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Increasingly high-stakes decisions are made using neural networks in order to make predictions. Specifically, meteorologists and hedge funds apply these techniques to time series data. When it comes to prediction, there are certain…

机器学习 · 计算机科学 2022-11-14 Levente Foldesi , Matias Valdenegro-Toro

We present a likelihood-free probabilistic inversion method based on normalizing flows for high-dimensional inverse problems. The proposed method is composed of two complementary networks: a summary network for data compression and an…

机器学习 · 计算机科学 2024-12-30 Jice Zeng , Yuanzhe Wang , Alexandre M. Tartakovsky , David Barajas-Solano

The accessibility of spatially distributed data, enabled by affordable sensors, field, and numerical experiments, has facilitated the development of data-driven solutions for scientific problems, including climate change, weather…

机器学习 · 计算机科学 2023-11-09 Vardhan Dongre , Gurpreet Singh Hora

Uncertainty quantification for complex deep learning models is increasingly important as these techniques see growing use in high-stakes, real-world settings. Currently, the quality of a model's uncertainty is evaluated using…

机器学习 · 计算机科学 2021-12-15 Benjamin Kompa , Jasper Snoek , Andrew Beam

Deep learning (DL) has shown great potential in medical image enhancement problems, such as super-resolution or image synthesis. However, to date, little consideration has been given to uncertainty quantification over the output image. Here…

Turbulent flows play an important role in many scientific and technological design problems. Both Sub-Grid Scale (SGS) models in Large Eddy Simulations (LES) and Reynolds Averaged Navier Stokes (RANS) based modeling will require turbulence…

流体动力学 · 物理学 2024-07-16 Minghan Chu

Uncertainty quantification is an important and challenging problem in deep learning. Previous methods rely on dropout layers which are not present in modern deep architectures or batch normalization which is sensitive to batch sizes. In…

计算机视觉与模式识别 · 计算机科学 2020-07-10 Lukasz Wandzik , Raul Vicente Garcia , Jörg Krüger

The high dynamics and heterogeneous interactions in the complicated urban systems have raised the issue of uncertainty quantification in spatiotemporal human mobility, to support critical decision-makings in risk-aware web applications such…

机器学习 · 计算机科学 2021-02-12 Zhengyang Zhou , Yang Wang , Xike Xie , Lei Qiao , Yuantao Li

Despite the remarkable success of sampling-based generative models such as flow matching, they can still produce samples of inconsistent or degraded quality. To assess sample reliability and generate higher-quality outputs, we propose…

计算机视觉与模式识别 · 计算机科学 2026-05-14 Juyeop Han , Lukas Lao Beyer , Sertac Karaman

Uncertainty quantification is essential when dealing with ill-conditioned inverse problems due to the inherent nonuniqueness of the solution. Bayesian approaches allow us to determine how likely an estimation of the unknown parameters is…

机器学习 · 统计学 2020-01-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

统计方法学 · 统计学 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

定量方法 · 定量生物学 2025-08-27 Michael J. Plank , Matthew J. Simpson

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

数值分析 · 数学 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

In earthquake source inversions aimed at understanding diverse fault activities on earthquake faults using seismic observation data, uncertainties in velocity structure models are typically not considered. As a result, biases and…

地球物理 · 物理学 2025-01-31 Ryoichiro Agata

Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among many complex systems in science and engineering. The existence of a strange attractor in the turbulent…

流体动力学 · 物理学 2018-02-23 Andrew J. Majda , Di Qi

Effective quantification of uncertainty is an essential and still missing step towards a greater adoption of deep-learning approaches in different applications, including mission-critical ones. In particular, investigations on the…

机器学习 · 计算机科学 2023-04-14 Marco Forgione , Dario Piga

We present a new statistically driven method for analyzing the modeling of geophysical flows. Many models have been advocated by different modelers for such flows incorporating different modeling assumptions. Limited and sparse…

We present a methodology for quantifying seismic velocity and pore pressure uncertainty that incorporates information regarding the geological history of a basin, rock physics, well log, drilling and seismic data. In particular, our…

地球物理 · 物理学 2019-11-21 Anshuman Pradhan , Huy Q. Le , Nader C. Dutta , Biondo Biondi , Tapan Mukerji

The expected growth in wind energy capacity requires efficient and accurate models for wind farm layout optimization, control, and annual energy predictions. Although analytical wake models are widely used for these applications, several…

流体动力学 · 物理学 2023-02-16 Frederik Aerts , Luca Lanzilao , Johan Meyers

The comprehensive integration of machine learning healthcare models within clinical practice remains suboptimal, notwithstanding the proliferation of high-performing solutions reported in the literature. A predominant factor hindering…

图像与视频处理 · 电气工程与系统科学 2023-10-12 Ling Huang , Su Ruan , Yucheng Xing , Mengling Feng