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We extend the capabilities of neural networks by coupling them to external memory resources, which they can interact with by attentional processes. The combined system is analogous to a Turing Machine or Von Neumann architecture but is…

Neural and Evolutionary Computing · Computer Science 2014-12-11 Alex Graves , Greg Wayne , Ivo Danihelka

We propose Token Turing Machines (TTM), a sequential, autoregressive Transformer model with memory for real-world sequential visual understanding. Our model is inspired by the seminal Neural Turing Machine, and has an external memory…

We introduce a new type of generalized Turing machines (GTMs), which are intended as a tool for the mathematician who studies computability in Analysis. In a single tape cell a GTM can store a symbol, a real number, a continuous real…

Logic · Mathematics 2015-07-01 Nazanin Tavana , Klaus Weihrauch

The Turing Test (TT) checks for human intelligence, rather than any putative general intelligence. It involves repeated interaction requiring learning in the form of adaption to the human conversation partner. It is a macro-level post-hoc…

Artificial Intelligence · Computer Science 2012-10-10 Bruce Edmonds , Carlos Gershenson

So far, following the works of A.M. Turing, the algorithms were considered as the mathematical abstraction from which we could write programs for computers whose principle was based on the theoretical concept of Turing machine. We start…

Computational Complexity · Computer Science 2013-04-23 Marc Bui , Michel Lamure , Ivan Lavallee

Expanding upon the widely recognized notion of mathematical universality in Turing machines, a concept of thermodynamic universality in Turing machines is introduced. Under the physical Church-Turing thesis, the existence of a…

Computational Complexity · Computer Science 2023-08-07 Jihai Zhu

Language models now provide an interface to express and often solve general problems in natural language, yet their ultimate computational capabilities remain a major topic of scientific debate. Unlike a formal computer, a language model is…

Computation and Language · Computer Science 2026-02-11 Alex Lewandowski , Marlos C. Machado , Dale Schuurmans

A remarkable new definition of a self-delimiting universal Turing machine is presented that is easy to program and runs very quickly. This provides a new foundation for algorithmic information theory. This new universal Turing machine is…

chao-dyn · Physics 2008-02-03 G. J. Chaitin

Recently machine learning using neural networks (NN) has been developed, and many new methods have been suggested. These methods are optimized for the type of input data and work very effectively, but they cannot be used with any kind of…

Machine Learning · Computer Science 2022-04-26 Taisuke Katayose

We introduce the Neural Field Turing Machine (NFTM), a differentiable architecture that unifies symbolic computation, physical simulation, and perceptual inference within continuous spatial fields. NFTM combines a neural controller,…

Neural and Evolutionary Computing · Computer Science 2025-09-04 Akash Malhotra , Nacéra Seghouani

Self-replication is central to all life, and yet how it dynamically emerges in physical, non-equilibrium systems remains poorly understood. Von Neumann's pioneering work in the 1940s and subsequent developments suggest a natural hypothesis:…

Cellular Automata and Lattice Gases · Physics 2025-10-10 Jordan Cotler , Clément Hongler , Barbora Hudcová

We show that transformer-based large language models are computationally universal when augmented with an external memory. Any deterministic language model that conditions on strings of bounded length is equivalent to a finite automaton,…

Computation and Language · Computer Science 2023-01-12 Dale Schuurmans

Neural Turing Machines (NTMs) are an instance of Memory Augmented Neural Networks, a new class of recurrent neural networks which decouple computation from memory by introducing an external memory unit. NTMs have demonstrated superior…

Machine Learning · Computer Science 2018-08-21 Mark Collier , Joeran Beel

This paper goes back to Turing (1936) and treats his machine as a cognitive model (W,D,B), where W is an "external world" represented by memory device (the tape divided into squares), and (D,B) is a simple robot that consists of the…

Artificial Intelligence · Computer Science 2007-05-23 Victor Eliashberg

There are enormous amount of examples of Computation in nature, exemplified across multiple species in biology. One crucial aim for these computations across all life forms their ability to learn and thereby increase the chance of their…

Machine Learning · Computer Science 2013-12-30 Nabarun Mondal , Partha P. Ghosh

Learning an algorithm from examples is a fundamental problem that has been widely studied. Recently it has been addressed using neural networks, in particular by Neural Turing Machines (NTMs). These are fully differentiable computers that…

Machine Learning · Computer Science 2016-03-16 Łukasz Kaiser , Ilya Sutskever

We present an original model of paraconsistent Turing machines (PTMs), a generalization of the classical Turing machines model of computation using a paraconsistent logic. Next, we briefl y describe the standard models of quantum…

Quantum Physics · Physics 2007-05-23 Juan C. Agudelo , Walter Carnielli

Recurrent Neural Networks (RNNs) are theoretically Turing-complete and established themselves as a dominant model for language processing. Yet, there still remains an uncertainty regarding their language learning capabilities. In this…

Computation and Language · Computer Science 2018-11-05 Mirac Suzgun , Yonatan Belinkov , Stuart M. Shieber

Neuromorphic computing is a non-von Neumann computing paradigm that performs computation by emulating the human brain. Neuromorphic systems are extremely energy-efficient and known to consume thousands of times less power than CPUs and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Prasanna Date , Catherine Schuman , Bill Kay , Thomas Potok

A novel computing model, called \emph{Probe Machine}, is proposed in this paper. Different from Turing Machine, Probe Machine is a fully-parallel computing model in the sense that it can simultaneously process multiple pairs of data, rather…

Computational Complexity · Computer Science 2016-03-01 Jin Xu