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We propose a novel empirical Bayes robust MAP (EB-rMAP) prior to adaptively leverage external/historical data. Built on Box's prior predictive p-value, the EB-rMAP prior framework balances between model parsimony and flexibility through a…

Methodology · Statistics 2021-12-09 Hongtao Zhang , Yueqi Shen , Alan Y Chiang , Judy Li

The Bayesian formulation of inverse problems is attractive for three primary reasons: it provides a clear modelling framework; means for uncertainty quantification; and it allows for principled learning of hyperparameters. The posterior…

Statistics Theory · Mathematics 2019-05-14 Matthew M. Dunlop , Tapio Helin , Andrew M. Stuart

An open question in \emph{Imprecise Probabilistic Machine Learning} is how to empirically derive a credal region (i.e., a closed and convex family of probabilities on the output space) from the available data, without any prior knowledge or…

Machine Learning · Statistics 2025-01-29 Michele Caprio , David Stutz , Shuo Li , Arnaud Doucet

Partial Multi-label Learning (PML) aims to induce the multi-label predictor from datasets with noisy supervision, where each training instance is associated with several candidate labels but only partially valid. To address the noisy issue,…

Machine Learning · Computer Science 2020-06-23 Ximing Li , Yang Wang

Machine learning models trained on Earth observation data, such as satellite imagery, have demonstrated significant promise in predicting household-level wealth indices, enabling the creation of high-resolution wealth maps that can be…

Machine Learning · Statistics 2025-12-16 Markus B. Pettersson , Connor T. Jerzak , Adel Daoud

Anomaly detection in multivariate time series is a central challenge in industrial monitoring, as failures frequently arise from complex temporal dynamics and cross-sensor interactions. While recent deep learning models, including graph…

Machine Learning · Computer Science 2026-04-21 Pooyan Khosravinia , João Gama , Bruno Veloso

Reliable confidence is essential for trusting the outputs of LLMs, yet widely deployed post-trained LLMs (PoLLMs) typically compromise this trust with severe overconfidence. In contrast, we observe that their corresponding base LLMs often…

Computation and Language · Computer Science 2026-05-12 Hexiang Tan , Wanli Yang , Junwei Zhang , Xin Chen , Rui Tang , Du Su , Jingang Wang , Yuanzhuo Wang , Fei Sun , Xueqi Cheng

An imprecise Bayesian nonparametric approach to system reliability with multiple types of components is developed. This allows modelling partial or imperfect prior knowledge on component failure distributions in a flexible way through…

Methodology · Statistics 2016-09-19 Gero Walter , Louis J. M. Aslett , Frank P. A. Coolen

Individual agents in multi-agent (MA) systems often lack robustness, tending to blindly conform to misleading peers. We show this weakness stems from both sycophancy and inadequate ability to evaluate peer reliability. To address this, we…

Artificial Intelligence · Computer Science 2026-01-30 Ruiwen Zhou , Maojia Song , Xiaobao Wu , Sitao Cheng , Xunjian Yin , Yuxi Xie , Zhuoqun Hao , Wenyue Hua , Liangming Pan , Soujanya Poria , Min-Yen Kan

Power-expected-posterior (PEP) methodology, which borrows ideas from the literature on power priors, expected-posterior priors and unit information priors, provides a systematic way to construct objective priors. The basic idea is to use…

Methodology · Statistics 2021-12-07 Anupreet Porwal , Abel Rodriguez

Current Reinforcement Learning (RL) methods often suffer from sample-inefficiency, resulting from blind exploration strategies that neglect causal relationships among states, actions, and rewards. Although recent causal approaches aim to…

Artificial Intelligence · Computer Science 2025-02-17 Hongye Cao , Fan Feng , Tianpei Yang , Jing Huo , Yang Gao

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

Machine Learning · Statistics 2018-12-03 Andrey Malinin , Mark Gales

Attribution modelling lies at the heart of marketing effectiveness, yet most existing approaches depend on user-level path data, which are increasingly inaccessible due to privacy regulations and platform restrictions. This paper introduces…

Machine Learning · Statistics 2025-12-25 Georgios Filippou , Boi Mai Quach , Diana Lenghel , Arthur White , Ashish Kumar Jha

Prompt tuning prepends a soft prompt to the input embeddings or hidden states and only optimizes the prompt to adapt pretrained models (PTMs) to downstream tasks. The previous work manually selects prompt layers which are far from optimal…

Computation and Language · Computer Science 2023-11-01 Wei Zhu , Ming Tan

Rapid advances in perception have enabled large pre-trained models to be used out of the box for transforming high-dimensional, noisy, and partial observations of the world into rich occupancy representations. However, the reliability of…

Causal discovery (CD) is an important component of many scientific applications, yet most techniques produce unreliable point estimates that often contradict expert knowledge. To mitigate this, recent research has focused on ex-ante…

As hypothesis generation becomes increasingly automated, a new bottleneck has emerged: hypothesis assessment. Modern systems can surface thousands of statistical relationships-correlations, trends, causal links-but offer little guidance on…

Machine Learning · Computer Science 2025-06-05 Yue Gong , Raul Castro Fernandez

The combinatorial pure exploration of causal bandits is the following online learning task: given a causal graph with unknown causal inference distributions, in each round we choose a subset of variables to intervene or do no intervention,…

Machine Learning · Computer Science 2023-03-15 Nuoya Xiong , Wei Chen

Exploring causal relationships in stochastic time series is a challenging yet crucial task with a vast range of applications, including finance, economics, neuroscience, and climate science. Many algorithms for Causal Discovery (CD) have…

Machine Learning · Computer Science 2026-02-19 Matteo Tusoni , Giuseppe Masi , Andrea Coletta , Aldo Glielmo , Viviana Arrigoni , Novella Bartolini

Maximum a posteriori (MAP) estimation, like all Bayesian methods, depends on prior assumptions. These assumptions are often chosen to promote specific features in the recovered estimate. The form of the chosen prior determines the shape of…

Methodology · Statistics 2022-11-15 Zilai Si , Yucong Liu , Alexander Strang
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