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In this technical report we describe some properties of f-divergences and f-GAN training. We present an elementary derivation of the f-divergence lower bounds which form the basis of f-GAN training. We derive informative but perhaps…

Machine Learning · Computer Science 2020-09-03 Matt Shannon

Numerous recent research on graph neural networks (GNNs) has focused on formulating GNN architectures as an optimization problem with the smoothness assumption. However, in node classification tasks, the smoothing effect induced by GNNs…

Machine Learning · Computer Science 2023-09-14 Jiayu Zhai , Lequan Lin , Dai Shi , Junbin Gao

Score-based generative models can produce high quality image samples comparable to GANs, without requiring adversarial optimization. However, existing training procedures are limited to images of low resolution (typically below 32x32), and…

Machine Learning · Computer Science 2020-10-27 Yang Song , Stefano Ermon

Imbalanced regression arises when the target distribution is skewed, causing models to focus on dense regions and struggle with underrepresented (minority) samples. Despite its relevance across many applications, few methods have been…

Machine Learning · Computer Science 2025-08-05 Shayan Alahyari , Shiva Mehdipour Ghobadlou , Mike Domaratzki

Imbalanced image datasets are commonly available in the domain of biomedical image analysis. Biomedical images contain diversified features that are significant in predicting targeted diseases. Generative Adversarial Networks (GANs) are…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Muhammad Muneeb Saad , Mubashir Husain Rehmani , Ruairi O'Reilly

Preserving the robustness of the procedure has, at the present time, become almost a default requirement for statistical data analysis. Since efficiency at the model and robustness under misspecification of the model are often in conflict,…

Statistics Theory · Mathematics 2019-10-29 Saptarshi Roy , Kaustav Chakraborty , Somnath Bhadra , Ayanendranath Basu

Value function learning plays a central role in many state-of-the-art reinforcement-learning algorithms. Many popular algorithms like Q-learning do not optimize any objective function, but are fixed-point iterations of some variant of…

Machine Learning · Computer Science 2020-01-10 Yihao Feng , Lihong Li , Qiang Liu

Generative models have enjoyed widespread success in a variety of applications. However, they encounter inherent mathematical limitations in modeling distributions where samples are constrained by equalities, as is frequently the setting in…

Machine Learning · Computer Science 2026-02-02 Katherine Keegan , Lars Ruthotto

While Generative Adversarial Networks (GANs) have empirically produced impressive results on learning complex real-world distributions, recent works have shown that they suffer from lack of diversity or mode collapse. The theoretical work…

Machine Learning · Computer Science 2019-07-02 Yu Bai , Tengyu Ma , Andrej Risteski

Diffusion-based models have shown the merits of generating high-quality visual data while preserving better diversity in recent studies. However, such observation is only justified with curated data distribution, where the data samples are…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Yiming Qin , Huangjie Zheng , Jiangchao Yao , Mingyuan Zhou , Ya Zhang

Deep generative models are effective methods of modeling data. However, it is not easy for a single generative model to faithfully capture the distributions of complex data such as images. In this paper, we propose an approach for boosting…

Machine Learning · Computer Science 2019-05-14 Fan Bao , Hang Su , Jun Zhu

This study proposes a method for imbalanced data classification based on deep probabilistic graphical models (DPGMs) to solve the problem that traditional methods have insufficient learning ability for minority class samples. To address the…

Machine Learning · Computer Science 2025-04-09 Yujia Lou , Jie Liu , Yuan Sheng , Jiawei Wang , Yiwei Zhang , Yaokun Ren

We propose two new techniques for training Generative Adversarial Networks (GANs). Our objectives are to alleviate mode collapse in GAN and improve the quality of the generated samples. First, we propose neighbor embedding, a manifold…

Computer Vision and Pattern Recognition · Computer Science 2018-11-06 Ngoc-Trung Tran , Tuan-Anh Bui , Ngai-Man Cheung

One of the training strategies of generative models is to minimize the Jensen--Shannon divergence between the model distribution and the data distribution. Since data distribution is unknown, generative adversarial networks (GANs) formulate…

Machine Learning · Computer Science 2023-02-22 Hiroki Naganuma , Hideaki Iiduka

Fine-grained domain generalization (FGDG) is a more challenging task than traditional DG tasks due to its small inter-class variations and relatively large intra-class disparities. When domain distribution changes, the vulnerability of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Wenlong Yu , Dongyue Chen , Qilong Wang , Qinghua Hu

We propose an extension of a special form of gradient descent -- in the literature known as linearised Bregman iteration -- to a larger class of non-convex functions. We replace the classical (squared) two norm metric in the gradient…

Optimization and Control · Mathematics 2021-05-26 Martin Benning , Marta M. Betcke , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb

Diffusion models have demonstrated impressive generative capabilities, but their \textit{exposure bias} problem, described as the input mismatch between training and sampling, lacks in-depth exploration. In this paper, we systematically…

Machine Learning · Computer Science 2024-04-12 Mang Ning , Mingxiao Li , Jianlin Su , Albert Ali Salah , Itir Onal Ertugrul

Recent years have seen significant advancements in foundation models through generative pre-training, yet algorithmic innovation in this space has largely stagnated around autoregressive models for discrete signals and diffusion models for…

Machine Learning · Computer Science 2025-03-12 Jiaming Song , Linqi Zhou

Generative models, especially Generative Adversarial Networks (GANs), have received significant attention recently. However, it has been observed that in terms of some attributes, e.g. the number of simple geometric primitives in an image,…

Machine Learning · Computer Science 2019-10-08 Jinchen Xuan , Yunchang Yang , Ze Yang , Di He , Liwei Wang

Despite the remarkable success of generative adversarial networks, their performance seems less impressive for diverse training sets, requiring learning of discontinuous mapping functions. Though multi-mode prior or multi-generator models…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Jogendra Nath Kundu , Maharshi Gor , Dakshit Agrawal , R. Venkatesh Babu