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Modern simulation-based inference techniques use neural networks to solve inverse problems efficiently. One notable strategy is neural posterior estimation (NPE), wherein a neural network parameterizes a distribution to approximate the…

Instrumentation and Methods for Astrophysics · Physics 2024-03-06 Alex Kolmus , Justin Janquart , Tomasz Baka , Twan van Laarhoven , Chris Van Den Broeck , Tom Heskes

Deep neural networks are often ignorant about what they do not know and overconfident when they make uninformed predictions. Some recent approaches quantify classification uncertainty directly by training the model to output high…

Machine Learning · Computer Science 2020-06-09 Murat Sensoy , Lance Kaplan , Federico Cerutti , Maryam Saleki

In recent years, neural networks have revolutionized various domains, yet challenges such as hyperparameter tuning and overfitting remain significant hurdles. Bayesian neural networks offer a framework to address these challenges by…

Machine Learning · Computer Science 2025-12-16 Hayk Amirkhanian , Marco F. Huber

Adding domain knowledge to a learning system is known to improve results. In multi-parameter Bayesian frameworks, such knowledge is incorporated as a prior. On the other hand, various model parameters can have different learning rates in…

Machine Learning · Computer Science 2022-06-22 Sareh Nabi , Houssam Nassif , Joseph Hong , Hamed Mamani , Guido Imbens

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

The prior distribution for the unknown model parameters plays a crucial role in the process of statistical inference based on Bayesian methods. However, specifying suitable priors is often difficult even when detailed prior knowledge is…

Methodology · Statistics 2020-03-18 Marcelo Hartmann , Georgi Agiashvili , Paul Bürkner , Arto Klami

Deep ensembles have emerged as a powerful technique for improving predictive performance and enhancing model robustness across various applications by leveraging model diversity. However, traditional deep ensemble methods are often…

Computer vision is hard because of a large variability in lighting, shape, and texture; in addition the image signal is non-additive due to occlusion. Generative models promised to account for this variability by accurately modelling the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-10 Varun Jampani , Sebastian Nowozin , Matthew Loper , Peter V. Gehler

Despite their theoretical appealingness, Bayesian neural networks (BNNs) are left behind in real-world adoption, mainly due to persistent concerns on their scalability, accessibility, and reliability. In this work, we develop the…

Machine Learning · Computer Science 2022-10-14 Zhijie Deng , Jun Zhu

The standard approaches to neural network implementation yield powerful function approximation capabilities but are limited in their abilities to learn meta representations and reason probabilistic uncertainties in their predictions.…

Machine Learning · Computer Science 2023-10-05 Saurav Jha , Dong Gong , Xuesong Wang , Richard E. Turner , Lina Yao

Achieving robust uncertainty quantification for deep neural networks represents an important requirement in many real-world applications of deep learning such as medical imaging where it is necessary to assess the reliability of a neural…

Machine Learning · Computer Science 2024-03-15 Tim Rensmeyer , Oliver Niggemann

Bayesian neural networks have shown great promise in many applications where calibrated uncertainty estimates are crucial and can often also lead to a higher predictive performance. However, it remains challenging to choose a good prior…

Machine Learning · Statistics 2021-05-17 Vincent Fortuin , Adrià Garriga-Alonso , Mark van der Wilk , Laurence Aitchison

We propose a novel method for closed-form predictive distribution modeling with neural nets. In quantifying prediction uncertainty, we build on Evidential Deep Learning, which has been impactful as being both simple to implement and giving…

Machine Learning · Statistics 2021-01-22 Manuel Haussmann , Sebastian Gerwinn , Melih Kandemir

Many statistical problems include model parameters that are defined as the solutions to optimization sub-problems. These include classical approaches such as profile likelihood as well as modern applications involving flow networks or…

Methodology · Statistics 2025-03-17 Cheng Zeng , Yaozhi Yang , Jason Xu , Leo L Duan

Simulation-based inference methods have been shown to be inaccurate in the data-poor regime, when training simulations are limited or expensive. Under these circumstances, the inference network is particularly prone to overfitting, and…

Predicting outcomes in external domains is challenging due to hidden confounders that potentially influence both predictors and outcomes. Well-established methods frequently rely on stringent assumptions, explicit knowledge about the…

Methodology · Statistics 2025-10-14 Carlos García Meixide , David Ríos Insua

Probabilistic neural networks are typically modeled with independent weight priors, which do not capture weight correlations in the prior and do not provide a parsimonious interface to express properties in function space. A desirable class…

Machine Learning · Statistics 2020-02-12 Theofanis Karaletsos , Thang D. Bui

Neural networks (NNs) are primarily developed within the frequentist statistical framework. Nevertheless, frequentist NNs lack the capability to provide uncertainties in the predictions, and hence their robustness can not be adequately…

Computational Engineering, Finance, and Science · Computer Science 2023-10-26 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Dominique Poirel , Abhijit Sarkar

Normative and task-driven theories offer powerful top-down explanations for biological systems, yet the goals of quantitatively arbitrating between competing theories, and utilizing them as inductive biases to improve data-driven fits of…

Artificial Intelligence · Computer Science 2025-09-30 Bahti Zakirov , Gašper Tkačik

The key distinguishing property of a Bayesian approach is marginalization, rather than using a single setting of weights. Bayesian marginalization can particularly improve the accuracy and calibration of modern deep neural networks, which…

Machine Learning · Computer Science 2022-03-31 Andrew Gordon Wilson , Pavel Izmailov
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