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How do multi-turn reasoning systems fail? The expected answer is logical contradiction, in which the system's maintained state becomes unsatisfiable. We show that the dominant mode is instead satisfiable drift, where the internal state…

Artificial Intelligence · Computer Science 2026-05-26 Sebastien Kawada

We explore adversarial robustness in the setting in which it is acceptable for a classifier to abstain---that is, output no class---on adversarial examples. Adversarial examples are small perturbations of normal inputs to a classifier that…

Machine Learning · Computer Science 2019-11-27 Cassidy Laidlaw , Soheil Feizi

Reversible Probabilistic Cellular Automata are a special class of automata whose stationary behavior is described by Gibbs-like measures. For those models the dynamics can be trapped for a very long time in states which are very different…

Mathematical Physics · Physics 2016-03-30 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

Active object systems are a model of distributed computation that has been adopted for modelling distributed systems and business process workflows. This field of modelling is, in essence, concurrent and resource-aware, motivating the…

Programming Languages · Computer Science 2025-08-22 Francesco Dagnino , Paola Giannini , Violet Ka I Pun , Ulises Torrella

We show that, even for extremely stiff systems, explicit integration may compete in both accuracy and speed with implicit methods if algebraic methods are used to stabilize the numerical integration. The required stabilizing algebra depends…

Solar and Stellar Astrophysics · Physics 2016-08-01 M. W. Guidry , R. Budiardja , E. Feger , J. J. Billings , W. R. Hix , O. E. B. Messer , K. J. Roche , E. McMahon , M. He

The Generalized Finite Element Method (GFEM) is an extension of the Finite Element Method (FEM), where the standard finite element space is augmented with a space of non-polynomial functions, called the enrichment space. The functions in…

Numerical Analysis · Mathematics 2016-03-30 Kenan Kergrene , Ivo Babuška , Uday Banerjee

Supervised imitation learning, also known as behavioral cloning, suffers from distribution drift leading to failures during policy execution. One approach to mitigate this issue is to allow an expert to correct the agent's actions during…

Robotics · Computer Science 2023-12-11 Trevor Ablett , Filip Marić , Jonathan Kelly

Cooperative systems often remain in persistently suboptimal yet stable states. This paper explains such "rational stagnation" as an equilibrium sustained by a rational adversary whose utility follows the principle of potential loss, $u_{D}…

Computer Science and Game Theory · Computer Science 2025-10-28 Daisuke Hirota

There are a number of hypotheses underlying the existence of adversarial examples for classification problems. These include the high-dimensionality of the data, high codimension in the ambient space of the data manifolds of interest, and…

Machine Learning · Computer Science 2024-04-15 Brian Bell , Michael Geyer , David Glickenstein , Keaton Hamm , Carlos Scheidegger , Amanda Fernandez , Juston Moore

Edge AI is often framed as model compression and deployment under tight constraints. We argue a stronger operational thesis: Edge AI in realistic deployments is necessarily adaptive. In long-horizon operation, a fixed (non-adaptive)…

Hardware Architecture · Computer Science 2026-04-10 Fabrizio Pittorino , Manuel Roveri

Iterative numerical algorithms are typically equipped with a stopping criterion, where the iteration process is terminated when some error or misfit measure is deemed to be below a given tolerance. This is a useful setting for comparing…

Numerical Analysis · Computer Science 2014-12-04 Uri Ascher , Farbod Roosta-Khorasani

We introduce the technique of adaptive discretization to design an efficient model-based episodic reinforcement learning algorithm in large (potentially continuous) state-action spaces. Our algorithm is based on optimistic one-step value…

Machine Learning · Computer Science 2020-10-26 Sean R. Sinclair , Tianyu Wang , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark…

Numerical Analysis · Mathematics 2025-02-25 Sixu Wu , Feng Ji , Lu Gao , Ruili Zhang , Cunwei Tang , Yifa Tang

Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic has to be expressive enough to allow the formalization of…

Logic in Computer Science · Computer Science 2015-07-01 Stefan Wöhrle , Wolfgang Thomas

This paper focuses on the inference of modes for which a logic program is guaranteed to terminate. This generalises traditional termination analysis where an analyser tries to verify termination for a specified mode. Our contribution is a…

Programming Languages · Computer Science 2007-05-23 Samir Genaim , Michael Codish

One of the main aspects of switched affine systems that makes their stabilizability study intricate is the existence of (generally) infinitely many equilibrium points in the state space. Thus, prior to designing the switched control, the…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Lucas N. Egidio , Anders Hansson

We analyze the stability and stabilizability properties of mixed retarded-neutral type systems when the neutral term is allowed to be singular. Considering an operator model of the system in a Hilbert space we are interesting in the…

Dynamical Systems · Mathematics 2009-09-23 Rabah Rabah , Grigory M. Sklyar , Pavel Yu. Barkhayev

Although the halting problem is undecidable, imperfect testers that fail on some instances are possible. Such instances are called hard for the tester. One variant of imperfect testers replies "I don't know" on hard instances, another…

Logic in Computer Science · Computer Science 2014-12-01 Antti Valmari

Artificial Intelligence problems, ranging form planning/scheduling up to game control, include an essential crucial step: describing a model which accurately defines the problem's required data, requirements, allowed transitions and…

Artificial Intelligence · Computer Science 2019-03-25 Andrei Arusoaie , Ionut Pistol

Adaptive optimal control using value iteration initiated from a stabilizing control policy is theoretically analyzed in terms of stability of the system during the learning stage without ignoring the effects of approximation errors. This…

Optimization and Control · Mathematics 2017-10-25 Ali Heydari