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This dissertation reports some first steps towards a compositional account of active inference and the Bayesian brain. Specifically, we use the tools of contemporary applied category theory to supply functorial semantics for approximate…

Neurons and Cognition · Quantitative Biology 2023-12-20 Toby St Clere Smithe

Conceptual combination performs a fundamental role in creating the broad range of compound phrases utilized in everyday language. This article provides a novel probabilistic framework for assessing whether the semantics of conceptual…

Computation and Language · Computer Science 2014-11-24 Peter D. Bruza , Kirsty Kitto , Brentyn J. Ramm , Laurianne Sitbon

Compositional generalization is a basic and essential intellective capability of human beings, which allows us to recombine known parts readily. However, existing neural network based models have been proven to be extremely deficient in…

Artificial Intelligence · Computer Science 2020-10-27 Qian Liu , Shengnan An , Jian-Guang Lou , Bei Chen , Zeqi Lin , Yan Gao , Bin Zhou , Nanning Zheng , Dongmei Zhang

This study develops a calibrated beam-based algorithm with awareness of the global attention distribution for neural abstractive summarization, aiming to improve the local optimality problem of the original beam search in a rigorous way.…

Computation and Language · Computer Science 2021-10-27 Ye Ma , Zixun Lan , Lu Zong , Kaizhu Huang

What explains the dramatic progress from 20th-century to 21st-century AI, and how can the remaining limitations of current AI be overcome? The widely accepted narrative attributes this progress to massive increases in the quantity of…

Artificial Intelligence · Computer Science 2022-05-04 Paul Smolensky , R. Thomas McCoy , Roland Fernandez , Matthew Goldrick , Jianfeng Gao

Causal abstraction is a promising theoretical framework for explainable artificial intelligence that defines when an interpretable high-level causal model is a faithful simplification of a low-level deep learning system. However, existing…

Artificial Intelligence · Computer Science 2024-02-23 Atticus Geiger , Zhengxuan Wu , Christopher Potts , Thomas Icard , Noah D. Goodman

This paper presents an unsupervised machine learning algorithm that identifies recurring patterns -- referred to as ``music-words'' -- from symbolic music data. These patterns are fundamental to musical structure and reflect the cognitive…

Operator learning is a rising field of scientific computing where inputs or outputs of a machine learning model are functions defined in infinite-dimensional spaces. In this paper, we introduce NEON (Neural Epistemic Operator Networks), an…

Machine Learning · Computer Science 2026-05-18 Leonardo Ferreira Guilhoto , Paris Perdikaris

Improving the interpretability of deep neural networks has recently gained increased attention, especially when the power of deep learning is leveraged to solve problems in physics. Interpretability helps us understand a model's ability to…

Sound · Computer Science 2023-10-12 Karim Helwani , Erfan Soltanmohammadi , Michael M. Goodwin

Neural decoding may be formulated as dynamic state estimation (filtering) based on point process observations, a generally intractable problem. Numerical sampling techniques are often practically useful for the decoding of real neural data.…

Neurons and Cognition · Quantitative Biology 2019-01-15 Yuval Harel , Ron Meir , Manfred Opper

Despite ample evidence that our concepts, our cognitive architecture, and mathematics itself are all deeply compositional, few models take advantage of this structure. We therefore propose a radically compositional approach to computational…

Neurons and Cognition · Quantitative Biology 2019-11-18 Toby B. St Clere Smithe

To verify and validate networks, it is essential to gain insight into their decisions, limitations as well as possible shortcomings of training data. In this work, we propose a post-hoc, optimization based visual explanation method, which…

Computer Vision and Pattern Recognition · Computer Science 2019-08-08 Jörg Wagner , Jan Mathias Köhler , Tobias Gindele , Leon Hetzel , Jakob Thaddäus Wiedemer , Sven Behnke

We investigate the task of retrieving information from compositional distributed representations formed by Hyperdimensional Computing/Vector Symbolic Architectures and present novel techniques which achieve new information rate bounds.…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Denis Kleyko , Connor Bybee , Ping-Chen Huang , Christopher J. Kymn , Bruno A. Olshausen , E. Paxon Frady , Friedrich T. Sommer

In this paper we present a theoretical analysis of graph-based service composition in terms of its dependency with service discovery. Driven by this analysis we define a composition framework by means of integration with fine-grained I/O…

Artificial Intelligence · Computer Science 2015-02-11 Pablo Rodriguez-Mier , Carlos Pedrinaci , Manuel Lama , Manuel Mucientes

Consider a joint quantum state of a system and its environment. A measurement on the environment induces a decomposition of the system state. Using algorithmic information theory, we define the preparation information of a pure or mixed…

Quantum Physics · Physics 2015-06-26 Andrei N. Soklakov , Ruediger Schack

Humans are expert explorers. Understanding the computational cognitive mechanisms that support this efficiency can advance the study of the human mind and enable more efficient exploration algorithms. We hypothesize that humans explore new…

Machine Learning · Computer Science 2022-03-21 Sugandha Sharma , Aidan Curtis , Marta Kryven , Josh Tenenbaum , Ila Fiete

This work addresses the design of multi-agent coordination through high-order consensus protocols. While first-order consensus strategies are well-studied -- with known robustness to uncertainties such as time delays, time-varying weights,…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Jonas Hansson , Emma Tegling

Many people are interested in taking astonishing photos and sharing with others. Emerging hightech hardware and software facilitate ubiquitousness and functionality of digital photography. Because composition matters in photography,…

Computer Vision and Pattern Recognition · Computer Science 2018-11-13 Farshid Farhat , Mohammad Mahdi Kamani , James Z. Wang

We develop the first approximate inference algorithm for 1-Best (and M-Best) decoding in bidirectional neural sequence models by extending Beam Search (BS) to reason about both forward and backward time dependencies. Beam Search (BS) is a…

Computer Vision and Pattern Recognition · Computer Science 2017-05-25 Qing Sun , Stefan Lee , Dhruv Batra

This paper proposes an algorithm called Forward Composition Propagation (FCP) to explain the predictions of feed-forward neural networks operating on structured classification problems. In the proposed FCP algorithm, each neuron is…

Machine Learning · Computer Science 2023-10-26 Isel Grau , Gonzalo Nápoles , Marilyn Bello , Yamisleydi Salgueiro , Agnieszka Jastrzebska