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Resampling techniques are widely used in statistical inference and ensemble learning, in which estimators' statistical properties are essential. However, existing methods are computationally demanding, because repetitions of…

Machine Learning · Statistics 2019-05-24 Takashi Takahashi , Yoshiyuki Kabashima

High-dimensional signal recovery of standard linear regression is a key challenge in many engineering fields, such as, communications, compressed sensing, and image processing. The approximate message passing (AMP) algorithm proposed by…

Information Theory · Computer Science 2022-03-02 Qiuyun Zou , Hongwen Yang

Approximate Message Passing (AMP) is a class of iterative algorithms that have found applications in many problems in high-dimensional statistics and machine learning. In its general form, AMP can be formulated as an iterative procedure…

Probability · Mathematics 2023-05-02 Rishabh Dudeja , Yue M. Lu , Subhabrata Sen

We consider the problem of signal estimation in generalized linear models defined via rotationally invariant design matrices. Since these matrices can have an arbitrary spectral distribution, this model is well suited for capturing complex…

Machine Learning · Statistics 2022-06-10 Ramji Venkataramanan , Kevin Kögler , Marco Mondelli

Vector approximate message passing (VAMP) is an efficient approximate inference algorithm used for generalized linear models. Although VAMP exhibits excellent performance, particularly when measurement matrices are sampled from rotationally…

Information Theory · Computer Science 2025-08-05 Takashi Takahashi , Yoshiyuki Kabashima

Detecting multiple structural breaks in high-dimensional data remains a challenge, particularly when changes occur in higher-order moments or within complex manifold structures. In this paper, we propose REAMP (Resonance-Enhanced Analysis…

Methodology · Statistics 2026-01-14 Xiaoping Shi , Baisuo Jin , Xianhui Liu , Qiong Li

Cloud Radio Access Network (C-RAN) is a promising architecture for unprecedented capacity enhancement in next-generation wireless networks thanks to the centralization and virtualization of base station processing. However, centralized…

Information Theory · Computer Science 2017-05-29 Congmin Fan , Xiaojun Yuan , Ying Jun Zhang

Retrieval-augmented generation (RAG) has been extensively employed to mitigate hallucinations in large language models (LLMs). However, existing methods for multi-hop reasoning tasks often lack global planning, increasing the risk of…

Computation and Language · Computer Science 2025-11-14 Yijie Zhu , Haojie Zhou , Wanting Hong , Tailin Liu , Ning Wang

Approximate message passing (AMP) emerges as an effective iterative paradigm for solving high-dimensional statistical problems. However, prior AMP theory -- which focused mostly on high-dimensional asymptotics -- fell short of predicting…

Statistics Theory · Mathematics 2023-03-20 Gen Li , Yuting Wei

Understanding efficiency in high dimensional linear models is a longstanding problem of interest. Classical work with smaller dimensional problems dating back to Huber and Bickel has illustrated the benefits of efficient loss functions.…

Statistics Theory · Mathematics 2017-08-16 Jelena Bradic

Message-passing (MP) is a powerful tool for finding an approximate solution in optimization. We generalize it to nonlinear product-sum form, and numerically show the fast convergence for the minimum feedback vertex set and the minimum…

Physics and Society · Physics 2024-04-03 Yukio Hayashi

Generalized approximate message passing (GAMP) is a promising technique for unknown signal reconstruction of generalized linear models (GLM). However, it requires that the transformation matrix has independent and identically distributed…

Information Theory · Computer Science 2021-10-18 Feiyan Tian , Lei Liu , Xiaoming Chen

Message passing on factor graphs is a powerful framework for probabilistic inference, which finds important applications in various scientific domains. The most wide-spread message passing scheme is the sum-product algorithm (SPA) which…

Machine Learning · Computer Science 2023-06-06 Luca Schmid , Joshua Brenk , Laurent Schmalen

Explainable recommendations help improve the transparency and credibility of recommendation systems, and play an important role in personalized recommendation scenarios. At present, methods for explainable recommendation based on large…

Information Retrieval · Computer Science 2026-04-07 Xiangchen Pan , Wei Wei

Weighted model integration (WMI) is a very appealing framework for probabilistic inference: it allows to express the complex dependencies of real-world problems where variables are both continuous and discrete, via the language of…

Artificial Intelligence · Computer Science 2020-08-21 Zhe Zeng , Paolo Morettin , Fanqi Yan , Antonio Vergari , Guy Van den Broeck

This paper proposes Graph Signal Adaptive Message Passing (GSAMP), a novel message passing method that simultaneously conducts online prediction, missing data imputation, and noise removal on time-varying graph signals. Unlike conventional…

Signal Processing · Electrical Eng. & Systems 2024-11-26 Yi Yan , Changran Peng , Ercan Engin Kuruoglu

Message-passing algorithms have been adapted for compressive imaging by incorporating various off-the-shelf image denoisers. However, these denoisers rely largely on generic or hand-crafted priors and often fall short in accurately…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Chang Cai , Hao Jiang , Xiaojun Yuan , Ying-Jun Angela Zhang

Multi-label classification (MLC) is the task of assigning a set of target labels for a given sample. Modeling the combinatorial label interactions in MLC has been a long-haul challenge. We propose Label Message Passing (LaMP) Neural…

Machine Learning · Computer Science 2019-04-18 Jack Lanchantin , Arshdeep Sekhon , Yanjun Qi

Autonomous agents powered by large language models (LLMs) have shown impressive capabilities in tool manipulation for complex task-solving. However, existing paradigms such as ReAct rely on sequential reasoning and execution, failing to…

Artificial Intelligence · Computer Science 2025-10-30 Jiaqi Wu , Qinlao Zhao , Zefeng Chen , Kai Qin , Yifei Zhao , Xueqian Wang , Yuhang Yao

Complex Query Answering (CQA) over Knowledge Graphs (KGs) is a challenging task. Given that KGs are usually incomplete, neural models are proposed to solve CQA by performing multi-hop logical reasoning. However, most of them cannot perform…

Machine Learning · Computer Science 2024-08-13 Chongzhi Zhang , Zhiping Peng , Junhao Zheng , Qianli Ma