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Generalization is essential for deep learning. In contrast to previous works claiming that Deep Neural Networks (DNNs) have an implicit regularization implemented by the stochastic gradient descent, we demonstrate explicitly Bayesian…

机器学习 · 计算机科学 2019-10-23 Xinjie Lan , Kenneth E. Barner

With recent advancements in the development of artificial intelligence applications using theories and algorithms in machine learning, many accurate models can be created to train and predict on given datasets. With the realization of the…

机器学习 · 计算机科学 2024-03-29 Pei Xi , Lin

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

计算机视觉与模式识别 · 计算机科学 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

Understanding and interpreting how machine learning (ML) models make decisions have been a big challenge. While recent research has proposed various technical approaches to provide some clues as to how an ML model makes individual…

机器学习 · 计算机科学 2018-11-09 Wenbo Guo , Sui Huang , Yunzhe Tao , Xinyu Xing , Lin Lin

Neural Ordinary Differential Equations (N-ODEs) are a powerful building block for learning systems, which extend residual networks to a continuous-time dynamical system. We propose a Bayesian version of N-ODEs that enables well-calibrated…

机器学习 · 计算机科学 2020-02-19 Andreas Look , Melih Kandemir

Bayesian neural networks (BNNs) have been long considered an ideal, yet unscalable solution for improving the robustness and the predictive uncertainty of deep neural networks. While they could capture more accurately the posterior…

计算机视觉与模式识别 · 计算机科学 2021-03-26 Gianni Franchi , Andrei Bursuc , Emanuel Aldea , Severine Dubuisson , Isabelle Bloch

Learning Bayesian networks from raw data can help provide insights into the relationships between variables. While real data often contains a mixture of discrete and continuous-valued variables, many Bayesian network structure learning…

人工智能 · 计算机科学 2018-09-19 Yi-Chun Chen , Tim Allan Wheeler , Mykel John Kochenderfer

This study examines the application of Bayesian approach in the context of clinical trials, emphasizing their increasing importance in contemporary biomedical research. While conventional frequentist approach provides a foundational basis…

统计方法学 · 统计学 2026-01-16 Paramahansa Pramanik , Arnab Kumar Maity , Anjan Mandal , Haley Kate Robinson

Bayesian optimization is an effective methodology for the global optimization of functions with expensive evaluations. It relies on querying a distribution over functions defined by a relatively cheap surrogate model. An accurate model for…

Neural networks (NN) have achieved state-of-the-art performance in various applications. Unfortunately in applications where training data is insufficient, they are often prone to overfitting. One effective way to alleviate this problem is…

机器学习 · 计算机科学 2016-11-03 Hao Wang , Xingjian Shi , Dit-Yan Yeung

Combining Bayesian nonparametrics and a forward model selection strategy, we construct parsimonious Bayesian deep networks (PBDNs) that infer capacity-regularized network architectures from the data and require neither cross-validation nor…

机器学习 · 统计学 2019-01-03 Mingyuan Zhou

Continual learning entails learning a sequence of tasks and balancing their knowledge appropriately. With limited access to old training samples, much of the current work in deep neural networks has focused on overcoming catastrophic…

机器学习 · 计算机科学 2023-10-16 Yilin Lyu , Liyuan Wang , Xingxing Zhang , Zicheng Sun , Hang Su , Jun Zhu , Liping Jing

We present a new method to approximate posterior probabilities of Bayesian Network using Deep Neural Network. Experiment results on several public Bayesian Network datasets shows that Deep Neural Network is capable of learning joint…

机器学习 · 计算机科学 2018-01-12 Jie Jia , Honggang Zhou , Yunchun Li

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

机器学习 · 统计学 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

Multilevel models (MLMs) are a central building block of the Bayesian workflow. They enable joint, interpretable modeling of data across hierarchical levels and provide a fully probabilistic quantification of uncertainty. Despite their…

Compared to point estimates calculated by standard neural networks, Bayesian neural networks (BNN) provide probability distributions over the output predictions and model parameters, i.e., the weights. Training the weight distribution of a…

机器学习 · 计算机科学 2022-12-01 Philipp Wagner , Xinyang Wu , Marco F. Huber

We report a scalable hybrid quantum-classical machine learning framework to build Bayesian networks (BN) that captures the conditional dependence and causal relationships of random variables. The generation of a BN consists of finding a…

机器学习 · 计算机科学 2019-01-31 Radhakrishnan Balu , Ajinkya Borle

Bayesian optimization is popular for optimizing time-consuming black-box objectives. Nonetheless, for hyperparameter tuning in deep neural networks, the time required to evaluate the validation error for even a few hyperparameter settings…

机器学习 · 计算机科学 2019-03-13 Jian Wu , Saul Toscano-Palmerin , Peter I. Frazier , Andrew Gordon Wilson

Probabilistic predictions from neural networks which account for predictive uncertainty during classification is crucial in many real-world and high-impact decision making settings. However, in practice most datasets are trained on…

机器学习 · 计算机科学 2022-09-30 Satya Borgohain , Klaus Ackermann , Ruben Loaiza-Maya

Modern deep learning tools are remarkably effective in addressing intricate problems. However, their operation as black-box models introduces increased uncertainty in predictions. Additionally, they contend with various challenges,…

机器学习 · 计算机科学 2024-04-09 Sourav Ganguly , Saprativa Bhattacharjee