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Gaussian state space models have been used for decades as generative models of sequential data. They admit an intuitive probabilistic interpretation, have a simple functional form, and enjoy widespread adoption. We introduce a unified…

Machine Learning · Statistics 2016-12-06 Rahul G. Krishnan , Uri Shalit , David Sontag

3D Gaussian Splatting (3DGS) has demonstrated impressive novel view synthesis performance. While conventional methods require per-scene optimization, more recently several feed-forward methods have been proposed to generate pixel-aligned…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Shengjun Zhang , Xin Fei , Fangfu Liu , Haixu Song , Yueqi Duan

Modern Generative Adversarial Networks are capable of creating artificial, photorealistic images from latent vectors living in a low-dimensional learned latent space. It has been shown that a wide range of images can be projected into this…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Jonas Wulff , Antonio Torralba

In this paper, we propose a novel method for generating a synthetic dataset obeying Gaussian distribution. Compared to the commonly used benchmark datasets with unknown distribution, the synthetic dataset has an explicit distribution, i.e.,…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Xinjie Lan

Deep learning is a hot research topic in the field of machine learning methods and applications. Generative Adversarial Networks (GANs) and Variational Auto-Encoders (VAEs) provide impressive image generations from Gaussian white noise, but…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Jiasong Wu , Jing Zhang , Fuzhi Wu , Youyong Kong , Guanyu Yang , Lotfi Senhadji , Huazhong Shu

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Machine Learning · Computer Science 2015-03-29 Guillaume Alain , Yoshua Bengio , Li Yao , Jason Yosinski , Eric Thibodeau-Laufer , Saizheng Zhang , Pascal Vincent

Learning-based image denoising methods have been bounded to situations where well-aligned noisy and clean images are given, or samples are synthesized from predetermined noise models, e.g., Gaussian. While recent generative noise modeling…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Geonwoon Jang , Wooseok Lee , Sanghyun Son , Kyoung Mu Lee

Generative adversarial network (GAN) is a framework for generating fake data using a set of real examples. However, GAN is unstable in the training stage. In order to stabilize GANs, the noise injection has been used to enlarge the overlap…

Machine Learning · Computer Science 2022-08-02 Kensuke Nakamura , Simon Korman , Byung-Woo Hong

Noise synthesis is a challenging low-level vision task aiming to generate realistic noise given a clean image along with the camera settings. To this end, we propose an effective generative model which utilizes clean features as guidance…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Mingyang Song , Yang Zhang , Tunç O. Aydın , Elham Amin Mansour , Christopher Schroers

Understanding the impact of data structure on the computational tractability of learning is a key challenge for the theory of neural networks. Many theoretical works do not explicitly model training data, or assume that inputs are drawn…

Machine Learning · Statistics 2022-05-23 Sebastian Goldt , Bruno Loureiro , Galen Reeves , Florent Krzakala , Marc Mézard , Lenka Zdeborová

Generative models have advantageous characteristics for classification tasks such as the availability of unsupervised data and calibrated confidence, whereas discriminative models have advantages in terms of the simplicity of their model…

Machine Learning · Computer Science 2023-05-11 Hideaki Hayashi

Normalizing flows transform a latent distribution through an invertible neural network for a flexible and pleasingly simple approach to generative modelling, while preserving an exact likelihood. We propose FlowGMM, an end-to-end approach…

Machine Learning · Computer Science 2020-01-01 Pavel Izmailov , Polina Kirichenko , Marc Finzi , Andrew Gordon Wilson

Graph Neural Networks (GNNs) have become the de facto standard for learning on relational data. While traditional GNNs' message passing is well suited for vector-valued node features, there are cases in which node features are better…

Machine Learning · Computer Science 2026-05-21 André Ribeiro , Ana Luiza Tenório , Tiago da Silva , Diego Mesquita

We propose the Gaussian Gated Linear Network (G-GLN), an extension to the recently proposed GLN family of deep neural networks. Instead of using backpropagation to learn features, GLNs have a distributed and local credit assignment…

Machine Learning · Computer Science 2020-10-22 David Budden , Adam Marblestone , Eren Sezener , Tor Lattimore , Greg Wayne , Joel Veness

The Gaussian-radial-basis function neural network (GRBFNN) has been a popular choice for interpolation and classification. However, it is computationally intensive when the dimension of the input vector is high. To address this issue, we…

Machine Learning · Computer Science 2023-08-15 Siyuan Xing , Jianqiao Sun

Analyzing neural network dynamics via stochastic gradient descent (SGD) is crucial to building theoretical foundations for deep learning. Previous work has analyzed structured inputs within the \textit{hidden manifold model}, often under…

Machine Learning · Statistics 2025-12-01 Jaeyong Bae , Hawoong Jeong

Mapping data from and/or onto a known family of distributions has become an important topic in machine learning and data analysis. Deep generative models (e.g., generative adversarial networks ) have been used effectively to match known and…

Machine Learning · Computer Science 2020-10-30 Surojit Saha , Shireen Elhabian , Ross T. Whitaker

We develop and present a generalization of the GN-model - the generalized Gaussian noise (GGN) model - to enabling a fair application of GN-model to predict generation of nonlinear interference when loss parameters relevantly vary with…

Optics · Physics 2018-06-25 Mattia Cantono , Dario Pilori , Alessio Ferrari , Vittorio Curri

Generative adversarial networks (GANs) are neural networks that learn data distributions through adversarial training. In intensive studies, recent GANs have shown promising results for reproducing training images. However, in spite of…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Takuhiro Kaneko , Tatsuya Harada

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber
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