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Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

机器学习 · 计算机科学 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

In this work, we propose a scalable Bayesian procedure for learning the local dependence structure in a high-dimensional model where the variables possess a natural ordering. The ordering of variables can be indexed by time, the vicinities…

统计方法学 · 统计学 2021-09-27 Kyoungjae Lee , Lizhen Lin

In Part I (arXiv:1911.00619) of this article, we proposed an importance sampling algorithm to compute rare-event probabilities in forward uncertainty quantification problems. The algorithm, which we termed the "Bayesian Inverse Monte Carlo…

统计计算 · 统计学 2019-11-06 Siddhant Wahal , George Biros

Uncertainty quantification in inverse medical imaging tasks with deep learning has received little attention. However, deep models trained on large data sets tend to hallucinate and create artifacts in the reconstructed output that are not…

图像与视频处理 · 电气工程与系统科学 2020-08-21 Max-Heinrich Laves , Malte Tölle , Tobias Ortmaier

We propose a new class of Bayesian neural networks (BNNs) that can be trained using noisy data of variable fidelity, and we apply them to learn function approximations as well as to solve inverse problems based on partial differential…

机器学习 · 计算机科学 2021-06-02 Xuhui Meng , Hessam Babaee , George Em Karniadakis

Binary Neural Networks (BiNNs), which employ single-bit precision weights, have emerged as a promising solution to reduce memory usage and power consumption while maintaining competitive performance in large-scale systems. However, training…

量子物理 · 物理学 2025-11-18 Luca Nepote , Alix Lhéritier , Nicolas Bondoux , Marios Kountouris , Maurizio Filippone

Bilevel optimization (BLO) offers a principled framework for hierarchical decision-making and has been widely applied in machine learning tasks such as hyperparameter optimization and meta-learning. While existing BLO methods are mostly…

最优化与控制 · 数学 2025-10-20 Zhuo Chen , Xinjian Xu , Shihui Ying , Tieyong Zeng

Bayesian Optimization (BO) is a popular approach to optimizing expensive-to-evaluate black-box functions. Despite the success of BO, its performance may decrease exponentially as the dimensionality increases. A common framework to tackle…

机器学习 · 计算机科学 2024-12-24 Quoc-Anh Hoang Nguyen , The Hung Tran

Bayesian inverse problems use observed data to update a prior probability distribution for an unknown state or parameter of a scientific system to a posterior distribution conditioned on the data. In many applications, the unknown parameter…

数值分析 · 数学 2026-05-12 Josie König , Elizabeth Qian , Melina A. Freitag

It is a common practice in natural language processing to pre-train a single model on a general domain and then fine-tune it for downstream tasks. However, when it comes to Large Language Models, fine-tuning the entire model can be…

人工智能 · 计算机科学 2024-10-29 Cristian Meo , Ksenia Sycheva , Anirudh Goyal , Justin Dauwels

Invariant prediction [Peters et al., 2016] analyzes feature/outcome data from multiple environments to identify invariant features - those with a stable predictive relationship to the outcome. Such features support generalization to new…

机器学习 · 统计学 2025-07-10 Luhuan Wu , Mingzhang Yin , Yixin Wang , John P. Cunningham , David M. Blei

Bayesian Optimization (BO) is a method for globally optimizing black-box functions. While BO has been successfully applied to many scenarios, developing effective BO algorithms that scale to functions with high-dimensional domains is still…

机器学习 · 计算机科学 2024-02-13 Yihang Shen , Carl Kingsford

Bilevel learning is a powerful optimization technique that has extensively been employed in recent years to bridge the world of model-driven variational approaches with data-driven methods. Upon suitable parametrization of the desired…

Breast cancer is a heterogeneous disease with different molecular subtypes, clinical behavior, treatment responses as well as survival outcomes. The development of a reliable, accurate, available and inexpensive method to predict the…

计算机视觉与模式识别 · 计算机科学 2024-12-20 Mohaddeseh Chegini , Ali Mahloojifar

Bayesian optimization is a broadly applied methodology to optimize the expensive black-box function. Despite its success, it still faces the challenge from the high-dimensional search space. To alleviate this problem, we propose a novel…

机器学习 · 计算机科学 2020-10-20 Jingfan Chen , Guanghui Zhu , Chunfeng Yuan , Yihua Huang

Uncertainty quantification is an important task in machine learning - a task in which standardneural networks (NNs) have traditionally not excelled. This can be a limitation for safety-critical applications, where uncertainty-aware methods…

机器学习 · 计算机科学 2024-01-05 Felix Fiedler , Sergio Lucia

In recent years, a variety of gradient-based methods have been developed to solve Bi-Level Optimization (BLO) problems in machine learning and computer vision areas. However, the theoretical correctness and practical effectiveness of these…

机器学习 · 计算机科学 2022-01-04 Risheng Liu , Pan Mu , Xiaoming Yuan , Shangzhi Zeng , Jin Zhang

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…

机器学习 · 计算机科学 2024-03-15 Tim Rensmeyer , Oliver Niggemann

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

机器学习 · 计算机科学 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Data-driven design shows the promise of accelerating materials discovery but is challenging due to the prohibitive cost of searching the vast design space of chemistry, structure, and synthesis methods. Bayesian Optimization (BO) employs…

机器学习 · 统计学 2023-04-12 Hengrui Zhang , Wei Wayne Chen , Akshay Iyer , Daniel W. Apley , Wei Chen