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This paper introduces Generalized Attention Flow (GAF), a novel feature attribution method for Transformer-based models to address the limitations of current approaches. By extending Attention Flow and replacing attention weights with the…

Machine Learning · Computer Science 2025-02-25 Behrooz Azarkhalili , Maxwell Libbrecht

Flow models are effective at progressively generating realistic images, but they generally struggle to capture long-range dependencies during the generation process as they compress all the information from previous time steps into a single…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Mude Hui , Rui-Jie Zhu , Songlin Yang , Yu Zhang , Zirui Wang , Yuyin Zhou , Jason Eshraghian , Cihang Xie

Normalizing flow-based sampling methods have been successful in tackling computational challenges traditionally associated with simulating lattice quantum field theories. Further works have incorporated gauge and translational invariance of…

High Energy Physics - Lattice · Physics 2023-04-05 Dinesh P. R.

Density estimation, a central problem in machine learning, can be performed using Normalizing Flows (NFs). NFs comprise a sequence of invertible transformations, that turn a complex target distribution into a simple one, by exploiting the…

Machine Learning · Computer Science 2024-01-04 Massimiliano Patacchiola , Aliaksandra Shysheya , Katja Hofmann , Richard E. Turner

Traffic flow prediction is crucial for urban traffic management and public safety. Its key challenges lie in how to adaptively integrate the various factors that affect the flow changes. In this paper, we propose a unified neural network…

Machine Learning · Computer Science 2018-09-05 Lingbo Liu , Ruimao Zhang , Jiefeng Peng , Guanbin Li , Bowen Du , Liang Lin

Flow-based generative models have shown an excellent ability to explicitly learn the probability density function of data via a sequence of invertible transformations. Yet, learning attentions in generative flows remains understudied, while…

Machine Learning · Computer Science 2022-04-01 Rhea Sanjay Sukthanker , Zhiwu Huang , Suryansh Kumar , Radu Timofte , Luc Van Gool

The framework of normalizing flows provides a general strategy for flexible variational inference of posteriors over latent variables. We propose a new type of normalizing flow, inverse autoregressive flow (IAF), that, in contrast to…

Machine Learning · Computer Science 2017-02-01 Diederik P. Kingma , Tim Salimans , Rafal Jozefowicz , Xi Chen , Ilya Sutskever , Max Welling

We show that normalising flows become pathological when used to model targets whose supports have complicated topologies. In this scenario, we prove that a flow must become arbitrarily numerically noninvertible in order to approximate the…

Machine Learning · Statistics 2021-04-26 Rob Cornish , Anthony L. Caterini , George Deligiannidis , Arnaud Doucet

Flow models have rapidly become the go-to method for training and deploying large-scale generators, owing their success to inference-time flexibility via adjustable integration steps. A crucial ingredient in flow training is the choice of…

As 3D point clouds become the prevailing shape representation in computer vision, generating high-quality point clouds remains a challenging problem. Flow-based models have shown strong potential due to exact likelihood estimation and…

Signal Processing · Electrical Eng. & Systems 2026-03-31 Linhao Wang , Qichang Zhang , Yifan Yang , Ye Su , Hao Wang

Transformer-based architectures achieve state-of-the-art performance across a wide range of tasks in natural language processing, computer vision, and speech processing. However, their immense capacity often leads to overfitting, especially…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Mirza Samad Ahmed Baig , Syeda Anshrah Gillani , Abdul Akbar Khan , Shahid Munir Shah , Muhammad Omer Khan

Two fundamental problems in unsupervised learning are efficient inference for latent-variable models and robust density estimation based on large amounts of unlabeled data. Algorithms for the two tasks, such as normalizing flows and…

Machine Learning · Statistics 2018-08-02 Changyou Chen , Chunyuan Li , Liqun Chen , Wenlin Wang , Yunchen Pu , Lawrence Carin

Normalizing flows are bijective mappings between inputs and latent representations with a fully factorized distribution. They are very attractive due to exact likelihood valuation and efficient sampling. However, their effective capacity is…

Machine Learning · Computer Science 2021-11-03 Matej Grcić , Ivan Grubišić , Siniša Šegvić

We propose an approach for improving sequence modeling based on autoregressive normalizing flows. Each autoregressive transform, acting across time, serves as a moving frame of reference, removing temporal correlations, and simplifying the…

Machine Learning · Computer Science 2022-03-09 Joseph Marino , Lei Chen , Jiawei He , Stephan Mandt

Normalizing flows are a powerful class of generative models for continuous random variables, showing both strong model flexibility and the potential for non-autoregressive generation. These benefits are also desired when modeling discrete…

Machine Learning · Statistics 2019-06-06 Zachary M. Ziegler , Alexander M. Rush

Conditional Normalizing Flows (CNFs) are flexible generative models capable of representing complicated distributions with high dimensionality and large interdimensional correlations, making them appealing for structured output learning.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Mohsen Zand , Ali Etemad , Michael Greenspan

Normalising-flow variational inference (VI) can approximate complex posteriors, yet single-flow models often behave inconsistently across qualitatively different distributions. We propose Adaptive Mixture Flow Variational Inference…

Machine Learning · Computer Science 2025-10-03 Benjamin Wiriyapong , Oktay Karakuş , Kirill Sidorov

Normalizing flows and autoregressive models have been successfully combined to produce state-of-the-art results in density estimation, via Masked Autoregressive Flows (MAF), and to accelerate state-of-the-art WaveNet-based speech synthesis…

Machine Learning · Computer Science 2018-04-04 Chin-Wei Huang , David Krueger , Alexandre Lacoste , Aaron Courville

Normalizing Flows (NFs) are a class of generative models distinguished by a mathematically invertible architecture, where the forward pass transforms data into a latent space for density estimation, and the reverse pass generates new…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Yang Chen , Xiaowei Xu , Shuai Wang , Chenhui Zhu , Ruxue Wen , Xubin Li , Tiezheng Ge , Limin Wang

Normalizing flows are generative models that provide tractable density estimation via an invertible transformation from a simple base distribution to a complex target distribution. However, this technique cannot directly model data…

Machine Learning · Statistics 2021-11-15 Brendan Leigh Ross , Jesse C. Cresswell
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