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Deep convolutional networks have become a popular tool for image generation and restoration. Generally, their excellent performance is imputed to their ability to learn realistic image priors from a large number of example images. In this…

计算机视觉与模式识别 · 计算机科学 2020-05-19 Dmitry Ulyanov , Andrea Vedaldi , Victor Lempitsky

In this paper, we introduce the notion of Gaussian processes indexed by probability density functions for extending the Mat\'ern family of covariance functions. We use some tools from information geometry to improve the efficiency and the…

统计方法学 · 统计学 2020-11-09 A. Fradi , Y. Feunteun , C. Samir , M. Baklouti , F. Bachoc , J-M. Loubes

Reliable predictive uncertainty estimation plays an important role in enabling the deployment of neural networks to safety-critical settings. A popular approach for estimating the predictive uncertainty of neural networks is to define a…

机器学习 · 统计学 2023-12-29 Tim G. J. Rudner , Zonghao Chen , Yee Whye Teh , Yarin Gal

Inverse Distance Weighted models (IDW) have been widely used for predicting and modeling multidimensional space in multimodal industrial processes. However, the more complex the structure of multidimensional space, the lower the performance…

机器学习 · 计算机科学 2020-08-25 Junjie Zhang , Cong Zhang , Neal N. Xiong

Dictionary learning algorithms or supervised deep convolution networks have considerably improved the efficiency of predefined feature representations such as SIFT. We introduce a deep scattering convolution network, with predefined wavelet…

计算机视觉与模式识别 · 计算机科学 2015-06-02 Edouard Oyallon , Stéphane Mallat

In recent years, the transformer has established itself as a workhorse in many applications ranging from natural language processing to reinforcement learning. Similarly, Bayesian deep learning has become the gold-standard for uncertainty…

机器学习 · 计算机科学 2021-10-18 Tristan Cinquin , Alexander Immer , Max Horn , Vincent Fortuin

As machine learning systems get widely adopted for high-stake decisions, quantifying uncertainty over predictions becomes crucial. While modern neural networks are making remarkable gains in terms of predictive accuracy, characterizing…

机器学习 · 计算机科学 2019-06-14 Melanie F. Pradier , Weiwei Pan , Jiayu Yao , Soumya Ghosh , Finale Doshi-velez

Bayesian neural networks attempt to combine the strong predictive performance of neural networks with formal quantification of uncertainty associated with the predictive output in the Bayesian framework. However, it remains unclear how to…

机器学习 · 统计学 2022-01-12 Takuo Matsubara , Chris J. Oates , François-Xavier Briol

Bayesian Last Layer (BLL) models focus solely on uncertainty in the output layer of neural networks, demonstrating comparable performance to more complex Bayesian models. However, the use of Gaussian priors for last layer weights in…

机器学习 · 计算机科学 2024-08-08 Jian Xu , Zhiqi Lin , Shigui Li , Min Chen , Junmei Yang , Delu Zeng , John Paisley

Deep learning is a form of machine learning for nonlinear high dimensional pattern matching and prediction. By taking a Bayesian probabilistic perspective, we provide a number of insights into more efficient algorithms for optimisation and…

机器学习 · 统计学 2018-01-23 Nicholas Polson , Vadim Sokolov

Transfer learning is a popular practice in deep neural networks, but fine-tuning of large number of parameters is a hard task due to the complex wiring of neurons between splitting layers and imbalance distributions of data in pretrained…

机器学习 · 计算机科学 2017-10-23 Arash Shahriari

Deep Gaussian processes (DGPs) provide a robust paradigm for Bayesian deep learning. In DGPs, a set of sparse integration locations called inducing points are selected to approximate the posterior distribution of the model. This is done to…

机器学习 · 计算机科学 2024-07-25 Jian Xu , Delu Zeng , John Paisley

Bayesian neural networks (BNNs) hold great promise as a flexible and principled solution to deal with uncertainty when learning from finite data. Among approaches to realize probabilistic inference in deep neural networks, variational Bayes…

Incorporating prior knowledge on model unknowns of interest is essential when dealing with ill-posed inverse problems due to the nonuniqueness of the solution and data noise. Unfortunately, it is not trivial to fully describe our priors in…

地球物理 · 物理学 2021-06-24 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

Deep image prior (DIP) proposed in recent research has revealed the inherent trait of convolutional neural networks (CNN) for capturing substantial low-level image statistics priors. This framework efficiently addresses the inverse problems…

计算机视觉与模式识别 · 计算机科学 2024-04-19 Ziyu Shu , Zhixin Pan

In industrial machine learning pipelines, data often arrive in parts. Particularly in the case of deep neural networks, it may be too expensive to train the model from scratch each time, so one would rather use a previously learned model…

Sparse modeling for signal processing and machine learning has been at the focus of scientific research for over two decades. Among others, supervised sparsity-aware learning comprises two major paths paved by: a) discriminative methods and…

机器学习 · 统计学 2022-11-23 Lei Cheng , Feng Yin , Sergios Theodoridis , Sotirios Chatzis , Tsung-Hui Chang

A generative Bayesian model is developed for deep (multi-layer) convolutional dictionary learning. A novel probabilistic pooling operation is integrated into the deep model, yielding efficient bottom-up and top-down probabilistic learning.…

机器学习 · 统计学 2015-02-24 Yunchen Pu , Xin Yuan , Lawrence Carin

The key distinguishing property of a Bayesian approach is marginalization instead of optimization, not the prior, or Bayes rule. Bayesian inference is especially compelling for deep neural networks. (1) Neural networks are typically…

机器学习 · 计算机科学 2020-01-30 Andrew Gordon Wilson

In this work, we focus on variational Bayesian inference on the sparse Deep Neural Network (DNN) modeled under a class of spike-and-slab priors. Given a pre-specified sparse DNN structure, the corresponding variational posterior contraction…

统计理论 · 数学 2020-08-04 Jincheng Bai , Qifan Song , Guang Cheng