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Every language recognized by a non-deterministic finite automaton can be recognized by a deterministic automaton, at the cost of a potential increase of the number of states, which in the worst case can go from $n$ states to $2^n$ states.…

Formal Languages and Automata Theory · Computer Science 2025-02-05 Arnaud Carayol , Philippe Duchon , Florent Koechlin , Cyril Nicaud

Mechanistic interpretability has made it possible to localize circuits underlying specific behaviors in language models, but existing methods are expensive, model-specific, and difficult to scale to larger architectures. We introduce…

Computation and Language · Computer Science 2026-04-28 Shun Shao , Binxu Wang , Shay B. Cohen , Anna Korhonen , Yonatan Belinkov

Angluin's L* algorithm learns the minimal (complete) deterministic finite automaton (DFA) of a regular language using membership and equivalence queries. Its probabilistic approximatively correct (PAC) version substitutes an equivalence…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Igor Khmelnitsky , Serge Haddad , Lina Ye , Benoît Barbot , Benedikt Bollig , Martin Leucker , Daniel Neider , Rajarshi Roy

Many natural language processing systems operate over tokenizations of text to address the open-vocabulary problem. In this paper, we give and analyze an algorithm for the efficient construction of deterministic finite automata (DFA)…

Formal Languages and Automata Theory · Computer Science 2025-05-27 Martin Berglund , Willeke Martens , Brink van der Merwe

Diffusion large language models (dLLMs) generate text via iterative denoising but consistently underperform on multi-step reasoning. We hypothesize this gap stems from a coordination problem: AR models build coherence token-by-token, while…

Artificial Intelligence · Computer Science 2026-03-17 Earl J St Sauver

Nondeterministic good-for-MDPs (GFM) automata are for MDP model checking and reinforcement learning what good-for-games (GFG) automata are for reactive synthesis: a more compact alternative to deterministic automata that displays…

Formal Languages and Automata Theory · Computer Science 2026-01-01 Sven Schewe , Qiyi Tang , Tansholpan Zhanabekova

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

Machine Learning · Computer Science 2012-07-02 Koby Crammer , Amir Globerson

Score matching is an alternative to maximum likelihood estimation when the normalizing constant is unknown or too costly to evaluate. However, vanilla score matching has shown to be inefficient relative to maximum likelihood estimation for…

Machine Learning · Statistics 2026-05-25 Benedikt Lütke Schwienhorst , Nadja Klein , Johannes Lederer

The concepts of sparsity, and regularised estimation, have proven useful in many high-dimensional statistical applications. Dynamic factor models (DFMs) provide a parsimonious approach to modelling high-dimensional time series, however, it…

Methodology · Statistics 2023-03-22 Luke Mosley , Tak-Shing T. Chan , Alex Gibberd

The promise of active learning (AL) is to reduce labelling costs by selecting the most valuable examples to annotate from a pool of unlabelled data. Identifying these examples is especially challenging with high-dimensional data (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Amin Parvaneh , Ehsan Abbasnejad , Damien Teney , Reza Haffari , Anton van den Hengel , Javen Qinfeng Shi

Numerous malware families rely on domain generation algorithms (DGAs) to establish a connection to their command and control (C2) server. Counteracting DGAs, several machine learning classifiers have been proposed enabling the…

Cryptography and Security · Computer Science 2021-06-24 Arthur Drichel , Nils Faerber , Ulrike Meyer

We approach the problem of computing a $D_{3}$-synchronizing word of minimum length for a given nondeterministic automaton via its encoding as an instance of SAT and invoking a SAT solver. We also present some experimental results.

Formal Languages and Automata Theory · Computer Science 2018-01-17 Hanan Shabana , Mikhail V. Volkov

Fisher discriminant analysis (FDA) is a widely used method for classification and dimensionality reduction. When the number of predictor variables greatly exceeds the number of observations, one of the alternatives for conventional FDA is…

Machine Learning · Statistics 2018-11-30 Agniva Chowdhury , Jiasen Yang , Petros Drineas

Recent work on Neural-Symbolic systems that learn the discrete planning model from images has opened a promising direction for expanding the scope of Automated Planning and Scheduling to the raw, noisy data. However, previous work only…

Artificial Intelligence · Computer Science 2019-12-12 Masataro Asai

We study the problem of list-decodable sparse mean estimation. Specifically, for a parameter $\alpha \in (0, 1/2)$, we are given $m$ points in $\mathbb{R}^n$, $\lfloor \alpha m \rfloor$ of which are i.i.d. samples from a distribution $D$…

Data Structures and Algorithms · Computer Science 2024-07-08 Ilias Diakonikolas , Daniel M. Kane , Sushrut Karmalkar , Ankit Pensia , Thanasis Pittas

Machine learning systems increasingly face requirements to remove entire domains of information--such as toxic language or biases--rather than individual user data. This task presents a dilemma: full removal of the unwanted domain data is…

Machine Learning · Computer Science 2026-01-15 Youssef Allouah , Rachid Guerraoui , Sanmi Koyejo

A wide range of symbolic analysis and optimization problems can be formalized using polyhedra. Sub-classes of polyhedra, also known as sub-polyhedral domains, are sought for their lower space and time complexity. We introduce the Strided…

Symbolic Computation · Computer Science 2024-07-08 Arjun Pitchanathan , Albert Cohen , Oleksandr Zinenko , Tobias Grosser

Given labeled instances on a source domain and unlabeled ones on a target domain, unsupervised domain adaptation aims to learn a task classifier that can well classify target instances. Recent advances rely on domain-adversarial training of…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Hui Tang , Kui Jia

We study agnostic active learning, where the goal is to learn a classifier in a pre-specified hypothesis class interactively with as few label queries as possible, while making no assumptions on the true function generating the labels. The…

Machine Learning · Computer Science 2014-07-15 Chicheng Zhang , Kamalika Chaudhuri

Grammatical inference is concerned with the study of algorithms for learning automata and grammars from words. We focus on learning Nondeterministic Finite Automaton of size k from samples of words. To this end, we formulate the problem as…

Logic in Computer Science · Computer Science 2021-07-15 Frédéric Lardeux , Eric Monfroy