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Given an inverse problem with a normalizing flow prior, we wish to estimate the distribution of the underlying signal conditioned on the observations. We approach this problem as a task of conditional inference on the pre-trained…

Machine Learning · Statistics 2021-06-16 Jay Whang , Erik M. Lindgren , Alexandros G. Dimakis

Inverse problems correspond to a certain type of optimization problems formulated over appropriate input distributions. Recently, there has been a growing interest in understanding the computational hardness of these optimization problems,…

Machine Learning · Statistics 2018-09-03 Alex Nowak , Soledad Villar , Afonso S. Bandeira , Joan Bruna

Anomaly detection (AD) is the machine learning task of identifying highly discrepant abnormal samples by solely relying on the consistency of the normal training samples. Under the constraints of a distribution shift, the assumption that…

Machine Learning · Computer Science 2023-12-25 João B. S. Carvalho , Mengtao Zhang , Robin Geyer , Carlos Cotrini , Joachim M. Buhmann

Vision Transformers (ViT) have been shown to attain highly competitive performance for a wide range of vision applications, such as image classification, object detection and semantic image segmentation. In comparison to convolutional…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Andreas Steiner , Alexander Kolesnikov , Xiaohua Zhai , Ross Wightman , Jakob Uszkoreit , Lucas Beyer

Exploiting symmetry in dynamical systems is a powerful way to improve the generalization of deep learning. The model learns to be invariant to transformation and hence is more robust to distribution shift. Data augmentation and equivariant…

Machine Learning · Computer Science 2022-06-22 Rui Wang , Robin Walters , Rose Yu

To enhance low-light images to normally-exposed ones is highly ill-posed, namely that the mapping relationship between them is one-to-many. Previous works based on the pixel-wise reconstruction losses and deterministic processes fail to…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Yufei Wang , Renjie Wan , Wenhan Yang , Haoliang Li , Lap-Pui Chau , Alex C. Kot

Invariance describes transformations that do not alter data's underlying semantics. Neural networks that preserve natural invariance capture good inductive biases and achieve superior performance. Hence, modern networks are handcrafted to…

Machine Learning · Computer Science 2023-09-18 Derek Xu , Yizhou Sun , Wei Wang

This work presents a formalism to improve the predictive accuracy of physical models by learning generalizable augmentations from sparse data. Building on recent advances in data-driven turbulence modeling, the present approach, referred to…

Fluid Dynamics · Physics 2021-07-28 Vishal Srivastava , Karthik Duraisamy

Real-world data generation often involves certain geometries (e.g., graphs) that induce instance-level interdependence. This characteristic makes the generalization of learning models more difficult due to the intricate interdependent…

Machine Learning · Computer Science 2024-06-10 Qitian Wu , Fan Nie , Chenxiao Yang , Junchi Yan

A fundamental problem in object recognition is the development of image representations that are invariant to common transformations such as translation, rotation, and small deformations. There are multiple hypotheses regarding the source…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Eric Kauderer-Abrams

To generalize well, classifiers must learn to be invariant to nuisance transformations that do not alter an input's class. Many problems have "class-agnostic" nuisance transformations that apply similarly to all classes, such as lighting…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Allan Zhou , Fahim Tajwar , Alexander Robey , Tom Knowles , George J. Pappas , Hamed Hassani , Chelsea Finn

We present a deep transformation model for probabilistic regression. Deep learning is known for outstandingly accurate predictions on complex data but in regression tasks, it is predominantly used to just predict a single number. This…

Machine Learning · Statistics 2020-04-02 Beate Sick , Torsten Hothorn , Oliver Dürr

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Gabriel della Maggiora , Luis Alberto Croquevielle , Nikita Deshpande , Harry Horsley , Thomas Heinis , Artur Yakimovich

Humans are continuously exposed to a stream of visual data with a natural temporal structure. However, most successful computer vision algorithms work at image level, completely discarding the precious information carried by motion. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-04-27 Alessandro Betti , Marco Gori , Stefano Melacci

In this chapter we provide a theoretically founded investigation of state-of-the-art learning approaches for inverse problems from the point of view of spectral reconstruction operators. We give an extended definition of regularization…

Numerical Analysis · Mathematics 2024-06-05 Martin Burger , Samira Kabri

Providing invariances in a given learning task conveys a key inductive bias that can lead to sample-efficient learning and good generalisation, if correctly specified. However, the ideal invariances for many problems of interest are often…

Machine Learning · Computer Science 2022-07-19 Ruchika Chavhan , Henry Gouk , Jan Stühmer , Timothy Hospedales

Equivariant and invariant machine learning models exploit symmetries and structural patterns in data to improve sample efficiency. While empirical studies suggest that data-driven methods such as regularization and data augmentation can…

Machine Learning · Statistics 2025-06-17 Hao Duan , Guido Montúfar

Place recognition is one of the most challenging problems in computer vision, and has become a key part in mobile robotics and autonomous driving applications for performing loop closure in visual SLAM systems. Moreover, the difficulty of…

Computer Vision and Pattern Recognition · Computer Science 2015-05-28 Ruben Gomez-Ojeda , Manuel Lopez-Antequera , Nicolai Petkov , Javier Gonzalez-Jimenez

The convenience of 3D sensors has led to an increase in the use of 3D point clouds in various applications. However, the differences in acquisition devices or scenarios lead to divergence in the data distribution of point clouds, which…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Zhimin Zhang , Xiang Gao , Wei Hu

Despite the recent success in probabilistic modeling and their applications, generative models trained using traditional inference techniques struggle to adapt to new distributions, even when the target distribution may be closely related…

Machine Learning · Computer Science 2019-09-17 Mike Wu , Kristy Choi , Noah Goodman , Stefano Ermon
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