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Bifurcation theory is the usual analytic approach to study the parameter space of a dynamical system. Despite the great power of prediction of these techniques, fundamental limitations appear during the study of a given problem. Nonlinear…

Chaotic Dynamics · Physics 2023-10-02 Alexandre Wagemakers , Alvar Daza , Miguel A. F. Sanjuán

We consider data with multiple observations or reports on a network in the case when these networks themselves are connected through some form of network ties. We could take the example of a cognitive social structure where there is another…

Social and Information Networks · Computer Science 2021-11-16 Johan Koskinen , Pete Jones , Darkhan Medeuov , Artem Antonyuk , Kseniia Puzyreva , Nikita Basov

End-to-end task-oriented dialogue systems aim to generate system responses directly from plain text inputs. There are two challenges for such systems: one is how to effectively incorporate external knowledge bases (KBs) into the learning…

Computation and Language · Computer Science 2020-10-06 Shiquan Yang , Rui Zhang , Sarah Erfani

One of the main challenges of Topological Data Analysis (TDA) is to extract features from persistent diagrams directly usable by machine learning algorithms. Indeed, persistence diagrams are intrinsically (multi-)sets of points in…

Machine Learning · Computer Science 2022-09-27 Raphael Reinauer , Matteo Caorsi , Nicolas Berkouk

Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described by graph transformation, but the majority of authors take an…

Discrete Mathematics · Computer Science 2021-12-22 Nicolas Behr , Bello Shehu Bello , Sebastian Ehmes , Reiko Heckel

Isomorphisms allow human cognition to transcribe a potentially unsolvable problem from one domain to a different domain where the problem might be more easily addressed. Current approaches only focus on transcribing structural information…

Computation and Language · Computer Science 2021-05-14 Andrew Broekman , Linda Marshall

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

We study a constructive algorithm that approximates Gateaux derivatives for statistical functionals by finite differencing, with a focus on functionals that arise in causal inference. We study the case where probability distributions are…

Methodology · Statistics 2026-03-16 Michael I. Jordan , Yixin Wang , Angela Zhou

Supervised learning with tabular data presents unique challenges, including low data sizes, the absence of structural cues, and heterogeneous features spanning both categorical and continuous domains. Unlike vision and language tasks, where…

Machine Learning · Computer Science 2025-12-18 Yunze Leng , Rohan Ghosh , Mehul Motani

Dialogue systems capable of social influence such as persuasion, negotiation, and therapy, are essential for extending the use of technology to numerous realistic scenarios. However, existing research primarily focuses on either…

Computation and Language · Computer Science 2023-01-26 Kushal Chawla , Weiyan Shi , Jingwen Zhang , Gale Lucas , Zhou Yu , Jonathan Gratch

The potential influence diagram is a generalization of the standard "conditional" influence diagram, a directed network representation for probabilistic inference and decision analysis [Ndilikilikesha, 1991]. It allows efficient inference…

Artificial Intelligence · Computer Science 2013-03-08 Ross D. Shachter , Pierre Ndilikilikesha

This paper addresses the problem of data-driven computation of controllers that are correct by design for safety-critical systems and can provably satisfy (complex) functional requirements. With a focus on continuous-space stochastic…

Systems and Control · Electrical Eng. & Systems 2024-11-11 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

The natural habitat of most Bayesian methods is data represented by exchangeable sequences of observations, for which de Finetti's theorem provides the theoretical foundation. Dirichlet process clustering, Gaussian process regression, and…

Statistics Theory · Mathematics 2015-02-16 Peter Orbanz , Daniel M. Roy

Many applications in medical statistics as well as in other fields can be described by transitions between multiple states (e.g. from health to disease) experienced by individuals over time. In this context, multi-state models are a popular…

Deep learning models are being used for the analysis of parametric statistical models based on simulation-only frameworks. Bayesian models using normalizing flows simulate data from a prior distribution and are composed of two deep neural…

Statistics Theory · Mathematics 2026-03-12 Stefan Böhringer

Inverse problems arise in situations where data is available, but the underlying model is not. It can therefore be necessary to infer the parameters of the latter starting from the former. Statistical mechanics offers a toolbox of…

Statistical Mechanics · Physics 2025-07-04 Stefano Bae , Dario Bocchi , Luca Maria Del Bono , Luca Leuzzi

Analyzing interaction data provides an opportunity to learn about users, uncover their underlying goals, and create intelligent visualization systems. The first step for intelligent response in visualizations is to enable computers to infer…

Human-Computer Interaction · Computer Science 2020-10-19 Shayan Monadjemi , Roman Garnett , Alvitta Ottley

Estimating the parameters of mathematical models is a common problem in almost all branches of science. However, this problem can prove notably difficult when processes and model descriptions become increasingly complex and an explicit…

Machine Learning · Statistics 2024-02-09 Stefan T. Radev , Ulf K. Mertens , Andreas Voss , Lynton Ardizzone , Ullrich Köthe

Predicting the outcome of a process requires modeling the system dynamic and observing the states. In the context of social behaviors, sentiments characterize the states of the system. Affect Control Theory (ACT) uses sentiments to manifest…

Computation and Language · Computer Science 2022-09-15 Moeen Mostafavi , Michael D. Porter , Dawn T. Robinson

Influence maximization (IM) is formulated as selecting a set of initial users from a social network to maximize the expected number of influenced users. Researchers have made great progress in designing various traditional methods, and…

Social and Information Networks · Computer Science 2023-05-09 Chen Ling , Junji Jiang , Junxiang Wang , My Thai , Lukas Xue , James Song , Meikang Qiu , Liang Zhao