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Evaluating the performance of generative models in image synthesis is a challenging task. Although the Fr\'echet Inception Distance is a widely accepted evaluation metric, it integrates different aspects (e.g., fidelity and diversity) of…

Computer Vision and Pattern Recognition · Computer Science 2021-06-07 Ryoungwoo Jang , Minjee Kim , Da-in Eun , Kyungjin Cho , Jiyeon Seo , Namkug Kim

In the automatic evaluation of generative question answering (GenQA) systems, it is difficult to assess the correctness of generated answers due to the free-form of the answer. Especially, widely used n-gram similarity metrics often fail to…

Computation and Language · Computer Science 2021-04-16 Hwanhee Lee , Seunghyun Yoon , Franck Dernoncourt , Doo Soon Kim , Trung Bui , Joongbo Shin , Kyomin Jung

The interpretability of generative models is considered a key factor in demonstrating their effectiveness and controllability. The generated data are believed to be determined by latent variables that are not directly observable. Therefore,…

Machine Learning · Statistics 2025-08-14 Yuan-Hao Wei , Fu-Hao Deng , Lin-Yong Cui , Yan-Jie Sun

Recent advances in generative modeling have led to an increased interest in the study of statistical divergences as means of model comparison. Commonly used evaluation methods, such as the Frechet Inception Distance (FID), correlate well…

Machine Learning · Statistics 2018-10-30 Mehdi S. M. Sajjadi , Olivier Bachem , Mario Lucic , Olivier Bousquet , Sylvain Gelly

Generative models (GMs) such as Generative Adversary Network (GAN) and Variational Auto-Encoder (VAE) have thrived these years and achieved high quality results in generating new samples. Especially in Computer Vision, GMs have been used in…

Machine Learning · Computer Science 2018-04-27 Honggang Zhou , Yunchun Li , Hailong Yang , Wei Li , Jie Jia

Continual or incremental learning holds tremendous potential in deep learning with different challenges including catastrophic forgetting. The advent of powerful foundation and generative models has propelled this paradigm even further,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Victor Enescu , Hichem Sahbi

In settings requiring synthetic data generation based on a clinical cohort, e.g., due to data protection regulations, heterogeneity across individuals might be a nuisance that we need to control or faithfully preserve. The sources of such…

Machine Learning · Computer Science 2023-12-14 Kiana Farhadyar , Federico Bonofiglio , Maren Hackenberg , Daniela Zoeller , Harald Binder

Generative models are typically evaluated by direct inspection of their generated samples, e.g., by visual inspection in the case of images. Further evaluation metrics like the Fr\'echet inception distance or maximum mean discrepancy are…

Information Theory · Computer Science 2024-08-02 Michael Baur , Nurettin Turan , Simon Wallner , Wolfgang Utschick

We present an empirical evaluation of fMRI data augmentation via synthesis. For synthesis we use generative mod-els trained on real neuroimaging data to produce novel task-dependent functional brain images. Analyzed generative mod-els…

Computer Vision and Pattern Recognition · Computer Science 2019-07-16 Peiye Zhuang , Alexander G. Schwing , Sanmi Koyejo

Generative methods (Gen-AI) are reviewed with a particular goal of solving tasks in machine learning and Bayesian inference. Generative models require one to simulate a large training dataset and to use deep neural networks to solve a…

Computation · Statistics 2025-05-20 Maria Nareklishvili , Nick Polson , Vadim Sokolov

Random Fourier Features (RFF) is among the most popular and broadly applicable approaches for scaling up kernel methods. In essence, RFF allows the user to avoid costly computations on a large kernel matrix via a fast randomized…

Machine Learning · Statistics 2023-02-23 Junwen Yao , N. Benjamin Erichson , Miles E. Lopes

Approximations based on random Fourier features have recently emerged as an efficient and formally consistent methodology to design large-scale kernel machines. By expressing the kernel as a Fourier expansion, features are generated based…

Computer Vision and Pattern Recognition · Computer Science 2012-03-08 Eduard Gabriel Băzăvan , Fuxin Li , Cristian Sminchisescu

In data science, individual observations are often assumed to come independently from an underlying probability space. Kernel matrices formed from large sets of such observations arise frequently, for example during classification tasks. It…

Machine Learning · Statistics 2026-05-27 Mikhail Lepilov

In recent years, deep generative models have attracted increasing interest due to their capacity to model complex distributions. Among those models, variational autoencoders have gained popularity as they have proven both to be…

Machine Learning · Computer Science 2023-07-21 Clément Chadebec , Louis J. Vincent , Stéphanie Allassonnière

While text-to-visual models now produce photo-realistic images and videos, they struggle with compositional text prompts involving attributes, relationships, and higher-order reasoning such as logic and comparison. In this work, we conduct…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Baiqi Li , Zhiqiu Lin , Deepak Pathak , Jiayao Li , Yixin Fei , Kewen Wu , Tiffany Ling , Xide Xia , Pengchuan Zhang , Graham Neubig , Deva Ramanan

We present a theoretically grounded Gaussian process framework that leverages neural feature maps to construct expressive kernels. We show that the learned feature map can be interpreted as an optimal low-rank approximation to a Gram matrix…

Machine Learning · Statistics 2026-05-12 Anthony Stephenson

Generative models which use explicit density modeling (e.g., variational autoencoders, flow-based generative models) involve finding a mapping from a known distribution, e.g. Gaussian, to the unknown input distribution. This often requires…

Machine Learning · Computer Science 2021-12-02 Zhichun Huang , Rudrasis Chakraborty , Vikas Singh

Modern generative models are usually designed to match target distributions directly in the data space, where the intrinsic dimension of data can be much lower than the ambient dimension. We argue that this discrepancy may contribute to the…

Machine Learning · Computer Science 2020-07-02 Zijun Zhang , Ruixiang Zhang , Zongpeng Li , Yoshua Bengio , Liam Paull

Density estimation is a fundamental task in statistics and machine learning applications. Kernel density estimation is a powerful tool for non-parametric density estimation in low dimensions; however, its performance is poor in higher…

Machine Learning · Computer Science 2022-08-08 Joseph A. Gallego , Fabio A. González

Gaussian process (GP) marginal likelihood scores and kernel conditional independence tests are theoretically appealing for nonlinear causal discovery but computationally prohibitive at scale. We present three complementary RFF-based methods…

Machine Learning · Statistics 2026-05-12 Joseph D. Ramsey