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We introduce and motivate generative modeling as a central task for machine learning and provide a critical view of the algorithms which have been proposed for solving this task. We overview how generative modeling can be defined…

机器学习 · 计算机科学 2021-03-02 Alex Lamb

In regression modelling approach, the main step is to fit the regression line as close as possible to the target variable. In this process most algorithms try to fit all of the data in a single line and hence fitting all parts of target…

机器学习 · 统计学 2018-05-07 Kumarjit Pathak , Jitin Kapila , Aasheesh Barvey , Nikit Gawande

Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of this manuscript is to explain, from a PDE perspective, how…

概率论 · 数学 2025-01-29 Fei Cao , Kimball Johnston , Thomas Laurent , Justin Le , Sébastien Motsch

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

机器学习 · 计算机科学 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

Empirical risk minimization often performs poorly when the distribution of the target domain differs from those of source domains. To address such potential distribution shifts, we develop an unsupervised domain adaptation approach that…

机器学习 · 统计学 2025-03-25 Zhenyu Wang , Peter Bühlmann , Zijian Guo

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

机器学习 · 统计学 2020-07-21 John Duchi , Hongseok Namkoong

Probabilistic forecasting relies on past observations to provide a probability distribution for a future outcome, which is often evaluated against the realization using a scoring rule. Here, we perform probabilistic forecasting with…

机器学习 · 统计学 2024-03-06 Lorenzo Pacchiardi , Rilwan Adewoyin , Peter Dueben , Ritabrata Dutta

Recently proposed generative models for discrete data, such as Masked Diffusion Models (MDMs), exploit conditional independence approximations to reduce the computational cost of popular Auto-Regressive Models (ARMs), at the price of some…

机器学习 · 统计学 2025-12-18 Hugo Lavenant , Giacomo Zanella

We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

机器学习 · 统计学 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

Many important problems in science and engineering, such as drug design, involve optimizing an expensive black-box objective function over a complex, high-dimensional, and structured input space. Although machine learning techniques have…

机器学习 · 计算机科学 2020-10-27 Austin Tripp , Erik Daxberger , José Miguel Hernández-Lobato

Ensemble weather forecasts based on multiple runs of numerical weather prediction models typically show systematic errors and require post-processing to obtain reliable forecasts. Accurately modeling multivariate dependencies is crucial in…

大气与海洋物理 · 物理学 2024-02-02 Jieyu Chen , Tim Janke , Florian Steinke , Sebastian Lerch

We propose a manifold matching approach to generative models which includes a distribution generator (or data generator) and a metric generator. In our framework, we view the real data set as some manifold embedded in a high-dimensional…

计算机视觉与模式识别 · 计算机科学 2021-08-30 Mengyu Dai , Haibin Hang

Data augmentation is often used to enlarge datasets with synthetic samples generated in accordance with the underlying data distribution. To enable a wider range of augmentations, we explore negative data augmentation strategies (NDA)that…

计算机视觉与模式识别 · 计算机科学 2021-02-11 Abhishek Sinha , Kumar Ayush , Jiaming Song , Burak Uzkent , Hongxia Jin , Stefano Ermon

Deep generative networks can simulate from a complex target distribution, by minimizing a loss with respect to samples from that distribution. However, often we do not have direct access to our target distribution - our data may be subject…

The problem of model collapse has presented new challenges in iterative training of generative models, where such training with synthetic data leads to an overall degradation of performance. This paper looks at the problem from a…

机器学习 · 统计学 2026-02-19 Soham Bakshi , Sunrit Chakraborty

We study stochastic programs where the decision-maker cannot observe the distribution of the exogenous uncertainties but has access to a finite set of independent samples from this distribution. In this setting, the goal is to find a…

最优化与控制 · 数学 2019-12-24 Bart P. G. Van Parys , Peyman Mohajerin Esfahani , Daniel Kuhn

Mode collapse is a significant unsolved issue of generative adversarial networks. In this work, we examine the causes of mode collapse from a novel perspective. Due to the nonuniform sampling in the training process, some sub-distributions…

机器学习 · 计算机科学 2024-01-22 Yanxiang Gong , Zhiwei Xie , Guozhen Duan , Zheng Ma , Mei Xie

The goal of regression analysis is to predict the value of a numeric outcome variable y given a vector of joint values of other (predictor) variables x. Usually a particular x-vector does not specify a repeatable value for y, but rather a…

机器学习 · 统计学 2020-01-29 Jerome H. Friedman

Learning a predictive model of the mean return, or value function, plays a critical role in many reinforcement learning algorithms. Distributional reinforcement learning (DRL) has been shown to improve performance by modeling the value…

机器学习 · 计算机科学 2025-07-08 Ju-Seung Byun , Andrew Perrault

As a key component of power system production simulation, load forecasting is critical for the stable operation of power systems. Machine learning methods prevail in this field. However, the limited training data can be a challenge. This…

系统与控制 · 电气工程与系统科学 2024-12-18 Linna Xu , Yongli Zhu