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We present a new scheme for extracting approximate values in ``the improved perturbation method'', which is a sort of resummation technique capable of evaluating a series outside the radius of convergence. We employ the distribution profile…

High Energy Physics - Theory · Physics 2008-11-26 T. Aoyama , Y. Shibusa

We introduce a new information maximization (infomax) approach for the blind source separation problem. The proposed framework provides an information-theoretic perspective for determinant maximization-based structured matrix factorization…

Information Theory · Computer Science 2022-05-03 Alper T. Erdogan

Independent Component Analysis (ICA) plays a central role in modern machine learning as a flexible framework for feature extraction. We introduce a horseshoe-type prior with a latent Polya-Gamma scale mixture representation, yielding…

Methodology · Statistics 2025-11-17 Jyotishka Datta , Soham Ghosh , Nicholas G. Polson

Drift-free localization is essential for autonomous vehicles. In this paper, we address the problem by proposing a filter-based framework, which integrates the visual-inertial odometry and the measurements of the features in the pre-built…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yanmei Jiao , Shoudong Huang , Yue Wang , Rong Xiong

Marginal MAP inference involves making MAP predictions in systems defined with latent variables or missing information. It is significantly more difficult than pure marginalization and MAP tasks, for which a large class of efficient and…

Machine Learning · Computer Science 2015-11-10 Wei Ping , Qiang Liu , Alexander Ihler

The core principle of Variational Inference (VI) is to convert the statistical inference problem of computing complex posterior probability densities into a tractable optimization problem. This property enables VI to be faster than several…

Machine Learning · Computer Science 2023-10-25 Ankush Ganguly , Sanjana Jain , Ukrit Watchareeruetai

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…

Statistics Theory · Mathematics 2020-09-04 Joni Virta , Bing Li , Klaus Nordhausen , Hannu Oja

Independent component analysis (ICA) is a fundamental data processing technique to decompose the captured signals into as independent as possible components. Computing the contrast function, which serves as a measure of independence of…

Quantum Physics · Physics 2023-11-22 Xiao-Fan Xu , Cheng Xue , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

The goal of this paper is to extend independent subspace analysis (ISA) to the case of (i) nonparametric, not strictly stationary source dynamics and (ii) unknown source component dimensions. We make use of functional autoregressive (fAR)…

Methodology · Statistics 2012-01-04 Zoltan Szabo

We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind source separation than with any other presently available…

Computational Physics · Physics 2007-07-16 Harald Stögbauer , Alexander Kraskov , Sergey A. Astakhov , Peter Grassberger

This article presents a Non-negative Tensor Factorization based method for sound source separation from Ambisonic microphone signals. The proposed method enables the use of prior knowledge about the Directions-of-Arrival (DOAs) of the…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-20 Mateusz Guzik , Konrad Kowalczyk

The present paper proposes an inf-sup stable divergence free virtual element method and associated a priori, and a posteriori error analysis to approximate the eigenvalues and eigenfunctions of the Stokes spectral problem in one shot. For…

Numerical Analysis · Mathematics 2022-12-06 Dibyendu Adak , Felipe Lepe , Gonzalo Rivera

Particle Image Velocimetry (PIV) is a method of im-aging and analysing fields of flows. The PIV tech-niques compute and display all the motion vectors of the field in a resulting image. Speeds more than thou-sand vectors per second can be…

Hardware Architecture · Computer Science 2008-07-24 Alain Aubert , Nathalie Bochard , Virginie Fresse

Recently, several algorithms have been proposed for independent subspace analysis where hidden variables are i.i.d. processes. We show that these methods can be extended to certain AR, MA, ARMA and ARIMA tasks. Central to our paper is that…

Statistics Theory · Mathematics 2012-01-04 Barnabas Poczos , Zoltan Szabo , Melinda Kiszlinger , Andras Lorincz

High-definition (HD) map serves as the essential infrastructure of autonomous driving. In this work, we build up a systematic vectorized map annotation framework (termed VMA) for efficiently generating HD map of large-scale driving scene.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Shaoyu Chen , Yunchi Zhang , Bencheng Liao , Jiafeng Xie , Tianheng Cheng , Wei Sui , Qian Zhang , Chang Huang , Wenyu Liu , Xinggang Wang

We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Alexander Shekhovtsov , Paul Swoboda , Bogdan Savchynskyy

Computing the conditional mode of a distribution, better known as the $\mathit{maximum\ a\ posteriori}$ (MAP) assignment, is a fundamental task in probabilistic inference. However, MAP estimation is generally intractable, and remains hard…

Machine Learning · Computer Science 2026-01-23 Matthew Shorvon , Frederik Mallmann-Trenn , David S. Watson

We propose a data-driven algorithm for the maximum a posteriori (MAP) estimation of stochastic processes from noisy observations. The primary statistical properties of the sought signal is specified by the penalty function (i.e., negative…

Machine Learning · Computer Science 2018-02-14 Ha Q. Nguyen , Emrah Bostan , Michael Unser

We develop a new neural network based independent component analysis (ICA) method by directly minimizing the dependence amongst all extracted components. Using the matrix-based R{\'e}nyi's $\alpha$-order entropy functional, our network can…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Hongming Li , Shujian Yu , Jose C. Principe

Sum-product networks (SPNs) are a class of probabilistic graphical models that allow tractable marginal inference. However, the maximum a posteriori (MAP) inference in SPNs is NP-hard. We investigate MAP inference in SPNs from both…

Artificial Intelligence · Computer Science 2017-11-21 Jun Mei , Yong Jiang , Kewei Tu