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Humans can learn a variety of concepts and skills incrementally over the course of their lives while exhibiting many desirable properties, such as continual learning without forgetting, forward transfer and backward transfer of knowledge,…

Artificial Intelligence · Computer Science 2021-05-04 Charles X. Ling , Tanner Bohn

We investigate the capability of a transformer pretrained on natural language to generalize to other modalities with minimal finetuning -- in particular, without finetuning of the self-attention and feedforward layers of the residual…

Machine Learning · Computer Science 2021-07-01 Kevin Lu , Aditya Grover , Pieter Abbeel , Igor Mordatch

Previous work on the learnability of transformers \textemdash\ focused primarily on examining their ability to approximate specific algorithmic patterns through training \textemdash\ has largely been data-driven, offering only probabilistic…

Machine Learning · Computer Science 2026-04-23 Debanjan Dutta , Anish Chakrabarty , Faizanuddin Ansari , Swagatam Das

In this work, we develop universal quantum computing models that form a family of quantum von Neumann architecture, with modular units of memory, control, CPU, internet, besides input and output. This family contains three generations…

Quantum Physics · Physics 2024-09-17 D. -S. Wang

Infinite time Turing machines extend the operation of ordinary Turing machines into transfinite ordinal time. By doing so, they provide a natural model of infinitary computability, a theoretical setting for the analysis of the power and…

Logic · Mathematics 2007-05-23 Joel David Hamkins

The notion of programming paradigms, with associated programming languages and methodologies, is a well established tenet of Computer Science pedagogy, enshrined in international curricula. However, this notion sits ill with Kuhn's classic…

Programming Languages · Computer Science 2020-02-17 Greg Michaelson

The transformer architecture has demonstrated remarkable capabilities in modern artificial intelligence, among which the capability of implicitly learning an internal model during inference time is widely believed to play a key role in the…

Machine Learning · Computer Science 2026-02-10 Zhiheng Chen , Ruofan Wu , Guanhua Fang

In continual learning, our aim is to learn a new task without forgetting what was learned previously. In topic models, this translates to learning new topic models without forgetting previously learned topics. Previous work either…

Machine Learning · Computer Science 2025-08-22 Charu Karakkaparambil James , Waleed Mustafa , Marius Kloft , Sophie Fellenz

We extend neural Turing machine (NTM) model into a dynamic neural Turing machine (D-NTM) by introducing a trainable memory addressing scheme. This addressing scheme maintains for each memory cell two separate vectors, content and address…

Machine Learning · Computer Science 2017-03-20 Caglar Gulcehre , Sarath Chandar , Kyunghyun Cho , Yoshua Bengio

Temporal-difference learning (TD), coupled with neural networks, is among the most fundamental building blocks of deep reinforcement learning. However, due to the nonlinearity in value function approximation, such a coupling leads to…

Machine Learning · Computer Science 2020-04-16 Qi Cai , Zhuoran Yang , Jason D. Lee , Zhaoran Wang

This is the first in a series of connected papers discussing the problem of a dynamically reconfigurable universal learning neurocomputer that could serve as a computational model for the whole human brain. The whole series is entitled "The…

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

Knowledge tracing---where a machine models the knowledge of a student as they interact with coursework---is a well established problem in computer supported education. Though effectively modeling student knowledge would have high…

Artificial Intelligence · Computer Science 2015-06-22 Chris Piech , Jonathan Spencer , Jonathan Huang , Surya Ganguli , Mehran Sahami , Leonidas Guibas , Jascha Sohl-Dickstein

We prove the Extended Church-Turing Thesis: Every effective algorithm can be efficiently simulated by a Turing machine. This is accomplished by emulating an effective algorithm via an abstract state machine, and simulating such an abstract…

Logic in Computer Science · Computer Science 2012-08-01 Nachum Dershowitz , Evgenia Falkovich

Biological brains demonstrate complex neural activity, where neural dynamics are critical to how brains process information. Most artificial neural networks ignore the complexity of individual neurons. We challenge that paradigm. By…

Machine Learning · Computer Science 2025-10-06 Luke Darlow , Ciaran Regan , Sebastian Risi , Jeffrey Seely , Llion Jones

This book develops the conjecture that all kinds of information processing in computers and in brains may usefully be understood as "information compression by multiple alignment, unification and search". This "SP theory", which has been…

Artificial Intelligence · Computer Science 2007-05-23 J Gerard Wolff

Previous work has demonstrated that attention mechanisms are Turing complete. More recently, it has been shown that a looped 9-layer Transformer can function as a universal programmable computer. In contrast, the multi-layer perceptrons…

Machine Learning · Computer Science 2025-02-21 Yingyu Liang , Zhizhou Sha , Zhenmei Shi , Zhao Song , Yufa Zhou

We explore the possible connections between the dynamic behaviour of a system and Turing universality in terms of the system's ability to (effectively) transmit and manipulate information. Some arguments will be provided using a defined…

Computational Complexity · Computer Science 2012-01-05 Hector Zenil

Conventional approaches to simulating quantum many-body dynamics produce a single trajectory: if the Hamiltonian or the initial state is changed, the computation must be re-performed. Recent efforts toward foundation models have begun to…

Quantum Physics · Physics 2026-05-08 Zihao Qi , Christopher Earls , Yang Peng

This tutorial introduces a new and powerful set of techniques variously called "neural machine translation" or "neural sequence-to-sequence models". These techniques have been used in a number of tasks regarding the handling of human…

Computation and Language · Computer Science 2017-03-07 Graham Neubig

Molecular modeling is an important topic in drug discovery. Decades of research have led to the development of high quality scalable molecular force fields. In this paper, we show that neural networks can be used to train a universal…

Quantitative Methods · Quantitative Biology 2021-04-20 Ke Liu , Zekun Ni , Zhenyu Zhou , Suocheng Tan , Xun Zou , Haoming Xing , Xiangyan Sun , Qi Han , Junqiu Wu , Jie Fan