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We introduce a novel framework of reservoir computing, that is capable of both connectionist machine intelligence and symbolic computation. Cellular automaton is used as the reservoir of dynamical systems. Input is randomly projected onto…

Emerging Technologies · Computer Science 2015-04-27 Ozgur Yilmaz

The effectiveness of recurrent neural networks can be largely influenced by their ability to store into their dynamical memory information extracted from input sequences at different frequencies and timescales. Such a feature can be…

Machine Learning · Computer Science 2020-07-01 Antonio Carta , Alessandro Sperduti , Davide Bacciu

Neural population activity is theorized to reflect an underlying dynamical structure. This structure can be accurately captured using state space models with explicit dynamics, such as those based on recurrent neural networks (RNNs).…

Neurons and Cognition · Quantitative Biology 2023-07-21 Joel Ye , Chethan Pandarinath

Modern neural network architectures still struggle to learn algorithmic procedures that require to systematically apply compositional rules to solve out-of-distribution problem instances. In this work, we focus on formula simplification…

Neural and Evolutionary Computing · Computer Science 2024-07-15 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

In certain situations, neural networks will represent environment states in their hidden activations. Our goal is to visualize what environment states the networks are representing. We experiment with a recurrent neural network (RNN)…

Machine Learning · Computer Science 2024-05-13 Nevan Wichers , Victor Tao , Riccardo Volpato , Fazl Barez

Neural networks are powerful function estimators, leading to their status as a paradigm of choice for modeling structured data. However, unlike other structured representations that emphasize the modularity of the problem -- e.g., factor…

Machine Learning · Computer Science 2022-06-20 Tsvetomila Mihaylova , Vlad Niculae , André F. T. Martins

Modern generative machine learning models demonstrate surprising ability to create realistic outputs far beyond their training data, such as photorealistic artwork, accurate protein structures, or conversational text. These successes…

Machine Learning · Computer Science 2024-01-17 William Gilpin

Symbolic regression is a powerful technique that can discover analytical equations that describe data, which can lead to explainable models and generalizability outside of the training data set. In contrast, neural networks have achieved…

Machine Learning · Computer Science 2022-03-10 Samuel Kim , Peter Y. Lu , Srijon Mukherjee , Michael Gilbert , Li Jing , Vladimir Čeperić , Marin Soljačić

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

In this paper, we informally introduce dynamic mind-maps that represent a new approach on the basis of a dynamic construction of connectionist structures during the processing of a data stream. This allows the representation and processing…

Neural and Evolutionary Computing · Computer Science 2008-12-18 Christoph Schommer

Dynamics play a critical role in computation. The principled evolution of states over time enables both biological and artificial networks to represent and integrate information to make decisions. In the past few decades, significant…

Neurons and Cognition · Quantitative Biology 2023-11-28 Jason Z. Kim , Bart Larsen , Linden Parkes

Modular meta-learning is a new framework that generalizes to unseen datasets by combining a small set of neural modules in different ways. In this work we propose abstract graph networks: using graphs as abstractions of a system's subparts…

Machine Learning · Computer Science 2018-12-20 Ferran Alet , Maria Bauza , Alberto Rodriguez , Tomas Lozano-Perez , Leslie P. Kaelbling

Deep learning architectures based on convolutional neural networks tend to rely on continuous, smooth features. While this characteristics provides significant robustness and proves useful in many real-world tasks, it is strikingly…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zuzanna Buchnajzer , Kacper Dobek , Stanisław Hapke , Daniel Jankowski , Krzysztof Krawiec

The integration of Deep Learning (DL) in System Dynamics (SD) modeling for transportation logistics offers significant advantages in scalability and predictive accuracy. However, these gains are often offset by the loss of explainability…

Artificial Intelligence · Computer Science 2025-09-11 Riccardo D'Elia , Alberto Termine , Francesco Flammini

Recurrent neural networks (RNNs) are powerful dynamical models, widely used in machine learning (ML) and neuroscience. Prior theoretical work has focused on RNNs with additive interactions. However, gating - i.e. multiplicative -…

Disordered Systems and Neural Networks · Physics 2021-12-02 Kamesh Krishnamurthy , Tankut Can , David J. Schwab

Rich semantic relations are important in a variety of visual recognition problems. As a concrete example, group activity recognition involves the interactions and relative spatial relations of a set of people in a scene. State of the art…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Zhiwei Deng , Arash Vahdat , Hexiang Hu , Greg Mori

Representation is a core issue in artificial intelligence. Humans use discrete language to communicate and learn from each other, while machines use continuous features (like vector, matrix, or tensor in deep neural networks) to represent…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Yuqi Wang , Xu-Yao Zhang , Cheng-Lin Liu , Zhaoxiang Zhang

A variety of modeling frameworks have been proposed and utilized in complex systems studies, including dynamical systems models that describe state transitions on a system of fixed topology, and self-organizing network models that describe…

Adaptation and Self-Organizing Systems · Physics 2009-01-05 Hiroki Sayama , Craig Laramee

There is a concerted effort to build domain-general artificial intelligence in the form of universal neural network models with sufficient computational flexibility to solve a wide variety of cognitive tasks but without requiring…

Neural and Evolutionary Computing · Computer Science 2023-03-27 Jascha Achterberg , Danyal Akarca , Moataz Assem , Moritz Heimbach , Duncan E. Astle , John Duncan

We provide a unifying framework where artificial neural networks and their architectures can be formally described as particular cases of a general mathematical construction--machines of finite depth. Unlike neural networks, machines have a…

Machine Learning · Computer Science 2022-04-28 Pietro Vertechi , Mattia G. Bergomi