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Diffusion models have become a leading framework in generative modeling, yet their theoretical understanding -- especially for high-dimensional data concentrated on low-dimensional structures -- remains incomplete. This paper investigates…

Machine Learning · Computer Science 2026-04-29 Zixuan Zhang , Kaixuan Huang , Tuo Zhao , Mengdi Wang , Minshuo Chen

Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

Structural node embeddings, vectors capturing local connectivity information for each node in a graph, have many applications in data mining and machine learning, e.g., network alignment and node classification, clustering and anomaly…

Social and Information Networks · Computer Science 2022-07-22 Ciwan Ceylan , Kambiz Ghoorchian , Danica Kragic

Diffusion-based generative models have significantly advanced text-to-image synthesis, demonstrating impressive text comprehension and zero-shot generalization. These models refine images from random noise based on textual prompts, with…

Machine Learning · Computer Science 2025-05-16 Youcef Djenouri , Nassim Belmecheri , Tomasz Michalak , Jan Dubiński , Ahmed Nabil Belbachir , Anis Yazidi

Recent advances in image generation have made diffusion models powerful tools for creating high-quality images. However, their iterative denoising process makes understanding and interpreting their semantic latent spaces more challenging…

Computation and Language · Computer Science 2024-11-06 E. Zhixuan Zeng , Yuhao Chen , Alexander Wong

Representing data by means of graph structures identifies one of the most valid approach to extract information in several data analysis applications. This is especially true when multimodal datasets are investigated, as records collected…

Social and Information Networks · Computer Science 2022-10-18 Andrea Marinoni , Christian Jutten , Mark Girolami

Diffusion models have achieved great success in modeling continuous data modalities such as images, audio, and video, but have seen limited use in discrete domains such as language. Recent attempts to adapt diffusion to language have…

Computation and Language · Computer Science 2023-11-08 Justin Lovelace , Varsha Kishore , Chao Wan , Eliot Shekhtman , Kilian Q. Weinberger

Diffusion autoencoders (DAs) are variants of diffusion generative models that use an input-dependent latent variable to capture representations alongside the diffusion process. These representations, to varying extents, can be used for…

Machine Learning · Computer Science 2025-06-03 Magdalena Proszewska , Nikolay Malkin , N. Siddharth

Employing a forward diffusion chain to gradually map the data to a noise distribution, diffusion-based generative models learn how to generate the data by inferring a reverse diffusion chain. However, this approach is slow and costly…

Machine Learning · Statistics 2023-09-08 Huangjie Zheng , Pengcheng He , Weizhu Chen , Mingyuan Zhou

Recently, there has been great success in applying deep neural networks on graph structured data. Most work, however, focuses on either node- or graph-level supervised learning, such as node, link or graph classification or node-level…

Machine Learning · Computer Science 2021-12-15 Robin Winter , Frank Noé , Djork-Arné Clevert

Recently, self-supervised learning has proved to be effective to learn representations of events suitable for temporal segmentation in image sequences, where events are understood as sets of temporally adjacent images that are semantically…

Machine Learning · Computer Science 2020-12-11 Mariella Dimiccoli , Herwig Wendt

Graph representation learning has attracted much attention in supporting high quality candidate search at scale. Despite its effectiveness in learning embedding vectors for objects in the user-item interaction network, the computational…

Information Retrieval · Computer Science 2020-03-05 Qiaoyu Tan , Ninghao Liu , Xing Zhao , Hongxia Yang , Jingren Zhou , Xia Hu

Diffusion models have shown great promise for image generation, beating GANs in terms of generation diversity, with comparable image quality. However, their application to 3D shapes has been limited to point or voxel representations that…

Computer Vision and Pattern Recognition · Computer Science 2022-12-16 Gimin Nam , Mariem Khlifi , Andrew Rodriguez , Alberto Tono , Linqi Zhou , Paul Guerrero

We propose Embedding Propagation (EP), an unsupervised learning framework for graph-structured data. EP learns vector representations of graphs by passing two types of messages between neighboring nodes. Forward messages consist of label…

Machine Learning · Computer Science 2017-10-10 Alberto Garcia-Duran , Mathias Niepert

Diffusion Models represent a significant advancement in generative modeling, employing a dual-phase process that first degrades domain-specific information via Gaussian noise and restores it through a trainable model. This framework enables…

Neural and Evolutionary Computing · Computer Science 2024-11-21 Benedikt Hartl , Yanbo Zhang , Hananel Hazan , Michael Levin

In recent years, generative diffusion models have achieved a rapid paradigm shift in deep generative models by showing groundbreaking performance across various applications. Meanwhile, structured data, encompassing tabular and time series…

Machine Learning · Computer Science 2023-07-11 Heejoon Koo , To Eun Kim

Deep learning on graphs has become a popular research topic with many applications. However, past work has concentrated on learning graph embedding tasks, which is in contrast with advances in generative models for images and text. Is it…

Machine Learning · Computer Science 2018-02-13 Martin Simonovsky , Nikos Komodakis

Diffusion-based Deep Generative Models (DDGMs) offer state-of-the-art performance in generative modeling. Their main strength comes from their unique setup in which a model (the backward diffusion process) is trained to reverse the forward…

Machine Learning · Computer Science 2022-06-02 Kamil Deja , Anna Kuzina , Tomasz Trzciński , Jakub M. Tomczak

While diffusion models excel at generating high-quality samples, their latent variables typically lack semantic meaning and are not suitable for representation learning. Here, we propose InfoDiffusion, an algorithm that augments diffusion…

Machine Learning · Computer Science 2023-06-16 Yingheng Wang , Yair Schiff , Aaron Gokaslan , Weishen Pan , Fei Wang , Christopher De Sa , Volodymyr Kuleshov

Dataset distillation enables the training of deep neural networks with comparable performance in significantly reduced time by compressing large datasets into small and representative ones. Although the introduction of generative models has…

Machine Learning · Computer Science 2025-05-27 Mingzhuo Li , Guang Li , Jiafeng Mao , Takahiro Ogawa , Miki Haseyama