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We present a novel approach to transcranial ultrasound computed tomography that utilizes normalizing flows to improve the speed of imaging and provide Bayesian uncertainty quantification. Our method combines physics-informed methods and…

Image and Video Processing · Electrical Eng. & Systems 2023-03-08 Rafael Orozco , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Tristan van Leeuwen , Felix Herrmann

Neural Networks (NNs) have provided state-of-the-art results for many challenging machine learning tasks such as detection, regression and classification across the domains of computer vision, speech recognition and natural language…

Machine Learning · Statistics 2026-04-21 Ethan Goan , Clinton Fookes

Randomly perturbing networks during the training process is a commonly used approach to improving generalization performance. In this paper, we present a theoretical study of one particular way of random perturbation, which corresponds to…

Machine Learning · Computer Science 2021-02-16 Oussama Dhifallah , Yue M. Lu

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

Overfitting is one of the most critical challenges in deep neural networks, and there are various types of regularization methods to improve generalization performance. Injecting noises to hidden units during training, e.g., dropout, is…

Machine Learning · Computer Science 2017-11-10 Hyeonwoo Noh , Tackgeun You , Jonghwan Mun , Bohyung Han

Quantifying uncertainty in medical image segmentation applications is essential, as it is often connected to vital decision-making. Compelling attempts have been made in quantifying the uncertainty in image segmentation architectures, e.g.…

Computer Vision and Pattern Recognition · Computer Science 2021-08-06 M. M. A. Valiuddin , C. G. A. Viviers , R. J. G. van Sloun , P. H. N. de With , F. van der Sommen

We introduce a model of hadronization based on invertible neural networks that faithfully reproduces a simplified version of the Lund string model for meson hadronization. Additionally, we introduce a new training method for normalizing…

High Energy Physics - Phenomenology · Physics 2024-08-14 Christian Bierlich , Phil Ilten , Tony Menzo , Stephen Mrenna , Manuel Szewc , Michael K. Wilkinson , Ahmed Youssef , Jure Zupan

A central theme in classical algorithms for the reconstruction of discontinuous functions from observational data is perimeter regularization via the use of the total variation. On the other hand, sparse or noisy data often demands a…

Optimization and Control · Mathematics 2020-04-13 Oliver R. A. Dunbar , Matthew M. Dunlop , Charles M. Elliott , Viet Ha Hoang , Andrew M. Stuart

Normalizing flows are exact-likelihood generative neural networks which approximately transform samples from a simple prior distribution to samples of the probability distribution of interest. Recent work showed that such generative models…

Machine Learning · Statistics 2020-10-27 Jonas Köhler , Leon Klein , Frank Noé

Safe and reliable state estimation techniques are a critical component of next-generation robotic systems. Agents in such systems must be able to reason about the intentions and trajectories of other agents for safe and efficient motion…

Robotics · Computer Science 2023-06-28 Harrison Delecki , Liam A. Kruse , Marc R. Schlichting , Mykel J. Kochenderfer

Sequential Bayesian inference over predictive functions is a natural framework for continual learning from streams of data. However, applying it to neural networks has proved challenging in practice. Addressing the drawbacks of existing…

Machine Learning · Statistics 2023-12-29 Tim G. J. Rudner , Freddie Bickford Smith , Qixuan Feng , Yee Whye Teh , Yarin Gal

Studies in neuroscience have shown that biological synapses follow a log-normal distribution whose transitioning can be explained by noisy multiplicative dynamics. Biological networks can function stably even under dynamically fluctuating…

Machine Learning · Computer Science 2025-06-24 Keigo Nishida , Eren Mehmet Kıral , Kenichi Bannai , Mohammad Emtiyaz Khan , Thomas Möllenhoff

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

The need for function estimation in label-limited settings is common in the natural sciences. At the same time, prior knowledge of function values is often available in these domains. For example, data-free biophysics-based models can be…

Machine Learning · Computer Science 2022-10-17 Hunter Nisonoff , Yixin Wang , Jennifer Listgarten

Probabilistic graphical models compactly represent joint distributions by decomposing them into factors over subsets of random variables. In Bayesian networks, the factors are conditional probability distributions. For many problems, common…

Machine Learning · Computer Science 2018-08-21 Weirui Kong , Wenyi Wang

Normalizing Flows (NFs) describe a class of models that express a complex target distribution as the composition of a series of bijective transformations over a simpler base distribution. By limiting the space of candidate transformations…

Machine Learning · Computer Science 2023-09-11 Keegan Kelly , Lorena Piedras , Sukrit Rao , David Roth

The normal distribution plays a central role in information theory - it is at the same time the best-case signal and worst-case noise distribution, has the greatest representational capacity of any distribution, and offers an equivalence…

Machine Learning · Computer Science 2025-06-09 Daniel Eftekhari , Vardan Papyan

Based on the manifold hypothesis, real-world data often lie on a low-dimensional manifold, while normalizing flows as a likelihood-based generative model are incapable of finding this manifold due to their structural constraints. So, one…

Machine Learning · Computer Science 2022-06-08 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

Modern neural networks tend to be overconfident on unseen, noisy or incorrectly labelled data and do not produce meaningful uncertainty measures. Bayesian deep learning aims to address this shortcoming with variational approximations (such…

Machine Learning · Statistics 2018-05-28 Nick Pawlowski , Andrew Brock , Matthew C. H. Lee , Martin Rajchl , Ben Glocker

We introduce a novel uncertainty estimation for classification tasks for Bayesian convolutional neural networks with variational inference. By normalizing the output of a Softplus function in the final layer, we estimate aleatoric and…

Machine Learning · Computer Science 2019-05-15 Kumar Shridhar , Felix Laumann , Marcus Liwicki