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Attention has long been proposed by psychologists as important for effectively dealing with the enormous sensory stimulus available in the neocortex. Inspired by the visual attention models in computational neuroscience and the need of…

Computer Vision and Pattern Recognition · Computer Science 2015-02-24 Yichuan Tang , Nitish Srivastava , Ruslan Salakhutdinov

Flow-based generative models parameterize probability distributions through an invertible transformation and can be trained by maximum likelihood. Invertible residual networks provide a flexible family of transformations where only…

Machine Learning · Statistics 2020-07-27 Ricky T. Q. Chen , Jens Behrmann , David Duvenaud , Jörn-Henrik Jacobsen

Generative flows models enjoy the properties of tractable exact likelihood and efficient sampling, which are composed of a sequence of invertible functions. In this paper, we incorporate matrix exponential into generative flows. Matrix…

Machine Learning · Computer Science 2020-07-21 Changyi Xiao , Ligang Liu

In this paper, we present a new class of invertible transformations with an application to flow-based generative models. We indicate that many well-known invertible transformations in reversible logic and reversible neural networks could be…

Machine Learning · Computer Science 2021-07-13 Jakub M. Tomczak

Sequential Recommendation (SR) focuses on personalizing user experiences by predicting future preferences based on historical interactions. Transformer models, with their attention mechanisms, have become the dominant architecture in SR…

Information Retrieval · Computer Science 2025-08-05 Yuli Liu , Wenjun Kong , Cheng Luo , Weizhi Ma

Many measurements or observations in computer vision and machine learning manifest as non-Euclidean data. While recent proposals (like spherical CNN) have extended a number of deep neural network architectures to manifold-valued data, and…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Xingjian Zhen , Rudrasis Chakraborty , Liu Yang , Vikas Singh

Transformers have emerged as a powerful neural network architecture capable of tackling a wide range of learning tasks. In this work, we provide a theoretical analysis of their ability to automatically extract structure from data in an…

Machine Learning · Statistics 2025-10-29 Rodrigo Maulen-Soto , Pierre Marion , Claire Boyer

Masked diffusion models (MDMs), which leverage bidirectional attention and a denoising process, are narrowing the performance gap with autoregressive models (ARMs). However, their internal attention mechanisms remain under-explored. This…

Machine Learning · Computer Science 2026-01-14 Xin Dai , Pengcheng Huang , Zhenghao Liu , Shuo Wang , Yukun Yan , Chaojun Xiao , Yu Gu , Ge Yu , Maosong Sun

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book…

Machine Learning · Statistics 2026-03-11 Shinto Eguchi

Transformers based on the attention mechanism have achieved impressive success in various areas. However, the attention mechanism has a quadratic complexity, significantly impeding Transformers from dealing with numerous tokens and scaling…

Machine Learning · Computer Science 2022-06-17 Haixu Wu , Jialong Wu , Jiehui Xu , Jianmin Wang , Mingsheng Long

Attention has been proved to be an efficient mechanism to capture long-range dependencies. However, so far it has not been deployed in invertible networks. This is due to the fact that in order to make a network invertible, every component…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Jiajun Zha , Yiran Zhong , Jing Zhang , Richard Hartley , Liang Zheng

Memory units have been widely used to enrich the capabilities of deep networks on capturing long-term dependencies in reasoning and prediction tasks, but little investigation exists on deep generative models (DGMs) which are good at…

Machine Learning · Computer Science 2016-05-31 Chongxuan Li , Jun Zhu , Bo Zhang

Transformer is a ubiquitous model for natural language processing and has attracted wide attentions in computer vision. The attention maps are indispensable for a transformer model to encode the dependencies among input tokens. However,…

Machine Learning · Computer Science 2021-02-26 Yujing Wang , Yaming Yang , Jiangang Bai , Mingliang Zhang , Jing Bai , Jing Yu , Ce Zhang , Gao Huang , Yunhai Tong

Masked diffusion models (MDMs), which leverage bidirectional attention and a denoising process, are narrowing the performance gap with autoregressive models (ARMs). However, their internal attention mechanisms remain under-explored. This…

Artificial Intelligence · Computer Science 2026-01-13 Pengcheng Huang , Tianming Liu , Zhenghao Liu , Yukun Yan , Shuo Wang , Tong Xiao , Zulong Chen , Maosong Sun

Vision transformers have shown outstanding performance in image generation, yet their adoption in fluid dynamics remains limited. We introduce the Latent Attention on Masked Patches (LAMP) model, an interpretable regression-based modified…

Machine Learning · Computer Science 2026-04-14 Ben Eze , Luca Magri , Andrea Nóvoa

Graphical flows add further structure to normalizing flows by encoding non-trivial variable dependencies. Previous graphical flow models have focused primarily on a single flow direction: the normalizing direction for density estimation, or…

Machine Learning · Computer Science 2022-04-27 Jacobie Mouton , Steve Kroon

Attention mechanisms that confer selective focus on a strict subset of input elements are nearly ubiquitous in language models today. We posit there to be downside to the use of attention: most input information is lost. In support of this…

Computation and Language · Computer Science 2025-03-21 Benjamin L. Badger

Normalizing flows provide an elegant method for obtaining tractable density estimates from distributions by using invertible transformations. The main challenge is to improve the expressivity of the models while keeping the invertibility…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Avideep Mukherjee , Badri Narayan Patro , Vinay P. Namboodiri

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Recurrent neural networks with differentiable attention mechanisms have had success in generative and classification tasks. We show that the classification performance of such models can be enhanced by guiding a randomly initialized model…

Machine Learning · Computer Science 2017-12-18 Jack Lindsey
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