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A general simplicity problem in category theory is proposed. A particular example, the simplest choice of generators of an algebra is specified and illustrated by an example.

Rings and Algebras · Mathematics 2007-05-23 T. Kopf , R. Otahalova

This introduction aims to tell the story of how we put words into computers. It is part of the story of the field of natural language processing (NLP), a branch of artificial intelligence. It targets a wide audience with a basic…

Computation and Language · Computer Science 2020-04-20 Noah A. Smith

Broadly intelligent agents should form task-specific abstractions that selectively expose the essential elements of a task, while abstracting away the complexity of the raw sensorimotor space. In this work, we present Neuro-Symbolic…

Artificial Intelligence · Computer Science 2025-03-04 Yichao Liang , Nishanth Kumar , Hao Tang , Adrian Weller , Joshua B. Tenenbaum , Tom Silver , João F. Henriques , Kevin Ellis

Cognition is a core part of and a common topic among philosophy of mind, psychology, neuroscience, AI, and cognitive science. Through a mechanistic lens, I propose a framework of defining, modeling, and analyzing cognition mechanisms.…

Artificial Intelligence · Computer Science 2023-11-20 Amir Fayezioghani

Transformers have achieved great success in natural language processing. Due to the powerful capability of self-attention mechanism in transformers, researchers develop the vision transformers for a variety of computer vision tasks, such as…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Bo-Kai Ruan , Hong-Han Shuai , Wen-Huang Cheng

Experts across diverse disciplines are often interested in making sense of large text collections. Traditionally, this challenge is approached either by noisy unsupervised techniques such as topic models, or by following a manual theme…

Computation and Language · Computer Science 2024-10-23 Maria Leonor Pacheco , Tunazzina Islam , Lyle Ungar , Ming Yin , Dan Goldwasser

Concept-based interpretability for Convolutional Neural Networks (CNNs) aims to align internal model representations with high-level semantic concepts, but existing approaches largely overlook the semantic roles of individual filters and…

Machine Learning · Computer Science 2025-09-24 Xinyu Mu , Hui Dou , Furao Shen , Jian Zhao

Concise granule descriptions for definable granules and approaching descriptions for indefinable granules are challenging and important issues in granular computing. The concept with only common attributes has been intensively studied. To…

Artificial Intelligence · Computer Science 2022-01-10 Jianqin Zhou , Sichun Yang , Xifeng Wang , Wanquan Liu

Concept Induction refers to the problem of creating complex Description Logic class descriptions (i.e., TBox axioms) from instance examples (i.e., ABox data). In this paper we look particularly at the case where both a set of positive and a…

Artificial Intelligence · Computer Science 2018-12-11 Md Kamruzzaman Sarker , Pascal Hitzler

Large-scale foundation models demonstrate strong performance across language, vision, and reasoning tasks. However, how they internally structure and stabilize concepts remains elusive. Inspired by causal inference, we introduce the…

Machine Learning · Computer Science 2025-11-25 Bowei Tian , Yexiao He , Wanghao Ye , Ziyao Wang , Meng Liu , Ang Li

Nobody knows how language works, but many theories abound. Transformers are a class of neural networks that process language automatically with more success than alternatives, both those based on neural computations and those that rely on…

Computation and Language · Computer Science 2024-08-08 Felix Hill

Visual concept discovery has long been deemed important to improve interpretability of neural networks, because a bank of semantically meaningful concepts would provide us with a starting point for building machine learning models that…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Haiyang Huang , Zhi Chen , Cynthia Rudin

Humans are extremely swift learners. We are able to grasp highly abstract notions, whether they come from art perception or pure mathematics. Current machine learning techniques demonstrate astonishing results in extracting patterns in…

Artificial Intelligence · Computer Science 2019-07-30 Alexander V. Terekhov , J. Kevin O'Regan

We introduce a generalized notion of inference system to support more flexible interpretations of recursive definitions. Besides axioms and inference rules with the usual meaning, we allow also coaxioms, which are, intuitively, axioms which…

Logic in Computer Science · Computer Science 2023-06-22 Francesco Dagnino

This paper proposes an explanation of the cognitive change that occurs as the creative process proceeds. During the initial, intuitive phase, each thought activates, and potentially retrieves information from, a large region containing many…

Neurons and Cognition · Quantitative Biology 2019-07-09 Liane Gabora

Representations play a central role in the study of both biological and artificial intelligence, as well as philosophy of mind. Across neuroscience, computer science, and philosophy, a recurring theme is that representations not only carry…

Other Computer Science · Computer Science 2026-04-22 Ben Baker , Richard D. Lange , Andrew Richmond , Nikolaus Kriegeskorte , Rosa Cao , Xaq Pitkow , Odelia Schwartz

Traditional neural embeddings represent concepts as points, excelling at similarity but struggling with higher-level reasoning and asymmetric relationships. We introduce a novel paradigm: embedding concepts as linear subspaces. This…

Machine Learning · Computer Science 2025-08-26 Gabriel Moreira , Zita Marinho , Manuel Marques , João Paulo Costeira , Chenyan Xiong

Early in development, infants learn to extract surprisingly complex aspects of visual scenes. This early learning comes together with an initial understanding of the extracted concepts, such as their implications, causality, and using them…

Artificial Intelligence · Computer Science 2026-03-27 Shify Treger , Shimon Ullman

Living systems, from single cells to higher vertebrates, receive a continuous stream of non-stationary inputs that they sense, e.g., via cell surface receptors or sensory organs. Integrating these time-varying, multi-sensory, and often…

Other Quantitative Biology · Quantitative Biology 2024-04-17 Daniel Koch , Akhilesh Nandan , Gayathri Ramesan , Aneta Koseska

An image related question defines a specific visual task that is required in order to produce an appropriate answer. The answer may depend on a minor detail in the image and require complex reasoning and use of prior knowledge. When humans…

Computer Vision and Pattern Recognition · Computer Science 2018-10-26 Ben Zion Vatashsky , Shimon Ullman
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