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Since Edward Moore, finite automata theory has been inspired by physics, in particular by quantum complementarity. We review automaton complementarity, reversible automata and the connections to generalized urn models. Recent developments…

Quantum Physics · Physics 2007-05-23 Karl Svozil

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

Machine Learning · Computer Science 2023-09-26 Mo Tiwari

This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

Optimization and Control · Mathematics 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

An inductive theorem proving method for constrained term rewriting systems, which is based on rewriting induction, needs a decision procedure for reduction-completeness of constrained terms. In addition, the sufficient complete property of…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Naoki Nishida , Masahiko Sakai , Yasuhiro Nakano

We develop a novel data-driven approach to the inverse problem of classical statistical mechanics: given experimental data on the collective motion of a classical many-body system, how does one characterise the free energy landscape of that…

Statistical Mechanics · Physics 2022-03-01 Peter Yatsyshin , Serafim Kalliadasis , Andrew B. Duncan

Large Language Models (LLMs) with chain-of-thought (COT) prompting have demonstrated impressive abilities on simple nature language inference tasks. However, they tend to perform poorly on Multi-hop Question Answering (MHQA) tasks due to…

Computation and Language · Computer Science 2024-07-04 Xiaochen Wang , Junqing He , Zhe yang , Yiru Wang , Xiangdi Meng , Kunhao Pan , Zhifang Sui

Modern autonomous systems are purposed for many challenging scenarios, where agents will face unexpected events and complicated tasks. The presence of disturbance noise with control command and unknown inputs can negatively impact robot…

Robotics · Computer Science 2023-09-22 Zida Wu , Zhaoliang Zheng , Ankur Mehta

Artificial intelligence research increasingly depends on prolonged cycles of reproduction, debugging, and iterative refinement to achieve State-Of-The-Art (SOTA) performance, creating a growing need for systems that can accelerate the full…

Automata over infinite alphabets have emerged as a convenient computational model for processing structures involving data, such as nonces in cryptographic protocols or data values in XML documents. We introduce active learning methods for…

Formal Languages and Automata Theory · Computer Science 2026-03-27 Florian Frank , Stefan Milius , Jurriaan Rot , Henning Urbat

We introduce a novel paradigm for reducing the size of finite automata by compressing repeating sub-graphs. These repeating sub-graphs can be viewed as invocations of a single procedure. Instead of representing each invocation explicitly,…

Formal Languages and Automata Theory · Computer Science 2025-03-18 Michal Šedý , Lukáš Holík

We develop an efficient algorithm to determine the memory-depth of finite state machines and apply the algorithm to a collection of iterated prisoner's dilemma strategies. The calculation agrees with the memory-depth of other…

Computer Science and Game Theory · Computer Science 2019-12-11 T. J. Gaffney , Marc Harper , Vincent A. Knight

An effective way to achieve intelligence is to simulate various intelligent behaviors in the human brain. In recent years, bio-inspired learning methods have emerged, and they are different from the classical mathematical programming…

Artificial Intelligence · Computer Science 2019-04-01 Jieneng Chen , Jingye Chen , Ruiming Zhang , Xiaobin Hu

In standard passive imitation learning, the goal is to learn a target policy by passively observing full execution trajectories of it. Unfortunately, generating such trajectories can require substantial expert effort and be impractical in…

Machine Learning · Computer Science 2012-10-19 Kshitij Judah , Alan Fern , Thomas G. Dietterich

We consider the previously defined notion of finite-state independence and we focus specifically on normal words. We characterize finite-state independence of normal words in three different ways, using three different kinds of asynchronous…

Formal Languages and Automata Theory · Computer Science 2018-07-10 Nicolás Álvarez , Verónica Becher , Olivier Carton

A significant challenge in machine learning, particularly in noisy and low-data environments, lies in effectively incorporating inductive biases to enhance data efficiency and robustness. Despite the success of informed machine learning…

Machine Learning · Computer Science 2025-02-06 Katarzyna Kobalczyk , Mihaela van der Schaar

This paper presents a fast algorithm for estimating hidden states of Bayesian state space models. The algorithm is a variation of amortized simulation-based inference algorithms, where a large number of artificial datasets are generated at…

Econometrics · Economics 2022-10-14 Ramis Khabibullin , Sergei Seleznev

A learning algorithm based on primary school teaching and learning is presented. The methodology is to continuously evaluate a student and to give them training on the examples for which they repeatedly fail, until, they can correctly…

Artificial Intelligence · Computer Science 2010-12-14 Ninan Sajeeth Philip

A recently new intelligent optimization algorithm called discrete state transition algorithm is considered in this study, for solving unconstrained integer optimization problems. Firstly, some key elements for discrete state transition…

Optimization and Control · Mathematics 2016-04-05 Xiaojun Zhou

In inductive learning of a broad concept, an algorithm should be able to distinguish concept examples from exceptions and noisy data. An approach through recursively finding patterns in exceptions turns out to correspond to the problem of…

Logic in Computer Science · Computer Science 2017-07-11 Farhad Shakerin , Elmer Salazar , Gopal Gupta

We present a fully automated method that identifies attractors and their basins of attraction without approximations of the dynamics. The method works by defining a finite state machine on top of the system flow. The input to the method is…

Dynamical Systems · Mathematics 2022-02-16 George Datseris , Alexandre Wagemakers