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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…

机器学习 · 计算机科学 2021-04-13 Lars Ruthotto , Eldad Haber

Stochastic differential equations provide a rich class of flexible generative models, capable of describing a wide range of spatio-temporal processes. A host of recent work looks to learn data-representing SDEs, using neural networks and…

机器学习 · 统计学 2021-10-12 Scott Cameron , Tyron Cameron , Arnu Pretorius , Stephen Roberts

There is significant need for principled uncertainty reasoning in machine learning systems as they are increasingly deployed in safety-critical domains. A new approach with uncertainty-aware neural networks (NNs), based on learning…

机器学习 · 计算机科学 2022-02-25 Nis Meinert , Alexander Lavin

Bayesian flow networks (BFNs) iteratively refine the parameters, instead of the samples in diffusion models (DMs), of distributions at various noise levels through Bayesian inference. Owing to its differentiable nature, BFNs are promising…

机器学习 · 计算机科学 2024-06-04 Kaiwen Xue , Yuhao Zhou , Shen Nie , Xu Min , Xiaolu Zhang , Jun Zhou , Chongxuan Li

Deep neural networks achieve superior performance for learning from independent and identically distributed (i.i.d.) data. However, their performance deteriorates significantly when handling out-of-distribution (OoD) data, where the…

机器学习 · 计算机科学 2023-07-25 Haoyue Bai , Ceyuan Yang , Yinghao Xu , S. -H. Gary Chan , Bolei Zhou

Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

机器学习 · 统计学 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

De novo molecular design attempts to search over the chemical space for molecules with the desired property. Recently, deep learning has gained considerable attention as a promising approach to solve the problem. In this paper, we propose…

定量方法 · 定量生物学 2020-10-28 Sungsoo Ahn , Junsu Kim , Hankook Lee , Jinwoo Shin

Modern deep neural networks have a large number of parameters, making them very hard to train. We propose DSD, a dense-sparse-dense training flow, for regularizing deep neural networks and achieving better optimization performance. In the…

计算机视觉与模式识别 · 计算机科学 2017-02-23 Song Han , Jeff Pool , Sharan Narang , Huizi Mao , Enhao Gong , Shijian Tang , Erich Elsen , Peter Vajda , Manohar Paluri , John Tran , Bryan Catanzaro , William J. Dally

Constructions of numerous approximate sampling algorithms are based on the well-known fact that certain Gibbs measures are stationary distributions of ergodic stochastic differential equations (SDEs) driven by the Brownian motion. However,…

概率论 · 数学 2020-07-07 Lu-Jing Huang , Mateusz B. Majka , Jian Wang

We consider the stochastic generalized Nash equilibrium problem (SGNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm based on the preconditioned…

最优化与控制 · 数学 2020-02-24 Barbara Franci , Sergio Grammatico

Modern deep neural networks (DNNs) are typically trained with a global cross-entropy loss in a supervised end-to-end manner: neurons need to store their outgoing weights; training alternates between a forward pass (computation) and a…

机器学习 · 计算机科学 2025-11-03 Shuyan Lyu , Zhanzimo Wu , Junliang Du

In this work, we explore modeling change points in time-series data using neural stochastic differential equations (neural SDEs). We propose a novel model formulation and training procedure based on the variational autoencoder (VAE)…

机器学习 · 计算机科学 2025-06-16 Yousef El-Laham , Zhongchang Sun , Haibei Zhu , Tucker Balch , Svitlana Vyetrenko

In Score based Generative Modeling (SGMs), the state-of-the-art in generative modeling, stochastic reverse processes are known to perform better than their deterministic counterparts. This paper delves into the heart of this phenomenon,…

机器学习 · 计算机科学 2023-12-15 Karthik Elamvazhuthi , Samet Oymak , Fabio Pasqualetti

We introduce a generative learning framework to model high-dimensional parametric systems using gradient guidance and virtual observations. We consider systems described by Partial Differential Equations (PDEs) discretized with structured…

机器学习 · 计算机科学 2024-08-02 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

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.,…

计算机视觉与模式识别 · 计算机科学 2019-07-01 Xinjie Lan

Graph convolutional networks (GCNs) are a powerful tool for graph representation learning. Due to the recursive neighborhood aggregations employed by GCNs, efficient training methods suffer from a lack of theoretical guarantees or are…

最优化与控制 · 数学 2025-08-04 Molly Noel , Gabriel Mancino-Ball , Yangyang Xu

Neural architecture search (NAS) for Graph neural networks (GNNs), called NAS-GNNs, has achieved significant performance over manually designed GNN architectures. However, these methods inherit issues from the conventional NAS methods, such…

机器学习 · 计算机科学 2023-06-19 Peng Xu , Lin Zhang , Xuanzhou Liu , Jiaqi Sun , Yue Zhao , Haiqin Yang , Bei Yu

Deep Generative Networks (DGNs) with probabilistic modeling of their output and latent space are currently trained via Variational Autoencoders (VAEs). In the absence of a known analytical form for the posterior and likelihood expectation,…

机器学习 · 计算机科学 2020-06-18 Randall Balestriero , Sebastien Paris , Richard G. Baraniuk

We consider a stochastic generalized Nash equilibrium problem (GNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm by exploiting the forward-backward operator…

最优化与控制 · 数学 2020-02-17 Barbara Franci , Sergio Grammatico

While deep learning has demonstrated impressive progress, it remains a daunting challenge to learn from hard samples as these samples are usually noisy and intricate. These hard samples play a crucial role in the optimal performance of deep…

计算机视觉与模式识别 · 计算机科学 2024-12-30 Qiao Xiao , Boqian Wu , Lu Yin , Christopher Neil Gadzinski , Tianjin Huang , Mykola Pechenizkiy , Decebal Constantin Mocanu