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The Fr\'echet Video Distance (FVD) is a widely adopted metric for evaluating video generation distribution quality. However, its effectiveness relies on critical assumptions. Our analysis reveals three significant limitations: (1) the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Ge Ya Luo , Gian Mario Favero , Zhi Hao Luo , Alexia Jolicoeur-Martineau , Christopher Pal

We propose a Generative Adversarial Network (GAN) that introduces an evaluator module using pre-trained networks. The proposed model, called score-guided GAN (ScoreGAN), is trained with an evaluation metric for GANs, i.e., the Inception…

Machine Learning · Computer Science 2020-05-28 Minhyeok Lee , Junhee Seok

In this paper, a distance between the Gaussian Mixture Models(GMMs) is obtained based on an embedding of the K-component Gaussian Mixture Model into the manifold of the symmetric positive definite matrices. Proof of embedding of K-component…

Differential Geometry · Mathematics 2025-01-14 Amit Vishwakarma , KS Subrahamanian Moosath

Generative Adversarial Networks (GANs) can accurately model complex multi-dimensional data and generate realistic samples. However, due to their implicit estimation of data distributions, their evaluation is a challenging task. The majority…

Computer Vision and Pattern Recognition · Computer Science 2020-10-08 Amirsina Torfi , Mohammadreza Beyki , Edward A. Fox

Deep neural networks (DNNs) have become a key part of many modern software applications. After training and validating, the DNN is deployed as an irrevocable component and applied in real-world scenarios. Although most DNNs are built…

Machine Learning · Computer Science 2021-03-31 JingWei Xu , Siyuan Zhu , Zenan Li , Chang Xu

We consider the problem of learning deep generative models from data. We formulate a method that generates an independent sample via a single feedforward pass through a multilayer perceptron, as in the recently proposed generative…

Machine Learning · Computer Science 2015-02-11 Yujia Li , Kevin Swersky , Richard Zemel

Fused Gromov-Wasserstein (FGW) distances provide a principled framework for comparing objects by jointly aligning structure and node features. However, existing FGW formulations treat all features uniformly, which limits interpretability…

Machine Learning · Computer Science 2026-05-13 Harlin Lee , Ying Yu , Mingxin Li , Ranthony Clark

We propose a large-margin Gaussian Mixture (L-GM) loss for deep neural networks in classification tasks. Different from the softmax cross-entropy loss, our proposal is established on the assumption that the deep features of the training set…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Weitao Wan , Yuanyi Zhong , Tianpeng Li , Jiansheng Chen

We investigate the training and performance of generative adversarial networks using the Maximum Mean Discrepancy (MMD) as critic, termed MMD GANs. As our main theoretical contribution, we clarify the situation with bias in GAN loss…

Machine Learning · Statistics 2021-01-15 Mikołaj Bińkowski , Danica J. Sutherland , Michael Arbel , Arthur Gretton

Channel estimation in quantized systems is challenging, particularly in low-resolution systems. In this work, we propose to leverage a Gaussian mixture model (GMM) as generative prior, capturing the channel distribution of the propagation…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Benedikt Fesl , Aziz Banna , Wolfgang Utschick

Generative methods now produce outputs nearly indistinguishable from real data but often fail to fully capture the data distribution. Unlike quality issues, diversity limitations in generative models are hard to detect visually, requiring…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Mischa Dombrowski , Weitong Zhang , Sarah Cechnicka , Hadrien Reynaud , Bernhard Kainz

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 recent literature, the Gaussian Graphical model (GGM; Lauritzen, 1996),a network of partial correlation coefficients, has been used to capture potential dynamic relationships between observed variables. The GGM can be estimated using…

Methodology · Statistics 2017-09-25 Sacha Epskamp

We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan

Measuring the generalization capacity of Deep Generative Models (DGMs) is difficult because of the curse of dimensionality. Evaluation metrics for DGMs such as Inception Score, Fr\'echet Inception Distance, Precision-Recall, and Neural Net…

Machine Learning · Computer Science 2021-05-25 Hoang Thanh-Tung , Truyen Tran

In this work, we propose variations of a Gaussian mixture model (GMM) based channel estimator that was recently proven to be asymptotically optimal in the minimum mean square error (MMSE) sense. We account for the need of low computational…

Information Theory · Computer Science 2023-06-06 Benedikt Fesl , Michael Joham , Sha Hu , Michael Koller , Nurettin Turan , Wolfgang Utschick

Deep generative models such as GANs have driven impressive advances in conditional image synthesis in recent years. A persistent challenge has been to generate diverse versions of output images from the same input image, due to the problem…

Computer Vision and Pattern Recognition · Computer Science 2021-06-18 Shichong Peng , Alireza Moazeni , Ke Li

Generative neural network models, including Generative Adversarial Network (GAN) and Auto-Encoders (AE), are among the most popular neural network models to generate adversarial data. The GAN model is composed of a generator that produces…

Machine Learning · Computer Science 2019-05-27 Jeremy Charlier , Radu State , Jean Hilger

Gaussian mixture models (GMM) are powerful parametric tools with many applications in machine learning and computer vision. Expectation maximization (EM) is the most popular algorithm for estimating the GMM parameters. However, EM…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Soheil Kolouri , Gustavo K. Rohde , Heiko Hoffmann

In recent years, numerous graph generative models (GGMs) have been proposed. However, evaluating these models remains a considerable challenge, primarily due to the difficulty in extracting meaningful graph features that accurately…

Machine Learning · Computer Science 2025-03-18 Chengen Wang , Murat Kantarcioglu