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Generative adversarial networks (GANs) are one of the greatest advances in AI in recent years. With their ability to directly learn the probability distribution of data, and then sample synthetic realistic data. Many applications have…

As a new way of training generative models, Generative Adversarial Nets (GAN) that uses a discriminative model to guide the training of the generative model has enjoyed considerable success in generating real-valued data. However, it has…

机器学习 · 计算机科学 2017-08-28 Lantao Yu , Weinan Zhang , Jun Wang , Yong Yu

Generative Adversarial Networks (GANs) are a recent advancement in unsupervised machine learning. They are a cat-and-mouse game between two neural networks: [1] a discriminator network which learns to validate whether a sample is real or…

宇宙学与河外天体物理 · 物理学 2020-06-23 Olivia Curtis , Tereasa G. Brainerd

System identification in scenarios where the observed number of variables is less than the degrees of freedom in the dynamics is an important challenge. In this work we tackle this problem by using a recognition network to increase the…

计算物理 · 物理学 2020-10-14 Constantino A. Garcia , Paulo Felix , Jesus M. Presedo , Abraham Otero

Despite continuous improvements, precipitation forecasts are still not as accurate and reliable as those of other meteorological variables. A major contributing factor to this is that several key processes affecting precipitation…

大气与海洋物理 · 物理学 2022-11-09 Lucy Harris , Andrew T. T. McRae , Matthew Chantry , Peter D. Dueben , Tim N. Palmer

Learning continuous-time dynamics on complex networks is crucial for understanding, predicting and controlling complex systems in science and engineering. However, this task is very challenging due to the combinatorial complexities in the…

社会与信息网络 · 计算机科学 2020-06-19 Chengxi Zang , Fei Wang

Neural differential equations predict the derivative of a stochastic process. This allows irregular forecasting with arbitrary time-steps. However, the expressive temporal flexibility often comes with a high sensitivity to noise. In…

机器学习 · 计算机科学 2023-02-07 Stav Belogolovsky , Ido Greenberg , Danny Eitan , Shie Mannor

Ever since its debut, generative adversarial networks (GANs) have attracted tremendous amount of attention. Over the past years, different variations of GANs models have been developed and tailored to different applications in practice.…

数理金融 · 定量金融 2021-09-10 Haoyang Cao , Xin Guo

Scientific machine learning is an emerging field that broadly describes the combination of scientific computing and machine learning to address challenges in science and engineering. Within the context of differential equations, this has…

机器学习 · 计算机科学 2026-04-03 Laurens R. Lueg , Victor Alves , Daniel Schicksnus , John R. Kitchin , Carl D. Laird , Lorenz T. Biegler

Optimizing over the stationary distribution of stochastic differential equations (SDEs) is computationally challenging. A new forward propagation algorithm has been recently proposed for the online optimization of SDEs. The algorithm solves…

概率论 · 数学 2022-07-12 Ziheng Wang , Justin Sirignano

Generative Adversarial Networks (GANs) should produce synthetic data that fits the underlying distribution of the data being modeled. For real valued time-series data, this implies the need to simultaneously capture the static distribution…

机器学习 · 计算机科学 2024-05-14 Joe Beck , Subhadeep Chakraborty

Neural Ordinary Differential Equations (ODE) are a promising approach to learn dynamic models from time-series data in science and engineering applications. This work aims at learning Neural ODE for stiff systems, which are usually raised…

数值分析 · 数学 2021-10-04 Suyong Kim , Weiqi Ji , Sili Deng , Yingbo Ma , Christopher Rackauckas

Identifying anomalies refers to detecting samples that do not resemble the training data distribution. Many generative models have been used to find anomalies, and among them, generative adversarial network (GAN)-based approaches are…

机器学习 · 计算机科学 2022-01-03 Laya Rafiee Sevyeri , Thomas Fevens

Generative Adversarial Networks (GANs) have gained a lot of attention from machine learning community due to their ability to learn and mimic an input data distribution. GANs consist of a discriminator and a generator working in tandem…

计算与语言 · 计算机科学 2018-06-19 Saurabh Sahu , Rahul Gupta , Carol Espy-Wilson

Moments when a time series changes its behavior are called change points. Occurrence of change point implies that the state of the system is altered and its timely detection might help to prevent unwanted consequences. In this paper, we…

机器学习 · 计算机科学 2026-03-10 Mikhail Hushchyn , Kenenbek Arzymatov , Denis Derkach

Generative adversarial networks (GANs) provide a way to learn deep representations without extensively annotated training data. They achieve this through deriving backpropagation signals through a competitive process involving a pair of…

计算机视觉与模式识别 · 计算机科学 2018-02-14 Antonia Creswell , Tom White , Vincent Dumoulin , Kai Arulkumaran , Biswa Sengupta , Anil A Bharath

Automated scientific discovery aims to improve scientific understanding through machine learning. A central approach in this field is symbolic regression, which uses genetic programming or sparse regression to learn interpretable…

神经与进化计算 · 计算机科学 2026-03-11 Sigur de Vries , Sander W. Keemink , Marcel A. J. van Gerven

Data driven discovery of partial differential equations (PDEs) is a promising approach for uncovering the underlying laws governing complex systems. However, purely data driven techniques face the dilemma of balancing search space with…

机器学习 · 计算机科学 2025-05-12 Hao Xu , Yuntian Chen , Rui Cao , Tianning Tang , Mengge Du , Jian Li , Adrian H. Callaghan , Dongxiao Zhang

Neural Autoregressive Distribution Estimators (NADEs) have recently been shown as successful alternatives for modeling high dimensional multimodal distributions. One issue associated with NADEs is that they rely on a particular order of…

机器学习 · 统计学 2014-09-03 Li Yao , Sherjil Ozair , Kyunghyun Cho , Yoshua Bengio

Understanding adversarial examples is crucial for improving model robustness, as they introduce imperceptible perturbations to deceive models. Effective adversarial examples, therefore, offer the potential to train more robust models by…

机器学习 · 计算机科学 2025-04-15 Xinheng Xie , Yue Wu , Cuiyu He