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Analogical reasoning is a fundamental capacity of human cognition that allows us to reason abstractly about novel situations by relating them to past experiences. While it is thought to be essential for robust reasoning in AI systems,…

Artificial Intelligence · Computer Science 2023-06-06 Xiaoyang Hu , Shane Storks , Richard L. Lewis , Joyce Chai

Raven's Progressive Matrices (RPMs) is an established benchmark to examine the ability to perform high-level abstract visual reasoning (AVR). Despite the current success of algorithms that solve this task, humans can generalize beyond a…

Artificial Intelligence · Computer Science 2025-04-01 Kalliopi Basioti , Pritish Sahu , Qingze Tony Liu , Zihao Xu , Hao Wang , Vladimir Pavlovic

Abstract reasoning refers to the ability to analyze information, discover rules at an intangible level, and solve problems in innovative ways. Raven's Progressive Matrices (RPM) test is typically used to examine the capability of abstract…

Computer Vision and Pattern Recognition · Computer Science 2022-06-08 Sheng Hu , Yuqing Ma , Xianglong Liu , Yanlu Wei , Shihao Bai

The ability to hypothesise, develop abstract concepts based on concrete observations and apply these hypotheses to justify future actions has been paramount in human development. An existing line of research in outfitting intelligent…

Artificial Intelligence · Computer Science 2021-08-06 Nicholas Quek Wei Kiat , Duo Wang , Mateja Jamnik

Spatial-temporal reasoning is a challenging task in Artificial Intelligence (AI) due to its demanding but unique nature: a theoretic requirement on representing and reasoning based on spatial-temporal knowledge in mind, and an applied…

Artificial Intelligence · Computer Science 2021-05-17 Chi Zhang , Baoxiong Jia , Song-Chun Zhu , Yixin Zhu

We study generalization and knowledge reuse capabilities of deep neural networks in the domain of abstract visual reasoning (AVR), employing Raven's Progressive Matrices (RPMs), a recognized benchmark task for assessing AVR abilities. Two…

Artificial Intelligence · Computer Science 2025-05-19 Mikołaj Małkiński , Jacek Mańdziuk

We study the problem of learning latent variables in Gaussian graphical models. Existing methods for this problem assume that the precision matrix of the observed variables is the superposition of a sparse and a low-rank component. In this…

Machine Learning · Statistics 2017-07-12 Mohammadreza Soltani , Chinmay Hegde

Great endeavors have been made to study AI's ability in abstract reasoning, along with which different versions of RAVEN's progressive matrices (RPM) are proposed as benchmarks. Previous works give inkling that without sophisticated design…

Machine Learning · Computer Science 2023-03-30 Qinglai Wei , Diancheng Chen , Beiming Yuan

This work compares large language models (LLMs) and neuro-symbolic approaches in solving Raven's progressive matrices (RPM), a visual abstract reasoning test that involves the understanding of mathematical rules such as progression or…

Artificial Intelligence · Computer Science 2024-12-10 Michael Hersche , Giacomo Camposampiero , Roger Wattenhofer , Abu Sebastian , Abbas Rahimi

As a step towards improving the abstract reasoning capability of machines, we aim to solve Raven's Progressive Matrices (RPM) with neural networks, since solving RPM puzzles is highly correlated with human intelligence. Unlike previous…

Computer Vision and Pattern Recognition · Computer Science 2022-05-30 Tao Zhuo , Mohan Kankanhalli

Raven's Progressive Matrices (RPMs) are frequently used in evaluating human's visual reasoning ability. Researchers have made considerable efforts in developing systems to automatically solve the RPM problem, often through a black-box…

Computer Vision and Pattern Recognition · Computer Science 2022-01-06 Wentao He , Jianfeng Ren , Ruibin Bai , Xudong Jiang

We introduce a new neural architecture for solving visual abstract reasoning tasks inspired by human cognition, specifically by observations that human abstract reasoning often interleaves perceptual and conceptual processing as part of a…

Artificial Intelligence · Computer Science 2023-10-23 Yuan Yang , Deepayan Sanyal , James Ainooson , Joel Michelson , Effat Farhana , Maithilee Kunda

"Thinking in pictures," [1] i.e., spatial-temporal reasoning, effortless and instantaneous for humans, is believed to be a significant ability to perform logical induction and a crucial factor in the intellectual history of technology…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Chi Zhang , Baoxiong Jia , Feng Gao , Yixin Zhu , Hongjing Lu , Song-Chun Zhu

Latent variable models (LVMs) learn probabilistic models of data manifolds lying in an \emph{ambient} Euclidean space. In a number of applications, a priori known spatial constraints can shrink the ambient space into a considerably smaller…

Machine Learning · Statistics 2019-02-26 Anton Mallasto , Søren Hauberg , Aasa Feragen

Despite deep learning's broad success, its abstract-reasoning bottleneck persists. We tackle Raven's Progressive Matrices (RPM), the benchmark for pattern, reasoning and problem-solving intelligence. We model the full causal chain image…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ruizhuo Song , Beiming Yuan

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

Methodology · Statistics 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

Gaussian processes (GPs) are ubiquitously used in sciences and engineering as metamodels. Standard GPs, however, can only handle numerical or quantitative variables. In this paper, we introduce latent map Gaussian processes (LMGPs) that…

Machine Learning · Statistics 2021-10-13 Nicholas Oune , Ramin Bostanabad

Vision-Language Models (VLMs) have recently demonstrated incredible strides on diverse vision language tasks. We dig into vision-based deductive reasoning, a more sophisticated but less explored realm, and find previously unexposed…

Artificial Intelligence · Computer Science 2024-10-02 Yizhe Zhang , He Bai , Ruixiang Zhang , Jiatao Gu , Shuangfei Zhai , Josh Susskind , Navdeep Jaitly

In continual learning, a system learns from non-stationary data streams or batches without catastrophic forgetting. While this problem has been heavily studied in supervised image classification and reinforcement learning, continual…

Artificial Intelligence · Computer Science 2021-04-20 Tyler L. Hayes , Christopher Kanan

Learning interpretable representations of visual data is an important challenge, to make machines' decisions understandable to humans and to improve generalisation outside of the training distribution. To this end, we propose a deep…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Marian Longa , João F. Henriques