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We extend two methods of independent component analysis, fourth order blind identification and joint approximate diagonalization of eigen-matrices, to vector-valued functional data. Multivariate functional data occur naturally and…

统计理论 · 数学 2020-09-04 Joni Virta , Bing Li , Klaus Nordhausen , Hannu Oja

In this paper, we propose a new algorithm that efficiently separates a directional source and diffuse background noise based on independent low-rank matrix analysis (ILRMA). ILRMA is one of the state-of-the-art techniques of blind source…

声音 · 计算机科学 2019-06-19 Yuki Kubo , Norihiro Takamune , Daichi Kitamura , Hiroshi Saruwatari

The Langevin algorithm is a classic method for sampling from a given pdf in a real space. In its basic version, it only requires knowledge of the gradient of the log-density, also called the score function. However, in deep learning, it is…

机器学习 · 计算机科学 2025-09-22 Aapo Hyvärinen

This paper proposes the Proximal Iteratively REweighted (PIRE) algorithm for solving a general problem, which involves a large body of nonconvex sparse and structured sparse related problems. Comparing with previous iterative solvers for…

数值分析 · 计算机科学 2014-04-29 Canyi Lu , Yunchao Wei , Zhouchen Lin , Shuicheng Yan

In the paper, we develop an ensemble-based implicit sampling method for Bayesian inverse problems. For Bayesian inference, the iterative ensemble smoother (IES) and implicit sampling are integrated to obtain importance ensemble samples,…

数值分析 · 数学 2018-12-04 Yuming Ba , Lijian Jiang

The objective function of a matrix factorization model usually aims to minimize the average of a regression error contributed by each element. However, given the existence of stochastic noises, the implicit deviations of sample data from…

机器学习 · 计算机科学 2016-10-31 Guang-He Lee , Shao-Wen Yang , Shou-De Lin

Independent component analysis (ICA) is a cornerstone of modern data analysis. Its goal is to recover a latent random vector S with independent components from samples of X=AS where A is an unknown mixing matrix. Critically, all existing…

机器学习 · 统计学 2018-04-04 Nilin Abrahamsen , Philippe Rigollet

It is known that circularly symmetric Gaussian signals are the optimal input signals for the partial decode-and-forward (PDF) coding scheme in the Gaussian multiple-input multiple-output (MIMO) relay channel, but there is currently no…

信息论 · 计算机科学 2019-11-15 Christoph Hellings , Patrick Gest , Thomas Wiegart , Wolfgang Utschick

The decomposition of a sample of images on a relevant subspace is a recurrent problem in many different fields from Computer Vision to medical image analysis. We propose in this paper a new learning principle and implementation of the…

应用统计 · 统计学 2012-03-19 Stéphanie Allassonniére , Laurent Younes

We design a variational state estimation (VSE) method that provides a closed-form Gaussian posterior of an underlying complex dynamical process from (noisy) nonlinear measurements. The complex process is model-free. That is, we do not have…

信号处理 · 电气工程与系统科学 2026-01-30 Gustav Norén , Anubhab Ghosh , Fredrik Cumlin , Saikat Chatterjee

An iterative randomness extraction algorithm which generalized the Von Neumann's extraction algorithm is detailed, analyzed and implemented in standard C++. Given a sequence of independently and identically distributed biased Bernoulli…

信息论 · 计算机科学 2021-01-08 Claude Gravel

In this study, we propose a novel machine learning based algorithm to improve the performance of beyond 5 generation (B5G) wireless communication system that is assisted by Orthogonal Frequency Division Multiplexing (OFDM) and…

网络与互联网体系结构 · 计算机科学 2022-01-19 Jafar Norolahi , Paeiz Azmi

We propose a method for inferring the conditional indepen- dence graph (CIG) of a high-dimensional discrete-time Gaus- sian vector random process from finite-length observations. Our approach does not rely on a parametric model (such as,…

机器学习 · 统计学 2014-03-11 Alexander Jung , Reinhard Heckel , Helmut Bölcskei , Franz Hlawatsch

The Black Box Variational Inference (Ranganath et al. (2014)) algorithm provides a universal method for Variational Inference, but taking advantage of special properties of the approximation family or of the target can improve the…

统计计算 · 统计学 2019-06-18 Alexander Immer , Guillaume P. Dehaene

In observational studies, instrumental variable (IV) methods are commonly applied when there exists some unmeasured covariates. In Mendelian Randomization (MR), constructing an allele score by using many single nucleotide polymorphisms…

统计方法学 · 统计学 2022-08-22 Shunichiro Orihara

This study introduces an online target sound extraction (TSE) process using the similarity-and-independence-aware beamformer (SIBF) derived from an iterative batch algorithm. The study aimed to reduce latency while maintaining extraction…

音频与语音处理 · 电气工程与系统科学 2024-10-07 Atsuo Hiroe

In this work, we propose an efficient and effective approach for unconstrained salient object detection in images using deep convolutional neural networks. Instead of generating thousands of candidate bounding boxes and refining them, our…

计算机视觉与模式识别 · 计算机科学 2017-08-03 Mahyar Najibi , Fan Yang , Qiaosong Wang , Robinson Piramuthu

We study the problem of extracting a prescribed number of random bits by reading the smallest possible number of symbols from non-ideal stochastic processes. The related interval algorithm proposed by Han and Hoshi has asymptotically…

信息论 · 计算机科学 2012-09-05 Hongchao Zhou , Jehoshua Bruck

Variable selection is a procedure to attain the truly important predictors from inputs. Complex nonlinear dependencies and strong coupling pose great challenges for variable selection in high-dimensional data. In addition, real-world…

统计方法学 · 统计学 2023-07-04 Keyao Wang , Huiwen Wang , Jichang Zhao , Lihong Wang

This work explores the relationship between two data-analysis methods used in the search for continuous gravitational waves in LIGO-Virgo-KAGRA data: the $\mathcal{F}$-statistic and the 5-vector method. We show that the 5-vector method can…

广义相对论与量子宇宙学 · 物理学 2024-12-17 L. D'Onofrio , P. Astone , S. Dal Pra , S. D'Antonio , M. Di Giovanni , R. De Rosa , P. Leaci , S. Mastrogiovanni , L. Mirasola , F. Muciaccia , C. Palomba , L. Pierini
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