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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

Weighted finite automata (WFA) can expressively model functions defined over strings but are inherently linear models. Given the recent successes of nonlinear models in machine learning, it is natural to wonder whether ex-tending WFA to the…

Formal Languages and Automata Theory · Computer Science 2017-12-22 Tianyu Li , Guillaume Rabusseau , Doina Precup

We present a method to extract a weighted finite automaton (WFA) from a recurrent neural network (RNN). Our algorithm is based on the WFA learning algorithm by Balle and Mohri, which is in turn an extension of Angluin's classic \lstar…

Machine Learning · Computer Science 2019-11-21 Takamasa Okudono , Masaki Waga , Taro Sekiyama , Ichiro Hasuo

Despite the tremendous empirical success of neural models in natural language processing, many of them lack the strong intuitions that accompany classical machine learning approaches. Recently, connections have been shown between…

Computation and Language · Computer Science 2018-08-29 Hao Peng , Roy Schwartz , Sam Thomson , Noah A. Smith

This paper is an attempt to bridge the gap between deep learning and grammatical inference. Indeed, it provides an algorithm to extract a (stochastic) formal language from any recurrent neural network trained for language modelling. In…

Machine Learning · Computer Science 2020-09-29 Remi Eyraud , Stephane Ayache

Recurrent Neural Networks (RNNs) have achieved tremendous success in processing sequential data, yet understanding and analyzing their behaviours remains a significant challenge. To this end, many efforts have been made to extract finite…

Computation and Language · Computer Science 2023-06-27 Zeming Wei , Xiyue Zhang , Yihao Zhang , Meng Sun

Understanding how a learned black box works is of crucial interest for the future of Machine Learning. In this paper, we pioneer the question of the global interpretability of learned black box models that assign numerical values to…

Machine Learning · Computer Science 2018-10-16 Stephane Ayache , Remi Eyraud , Noe Goudian

Recurrent Neural Networks (RNN) are a type of statistical model designed to handle sequential data. The model reads a sequence one symbol at a time. Each symbol is processed based on information collected from the previous symbols. With…

Machine Learning · Statistics 2019-02-18 Jared Ostmeyer , Lindsay Cowell

Recurrent Neural Networks (RNNs) are general-purpose parallel-sequential computers. The program of an RNN is its weight matrix. How to learn useful representations of RNN weights that facilitate RNN analysis as well as downstream tasks?…

Machine Learning · Computer Science 2025-04-30 Vincent Herrmann , Francesco Faccio , Jürgen Schmidhuber

We study the problem of constructing approximations to a weighted automaton. Weighted finite automata (WFA) are closely related to the theory of rational series. A rational series is a function from strings to real numbers that can be…

Formal Languages and Automata Theory · Computer Science 2015-04-27 Borja Balle , Prakash Panangaden , Doina Precup

Recurrent Neural Networks (RNNs) have achieved tremendous success in sequential data processing. However, it is quite challenging to interpret and verify RNNs' behaviors directly. To this end, many efforts have been made to extract finite…

Computation and Language · Computer Science 2022-09-28 Zeming Wei , Xiyue Zhang , Meng Sun

We present an SMT-based active learning algorithm for nondeterministic weighted automata (WFAs) as a practical and robust alternative to Hankel/L*-style methods. Our algorithm is parametric in a given semiring and, if it terminates,…

Formal Languages and Automata Theory · Computer Science 2026-05-11 Tiago Ferreira , Kevin Batz , Alexandra Silva

We consider the problem of training input-output recurrent neural networks (RNN) for sequence labeling tasks. We propose a novel spectral approach for learning the network parameters. It is based on decomposition of the cross-moment tensor…

Machine Learning · Computer Science 2016-11-01 Hanie Sedghi , Anima Anandkumar

Convolutional neural network (CNN) and recurrent neural network (RNN) are two popular architectures used in text classification. Traditional methods to combine the strengths of the two networks rely on streamlining them or concatenating…

Computation and Language · Computer Science 2020-06-30 Shengfei Lyu , Jiaqi Liu

We discuss relations between Residual Networks (ResNet), Recurrent Neural Networks (RNNs) and the primate visual cortex. We begin with the observation that a special type of shallow RNN is exactly equivalent to a very deep ResNet with…

Machine Learning · Computer Science 2021-01-05 Qianli Liao , Tomaso Poggio

Neural Tensor Networks (NTNs), which are structured to encode the degree of relationship among pairs of entities, are used in Logic Tensor Networks (LTNs) to facilitate Statistical Relational Learning (SRL) in first-order logic. In this…

Machine Learning · Computer Science 2020-10-07 Jinyung Hong , Theodore P. Pavlic

Transformers are ubiquitous models in the natural language processing (NLP) community and have shown impressive empirical successes in the past few years. However, little is understood about how they reason and the limits of their…

Computation and Language · Computer Science 2024-03-18 Michael Rizvi , Maude Lizaire , Clara Lacroce , Guillaume Rabusseau

Insects, such as fruit flies and honey bees, can solve simple associative learning tasks and learn abstract concepts such as "sameness" and "difference", which is viewed as a higher-order cognitive function and typically thought to depend…

Computer Vision and Pattern Recognition · Computer Science 2021-09-15 Jinyung Hong , Theodore P. Pavlic

We investigate the internal representations that a recurrent neural network (RNN) uses while learning to recognize a regular formal language. Specifically, we train a RNN on positive and negative examples from a regular language, and ask if…

Machine Learning · Computer Science 2019-02-28 Joshua J. Michalenko , Ameesh Shah , Abhinav Verma , Richard G. Baraniuk , Swarat Chaudhuri , Ankit B. Patel

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Roberto Capobianco
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