishnna G. Sethuraman , Hang Zhang , Faramarz Fekri

Unsupervised learning is of growing interest because it unlocks the potential held in vast amounts of unlabelled data to learn useful representations for inference. Autoencoders, a form of generative model, may be trained by learning to…

计算机视觉与模式识别 · 计算机科学 2018-01-08 Antonia Creswell , Anil Anthony Bharath

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

Employing a forward diffusion chain to gradually map the data to a noise distribution, diffusion-based generative models learn how to generate the data by inferring a reverse diffusion chain. However, this approach is slow and costly…

机器学习 · 统计学 2023-09-08 Huangjie Zheng , Pengcheng He , Weizhu Chen , Mingyuan Zhou

Invariance to spatial transformations such as translations and rotations is a desirable property and a basic design principle for classification neural networks. However, the commonly used convolutional neural networks (CNNs) are actually…

机器学习 · 计算机科学 2023-06-30 Yihan Wang , Lijia Yu , Xiao-Shan Gao

The latent spaces of GAN models often have semantically meaningful directions. Moving in these directions corresponds to human-interpretable image transformations, such as zooming or recoloring, enabling a more controllable generation…

机器学习 · 计算机科学 2020-06-25 Andrey Voynov , Artem Babenko