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Most nervous systems encode information about stimuli in the responding activity of large neuronal networks. This activity often manifests itself as dynamically coordinated sequences of action potentials. Since multiple electrode recordings…

Neurons and Cognition · Quantitative Biology 2011-11-09 Kristina Lisa Klinkner , Cosma Rohilla Shalizi , Marcelo F. Camperi

As experiments advance to record from tens of thousands of neurons, statistical physics provides a framework for understanding how collective activity emerges from networks of fine-scale correlations. While modeling these populations is…

Biological Physics · Physics 2024-12-25 David P. Carcamo , Christopher W. Lynn

We present a domain-general account of causation that applies to settings in which macro-level causal relations between two systems are of interest, but the relevant causal features are poorly understood and have to be aggregated from vast…

Machine Learning · Statistics 2015-12-29 Krzysztof Chalupka , Pietro Perona , Frederick Eberhardt

While probabilistic models describe the dependence structure between observed variables, causal models go one step further: they predict, for example, how cognitive functions are affected by external interventions that perturb neuronal…

Neurons and Cognition · Quantitative Biology 2021-04-12 Sebastian Weichwald , Jonas Peters

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

Our aim is to detect mechanistic interaction between the effects of two causal factors on a binary response, as an aid to identifying situations where the effects are mediated by a common mechanism. We propose a formalization of mechanistic…

Methodology · Statistics 2015-06-23 Carlo Berzuini , A. Philip Dawid

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

Statistics Theory · Mathematics 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

Evaluating the causal effect of an intervention on multivariate outcomes is challenging when the outcomes are interdependent and derived rather than directly observed. Effective connectivity, which summarizes the directional neural…

Methodology · Statistics 2026-04-02 Haiyue Song , Ani Eloyan , Youjin Lee

Causal discovery problems use a set of observations to deduce causality between variables in the real world, typically to answer questions about biological or physical systems. These observations are often recorded at regular time…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Kurt Butler , Damian Machlanski , Panagiotis Dimitrakopoulos , Sotirios A. Tsaftaris

Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

Statistical Mechanics · Physics 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

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…

Interpreting the inner function of neural networks is crucial for the trustworthy development and deployment of these black-box models. Prior interpretability methods focus on correlation-based measures to attribute model decisions to…

Machine Learning · Computer Science 2023-06-21 Ola Ahmad , Nicolas Bereux , Loïc Baret , Vahid Hashemi , Freddy Lecue

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Learning causal structure from sampled data is a fundamental problem with applications in various fields, including healthcare, machine learning and artificial intelligence. Traditional methods predominantly rely on observational data, but…

Machine Learning · Computer Science 2024-08-12 Qiu Chengbo , Yang Kai

No man is an island, as individuals interact and influence one another daily in our society. When social influence takes place in experiments on a population of interconnected individuals, the treatment on a unit may affect the outcomes of…

Methodology · Statistics 2017-08-30 Edward K. Kao

We study experiments on interacting populations of humans and AI agents, where both unit types and the interaction network remain unobserved. Although causal effects propagate throughout the system, the goal is to estimate effects on…

Machine Learning · Statistics 2026-03-03 William Overman , Sadegh Shirani , Mohsen Bayati

In many real-world systems, partial synchronization is the dominant dynamical regime and, in systems such as the brain, is often accompanied by collective oscillations in which multiple overlapping modes interact to produce complex rhythmic…

Adaptation and Self-Organizing Systems · Physics 2026-03-03 Ali Seif , Mina Zarei

The study of causal structure in complex systems has gained increasing attention, with many recent studies exploring causal networks that capture cause-effect relationships across diverse fields. Despite increasing empirical evidence…

Physics and Society · Physics 2025-02-26 Jiazhen Liu , Kunal Tamang , Dashun Wang , Chaoming Song

Human populations exhibit complex behaviors---characterized by long-range correlations and surges in activity---across a range of social, political, and technological contexts. Yet it remains unclear where these collective behaviors come…

Physics and Society · Physics 2020-05-07 Christopher W. Lynn , Lia Papadopoulos , Daniel D. Lee , Danielle S. Bassett

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman
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