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We propose a generalization of separability in the context of global optimization. Our results apply to objective functions implemented as differentiable computer programs. They are presented in the context of a simple branch and bound…

Optimization and Control · Mathematics 2023-05-10 Jens Deussen , Uwe Naumann

This text is devoted to the theory of varieties, which provides an important tool, based in universal algebra, for the classification of regular languages. In the introductory section, we present a number of examples that illustrate and…

Formal Languages and Automata Theory · Computer Science 2021-11-19 Howard Straubing , Pascal Weil

We introduce Language World Models, a class of language-conditional generative model which interpret natural language messages by predicting latent codes of future observations. This provides a visual grounding of the message, similar to an…

Computation and Language · Computer Science 2020-02-25 Alexander I. Cowen-Rivers , Jason Naradowsky

Language provides simple ways of communicating generalizable knowledge to each other (e.g., "Birds fly", "John hikes", "Fire makes smoke"). Though found in every language and emerging early in development, the language of generalization is…

Computation and Language · Computer Science 2018-12-17 Michael Henry Tessler , Noah D. Goodman

Despite the well-developed cut-edge representation learning for language, most language representation models usually focus on specific level of linguistic unit, which cause great inconvenience when being confronted with handling multiple…

Computation and Language · Computer Science 2020-09-11 Yian Li , Hai Zhao

Humans extract useful abstractions of the world from noisy sensory data. Serial reproduction allows us to study how people construe the world through a paradigm similar to the game of telephone, where one person observes a stimulus and…

Artificial Intelligence · Computer Science 2024-02-07 Sreejan Kumar , Raja Marjieh , Byron Zhang , Declan Campbell , Michael Y. Hu , Umang Bhatt , Brenden Lake , Thomas L. Griffiths

Domain generalization aims at training on source domains to uncover a domain-invariant feature space, allowing the model to perform robust generalization ability on unknown target domains. However, due to domain gaps, it is hard to find…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Yanmei Wang , Xiyao Liu , Fupeng Chu , Zhi Han

We present a linear functional calculus with both the safety guarantees expressible with linear types and the rich language of combinators and composition provided by functional programming. Unlike previous combinations of linear typing and…

Programming Languages · Computer Science 2017-03-17 J. Garrett Morris

Many different definitions of computational universality for various types of dynamical systems have flourished since Turing's work. We propose a general definition of universality that applies to arbitrary discrete time symbolic dynamical…

Computational Complexity · Computer Science 2007-05-23 Jean-Charles Delvenne , Petr Kurka , Vincent Blondel

Human language defines the most complex outcomes of evolution. The emergence of such an elaborated form of communication allowed humans to create extremely structured societies and manage symbols at different levels including, among others,…

Physics and Society · Physics 2014-03-14 Ricard V. Solé , Luís F. Seoane

Genericity is the idea that the same program can work at many different data types. Longo, Milstead and Soloviev proposed to capture the inability of generic programs to probe the structure of their instances by the following equational…

Logic in Computer Science · Computer Science 2013-12-05 Samson Abramsky , Radha Jagadeesan

Generalized planning is about finding plans that solve collections of planning instances, often infinite collections, rather than single instances. Recently it has been shown how to reduce the planning problem for generalized planning to…

Artificial Intelligence · Computer Science 2019-06-03 Blai Bonet , Raquel Fuentetaja , Yolanda E-Martin , Daniel Borrajo

In this paper, we show a new approach to transformations of an imperative program with function calls and global variables into a logically constrained term rewriting system. The resulting system represents transitions of the whole…

Logic in Computer Science · Computer Science 2019-02-25 Yoshiaki Kanazawa , Naoki Nishida

We introduce a globally normalized transition-based neural network model that achieves state-of-the-art part-of-speech tagging, dependency parsing and sentence compression results. Our model is a simple feed-forward neural network that…

Computation and Language · Computer Science 2016-06-09 Daniel Andor , Chris Alberti , David Weiss , Aliaksei Severyn , Alessandro Presta , Kuzman Ganchev , Slav Petrov , Michael Collins

This study explores the capabilities of large language models (LLMs) in providing knowledge about cities and regions on a global scale. We employ two methods: directly querying the LLM for target variable values and extracting explicit and…

Computation and Language · Computer Science 2024-11-28 Zhuoheng Li , Yaochen Wang , Zhixue Song , Yuqi Huang , Rui Bao , Guanjie Zheng , Zhenhui Jessie Li

A unified theory of language combines a Bayesian cognitive linguistic model of language processing, with the proposal that language evolved by sexual selection for the display of intelligence. The theory accounts for the major facts of…

Neurons and Cognition · Quantitative Biology 2025-08-29 Robert Worden

We introduce an abstract measure___theoretic framework that serves as a tool to rigorously study stochastic iterative global optimization algorithms as a unified class. The framework is formulated in terms of probability kernels, which, via…

Formal Languages and Automata Theory · Computer Science 2026-03-03 Gaëtan Serré , Argyris Kalogeratos , Nicolas Vayatis

Given an image, generating its natural language description (i.e., caption) is a well studied problem. Approaches proposed to address this problem usually rely on image features that are difficult to interpret. Particularly, these image…

Computer Vision and Pattern Recognition · Computer Science 2020-07-24 Aditya Mogadala , Xiaoyu Shen , Dietrich Klakow

Recent work interprets the linear recoverability of geographic and temporal variables from large language model (LLM) hidden states as evidence for world-like internal representations. We test a simpler possibility: that much of the…

Computation and Language · Computer Science 2026-03-05 Elan Barenholtz

Recent breakthroughs in AI capability have been attributed to increasingly sophisticated architectures and alignment techniques, but a simpler principle may explain these advances: memory makes computation universal. Memory enables…

Machine Learning · Computer Science 2024-12-24 Erik Garrison