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Koopman theory studies dynamical systems in terms of operator theoretic properties of the Perron-Frobenius operator $\mathcal{P}$ and Koopman operator $\mathcal{U}$ respectively. In this paper, we derive the rates of convergence of…

Dynamical Systems · Mathematics 2018-11-28 Andrew J. Kurdila , Parag Bobade

As the complexity of AI systems and their interactions with the world increases, generating explanations for their behaviour is important for safely deploying AI. For agents, the most natural abstractions for predicting behaviour attribute…

Artificial Intelligence · Computer Science 2025-06-05 Alexis Bellot , Jonathan Richens , Tom Everitt

This paper addresses the critical challenge of mesa-optimization in AI safety by providing a formal definition of agency and a framework for its analysis. Agency is conceptualized as a Continuous Representation of accumulated experience…

Machine Learning · Computer Science 2026-03-24 Eduard Kapelko

The active inference framework (AIF) is a promising new computational framework grounded in contemporary neuroscience that can produce human-like behavior through reward-based learning. In this study, we test the ability for the AIF to…

Neurons and Cognition · Quantitative Biology 2022-11-21 Zhizhuo Yang , Gabriel J. Diaz , Brett R. Fajen , Reynold Bailey , Alexander Ororbia

The development of artificial intelligence systems is transitioning from creating static, task-specific models to dynamic, agent-based systems capable of performing well in a wide range of applications. We propose an Interactive Agent…

This paper studies standard controller architectures for agentic AI and derives automata-theoretic models of their interaction behavior via trace semantics and abstraction. We model an agent implementation as a finite control program…

Artificial Intelligence · Computer Science 2026-02-02 Roham Koohestani , Ziyou Li , Anton Podkopaev , Maliheh Izadi

AI support of collaborative interactions entails mediating potential misalignment between interlocutor beliefs. Common preference alignment methods like DPO excel in static settings, but struggle in dynamic collaborative tasks where the…

Computation and Language · Computer Science 2025-05-27 Abhijnan Nath , Carine Graff , Andrei Bachinin , Nikhil Krishnaswamy

Training neural networks on randomly generated artificial datasets yields Bayesian models that capture the prior defined by the dataset-generating distribution. Prior-data Fitted Networks (PFNs) are a class of methods designed to leverage…

Machine Learning · Computer Science 2025-06-02 Samuel Müller , Arik Reuter , Noah Hollmann , David Rügamer , Frank Hutter

Operator learning is a recent development in the simulation of Partial Differential Equations (PDEs) by means of neural networks. The idea behind this approach is to learn the behavior of an operator, such that the resulting neural network…

Numerical Analysis · Mathematics 2025-01-15 Ahmed Abdeljawad , Thomas Dittrich

AI agent inference is driving an inference heavy datacenter future and exposes bottlenecks beyond compute - especially memory capacity, memory bandwidth and high-speed interconnect. We introduce two metrics - Operational Intensity (OI) and…

Artificial Intelligence · Computer Science 2026-01-30 Yiren Zhao , Junyi Liu

Resonances of the time evolution (Frobenius-Perron) operator P for phase space densities have recently been shown to play a key role for the interrelations of classical, semiclassical and quantum dynamics. Efficient methods to determine…

Chaotic Dynamics · Physics 2009-10-31 Joachim Weber , Fritz Haake , Petr Seba

The global behavior of dynamical systems can be studied by analyzing the eigenvalues and corresponding eigenfunctions of linear operators associated with the system. Two important operators which are frequently used to gain insight into the…

Numerical Analysis · Mathematics 2017-01-23 Stefan Klus , Christof Schütte

The increasing deployment of AI is shaping the future landscape of the internet, which is set to become an integrated ecosystem of AI agents. Orchestrating the interaction among AI agents necessitates decentralized, self-sustaining…

Computer Science and Game Theory · Computer Science 2024-10-08 Dima Ivanov , Paul Dütting , Inbal Talgam-Cohen , Tonghan Wang , David C. Parkes

Optimal power flow (OPF) is a very fundamental but vital optimization problem in the power system, which aims at solving a specific objective function (ex.: generator costs) while maintaining the system in the stable and safe operations. In…

Systems and Control · Electrical Eng. & Systems 2020-04-09 Yuhao Zhou , Bei Zhang , Chunlei Xu , Tu Lan , Ruisheng Diao , Di Shi , Zhiwei Wang , Wei-Jen Lee

This paper proposes an algorithm for motion planning among dynamic agents using adaptive conformal prediction. We consider a deterministic control system and use trajectory predictors to predict the dynamic agents' future motion, which is…

Information about the behavior of dynamical systems can often be obtained by analyzing the eigenvalues and corresponding eigenfunctions of linear operators associated with a dynamical system. Examples of such operators are the…

Dynamical Systems · Mathematics 2016-10-21 Stefan Klus , Péter Koltai , Christof Schütte

Prior-data fitted networks (PFNs) were recently proposed as a new paradigm for machine learning. Instead of training the network to an observed training set, a fixed model is pre-trained offline on small, simulated training sets from a…

Machine Learning · Statistics 2023-05-19 Thomas Nagler

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

We study agency under partial observability in deterministic physical or simulated worlds, where apparent randomness arises from uncertainty over initial conditions, fixed law bits, and unrolled exogenous noise. We model sensing and…

Artificial Intelligence · Computer Science 2026-05-08 Richard Csaky

Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil