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Recurrent neural networks (RNNs) are a widely used tool for modeling sequential data, yet they are often treated as inscrutable black boxes. Given a trained recurrent network, we would like to reverse engineer it--to obtain a quantitative,…

Machine Learning · Computer Science 2019-12-06 Niru Maheswaranathan , Alex Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

As the discipline has evolved, research in machine learning has been focused more and more on creating more powerful neural networks, without regard for the interpretability of these networks. Such "black-box models" yield state-of-the-art…

Machine Learning · Computer Science 2021-09-02 Lachlan O'Neill , Simon Angus , Satya Borgohain , Nader Chmait , David L. Dowe

This research is to search for alternatives to the resolution of complex medical diagnosis where human knowledge should be apprehended in a general fashion. Successful application examples show that human diagnostic capabilities are…

Neural and Evolutionary Computing · Computer Science 2010-09-28 Abu Bakar Siddiquee , Md. Ehsanul Hoque Mazumder , S. M. Kamruzzaman

Implicit deep learning prediction rules generalize the recursive rules of feedforward neural networks. Such rules are based on the solution of a fixed-point equation involving a single vector of hidden features, which is thus only…

Machine Learning · Computer Science 2020-08-10 Laurent El Ghaoui , Fangda Gu , Bertrand Travacca , Armin Askari , Alicia Y. Tsai

The limitations of purely neural learning have sparked an interest in probabilistic neurosymbolic models, which combine neural networks with probabilistic logical reasoning. As these neurosymbolic models are trained with gradient descent,…

Machine Learning · Computer Science 2024-06-10 Jaron Maene , Vincent Derkinderen , Luc De Raedt

We develop a theoretical analysis for special neural network architectures, termed operator recurrent neural networks, for approximating nonlinear functions whose inputs are linear operators. Such functions commonly arise in solution…

Optimization and Control · Mathematics 2022-01-05 Maarten V. de Hoop , Matti Lassas , Christopher A. Wong

In studying the expressiveness of neural networks, an important question is whether there are functions which can only be approximated by sufficiently deep networks, assuming their size is bounded. However, for constant depths, existing…

Machine Learning · Computer Science 2020-12-29 Gal Vardi , Ohad Shamir

We study expressivity of Markov logic networks (MLNs). We introduce complex MLNs, which use complex-valued weights, and we show that, unlike standard MLNs with real-valued weights, complex MLNs are fully expressive. We then observe that…

Artificial Intelligence · Computer Science 2020-07-17 Ondrej Kuzelka

Rule-based explanation methods offer rigorous and globally interpretable insights into neural network behavior. However, existing approaches are mostly limited to small fully connected networks and depend on costly layerwise rule extraction…

Machine Learning · Computer Science 2025-10-16 Chuqin Geng , Anqi Xing , Li Zhang , Ziyu Zhao , Yuhe Jiang , Xujie Si

We propose a new approach to the problem of neural network expressivity, which seeks to characterize how structural properties of a neural network family affect the functions it is able to compute. Our approach is based on an interrelated…

Machine Learning · Statistics 2017-06-20 Maithra Raghu , Ben Poole , Jon Kleinberg , Surya Ganguli , Jascha Sohl-Dickstein

Deep convolutional neural network (CNN) inference requires significant amount of memory and computation, which limits its deployment on embedded devices. To alleviate these problems to some extent, prior research utilize low precision…

Machine Learning · Computer Science 2017-03-10 Liangzhen Lai , Naveen Suda , Vikas Chandra

We revisit evaluation of logical formulas that allow both uninterpreted relations, constrained to be finite, as well as an interpreted vocabulary over an infinite domain. This formalism was denoted embedded finite model theory in the past.…

Logic in Computer Science · Computer Science 2024-05-22 Michael Benedikt , Ehud Hrushovski

Neural networks are becoming a popular tool for solving many real-world problems such as object recognition and machine translation, thanks to its exceptional performance as an end-to-end solution. However, neural networks are complex…

Machine Learning · Computer Science 2020-09-29 Guoliang Dong , Jingyi Wang , Jun Sun , Yang Zhang , Xinyu Wang , Ting Dai , Jin Song Dong , Xingen Wang

Recent years have seen a paradigm shift in NLP towards using pretrained language models ({PLM}) for a wide range of tasks. However, there are many difficult design decisions to represent structures (e.g. tagged text, coreference chains) in…

Computation and Language · Computer Science 2022-11-18 Tianyu Liu , Yuchen Jiang , Nicholas Monath , Ryan Cotterell , Mrinmaya Sachan

Interpretability is crucial for ensuring RL systems align with human values. However, it remains challenging to achieve in complex decision making domains. Existing methods frequently attempt interpretability at the level of fundamental…

Machine Learning · Computer Science 2025-06-03 Anna Soligo , Pietro Ferraro , David Boyle

Expressive text encoders such as RNNs and Transformer Networks have been at the center of NLP models in recent work. Most of the effort has focused on sentence-level tasks, capturing the dependencies between words in a single sentence, or…

Computation and Language · Computer Science 2021-09-15 Manuel Widmoser , Maria Leonor Pacheco , Jean Honorio , Dan Goldwasser

Gradual argumentation frameworks represent arguments and their relationships in a weighted graph. Their graphical structure and intuitive semantics makes them a potentially interesting tool for interpretable machine learning. It has been…

Machine Learning · Computer Science 2021-06-28 Jonathan Spieler , Nico Potyka , Steffen Staab

As proteins with similar structures often have similar functions, analysis of protein structures can help predict protein functions and is thus important. We consider the problem of protein structure classification, which computationally…

Machine Learning · Statistics 2019-10-08 Hongyu Guo , Khalique Newaz , Scott Emrich , Tijana Milenkovic , Jun Li

Neural networks have in recent years shown promise for helping software engineers write programs and even formally verify them. While semantic information plays a crucial part in these processes, it remains unclear to what degree popular…

Machine Learning · Computer Science 2023-06-27 Shizhuo Dylan Zhang , Curt Tigges , Stella Biderman , Maxim Raginsky , Talia Ringer

We present the multiplicative recurrent neural network as a general model for compositional meaning in language, and evaluate it on the task of fine-grained sentiment analysis. We establish a connection to the previously investigated…

Machine Learning · Computer Science 2015-05-05 Ozan İrsoy , Claire Cardie