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Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

Machine Learning · Computer Science 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

We propose a statistical adaptive procedure called SALSA for automatically scheduling the learning rate (step size) in stochastic gradient methods. SALSA first uses a smoothed stochastic line-search procedure to gradually increase the…

Machine Learning · Statistics 2020-02-26 Pengchuan Zhang , Hunter Lang , Qiang Liu , Lin Xiao

In this paper, we describe a new method for constructing minimal, deterministic, acyclic finite-state automata from a set of strings. Traditional methods consist of two phases: the first to construct a trie, the second one to minimize it.…

Computation and Language · Computer Science 2007-05-23 Jan Daciuk , Stoyan Mihov , Bruce Watson , Richard Watson

Linear attention offers a linear-time alternative to self-attention but often struggles to capture long-range patterns. We revisit linear attention through a prediction-correction lens and show that prevalent variants can be written as a…

Machine Learning · Computer Science 2025-10-01 Xunhao Lai , Jialiang Kang , Jianqiao Lu , Tong Lin , Pengyu Zhao

We present a supervised learning method to learn the propagator map of a dynamical system from partial and noisy observations. In our computationally cheap and easy-to-implement framework a neural network consisting of random feature maps…

Machine Learning · Computer Science 2021-10-27 Georg A. Gottwald , Sebastian Reich

In this paper, we present connections between three models used in different research fields: weighted finite automata~(WFA) from formal languages and linguistics, recurrent neural networks used in machine learning, and tensor networks…

Machine Learning · Computer Science 2022-01-10 Tianyu Li , Doina Precup , Guillaume Rabusseau

Automata learning has many applications in artificial intelligence and software engineering. Central to these applications is the $L^*$ algorithm, introduced by Angluin. The $L^*$ algorithm learns deterministic finite-state automata (DFAs)…

Machine Learning · Computer Science 2025-11-18 Sebastian Hagedorn , Martín Muñoz , Cristian Riveros , Rodrigo Toro Icarte

Federated learning is a distributed paradigm that aims at training models using samples distributed across multiple users in a network while keeping the samples on users' devices with the aim of efficiency and protecting users privacy. In…

Machine Learning · Computer Science 2020-06-17 Amirhossein Reisizadeh , Farzan Farnia , Ramtin Pedarsani , Ali Jadbabaie

Query optimizers are a performance-critical component in every database system. Due to their complexity, optimizers take experts months to write and years to refine. In this work, we demonstrate for the first time that learning to optimize…

Databases · Computer Science 2022-05-05 Zongheng Yang , Wei-Lin Chiang , Sifei Luan , Gautam Mittal , Michael Luo , Ion Stoica

It is well-established that many iterative sparse reconstruction algorithms can be unrolled to yield a learnable neural network for improved empirical performance. A prime example is learned ISTA (LISTA) where weights, step sizes and…

Machine Learning · Computer Science 2020-10-06 Freya Behrens , Jonathan Sauder , Peter Jung

In this paper, we propose and investigate algorithms for the structured orthogonal dictionary learning problem. First, we investigate the case when the dictionary is a Householder matrix. We give sample complexity results and show…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Anirudh Dash , Aditya Siripuram

We present an extended automata learning framework that combines active automata learning with deductive inference. The learning algorithm asks membership and equivalence queries as in the original framework, but it is also given advice,…

Formal Languages and Automata Theory · Computer Science 2025-08-15 Michał Fica , Jan Otop

We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems. These techniques are designed to elucidate emergent phenomena within intricate systems of interacting agents.…

Machine Learning · Computer Science 2024-04-08 Jinchao Feng , Ming Zhong

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

Machine Learning · Computer Science 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

Learning to follow human instructions is a long-pursued goal in artificial intelligence. The task becomes particularly challenging if no prior knowledge of the employed language is assumed while relying only on a handful of examples to…

Computation and Language · Computer Science 2019-04-03 Rezka Leonandya , Elia Bruni , Dieuwke Hupkes , Germán Kruszewski

Dynamic obstacle avoidance (DOA) is a fundamental challenge for any autonomous vehicle, independent of whether it operates in sea, air, or land. This paper proposes a two-step architecture for handling DOA tasks by combining supervised and…

Robotics · Computer Science 2024-08-20 Fabian Hart , Martin Waltz , Ostap Okhrin

This work provides simple algorithms for multi-class (and multi-label) prediction in settings where both the number of examples n and the data dimension d are relatively large. These robust and parameter free algorithms are essentially…

Machine Learning · Computer Science 2013-10-22 Alekh Agarwal , Sham M. Kakade , Nikos Karampatziakis , Le Song , Gregory Valiant

State reduction of finite automata plays a significant role in improving efficiency in formal verification, pattern recognition, and machine learning, where automata-based models are widely used. While deterministic automata have…

Formal Languages and Automata Theory · Computer Science 2025-12-09 Linh Anh Nguyen , Son Thanh Cao , Stefan Stanimirović

In this paper we present ISA, an approach for learning and exploiting subgoals in episodic reinforcement learning (RL) tasks. ISA interleaves reinforcement learning with the induction of a subgoal automaton, an automaton whose edges are…

Artificial Intelligence · Computer Science 2021-03-18 Daniel Furelos-Blanco , Mark Law , Anders Jonsson , Krysia Broda , Alessandra Russo

We study the robustness of reinforcement learning (RL) with adversarially perturbed state observations, which aligns with the setting of many adversarial attacks to deep reinforcement learning (DRL) and is also important for rolling out…

Machine Learning · Computer Science 2021-01-22 Huan Zhang , Hongge Chen , Duane Boning , Cho-Jui Hsieh
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