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When evaluating causal influence from one time series to another in a multivariate dataset it is necessary to take into account the conditioning effect of the other variables. In the presence of many variables, and possibly of a reduced…

Data Analysis, Statistics and Probability · Physics 2012-03-26 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

Effective motion representation is crucial for enabling robots to imitate expressive behaviors in real time, yet existing motion controllers often ignore inherent patterns in motion. Previous efforts in representation learning do not…

Robotics · Computer Science 2025-12-09 Matthias Heyrman , Chenhao Li , Victor Klemm , Dongho Kang , Stelian Coros , Marco Hutter

The covariance matrix is a foundation in numerous statistical and machine-learning applications such as Principle Component Analysis, Correlation Heatmap, etc. However, missing values within datasets present a formidable obstacle to…

Machine Learning · Statistics 2025-01-22 Tuan L. Vo , Quan Huu Do , Uyen Dang , Thu Nguyen , Pål Halvorsen , Michael A. Riegler , Binh T. Nguyen

Non-linear mixed effects modeling and simulation (NLME M&S) is evaluated to be used for standardization with longitudinal data in presence of confounders. Standardization is a well-known method in causal inference to correct for confounding…

The inference of an underlying network topology from local observations of a complex system composed of interacting units is usually attempted by using statistical similarity measures, such as Cross-Correlation (CC) and Mutual Information…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Nicolás Rubido , Arturo C. Martí , Ezequiel Bianco-Martínez , Celso Grebogi , Murilo S. Baptista , Cristina Masoller

Multimodal structures in the sampling density (e.g. two competing phases) can be a serious problem for traditional Markov Chain Monte Carlo (MCMC), because correct sampling of the different structures can only be guaranteed for infinite…

Data Analysis, Statistics and Probability · Physics 2009-11-11 M. Daghofer , M. Konegger , H. G. Evertz , W. von der Linden

Skepticism about the assumption of no unmeasured confounding, also known as exchangeability, is often warranted in making causal inferences from observational data; because exchangeability hinges on an investigator's ability to accurately…

Methodology · Statistics 2023-02-22 Yifan Cui , Hongming Pu , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

An important feature of kernel mean embeddings (KME) is that the rate of convergence of the empirical KME to the true distribution KME can be bounded independently of the dimension of the space, properties of the distribution and smoothness…

Statistics Theory · Mathematics 2025-04-17 Geoffrey Wolfer , Pierre Alquier

Multivariate time series forecasting relies on accurately capturing the correlations among variates. Current channel-independent (CI) models and models with a CI final projection layer are unable to capture these dependencies. In this…

Machine Learning · Computer Science 2024-11-01 Shangjiong Wang , Zhihong Man , Zhenwei Cao , Jinchuan Zheng , Zhikang Ge

Critical quantum metrology exploits the hypersensitivity of quantum systems near phase transitions to achieve enhanced precision in parameter estimation. While single-parameter estimation near critical points is well established, the…

Quantum Physics · Physics 2026-04-08 Luca Previdi , Yilun Xu , Qiongyi He , Matteo G. A. Paris

This paper presents an information-theoretic approach to address the phasor measurement unit (PMU) placement problem in electric power systems. Different from the conventional 'topological observability' based approaches, this paper…

Optimization and Control · Mathematics 2012-01-16 Qiao Li , Tao Cui , Yang Weng , Rohit Negi , Franz Franchetti , Marija D. Ilic

A non-parametric complementary ensemble empirical mode decomposition (NPCEEMD) is proposed for identifying bearing defects using weak features. NPCEEMD is non-parametric because, unlike existing decomposition methods such as ensemble…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Anil Kumar , Yaakoub Berrouche , Radosław Zimroz , Govind Vashishtha , Sumika Chauhan , C. P. Gandhi , Hesheng Tang , Jiawei Xiang

This paper asks whether integrating multimodal EEG and fMRI data offers a better characterisation of functional brain architectures than either modality alone. This evaluation rests upon a dynamic causal model that generates both EEG and…

Quantitative Methods · Quantitative Biology 2019-06-19 Huilin Wei , Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Adeel Razi , Dewen Hu , Karl J. Friston

Quantifying the directionality of information flow is instrumental in understanding, and possibly controlling, the operation of many complex systems, such as transportation, social, neural, or gene-regulatory networks. The standard Transfer…

Information Theory · Computer Science 2020-01-09 Jingjing Zhang , Osvaldo Simeone , Zoran Cvetkovic , Eugenio Abela , Mark Richardson

The problem of nonlinear functional of parameters, such as differential entropy, has received much attention in information theory and statistics. In many situations, prior information about the parameters is available in the form of order…

Statistics Theory · Mathematics 2026-03-10 Somnath Mandal , Lakshmi Kanta Patra

Studying the flow of information between different areas of the brain can be performed by using the so-called Partial Directed Coherence. This measure is usually evaluated by first identifying a multivariate autoregressive model, and then…

Neurons and Cognition · Quantitative Biology 2013-11-26 Pierre-Olivier Amblard

Mixture proportion estimation (MPE) is the problem of estimating the weight of a component distribution in a mixture, given samples from the mixture and component. This problem constitutes a key part in many "weakly supervised learning"…

Machine Learning · Computer Science 2016-06-01 Harish G. Ramaswamy , Clayton Scott , Ambuj Tewari

While the linear Pearson correlation coefficient represents a well-established normalized measure to quantify the interrelation of two stochastic variables $X$ and $Y$, it fails for multidimensional variables such as Cartesian coordinates.…

Data Analysis, Statistics and Probability · Physics 2024-09-19 Daniel Nagel , Georg Diez , Gerhard Stock

Indirect comparisons have been increasingly used to compare data from different sources such as clinical trials and observational data in, e.g., a disease registry. To adjust for population differences between data sources,…

Methodology · Statistics 2021-07-27 Jixian Wang

Deep learning based physical layer design, i.e., using dense neural networks as encoders and decoders, has received considerable interest recently. However, while such an approach is naturally training data-driven, actions of the wireless…

Information Theory · Computer Science 2020-06-30 Rick Fritschek , Rafael F. Schaefer , Gerhard Wunder