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The Economic Policy Uncertainty index had gained considerable traction with both academics and policy practitioners. Here, we analyse news feed data to construct a simple, general measure of uncertainty in the United States using a highly…

Econometrics · Economics 2020-06-12 Rickard Nyman , Paul Ormerod

Extracting the interaction rules of biological agents from movement sequences pose challenges in various domains. Granger causality is a practical framework for analyzing the interactions from observed time-series data; however, this…

We develop new algorithms for estimating heterogeneous treatment effects, combining recent developments in transfer learning for neural networks with insights from the causal inference literature. By taking advantage of transfer learning,…

Information Geometric Causal Inference (IGCI) is a new approach to distinguish between cause and effect for two variables. It is based on an independence assumption between input distribution and causal mechanism that can be phrased in…

Machine Learning · Statistics 2014-02-12 Dominik Janzing , Bastian Steudel , Naji Shajarisales , Bernhard Schölkopf

Understanding the impact of data structure on the computational tractability of learning is a key challenge for the theory of neural networks. Many theoretical works do not explicitly model training data, or assume that inputs are drawn…

Machine Learning · Statistics 2022-05-23 Sebastian Goldt , Bruno Loureiro , Galen Reeves , Florent Krzakala , Marc Mézard , Lenka Zdeborová

A measure is derived to quantify directed information transfer between pairs of vertices in a weighted network, over paths of a specified maximal length. Our approach employs a general, probabilistic model of network traffic, from which the…

Disordered Systems and Neural Networks · Physics 2013-11-05 Christopher R. S. Banerji , Simone Severini , Andrew E. Teschendorff

One of the crucial steps in scientific studies is to specify dependent relationships among factors in a system of interest. Given little knowledge of a system, can we characterize the underlying dependent relationships through observation…

Information Theory · Computer Science 2012-12-24 Shohei Hidaka

Causality testing, the act of determining cause and effect from measurements, is widely used in physics, climatology, neuroscience, econometrics and other disciplines. As a result, a large number of causality testing methods based on…

Data Analysis, Statistics and Probability · Physics 2018-02-20 Aditi Kathpalia , Nithin Nagaraj

One of the basic aims in science is to unravel the chain of cause and effect of particular systems. Especially for large systems this can be a daunting task. Detailed interventional and randomized data sampling approaches can be used to…

Methodology · Statistics 2016-11-30 Seyed Mahdi Mahmoudi , Ernst Wit

An information theoretic measure is derived that quantifies the statistical coherence between systems evolving in time. The standard time delayed mutual information fails to distinguish information that is actually exchanged from shared…

Chaotic Dynamics · Physics 2009-10-31 Thomas Schreiber

Generative Bayesian Computation (GBC) methods are developed for Casual Inference. Generative methods are simulation-based methods that use a large training dataset to represent posterior distributions as a map (a.k.a. optimal transport) to…

Methodology · Statistics 2024-12-25 Maria Nareklishvili , Nicholas Polson , Vadim Sokolov

For the purpose of causal inference we employ a stochastic model of the data generating process, utilizing individual propensity probabilities for the treatment, and also individual and counterfactual prognosis probabilities for the…

Methodology · Statistics 2024-07-15 Brian Knaeble , Mehdi Hakim-Hashemi , Mark A. Abramson

The investigation of the question "which treatment has a causal effect on a target variable?" is of particular relevance in a large number of scientific disciplines. This challenging task becomes even more difficult if not all treatment…

Methodology · Statistics 2022-02-28 Sergio Hernan Garrido Mejia , Elke Kirschbaum , Dominik Janzing

Temporal point process as the stochastic process on continuous domain of time is commonly used to model the asynchronous event sequence featuring with occurrence timestamps. Thanks to the strong expressivity of deep neural networks, they…

Machine Learning · Computer Science 2024-12-25 Haitao Lin , Cheng Tan , Lirong Wu , Zhangyang Gao , Zicheng Liu , Stan. Z. Li

Measures of information transfer have become a popular approach to analyze interactions in complex systems such as the Earth or the human brain from measured time series. Recent work has focused on causal definitions of information transfer…

Methodology · Statistics 2016-03-21 Jakob Runge

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

We propose a new measure to estimate the direction of information flux in multivariate time series from complex systems. This measure, based on the slope of the phase spectrum (Phase Slope Index) has invariance properties that are important…

Similarity-sensitive entropy measures the uncertainty of a probability law relative to a similarity kernel that encodes the distinguishability between states. We develop a measure-theoretic treatment covering both finite similarity matrices…

Probability · Mathematics 2026-05-29 Joseph Samuel Miller

Emergence and causality are two fundamental concepts for understanding complex systems. They are interconnected. On one hand, emergence refers to the phenomenon where macroscopic properties cannot be solely attributed to the cause of…

Physics and Society · Physics 2024-02-27 Bing Yuan , Zhang Jiang , Aobo Lyu , Jiayun Wu , Zhipeng Wang , Mingzhe Yang , Kaiwei Liu , Muyun Mou , Peng Cui

Causal inference is a critical research topic across many domains, such as statistics, computer science, education, public policy and economics, for decades. Nowadays, estimating causal effect from observational data has become an appealing…

Methodology · Statistics 2020-02-10 Liuyi Yao , Zhixuan Chu , Sheng Li , Yaliang Li , Jing Gao , Aidong Zhang
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