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Modern neural networks can achieve high accuracy while remaining poorly calibrated, producing confidence estimates that do not match empirical correctness. Yet calibration is often treated as a post-hoc attribute. We take a different…

机器学习 · 计算机科学 2026-04-23 Alessandro Morosini , Matea Gjika , Tomaso Poggio , Pierfrancesco Beneventano

Quantifying uncertainty in neural networks is a highly relevant problem which is essential to many applications. The two predominant paradigms to tackle this task are Bayesian neural networks (BNNs) and deep ensembles. Despite some…

机器学习 · 计算机科学 2025-01-31 Gabriel Loaiza-Ganem , Valentin Villecroze , Yixin Wang

We discover a theoretical connection between explanation estimation and distribution compression that significantly improves the approximation of feature attributions, importance, and effects. While the exact computation of various machine…

机器学习 · 计算机科学 2025-01-24 Hubert Baniecki , Giuseppe Casalicchio , Bernd Bischl , Przemyslaw Biecek

Although Bayesian inference is an immensely popular paradigm among a large segment of scientists including statisticians, most applications consider objective priors and need critical investigations (Efron, 2013, Science). While it has…

统计理论 · 数学 2020-09-11 Abhik Ghosh , Tuhin Majumder , Ayanendranath Basu

Bayesian optimization (BO) iteratively fits a Gaussian process (GP) surrogate to accumulated evaluations and selects new queries via an acquisition function such as expected improvement (EI). In practice, BO often concentrates evaluations…

统计方法学 · 统计学 2026-01-13 Jiguang Li , Hengrui Luo

The Bayesian method is noted to produce spuriously high posterior probabilities for phylogenetic trees in analysis of large datasets, but the precise reasons for this over-confidence are unknown. In general, the performance of Bayesian…

统计理论 · 数学 2018-10-15 Ziheng Yang , Tianqi Zhu

Deep neural network pruning and quantization techniques have demonstrated it is possible to achieve high levels of compression with surprisingly little degradation to test set accuracy. However, this measure of performance conceals…

机器学习 · 计算机科学 2021-09-07 Sara Hooker , Aaron Courville , Gregory Clark , Yann Dauphin , Andrea Frome

Using deep latent variable models in causal inference has attracted considerable interest recently, but an essential open question is their ability to yield consistent causal estimates. While they have demonstrated promising results and…

机器学习 · 计算机科学 2022-01-25 Severi Rissanen , Pekka Marttinen

Optimal decision making requires that classifiers produce uncertainty estimates consistent with their empirical accuracy. However, deep neural networks are often under- or over-confident in their predictions. Consequently, methods have been…

Enhancing visual qualities of images plays very important roles in various vision and learning applications. In the past few years, both knowledge-driven maximum a posterior (MAP) with prior modelings and fully data-dependent convolutional…

计算机视觉与模式识别 · 计算机科学 2018-12-26 Risheng Liu , Long Ma , Yiyang Wang , Lei Zhang

While significant progress has been made in specifying neural networks capable of representing uncertainty, deep networks still often suffer from overconfidence and misaligned predictive distributions. Existing approaches for measuring this…

机器学习 · 计算机科学 2025-10-24 Spencer Young , Riley Sinema , Cole Edgren , Andrew Hall , Nathan Dong , Porter Jenkins

Modern machine learning applications should be able to address the intrinsic challenges arising over inference on massive real-world datasets, including scalability and robustness to outliers. Despite the multiple benefits of Bayesian…

机器学习 · 计算机科学 2020-11-10 Dionysis Manousakas , Cecilia Mascolo

Due to their uncertainty quantification, Bayesian solutions to inverse problems are the framework of choice in applications that are risk averse. These benefits come at the cost of computations that are in general, intractable. New advances…

机器学习 · 计算机科学 2024-05-10 Rafael Orozco , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

Class imbalance induces systematic bias in deep neural networks by imposing a skewed effective class prior. This work introduces the Neural Prior Estimator (NPE), a framework that learns feature-conditioned log-prior estimates from latent…

机器学习 · 计算机科学 2026-02-23 Masoud Yavari , Payman Moallem

Posterior tempering reduces the influence of the likelihood in the calculation of the posterior by raising the likelihood to a fractional power $\alpha$. The resulting power posterior - also known as an $\alpha$-posterior or fractional…

统计理论 · 数学 2026-01-15 Ruchira Ray , Marco Avella Medina , Cynthia Rush

Much is now known about the consistency of Bayesian updating on infinite-dimensional parameter spaces with independent or Markovian data. Necessary conditions for consistency include the prior putting enough weight on the correct…

统计理论 · 数学 2022-03-18 Cosma Rohilla Shalizi

Counterfactual explanations (CFE) for deep image classifiers aim to reveal how minimal input changes lead to different model decisions, providing critical insights for model interpretation and improvement. However, existing CFE methods…

计算机视觉与模式识别 · 计算机科学 2025-09-23 Townim Faisal Chowdhury , Vu Minh Hieu Phan , Kewen Liao , Nanyu Dong , Minh-Son To , Anton Hengel , Johan Verjans , Zhibin Liao

Isotropic Gaussian priors are the de facto standard for modern Bayesian neural network inference. However, it is unclear whether these priors accurately reflect our true beliefs about the weight distributions or give optimal performance. To…

Although theoretically compelling, Bayesian learning with modern machine learning models is computationally challenging since it requires approximating a high dimensional posterior distribution. In this work, we (i) introduce posteriors, an…

机器学习 · 计算机科学 2025-04-15 Samuel Duffield , Kaelan Donatella , Johnathan Chiu , Phoebe Klett , Daniel Simpson

Deep Ensemble (DE) is an effective alternative to Bayesian neural networks for uncertainty quantification in deep learning. The uncertainty of DE is usually conveyed by the functional inconsistency among the ensemble members, say, the…

机器学习 · 计算机科学 2022-05-03 Zhijie Deng , Feng Zhou , Jianfei Chen , Guoqiang Wu , Jun Zhu