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Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

Machine Learning · Statistics 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis

This work aims to introduce a heuristic timestep-adaptive algorithm for Computational Fluid Dynamics (CFD) and Fluid-Structure Interaction (FSI) problems where the flow is dominated by the pressure. In such scenarios, many time-adaptive…

Numerical Analysis · Mathematics 2024-07-02 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

We tackle the problem of the randomized generation of slowly synchronizing deterministic automata (DFAs) by generating random primitive sets of matrices. We show that when the randomized procedure is too simple the exponent of the generated…

Formal Languages and Automata Theory · Computer Science 2018-10-29 Costanza Catalano , Raphaël M. Jungers

Training and deploying deepfake detection models on edge devices offers the advantage of maintaining data privacy and confidentiality by processing it close to its source. However, this approach is constrained by the limited computational…

Machine Learning · Computer Science 2025-05-01 Andreas Karathanasis , John Violos , Ioannis Kompatsiaris , Symeon Papadopoulos

In this paper, we develop an algorithm for federated principal component analysis (PCA) with emphases on both communication efficiency and data privacy. Generally speaking, federated PCA algorithms based on direct adaptations of classic…

Optimization and Control · Mathematics 2024-10-29 Lei Wang , Xin Liu , Yin Zhang

Let PT-DFA mean a deterministic finite automaton whose transition relation is a partial function. We present an algorithm for minimizing a PT-DFA in $O(m \lg n)$ time and $O(m+n+\alpha)$ memory, where $n$ is the number of states, $m$ is the…

Information Theory · Computer Science 2008-02-21 Antti Valmari , Petri Lehtinen

Fast identification of new network attack patterns is crucial for improving network security. Nevertheless, identifying an ongoing attack in a heterogeneous network is a non-trivial task. Federated learning emerges as a solution to…

Cryptography and Security · Computer Science 2022-05-25 Helio N. Cunha Neto , Ivana Dusparic , Diogo M. F. Mattos , Natalia C. Fernandes

The problem of k-minimisation for a DFA M is the computation of a smallest DFA N (where the size |M| of a DFA M is the size of the domain of the transition function) such that their recognized languages differ only on words of length less…

Formal Languages and Automata Theory · Computer Science 2011-03-01 Paweł Gawrychowski , Artur Jeż , Andreas Maletti

We introduce deterministic suffix-reading automata (DSA), a new automaton model over finite words. Transitions in a DSA are labeled with words. From a state, a DSA triggers an outgoing transition on seeing a word ending with the…

Formal Languages and Automata Theory · Computer Science 2026-05-13 R Keerthan , B Srivathsan , R Venkatesh , Sagar Verma

Model compression methods can reduce model complexity on the premise of maintaining acceptable performance, and thus promote the application of deep neural networks under resource constrained environments. Despite their great success, the…

Machine Learning · Computer Science 2024-07-25 Chunnan Wang , Hongzhi Wang , Xiangyu Shi

In this work, we propose an abstraction and refinement methodology for the controller synthesis of discrete-time stochastic systems to enforce complex logical properties expressed by deterministic finite automata (a.k.a. DFA). Our proposed…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Bingzhuo Zhong , Abolfazl Lavaei , Majid Zamani , Marco Caccamo

In this paper, we study communication efficient distributed algorithms for distributionally robust federated learning via periodic averaging with adaptive sampling. In contrast to standard empirical risk minimization, due to the minimax…

Machine Learning · Computer Science 2021-02-26 Yuyang Deng , Mohammad Mahdi Kamani , Mehrdad Mahdavi

The paper introduces a new technique for compressing Binary Decision Diagrams in those cases where random access is not required. Using this technique, compression and decompression can be done in linear time in the size of the BDD and…

Artificial Intelligence · Computer Science 2008-12-18 Esben Rune Hansen , S. Srinivasa Rao , Peter Tiedemann

Implementing machine learning algorithms on Internet of things (IoT) devices has become essential for emerging applications, such as autonomous driving, environment monitoring. But the limitations of computation capability and energy…

Information Theory · Computer Science 2020-05-26 Xiufeng Huang , Sheng Zhou

We present a formal and constructive simulation framework for nondeterministic finite automata (NFAs) using time-shared, depth-unrolled feedforward networks (TS-FFNs), i.e., acyclic unrolled computations with shared parameters that are…

Machine Learning · Computer Science 2025-10-13 Sahil Rajesh Dhayalkar

This paper considers the existence of short synchronizing words in deterministic finite automata (DFAs). We define two general strategies for generating synchronizing words, and we show that each of these strategies can be applied if and…

Formal Languages and Automata Theory · Computer Science 2025-08-22 Peter Bradshaw , Alexander Clow , Ladislav Stacho

Dense retrievers powered by pretrained embeddings are widely used for document retrieval but struggle in specialized domains due to the mismatches between the training and target domain distributions. Domain adaptation typically requires…

Information Retrieval · Computer Science 2026-01-21 Chunsheng Zuo , Daniel Khashabi

We introduce a quantum-like classical computational model, called affine computation, as a generalization of probabilistic computation. After giving the basics of affine computation, we define affine finite automata (AfA) and compare it…

Formal Languages and Automata Theory · Computer Science 2016-06-07 Alejandro Díaz-Caro , Abuzer Yakaryılmaz

Unlike traditional distributed machine learning, federated learning stores data locally for training and then aggregates the models on the server, which solves the data security problem that may arise in traditional distributed machine…

Machine Learning · Computer Science 2023-01-02 Wan Jiang , Gang Liu , Xiaofeng Chen , Yipeng Zhou

We propose an efficient algorithm for determinising counting automata (CAs), i.e., finite automata extended with bounded counters. The algorithm avoids unfolding counters into control states, unlike the na\"ive approach, and thus produces…

Formal Languages and Automata Theory · Computer Science 2019-10-07 Lukáš Holík , Ondřej Lengál , Olli Saarikivi , Lenka Turoňová , Margus Veanes , Tomáš Vojnar
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