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Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems. In contrast to priors given by sparsity, deep models can provide direct low-dimensional…

最优化与控制 · 数学 2018-12-12 Wen Huang , Paul Hand , Reinhard Heckel , Vladislav Voroninski

In sentence compression, the task of shortening sentences while retaining the original meaning, models tend to be trained on large corpora containing pairs of verbose and compressed sentences. To remove the need for paired corpora, we…

计算与语言 · 计算机科学 2018-09-11 Thibault Févry , Jason Phang

Demosaicking and denoising are among the most crucial steps of modern digital camera pipelines and their joint treatment is a highly ill-posed inverse problem where at-least two-thirds of the information are missing and the rest are…

计算机视觉与模式识别 · 计算机科学 2018-07-13 Filippos Kokkinos , Stamatios Lefkimmiatis

Iterative self-training (self-distillation) repeatedly refits a model on pseudo-labels generated by its own predictions. We study this procedure in overparameterized linear regression: an initial estimator is trained on noisy labels, and…

机器学习 · 统计学 2026-02-17 Mingqi Wu , Archer Y. Yang , Qiang Sun

We propose a new probabilistic method for unsupervised recovery of corrupted data. Given a large ensemble of degraded samples, our method recovers accurate posteriors of clean values, allowing the exploration of the manifold of possible…

机器学习 · 计算机科学 2020-07-01 Francesco Tonolini , Pablo G. Moreno , Andreas Damianou , Roderick Murray-Smith

Quantum autoencoder is an efficient variational quantum algorithm for quantum data compression. However, previous quantum autoencoders fail to compress and recover high-rank mixed states. In this work, we discuss the fundamental properties…

量子物理 · 物理学 2021-05-07 Chenfeng Cao , Xin Wang

The goal of compressed sensing is to estimate a vector from an underdetermined system of noisy linear measurements, by making use of prior knowledge on the structure of vectors in the relevant domain. For almost all results in this…

机器学习 · 统计学 2017-03-10 Ashish Bora , Ajil Jalal , Eric Price , Alexandros G. Dimakis

We consider the problem of mean estimation assuming only finite variance. We study a new class of mean estimators constructed by integrating over random noise applied to a soft-truncated empirical mean estimator. For appropriate choices of…

统计理论 · 数学 2019-06-26 Matthew J. Holland

We develop a generative model-based approach to Bayesian inverse problems, such as image reconstruction from noisy and incomplete images. Our framework addresses two common challenges of Bayesian reconstructions: 1) It makes use of complex,…

机器学习 · 统计学 2019-10-24 Vanessa Böhm , François Lanusse , Uroš Seljak

We introduce Generalized Discrete Diffusion from Snapshots (GDDS), a unified framework for discrete diffusion modeling that supports arbitrary noising processes over large discrete state spaces. Our formulation encompasses all existing…

机器学习 · 统计学 2026-03-24 Oussama Zekri , Théo Uscidda , Nicolas Boullé , Anna Korba

Gravitational wave astronomy is a rapidly growing field of modern astrophysics, with observations being made frequently by the LIGO detectors. Gravitational wave signals are often extremely weak and the data from the detectors, such as…

广义相对论与量子宇宙学 · 物理学 2020-01-31 Hongyu Shen , Daniel George , E. A. Huerta , Zhizhen Zhao

Extracellular recordings are severely contaminated by a considerable amount of noise sources, rendering the denoising process an extremely challenging task that should be tackled for efficient spike sorting. To this end, we propose an…

神经元与认知 · 定量生物学 2021-12-13 Christodoulos Kechris , Alexandros Delitzas , Vasileios Matsoukas , Panagiotis C. Petrantonakis

Denoising of time domain data is a crucial task for many applications such as communication, translation, virtual assistants etc. For this task, a combination of a recurrent neural net (RNNs) with a Denoising Auto-Encoder (DAEs) has shown…

宇宙学与河外天体物理 · 物理学 2019-05-27 Hongyu Shen , Daniel George , E. A. Huerta , Zhizhen Zhao

A distributed lossy compression network with $L$ encoders and a decoder is considered. Each encoder observes a source and sends a compressed version to the decoder. The decoder produces a joint reconstruction of target signals with the mean…

信息论 · 计算机科学 2022-06-06 Siyao Zhou , Sadaf Salehkalaibar , Jingjing Qian , Jun Chen , Wuxian Shi , Yiqun Ge , Wen Tong

Recently, deep generative models have been used for posterior inference in inverse problems, including high-stakes applications in medical imaging and scientific discovery, where the uncertainty of a prediction can matter as much as the…

机器学习 · 计算机科学 2026-05-15 Yuxin Guo , Dongrui Deng , Pulkit Grover

Score-based model research in the last few years has produced state of the art generative models by employing Gaussian denoising score-matching (DSM). However, the Gaussian noise assumption has several high-dimensional limitations,…

机器学习 · 计算机科学 2022-04-13 Jacob Deasy , Nikola Simidjievski , Pietro Liò

The application of convolutional autoencoder deep learning to imaging data for planetary science and astrobiological use is briefly reviewed and explored with a focus on the need to understand algorithmic rationale, process, and results…

地球与行星天体物理 · 物理学 2025-07-16 Caleb Scharf

Recent research in the design of end to end communication system using deep learning has produced models which can outperform traditional communication schemes. Most of these architectures leveraged autoencoders to design the encoder at the…

信息论 · 计算机科学 2020-01-28 Vishnu Raj , Sheetal Kalyani

Despite the recent developments that allowed neural networks to achieve impressive performance on a variety of applications, these models are intrinsically affected by the problem of overgeneralization, due to their partitioning of the full…

人工智能 · 计算机科学 2020-02-11 Giacomo Spigler

We focus on generative autoencoders, such as variational or adversarial autoencoders, which jointly learn a generative model alongside an inference model. Generative autoencoders are those which are trained to softly enforce a prior on the…

机器学习 · 计算机科学 2017-01-13 Antonia Creswell , Kai Arulkumaran , Anil Anthony Bharath