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The online prediction of multivariate signals, existing simultaneously in space and time, from noisy partial observations is a fundamental task in numerous applications. We propose an efficient Neural Network architecture for the online…

Machine Learning · Computer Science 2024-01-30 Yi Yan , Changran Peng , Ercan Engin Kuruoglu

Traditional source separation approaches train deep neural network models end-to-end with all the data available at once by minimizing the empirical risk on the whole training set. On the inference side, after training the model, the user…

As the sensitivity and observing time of gravitational-wave detectors increase, a more diverse range of signals is expected to be observed from a variety of sources. Especially, long-lived gravitational-wave transients have received…

Instrumentation and Methods for Astrophysics · Physics 2021-11-24 Adrian Macquet , Marie-Anne Bizouard , Nelson Christensen , Michael Coughlin

Graph Neural Networks (GNNs) have achieved remarkable success in learning node representations and have shown strong performance in tasks such as node classification. However, recent findings indicate that the presence of noise in…

Machine Learning · Computer Science 2025-07-01 Yancheng Wang , Yingzhen Yang

The advent of large-scale pre-trained language models has contributed greatly to the recent progress in natural language processing. Many state-of-the-art language models are first trained on a large text corpus and then fine-tuned on…

Computation and Language · Computer Science 2023-11-13 Hang Hua , Xingjian Li , Dejing Dou , Cheng-Zhong Xu , Jiebo Luo

Traditionally, community detection in graphs can be solved using spectral methods or posterior inference under probabilistic graphical models. Focusing on random graph families such as the stochastic block model, recent research has unified…

Machine Learning · Statistics 2020-08-11 Zhengdao Chen , Xiang Li , Joan Bruna

This paper presents a performance analysis framework for linear detection in fast-fading channels with possibly correlated channel and noise. The framework is both accurate and adaptable, making it well-suited for analyzing a wide range of…

Signal Processing · Electrical Eng. & Systems 2025-07-09 Almutasem Bellah Enad , Jihad Fahs , Hadi Sarieddeen , Hakim Jemaa , Tareq Y. Al-Naffouri

This paper is devoted to the performance analysis of the detectors proposed in the companion paper where a comprehensive design framework is presented for the adaptive detection of subspace signals. The framework addresses four variations…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Pia Addabbo , Danilo Orlando , Giuseppe Ricci , Louis L. Scharf

We investigate the class of quadratic detectors (i.e., the statistic is a bilinear function of the data) for the detection of poorly modeled gravitational transients of short duration. We point out that all such detection methods are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 E. Chassande-Mottin

Extracting informative representations of molecules using Graph neural networks (GNNs) is crucial in AI-driven drug discovery. Recently, the graph research community has been trying to replicate the success of self-supervised pretraining in…

Machine Learning · Computer Science 2022-11-03 Ruoxi Sun , Hanjun Dai , Adams Wei Yu

This paper investigates the statistical properties of non-linear transformations (NLT) of random variables, in order to establish useful tools for estimation and information theory. Specifically, the paper focuses on linear regression…

Information Theory · Computer Science 2013-05-13 Paolo Banelli

Graph Neural Networks (GNNs) exhibit strong potential in node classification task through a message-passing mechanism. However, their performance often hinges on high-quality node labels, which are challenging to obtain in real-world…

Machine Learning · Computer Science 2024-06-10 Zhonghao Wang , Danyu Sun , Sheng Zhou , Haobo Wang , Jiapei Fan , Longtao Huang , Jiajun Bu

We propose a framework using contrastive learning as a pre-training task to perform image classification in the presence of noisy labels. Recent strategies such as pseudo-labeling, sample selection with Gaussian Mixture models, weighted…

Computer Vision and Pattern Recognition · Computer Science 2021-04-21 Madalina Ciortan , Romain Dupuis , Thomas Peel

Unsupervised mixture learning (UML) aims at identifying linearly or nonlinearly mixed latent components in a blind manner. UML is known to be challenging: Even learning linear mixtures requires highly nontrivial analytical tools, e.g.,…

Machine Learning · Computer Science 2022-10-17 Qi Lyu , Xiao Fu

We propose a method for adaptive nonlinear sequential modeling of vector-time series data. Data is modeled as a nonlinear function of past values corrupted by noise, and the underlying non-linear function is assumed to be approximately…

Methodology · Statistics 2017-10-11 Qiuyi Han , Jie Ding , Edoardo Airoldi , Vahid Tarokh

We investigate the behavior of the Generalized Likelihood Ratio Test (GLRT) (Fan, Zhang and Zhang [Ann. Statist. 29 (2001) 153-193]) for time varying coefficient models where the regressors and errors are non-stationary time series and can…

Statistics Theory · Mathematics 2014-02-05 Zhou Zhou

The mathematical formula is the human language to describe nature and is the essence of scientific research. Finding mathematical formulas from observational data is a major demand of scientific research and a major challenge of artificial…

Machine Learning · Computer Science 2024-04-10 Yanjie Li , Weijun Li , Lina Yu , Min Wu , Jingyi Liu , Wenqiang Li , Meilan Hao , Shu Wei , Yusong Deng

The proliferation of high-quality text from Large Language Models (LLMs) demands reliable and efficient detection methods. While existing training-free approaches show promise, they often rely on surface-level statistics and overlook…

Computation and Language · Computer Science 2026-01-13 Haitong Luo , Weiyao Zhang , Suhang Wang , Wenji Zou , Chungang Lin , Xuying Meng , Yujun Zhang

Using more test-time computation during language model inference, such as generating more intermediate thoughts or sampling multiple candidate answers, has proven effective in significantly improving model performance. This paper takes an…

Machine Learning · Computer Science 2025-08-20 Xingwu Chen , Miao Lu , Beining Wu , Difan Zou

Large linear systems are ubiquitous in modern computational science and engineering. The main recipe for solving them is the use of Krylov subspace iterative methods with well-designed preconditioners. Recently, GNNs have been shown to be a…

Machine Learning · Computer Science 2025-02-04 Vladislav Trifonov , Alexander Rudikov , Oleg Iliev , Yuri M. Laevsky , Ivan Oseledets , Ekaterina Muravleva