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We introduce a novel Information Criterion (IC), termed Learning under Singularity (LS), designed to enhance the functionality of the Widely Applicable Bayes Information Criterion (WBIC) and the Singular Bayesian Information Criterion…

机器学习 · 统计学 2024-02-23 Lirui Liu , Joe Suzuki

Despite the highest classification accuracy in wide varieties of application areas, artificial neural network has one disadvantage. The way this Network comes to a decision is not easily comprehensible. The lack of explanation ability…

计算机视觉与模式识别 · 计算机科学 2016-10-18 Tameru Hailesilassie

Neural networks with binary weights are computation-efficient and hardware-friendly, but their training is challenging because it involves a discrete optimization problem. Surprisingly, ignoring the discrete nature of the problem and using…

机器学习 · 计算机科学 2020-08-19 Xiangming Meng , Roman Bachmann , Mohammad Emtiyaz Khan

A popular model selection approach for generalized linear mixed-effects models is the Akaike information criterion, or AIC. Among others, \cite{vaida05} pointed out the distinction between the marginal and conditional inference depending on…

统计方法学 · 统计学 2008-10-14 Heng Lian

Uncertainty estimation in Neural Networks (NNs) is vital in improving reliability and confidence in predictions, particularly in safety-critical applications. Bayesian Neural Networks (BayNNs) with Dropout as an approximation offer a…

In data-driven optimization, the sample performance of the obtained decision typically incurs an optimistic bias against the true performance, a phenomenon commonly known as the Optimizer's Curse and intimately related to overfitting in…

机器学习 · 计算机科学 2025-07-22 Garud Iyengar , Henry Lam , Tianyu Wang

Spiking Neural Networks (SNN). SNNs are based on a more biologically inspired approach than usual artificial neural networks. Such models are characterized by complex dynamics between neurons and spikes. These are very sensitive to the…

神经与进化计算 · 计算机科学 2024-09-06 Thomas Firmin , Pierre Boulet , El-Ghazali Talbi

Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabilities, they regularly outperform state-of-the-art…

动力系统 · 数学 2023-12-27 Alessandro Corbetta , Thomas Geert de Jong

Variable selection is essential for improving inference and interpretation in multivariate linear regression. Although a number of alternative regressor selection criteria have been suggested, the most prominent and widely used are the…

统计理论 · 数学 2020-01-07 Zhidong Bai , Yasunori Fujikoshi , Jiang Hu

Deep neural networks exhibit a simplicity bias, a well-documented tendency to favor simple functions over complex ones. In this work, we cast new light on this phenomenon through the lens of the Minimum Description Length principle,…

Bayesian neural networks (BNNs) offer a natural probabilistic formulation for inference in deep learning models. Despite their popularity, their optimality has received limited attention through the lens of statistical decision theory. In…

统计理论 · 数学 2026-04-07 Daniel Andrew Coulson , Martin T. Wells

Modeling of strong gravitational lenses is a necessity for further applications in astrophysics and cosmology. Especially with the large number of detections in current and upcoming surveys such as the Rubin Legacy Survey of Space and Time…

天体物理仪器与方法 · 物理学 2023-03-30 S. Schuldt , R. Cañameras , Y. Shu , S. H. Suyu , S. Taubenberger , T. Meinhardt , L. Leal-Taixé

In this paper we study the problem of learning a shallow artificial neural network that best fits a training data set. We study this problem in the over-parameterized regime where the number of observations are fewer than the number of…

机器学习 · 计算机科学 2022-08-25 Mahdi Soltanolkotabi , Adel Javanmard , Jason D. Lee

Deep Neural Networks have been successfully applied in hyperspectral image classification. However, most of prior works adopt general deep architectures while ignore the intrinsic structure of the hyperspectral image, such as the physical…

计算机视觉与模式识别 · 计算机科学 2023-01-04 Zhiqiang Gong , Ping Zhong , Jiahao Qi , Panhe Hu

We propose a novel technique for sampling particle physics model parameter space. The main sampling method applied is Nested Sampling (NS), which is boosted by the application of multiple Machine Learning (ML) networks, e.g.,…

高能物理 - 唯象学 · 物理学 2025-02-07 Rajneil Baruah , Subhadeep Mondal , Sunando Kumar Patra , Satyajit Roy

Supervised learning from training data with imbalanced class sizes, a commonly encountered scenario in real applications such as anomaly/fraud detection, has long been considered a significant challenge in machine learning. Motivated by…

机器学习 · 计算机科学 2019-05-27 Yunru Liu , Tingran Gao , Haizhao Yang

Learning from unlabeled and noisy data is one of the grand challenges of machine learning. As such, it has seen a flurry of research with new ideas proposed continuously. In this work, we revisit a classical idea: Stein's Unbiased Risk…

机器学习 · 统计学 2020-07-24 Christopher A. Metzler , Ali Mousavi , Reinhard Heckel , Richard G. Baraniuk

Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

机器学习 · 计算机科学 2019-08-12 Jonathan Heek , Nal Kalchbrenner

With the continued innovations of deep neural networks, spiking neural networks (SNNs) that more closely resemble biological brain synapses have attracted attention owing to their low power consumption.However, for continuous data values,…

神经与进化计算 · 计算机科学 2021-03-02 Naoya Muramatsu , Hai-Tao Yu

Contrastive self-supervised learning (CSL) with a prototypical regularization has been introduced in learning meaningful representations for downstream tasks that require strong semantic information. However, to optimize CSL with a loss…

计算机视觉与模式识别 · 计算机科学 2022-10-20 Shentong Mo , Zhun Sun , Chao Li
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