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Spectral network identification aims at inferring the eigenvalues of the Laplacian matrix of a network from measurement data. This allows to capture global information on the network structure from local measurements at a few number of…

Dynamical Systems · Mathematics 2022-07-15 Marvyn Gulina , Alexandre Mauroy

This paper considers a challenging problem of identifying a causal graphical model under the presence of latent variables. While various identifiability conditions have been proposed in the literature, they often require multiple pure…

Machine Learning · Statistics 2026-02-03 Seunghyun Lee , Yuqi Gu

Video action recognition, a critical problem in video understanding, has been gaining increasing attention. To identify actions induced by complex object-object interactions, we need to consider not only spatial relations among objects in a…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Hao Huang , Luowei Zhou , Wei Zhang , Jason J. Corso , Chenliang Xu

Since Facial Action Unit (AU) annotations require domain expertise, common AU datasets only contain a limited number of subjects. As a result, a crucial challenge for AU detection is addressing identity overfitting. We find that AUs and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-26 Zhipeng Hu , Wei Zhang , Lincheng Li , Yu Ding , Wei Chen , Zhigang Deng , Xin Yu

Dynamical systems theory has long provided a foundation for understanding evolving phenomena across scientific domains. Yet, the application of this theory to complex real-world systems remains challenging due to issues in mathematical…

Machine Learning · Computer Science 2024-11-05 Samuel A. Moore , Brian P. Mann , Boyuan Chen

Revealing physical interactions in complex systems from observed collective dynamics constitutes a fundamental inverse problem in science. Current reconstruction methods require access to a system's model or dynamical data at a level of…

Physics and Society · Physics 2018-01-18 Mor Nitzan , Jose Casadiego , Marc Timme

Identifiability of parameters is an essential property for a statistical model to be useful in most settings. However, establishing parameter identifiability for Bayesian networks with hidden variables remains challenging. In the context of…

Statistics Theory · Mathematics 2014-06-04 Elizabeth S. Allman , John A. Rhodes , Elena Stanghellini , Marco Valtorta

The non-Hermitian skin effect is fundamentally characterized by its sensitivity to boundary conditions, reflected in changes to the energy spectrum and boundary-localized eigenstates. Here, we demonstrate that a spatially inhomogeneous…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Zheng Wei , Ji-Yao Fan , Kui Cao , Xin-Ran Ma , Cui-Xian Guo , Xue-Ping Ren , Su-Peng Kou

The theory of network identification, namely identifying the (weighted) interaction topology among a known number of agents, has been widely developed for linear agents. However, the theory for nonlinear agents using probing inputs is far…

Systems and Control · Computer Science 2025-01-29 Miel Sharf , Daniel Zelazo

The recently introduced graphical continuous Lyapunov models provide a new approach to statistical modeling of correlated multivariate data. The models view each observation as a one-time cross-sectional snapshot of a multivariate dynamic…

Statistics Theory · Mathematics 2023-11-16 Philipp Dettling , Roser Homs , Carlos Améndola , Mathias Drton , Niels Richard Hansen

Causal inference quantifies cause-effect relationships by estimating counterfactual parameters from data. This entails using \emph{identification theory} to establish a link between counterfactual parameters of interest and distributions…

Machine Learning · Statistics 2020-04-17 Jaron J. R. Lee , Ilya Shpitser

We consider the setting of an agent with a fixed body interacting with an unknown and uncertain external world. We show that models trained to predict proprioceptive information about the agent's body come to represent objects in the…

We develop a general framework for the identification of counterfactual parameters in a class of nonlinear semiparametric panel models with fixed effects and time effects. Our method applies to models for discrete outcomes (e.g., two-way…

Econometrics · Economics 2023-11-07 Irene Botosaru , Chris Muris

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. We are interested in graph-theoretic conditions…

Optimization and Control · Mathematics 2019-12-02 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Over the years various methods have been proposed for the problem of object detection. Recently, we have witnessed great strides in this domain owing to the emergence of powerful deep neural networks. However, there are typically two main…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Klemen Kotar , Roozbeh Mottaghi

In our multicultural world, affect-aware AI systems that support humans need the ability to perceive affect across variations in emotion expression patterns across cultures. These systems must perform well in cultural contexts without…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Leena Mathur , Ralph Adolphs , Maja J Matarić

As one of the mainstream models of artificial intelligence, world models allow agents to learn the representation of the environment for efficient prediction and planning. However, classical world models based on flat tensors face several…

Artificial Intelligence · Computer Science 2026-05-01 Jiawei Liu , Senqiao Yang , Mingjun Wang , Yu Wang , Bei Yu

We introduce a geometric method for online transfer identification of a deterministic linear time-invariant system. At the beginning of the identification process, we assume access to abundant data from a system that is similar, though not…

Systems and Control · Electrical Eng. & Systems 2026-02-23 N. Naveen Mukesh , Debraj Chakraborty

We study parameter identifiability of directed Gaussian graphical models with one latent variable. In the scenario we consider, the latent variable is a confounder that forms a source node of the graph and is a parent to all other nodes,…

Statistics Theory · Mathematics 2015-05-08 Dennis Leung , Mathias Drton , Hisayuki Hara

This paper considers identifying and estimating the Average Treatment Effect on the Treated (ATT) when untreated potential outcomes are generated by an interactive fixed effects model. That is, in addition to time-period and individual…

Econometrics · Economics 2022-02-15 Brantly Callaway , Sonia Karami
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