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We address the approximate minimization problem for weighted finite automata (WFAs) with weights in $\mathbb{R}$, over a one-letter alphabet: to compute the best possible approximation of a WFA given a bound on the number of states. This…

Formal Languages and Automata Theory · Computer Science 2021-05-18 Borja Balle , Clara Lacroce , Prakash Panangaden , Doina Precup , Guillaume Rabusseau

Many methods for the verification of complex computer systems require the existence of a tractable mathematical abstraction of the system, often in the form of an automaton. In reality, however, such a model is hard to come up with, in…

Formal Languages and Automata Theory · Computer Science 2023-08-09 Stefan Zetzsche

We introduce and study the repetitive variants of the deterministic and the nondeterministic finite automaton with translucent words (DFAwtw and NFAwtw). On seeing the right sentinel, a repetitive NFAwtw need not halt immediately, accepting…

Formal Languages and Automata Theory · Computer Science 2025-07-22 František Mráz , Friedrich Otto

Differentiable Filters, as recursive Bayesian estimators, possess the ability to learn complex dynamics by deriving state transition and measurement models exclusively from data. This data-driven approach eliminates the reliance on explicit…

Robotics · Computer Science 2023-11-14 Xiao Liu , Yifan Zhou , Shuhei Ikemoto , Heni Ben Amor

The machine translation mechanism translates texts automatically between different natural languages, and Neural Machine Translation (NMT) has gained attention for its rational context analysis and fluent translation accuracy. However,…

Computation and Language · Computer Science 2023-01-03 Neeraj Vashistha , Kriti Singh , Ramakant Shakya

This paper considers finite-automata based algorithms for handling linear arithmetic with both real and integer variables. Previous work has shown that this theory can be dealt with by using finite automata on infinite words, but this…

Logic in Computer Science · Computer Science 2007-05-23 Bernard Boigelot , Sebastien Jodogne , Pierre Wolper

Example weighting algorithm is an effective solution to the training bias problem, however, most previous typical methods are usually limited to human knowledge and require laborious tuning of hyperparameters. In this paper, we propose a…

Machine Learning · Computer Science 2019-11-27 Zhenmao Li , Yichao Wu , Ken Chen , Yudong Wu , Shunfeng Zhou , Jiaheng Liu , Junjie Yan

Weighted finite automata (WFA) are often used to represent probabilistic models, such as $n$-gram language models, since they are efficient for recognition tasks in time and space. The probabilistic source to be represented as a WFA,…

Computation and Language · Computer Science 2021-02-01 Ananda Theertha Suresh , Brian Roark , Michael Riley , Vlad Schogol

Recently, quantization has been widely used for the compression and acceleration of large language models (LLMs). Due to the outliers in LLMs, it is crucial to flatten weights and activations to minimize quantization error with equally…

Computation and Language · Computer Science 2025-08-12 Yuxuan Sun , Ruikang Liu , Haoli Bai , Han Bao , Kang Zhao , Yuening Li , Jiaxin Hu , Xianzhi Yu , Lu Hou , Chun Yuan , Xin Jiang , Wulong Liu , Jun Yao

Learning latent features from time series data is an important problem in both machine learning and brain function. One approach, called Slow Feature Analysis (SFA), leverages the slowness of many salient features relative to the rapidly…

Neurons and Cognition · Quantitative Biology 2020-10-27 David Lipshutz , Charlie Windolf , Siavash Golkar , Dmitri B. Chklovskii

We study unbinned multivariate analysis techniques, based on Statistical Learning, for indirect new physics searches at the LHC in the Effective Field Theory framework. We focus in particular on high-energy $ZW$ production with fully…

High Energy Physics - Phenomenology · Physics 2023-01-11 Siyu Chen , Alfredo Glioti , Giuliano Panico , Andrea Wulzer

We present a new algorithm IDS for incremental learning of deterministic finite automata (DFA). This algorithm is based on the concept of distinguishing sequences introduced in (Angluin81). We give a rigorous proof that two versions of this…

Machine Learning · Computer Science 2012-06-14 Muddassar A. Sindhu , Karl Meinke

This paper presents a novel deep learning framework for robotic arm manipulation that integrates multimodal inputs using a late-fusion strategy. Unlike traditional end-to-end or reinforcement learning approaches, our method processes image…

Machine Learning · Computer Science 2025-04-07 Sathish Kumar , Swaroop Damodaran , Naveen Kumar Kuruba , Sumit Jha , Arvind Ramanathan

We present an algorithm for extraction of a probabilistic deterministic finite automaton (PDFA) from a given black-box language model, such as a recurrent neural network (RNN). The algorithm is a variant of the exact-learning algorithm L*,…

Machine Learning · Computer Science 2020-01-01 Gail Weiss , Yoav Goldberg , Eran Yahav

We use a non-deterministic variant of storage types to develop a framework for the approximation of automata with storage. This framework is used to provide automata-theoretic views on the approximation of multiple context-free languages…

Formal Languages and Automata Theory · Computer Science 2017-09-08 Tobias Denkinger

Prevalent semantic segmentation solutions, despite their different network designs (FCN based or attention based) and mask decoding strategies (parametric softmax based or pixel-query based), can be placed in one category, by considering…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Tianfei Zhou , Wenguan Wang , Ender Konukoglu , Luc Van Gool

This paper introduces a new algorithm for the induction if complex finite state automata from samples of behavior. The algorithm is based on information theoretic principles. The algorithm reduces the search space by many orders of…

Artificial Intelligence · Computer Science 2013-02-08 Matthew S. Collins , Jonathan Oliver

Weighted Model Integration (WMI) is a popular formalism aimed at unifying approaches for probabilistic inference in hybrid domains, involving logical and algebraic constraints. Despite a considerable amount of recent work, allowing WMI…

Artificial Intelligence · Computer Science 2022-06-29 Giuseppe Spallitta , Gabriele Masina , Paolo Morettin , Andrea Passerini , Roberto Sebastiani

Foundation models have shown great success in natural language processing, computer vision, and multimodal tasks. FMs have a large number of model parameters, thus requiring a substantial amount of data to help optimize the model during the…

Machine Learning · Computer Science 2023-12-27 Panlong Wu , Kangshuo Li , Ting Wang , Fangxin Wang

We prove that Moore machines can be exactly realized as state-space models (SSMs), establishing a formal correspondence between symbolic automata and these continuous machine learning architectures. These Moore-SSMs preserve both the…

Machine Learning · Computer Science 2026-03-09 William Fishell , Sam Nicholas Kouteili , Mark Santolucito