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A new Riemannian geometry for the Compound Gaussian distribution is proposed. In particular, the Fisher information metric is obtained, along with corresponding geodesics and distance function. This new geometry is applied on a change…

Machine Learning · Statistics 2020-05-21 Florent Bouchard , Ammar Mian , Jialun Zhou , Salem Said , Guillaume Ginolhac , Yannick Berthoumieu

Recent advancements in DeepFakes attribution technologies have significantly enhanced forensic capabilities, enabling the extraction of traces left by generative models (GMs) in images, making DeepFakes traceable back to their source GMs.…

Cryptography and Security · Computer Science 2025-08-06 Jiewei Lai , Lan Zhang , Chen Tang , Pengcheng Sun , Xinming Wang , Yunhao Wang

The increasing realism of generated images has raised significant concerns about their potential misuse, necessitating robust detection methods. Current approaches mainly rely on training binary classifiers, which depend heavily on the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Yonggang Zhang , Jun Nie , Xinmei Tian , Mingming Gong , Kun Zhang , Bo Han

We propose Riemannian Denoising Diffusion Probabilistic Models (RDDPMs) for learning distributions on submanifolds of Euclidean space that are level sets of functions, including most of the manifolds relevant to applications. Existing…

Machine Learning · Computer Science 2026-02-17 Zichen Liu , Wei Zhang , Christof Schütte , Tiejun Li

While generative models have proved successful in many domains, they may pose a privacy leakage risk in practical deployment. To address this issue, differentially private generative model learning has emerged as a solution to train private…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Bochao Liu , Pengju Wang , Weijia Guo , Yong Li , Liansheng Zhuang , Weiping Wang , Shiming Ge

Deep generative models have shown great promise when it comes to synthesising novel images. While they can generate images that look convincing on a higher-level, generating fine-grained details is still a challenge. In order to foster…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Andrin Jenal , Nikolay Savinov , Torsten Sattler , Gaurav Chaurasia

Generative models learn the distribution of data from a sample dataset and can then generate new data instances. Recent advances in deep learning has brought forth improvements in generative model architectures, and some state-of-the-art…

Cryptography and Security · Computer Science 2021-07-30 Luke A. Bauer , Vincent Bindschaedler

Identification of suspects based on partial and smudged fingerprints, commonly referred to as fingermarks or latent fingerprints, presents a significant challenge in the field of fingerprint recognition. Although fixed-length embeddings…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Abdul Wahab , Tariq Mahmood Khan , Shahzaib Iqbal , Bandar AlShammari , Bandar Alhaqbani , Imran Razzak

Deepfakes represent one of the toughest challenges in the world of Cybersecurity and Digital Forensics, especially considering the high-quality results obtained with recent generative AI-based solutions. Almost all generative models leave…

Computer Vision and Pattern Recognition · Computer Science 2024-10-04 Orazio Pontorno , Luca Guarnera , Sebastiano Battiato

Evaluating the realism of generated images remains a fundamental challenge in generative modeling. Existing distributional metrics such as the Frechet Inception Distance (FID) and CLIP-MMD (CMMD) compare feature distributions at a semantic…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Joé Napolitano , Pascal Nguyen

Deep generative models provide a systematic way to learn nonlinear data distributions, through a set of latent variables and a nonlinear "generator" function that maps latent points into the input space. The nonlinearity of the generator…

Machine Learning · Statistics 2021-12-14 Georgios Arvanitidis , Lars Kai Hansen , Søren Hauberg

This paper proposes DeepMarks, a novel end-to-end framework for systematic fingerprinting in the context of Deep Learning (DL). Remarkable progress has been made in the area of deep learning. Sharing the trained DL models has become a trend…

Cryptography and Security · Computer Science 2018-04-11 Huili Chen , Bita Darvish Rohani , Farinaz Koushanfar

In the course of the past few years, diffusion models (DMs) have reached an unprecedented level of visual quality. However, relatively little attention has been paid to the detection of DM-generated images, which is critical to prevent…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Jonas Ricker , Simon Damm , Thorsten Holz , Asja Fischer

This study investigates the application of Riemannian geometry-based methods for brain decoding using invasive electrophysiological recordings. Although previously employed in non-invasive, the utility of Riemannian geometry for invasive…

With generative models becoming increasingly sophisticated and diverse, detecting AI-generated images has become increasingly challenging. While existing AI-genereted Image detectors achieve promising performance on in-distribution…

Computer Vision and Pattern Recognition · Computer Science 2026-01-26 Haozhen Yan , Yan Hong , Suning Lang , Jiahui Zhan , Yikun Ji , Yujie Gao , Huijia Zhu , Jun Lan , Jianfu Zhang

Generative models aim to learn the distribution of observed data by generating new instances. With the advent of neural networks, deep generative models, including variational autoencoders (VAEs), generative adversarial networks (GANs), and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Zifan Shi , Sida Peng , Yinghao Xu , Andreas Geiger , Yiyi Liao , Yujun Shen

This paper explores the interplay between statistics and generative artificial intelligence. Generative statistics, an integral part of the latter, aims to construct models that can generate efficiently and meaningfully new data across the…

Methodology · Statistics 2025-02-25 Bing Cheng , Howell Tong

Stochastic-sampling-based Generative Neural Networks, such as Restricted Boltzmann Machines and Generative Adversarial Networks, are now used for applications such as denoising, image occlusion removal, pattern completion, and motion…

Machine Learning · Computer Science 2019-10-29 Alexander Potapov , Ian Colbert , Ken Kreutz-Delgado , Alexander Cloninger , Srinjoy Das

The ability to automatically estimate the quality and coverage of the samples produced by a generative model is a vital requirement for driving algorithm research. We present an evaluation metric that can separately and reliably measure…

Machine Learning · Statistics 2019-10-31 Tuomas Kynkäänniemi , Tero Karras , Samuli Laine , Jaakko Lehtinen , Timo Aila

Rapid growth of high-dimensional datasets in fields such as single-cell RNA sequencing and spatial genomics has led to unprecedented opportunities for scientific discovery, but it also presents unique computational and statistical…

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