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Flooding is a destructive and dangerous hazard and climate change appears to be increasing the frequency of catastrophic flooding events around the world. Physics-based flood models are costly to calibrate and are rarely generalizable…

机器学习 · 计算机科学 2019-10-16 Chelsea Sidrane , Dylan J Fitzpatrick , Andrew Annex , Diane O'Donoghue , Yarin Gal , Piotr Biliński

Anomaly estimation, or the problem of finding a subset of a dataset that differs from the rest of the dataset, is a classic problem in machine learning and data mining. In both theoretical work and in applications, the anomaly is assumed to…

机器学习 · 计算机科学 2021-06-14 Uthsav Chitra , Kimberly Ding , Jasper C. H. Lee , Benjamin J. Raphael

Artificial neural networks (ANNs) are highly flexible predictive models. However, reliably quantifying uncertainty for their predictions is a continuing challenge. There has been much recent work on "recalibration" of predictive…

统计方法学 · 统计学 2024-03-12 R. Torres , D. J. Nott , S. A. Sisson , T. Rodrigues , J. G. Reis , G. S. Rodrigues

Normalizing Flows (NF) are powerful likelihood-based generative models that are able to trade off between expressivity and tractability to model complex densities. A now well established research avenue leverages optimal transport (OT) and…

机器学习 · 计算机科学 2023-04-17 Guillaume Morel , Lucas Drumetz , Simon Benaïchouche , Nicolas Courty , François Rousseau

Graph Neural Networks (GNN) provide a powerful framework that elegantly integrates Graph theory with Machine learning for modeling and analysis of networked data. We consider the problem of quantifying the uncertainty in predictions of GNN…

机器学习 · 计算机科学 2022-05-23 Sai Munikoti , Deepesh Agarwal , Laya Das , Balasubramaniam Natarajan

Adaptive data analysis is frequently criticized for its pessimistic generalization guarantees. The source of these pessimistic bounds is a model that permits arbitrary, possibly adversarial analysts that optimally use information to bias…

机器学习 · 计算机科学 2019-05-14 Tijana Zrnic , Moritz Hardt

The goal of machine learning is to find models that minimize prediction error on data that has not yet been seen. Its operational paradigm assumes access to a dataset $S$ and articulates a scheme for evaluating how well a given model…

机器学习 · 计算机科学 2026-04-22 Maxim Raginsky , Benjamin Recht

Recent advances in machine learning have led to the development of new methods for enhancing Monte Carlo methods such as Markov chain Monte Carlo (MCMC) and importance sampling (IS). One such method is normalizing flows, which use a neural…

统计计算 · 统计学 2024-01-12 Charly Andral

Since its introduction, the skew-$t$ distribution has received much attention in the literature both for the study of theoretical properties and as a model for data fitting in empirical work. A major motivation for this interest is the high…

统计计算 · 统计学 2019-07-25 Adelchi Azzalini , Mahdi Salehi

We develop two novel approaches for constructing skewed and bimodal flexible distributions that can effectively generalize classical symmetric distributions. We illustrate the application of introduced techniques by extending normal,…

统计方法学 · 统计学 2021-07-01 Jamil Ownuk , Ahmad Nezakati , Hossein Baghishani

Continuous normalizing flows (CNFs) are a generative method for learning probability distributions, which is based on ordinary differential equations. This method has shown remarkable empirical success across various applications, including…

机器学习 · 统计学 2024-04-02 Yuan Gao , Jian Huang , Yuling Jiao , Shurong Zheng

Generative adversarial networks (GANs) and normalizing flows are both approaches to density estimation that use deep neural networks to transform samples from an uninformative prior distribution to an approximation of the data distribution.…

机器学习 · 计算机科学 2021-12-15 Tianci Liu , Jeffrey Regier

We present a new approximation to the normal distribution quantile function. It has a similar form to the approximation of Beasley and Springer [3], providing a maximum absolute error of less than $2.5 \cdot 10^{-5}$. This is less accurate…

统计计算 · 统计学 2010-02-03 Paul M. Voutier

Unsupervised anomaly detection and localization is crucial to the practical application when collecting and labeling sufficient anomaly data is infeasible. Most existing representation-based approaches extract normal image features with a…

计算机视觉与模式识别 · 计算机科学 2021-11-17 Jiawei Yu , Ye Zheng , Xiang Wang , Wei Li , Yushuang Wu , Rui Zhao , Liwei Wu

In this paper, an alpha-beta-skew-logistic distribution is proposed following the same methodology as those of alpha-beta-skew-normal of Shafiei et al. (2016) and investigated some of its related distributional properties. Finally, the…

统计理论 · 数学 2019-10-29 Sricharan Shah , Partha Jyoti Hazarika

In many situations we are interested in modeling real data where the response distribution, even conditionally on the covariates, presents asymmetry and/or heavy/light tails. In these situations, it is more suitable to consider models based…

统计方法学 · 统计学 2024-06-06 João Victor B. de Freitas , Caio L. N. Azevedo

The pseudo-marginal algorithm is a variant of the Metropolis--Hastings algorithm which samples asymptotically from a probability distribution when it is only possible to estimate unbiasedly an unnormalized version of its density.…

统计计算 · 统计学 2019-12-04 Sebastian M. Schmon , George Deligiannidis , Arnaud Doucet , Michael K. Pitt

Recently a new algorithm for sampling posteriors of unnormalised probability densities, called ABC Shadow, was proposed in [8]. This talk introduces a global optimisation procedure based on the ABC Shadow simulation dynamics. First the…

统计计算 · 统计学 2018-03-20 R. S. Stoica , M. Deaconu , L. Hurtado

Due to the non-stationarity of time series, the distribution shift problem largely hinders the performance of time series forecasting. Existing solutions either rely on using certain statistics to specify the shift, or developing specific…

机器学习 · 计算机科学 2025-02-10 Wei Fan , Shun Zheng , Pengyang Wang , Rui Xie , Kun Yi , Qi Zhang , Jiang Bian , Yanjie Fu

Normalizing Flows (NFs) are able to model complicated distributions p(y) with strong inter-dimensional correlations and high multimodality by transforming a simple base density p(z) through an invertible neural network under the change of…

机器学习 · 计算机科学 2023-11-14 Christina Winkler , Daniel Worrall , Emiel Hoogeboom , Max Welling