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We propose a modular architecture for the lifelong learning of hierarchically structured tasks. Specifically, we prove that our architecture is theoretically able to learn tasks that can be solved by functions that are learnable given…

Machine Learning · Computer Science 2021-12-22 Zihao Deng , Zee Fryer , Brendan Juba , Rina Panigrahy , Xin Wang

This paper examines the characterization and learning of grammars defined with enriched representational models. Model-theoretic approaches to formal language theory traditionally assume that each position in a string belongs to exactly one…

Formal Languages and Automata Theory · Computer Science 2019-06-25 Jane Chandlee , Remi Eyraud , Jeffrey Heinz , Adam Jardine , Jonathan Rawski

A large body of research in continual learning is devoted to overcoming the catastrophic forgetting of neural networks by designing new algorithms that are robust to the distribution shifts. However, the majority of these works are strictly…

Machine Learning · Computer Science 2022-02-02 Seyed Iman Mirzadeh , Arslan Chaudhry , Dong Yin , Timothy Nguyen , Razvan Pascanu , Dilan Gorur , Mehrdad Farajtabar

The current state-of-the-art in artificial intelligence is impressive, especially in terms of mastery of language, but not so much in terms of mathematical reasoning. What could be missing? Can we learn something useful about that gap from…

Artificial Intelligence · Computer Science 2024-03-08 Yoshua Bengio , Nikolay Malkin

As pervasive data collection and powerful algorithms increasingly shape children's experience of the world and each other, their ability to interrogate computational algorithms has become crucially important. A growing body of work has…

Human-Computer Interaction · Computer Science 2023-07-18 Sayamindu Dasgupta , Benjamin Mako Hill

We introduce the notion of a reproducible algorithm in the context of learning. A reproducible learning algorithm is resilient to variations in its samples -- with high probability, it returns the exact same output when run on two samples…

Machine Learning · Computer Science 2023-04-17 Russell Impagliazzo , Rex Lei , Toniann Pitassi , Jessica Sorrell

It has been quite a long time since AI researchers in the field of computer science stop talking about simulating human intelligence or trying to explain how brain works. Recently, represented by deep learning techniques, the field of…

Artificial Intelligence · Computer Science 2015-09-30 Hao Wu

Research in Artificial Intelligence (AI) has focused mostly on two extremes: either on small improvements in narrow AI domains, or on universal theoretical frameworks which are usually uncomputable, incompatible with theories of biological…

Algorithmic generalization in machine learning refers to the ability to learn the underlying algorithm that generates data in a way that generalizes out-of-distribution. This is generally considered a difficult task for most machine…

Machine Learning · Computer Science 2024-01-17 Simon Ouellette , Rolf Pfister , Hansueli Jud

In recent years, there has been growing interest in understanding neural architectures' ability to learn to execute discrete algorithms, a line of work often referred to as neural algorithmic reasoning. The goal is to integrate algorithmic…

Machine Learning · Computer Science 2026-02-16 Solveig Wittig , Antonis Vasileiou , Robert R. Nerem , Timo Stoll , Floris Geerts , Yusu Wang , Christopher Morris

The agenda of quantum algorithmic information theory, ordered `top-down,' is the quantum halting amplitude, followed by the quantum algorithmic information content, which in turn requires the theory of quantum computation. The fundamental…

Quantum Physics · Physics 2007-05-23 Karl Svozil

Neural Turing Machines (NTM) contain memory component that simulates "working memory" in the brain to store and retrieve information to ease simple algorithms learning. So far, only linearly organized memory is proposed, and during…

Artificial Intelligence · Computer Science 2015-10-27 Wei Zhang , Yang Yu , Bowen Zhou

Artificial neural networks have been proposed as potential algorithms that could benefit from being implemented and run on quantum computers. In particular, they hold promise to greatly enhance Artificial Intelligence tasks, such as image…

Quantum Physics · Physics 2021-03-04 Stefano Mangini , Francesco Tacchino , Dario Gerace , Chiara Macchiavello , Daniele Bajoni

In designing an intelligent system that must be able to explain its reasoning to a human user, or to provide generalizations that the human user finds reasonable, it may be useful to take into consideration psychological data on what types…

Artificial Intelligence · Computer Science 2013-04-15 James E. Corter , Mark A. Gluck

This paper presents the thesis that all learning agents of finite information size are limited by their informational structure in what goals they can efficiently learn to achieve in a complex environment. Evolutionary change is critical…

Artificial Intelligence · Computer Science 2013-04-03 Alok Raj

Neural algorithmic reasoning is an emerging area of machine learning focusing on building models that can imitate the execution of classic algorithms, such as sorting, shortest paths, etc. One of the main challenges is to learn algorithms…

Machine Learning · Computer Science 2023-11-02 Gleb Rodionov , Liudmila Prokhorenkova

The familiar theories of physics have the feature that the application of the theory to make predictions in specific circumstances can be done by means of an algorithm. We propose a more precise formulation of this feature --- one based on…

General Relativity and Quantum Cosmology · Physics 2018-06-26 Robert Geroch , James B. Hartle

We propose a new framework for building and evaluating machine learning algorithms. We argue that many real-world problems require an agent which must quickly learn to respond to demands, yet can continue to perform and respond to new…

Machine Learning · Computer Science 2007-05-23 Jason E. Holt

This monograph aims at providing an introduction to key concepts, algorithms, and theoretical results in machine learning. The treatment concentrates on probabilistic models for supervised and unsupervised learning problems. It introduces…

Machine Learning · Computer Science 2018-05-21 Osvaldo Simeone

Empirically, neural networks that attempt to learn programs from data have exhibited poor generalizability. Moreover, it has traditionally been difficult to reason about the behavior of these models beyond a certain level of input…

Machine Learning · Computer Science 2017-04-24 Jonathon Cai , Richard Shin , Dawn Song
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