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In this paper, we propose a Transformer-based framework for approximating solutions to infinite-dimensional optimization problems: calculus of variations problems and optimal control problems. Our approach leverages offline training on data…

Optimization and Control · Mathematics 2025-11-20 Gage MacLin , Venanzio Cichella , Andrew Patterson , Irene Gregory

Transformer-based architectures have shown remarkable performance in vision and language tasks but pose unique challenges for safety-critical applications. This paper presents a conceptual framework for integrating Transformers into…

Software Engineering · Computer Science 2026-01-28 Sven Kirchner , Nils Purschke , Chengdong Wu , Alois Knoll

In this paper, the author aims to establish a mathematical model for a mimic computer. To this end, a novel automaton is proposed. First, a one-dimensional cellular automaton is used for expressing some dynamic changes in the structure of a…

Formal Languages and Automata Theory · Computer Science 2017-03-07 Weijun Zhu

Data-driven simulators promise high data-efficiency for driving policy learning. When used for modelling interactions, this data-efficiency becomes a bottleneck: Small underlying datasets often lack interesting and challenging edge cases…

Automaton learning is a domain in which the target system is inferred by the automaton learning algorithm in the form of an automaton, by synthesizing a finite number of inputs and their corresponding outputs. Automaton learning makes use…

Formal Languages and Automata Theory · Computer Science 2024-04-18 Farah Haneef

Reinforcement learning and sim-to-real transfer have made significant progress in dexterous manipulation. However, progress remains limited by the difficulty of simulating complex contact dynamics and multisensory signals, especially…

Robotics · Computer Science 2026-02-26 Elvis Hsieh , Wen-Han Hsieh , Yen-Jen Wang , Toru Lin , Jitendra Malik , Koushil Sreenath , Haozhi Qi

We present an active automata learning algorithm which learns a decomposition of a finite state machine, based on projecting onto individual outputs. This is dual to a recent compositional learning algorithm by Labbaf et al. (2023). When…

Logic in Computer Science · Computer Science 2024-05-15 Rick Koenders , Joshua Moerman

In this paper we give an optimization for active learning algorithms, applicable to learning Moore machines where the output comprises several observables. These machines can be decomposed themselves by projecting on each observable,…

Software Engineering · Computer Science 2017-05-09 Joshua Moerman

Neural networks have in recent years shown promise for helping software engineers write programs and even formally verify them. While semantic information plays a crucial part in these processes, it remains unclear to what degree popular…

Machine Learning · Computer Science 2023-06-27 Shizhuo Dylan Zhang , Curt Tigges , Stella Biderman , Maxim Raginsky , Talia Ringer

Industry has always been in the pursuit of becoming more economically efficient and the current focus has been to reduce human labour using modern technologies. Even with cutting edge technologies, which range from packaging robots to AI…

Multiagent Systems · Computer Science 2019-10-22 Leonardo A. Espinosa Leal , Magnus Westerlund , Anthony Chapman

We demonstrate how multiagent systems provide useful control techniques for modular self-reconfigurable (metamorphic) robots. Such robots consist of many modules that can move relative to each other, thereby changing the overall shape of…

Robotics · Computer Science 2007-05-23 Hristo Bojinov , Arancha Casal , Tad Hogg

Although robotics courses are well established in higher education, the courses often focus on theory and sometimes lack the systematic coverage of the techniques involved in developing, deploying, and applying software to real hardware.…

We develop a methodology to learn finitely generated random iterated function systems from time-series of partial observations using delay embeddings. We obtain a minimal model representation for the observed dynamics, using a hidden…

Dynamical Systems · Mathematics 2025-08-20 Emilia Gibson , Jeroen S. W. Lamb

Quantitative automata are useful representations for numerous applications, including modeling probability distributions over sequences to Markov chains and reward machines. Actively learning such automata typically occurs using explicitly…

Formal Languages and Automata Theory · Computer Science 2024-11-19 Eric Hsiung , Swarat Chaudhuri , Joydeep Biswas

We develop a method to control discrete-time systems with constant but initially unknown parameters from linear temporal logic (LTL) specifications. We introduce the notions of (non-deterministic) parametric and adaptive transition systems…

Systems and Control · Computer Science 2017-03-23 Sadra Sadraddini , Calin Belta

The current verification flow of complex systems uses different engines synergistically: virtual prototyping, formal verification, simulation, emulation and FPGA prototyping. However, none is able to verify a complete architecture.…

Logic in Computer Science · Computer Science 2018-02-12 Tomas Grimm , Djones Lettnin , Michael Hübner

Abstract models of system-level behaviour have applications in design exploration, analysis, testing and verification. We describe a new algorithm for automatically extracting useful models, as automata, from execution traces of a HW/SW…

Formal Languages and Automata Theory · Computer Science 2020-05-06 Natasha Yogananda Jeppu , Tom Melham , Daniel Kroening , John O'Leary

We propose a supervised learning algorithm for machine learning applications. Contrary to the model developing in the classical methods, which treat training, validation, and test as separate steps, in the presented approach, there is a…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

We show that weighted automata over the field of two elements can be exponentially more compact than non-deterministic finite state automata. To show this, we combine ideas from automata theory and communication complexity. However,…

Formal Languages and Automata Theory · Computer Science 2021-04-26 Artem Kaznatcheev , Prakash Panangaden

Pre-trained Transformer models like T5 and BART have advanced the state of the art on a wide range of text generation tasks. Compressing these models into smaller ones has become critically important for practical use. Common neural network…

Computation and Language · Computer Science 2023-06-06 Wangchunshu Zhou , Ronan Le Bras , Yejin Choi