Tootfinder

A New Perspective On AI Safety Through Control Theory Methodologies
Lars Ullrich, Walter Zimmer, Ross Greer, Knut Graichen, Alois C. Knoll, Mohan Trivedi
https://arxiv.org/abs/2506.23703

A New Perspective On AI Safety Through Control Theory Methodologies
While artificial intelligence (AI) is advancing rapidly and mastering increasingly complex problems with astonishing performance, the safety assurance of such systems is a major concern. Particularly in the context of safety-critical, real-world cyber-physical systems, AI promises to achieve a new level of autonomy but is hampered by a lack of safety assurance. While data-driven control takes up recent developments in AI to improve control systems, control theory in general could be leveraged t…

Instanton Theory for Nonadiabatic Tunneling through Near-Barrier Crossings
Ziyan Ye, Eric R. Heller, Dong H. Zhang, Jeremy O. Richardson, Wei Fang
https://arxiv.org/abs/2507.01151

Instanton Theory for Nonadiabatic Tunneling through Near-Barrier Crossings
Many reactions in chemistry and biology involve multiple electronic states, rendering them nonadiabatic in nature. These reactions can be formally described using Fermi's golden rule (FGR) in the weak-coupling limit. Nonadiabatic instanton theory presents a semiclassical approximation to FGR, which is directly applicable to molecular systems. However, there are cases where the theory has not yet been formulated. For instance, in many real-world reactions including spin-crossover or proton-coupl…

From Representation to Mediation: A New Agenda for Conceptual Modeling Research in A Digital World
J. Recker, R. Lukyanenko, M. A. Jabbari, B. M. Samuel, A. Castellanos
https://arxiv.org/abs/2506.18743

From Representation to Mediation: A New Agenda for Conceptual Modeling Research in A Digital World
The role of information systems (IS) as representations of real-world systems is changing in an increasingly digitalized world, suggesting that conceptual modeling is losing its relevance to the IS field. We argue the opposite: Conceptual modeling research is more relevant to the IS field than ever, but it requires an update with current theory. We develop a new theoretical framework of conceptual modeling that delivers a fundamental shift in the assumptions that govern research in this area. T…

Stochastic stability of physical measures in conservative systems
Weiwei Qi, Zhongwei Shen, Yingfei Yi
https://arxiv.org/abs/2506.17598 https://

Stochastic stability of physical measures in conservative systems
Given the significance of physical measures in understanding the complexity of dynamical systems as well as the noisy nature of real-world systems, investigating the stability of physical measures under noise perturbations is undoubtedly a fundamental issue in both theory and practice. The present paper is devoted to the stochastic stability of physical measures for conservative systems on a smooth, connected, and closed Riemannian manifold. It is assumed that a conservative system admits an …

Symmetry Sectors in Chord Space and Relational Holography in the DSSYK
Sergio E. Aguilar-Gutierrez
https://arxiv.org/abs/2506.21447 https://

Symmetry Sectors in Chord Space and Relational Holography in the DSSYK
Can there be multiple bulk theories for the same boundary theory? We answer this affirmatively in the double-scaled SYK (DSSYK) model using the tools of constrained systems. We find different symmetry sectors generated by specific constraints within the chord Hilbert space of the DSSYK with matter. Each sector corresponds to a different bulk description. These include chord parity symmetry, corresponding to End-Of-The-World (ETW) branes and Euclidean wormholes in sine dilaton gravity; and relat…

Robust estimation of a Markov chain transition matrix from multiple sample paths
Lasse Leskel\"a, Maximilien Dreveton
https://arxiv.org/abs/2506.20325

Robust estimation of a Markov chain transition matrix from multiple sample paths
Markov chains are fundamental models for stochastic dynamics, with applications in a wide range of areas such as population dynamics, queueing systems, reinforcement learning, and Monte Carlo methods. Estimating the transition matrix and stationary distribution from observed sample paths is a core statistical challenge, particularly when multiple independent trajectories are available. While classical theory typically assumes identical chains with known stationary distributions, real-world data…

Collective oscillations in the finite-size Kuramoto model below the critical coupling: shot-noise approach
Sergei Kirillov, Vladimir Klinshov
https://arxiv.org/abs/2506.22160

Collective oscillations in the finite-size Kuramoto model below the critical coupling: shot-noise approach
The Kuramoto model, a paradigmatic framework for studying synchronization, exhibits a transition to collective oscillations only above a critical coupling strength in the thermodynamic limit. However, real-world systems are finite, and their dynamics can deviate significantly from mean-field predictions. Here, we investigate finite-size effects in the Kuramoto model below the critical coupling, where the infinite-size theory predicts complete asynchrony. Using a shot-noise approach, we derive a…