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We introduce algebraic machine reasoning, a new reasoning framework that is well-suited for abstract reasoning. Effectively, algebraic machine reasoning reduces the difficult process of novel problem-solving to routine algebraic…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Jingyi Xu , Tushar Vaidya , Yufei Wu , Saket Chandra , Zhangsheng Lai , Kai Fong Ernest Chong

Visual reasoning is essential for building intelligent agents that understand the world and perform problem-solving beyond perception. Differentiable forward reasoning has been developed to integrate reasoning with gradient-based machine…

Machine Learning · Computer Science 2025-07-08 Hikaru Shindo , Viktor Pfanschilling , Devendra Singh Dhami , Kristian Kersting

In this work we explore the generalization characteristics of unsupervised representation learning by leveraging disentangled VAE's to learn a useful latent space on a set of relational reasoning problems derived from Raven Progressive…

Machine Learning · Computer Science 2018-11-13 Xander Steenbrugge , Sam Leroux , Tim Verbelen , Bart Dhoedt

Abstract reasoning is a cornerstone of human intelligence, and replicating it with artificial intelligence (AI) presents an ongoing challenge. This study focuses on efficiently solving Raven's progressive matrices (RPM), a visual test for…

Machine Learning · Computer Science 2024-01-30 Michael Hersche , Francesco di Stefano , Thomas Hofmann , Abu Sebastian , Abbas Rahimi

Abstract visual reasoning remains challenging as existing methods often prioritize either global context or local row-wise relations, failing to integrate both, and lack intermediate feature constraints, leading to incomplete rule capture…

Artificial Intelligence · Computer Science 2026-04-21 Jiachen Zhang , Chengtai Li , Jianfeng Ren , Linlin Shen , Zheng Lu , Ruibin Bai

Recently, single image super-resolution (SR) under large scaling factors has witnessed impressive progress by introducing pre-trained generative adversarial networks (GANs) as priors. However, most GAN-Priors based SR methods are…

Computer Vision and Pattern Recognition · Computer Science 2022-08-08 Jiahui Zhang , Fangneng Zhan , Yingchen Yu , Rongliang Wu , Xiaoqin Zhang , Shijian Lu

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

Analogical reasoning lies at the core of human cognition and remains a fundamental challenge for artificial intelligence. Raven's Progressive Matrices (RPM) serve as a widely used benchmark to assess abstract reasoning by requiring the…

Artificial Intelligence · Computer Science 2025-10-06 Binze Li

A hallmark of human intelligence is the ability to infer abstract rules from limited experience and apply these rules to unfamiliar situations. This capacity is widely studied in the visual domain using the Raven's Progressive Matrices.…

Artificial Intelligence · Computer Science 2025-12-22 Quan Do , Thomas M. Morin , Chantal E. Stern , Michael E. Hasselmo

With the continuous expansion of Large Language Models (LLMs) and advances in reinforcement learning, LLMs have demonstrated exceptional reasoning capabilities, enabling them to address a wide range of complex problems. Inspired by these…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Hongrui Jia , Chaoya Jiang , Shikun Zhang , Wei Ye

We introduce the Abductive Rule Learner with Context-awareness (ARLC), a model that solves abstract reasoning tasks based on Learn-VRF. ARLC features a novel and more broadly applicable training objective for abductive reasoning, resulting…

Machine Learning · Computer Science 2024-09-02 Giacomo Camposampiero , Michael Hersche , Aleksandar Terzić , Roger Wattenhofer , Abu Sebastian , Abbas Rahimi

Vision-Language Models often struggle with complex visual reasoning due to the visual information loss in textual CoT. Existing methods either add the cost of tool calls or rely on localized patch-based embeddings that are insufficient to…

Computation and Language · Computer Science 2026-04-10 Mengdan Zhu , Senhao Cheng , Liang Zhao

Raven's Progressive Matrices (RPM) have been widely used for Intelligence Quotient (IQ) test of humans. In this paper, we aim to solve RPM with neural networks in both supervised and unsupervised manners. First, we investigate strategies to…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Tao Zhuo , Mohan Kankanhalli

Recently, generative graph models have shown promising results in learning graph representations through self-supervised methods. However, most existing generative graph representation learning (GRL) approaches rely on random masking across…

Machine Learning · Computer Science 2026-05-08 Xinyue Hu , Zhibin Duan , Xinyang Liu , Yuxin Li , Bo Chen , Chaojie Wang , Yilin He , Hongwei Liu , Mingyuan Zhou

In abstract visual reasoning, monolithic deep learning models suffer from limited interpretability and generalization, while existing neuro-symbolic approaches fall short in capturing the diversity and systematicity of attributes and…

Artificial Intelligence · Computer Science 2025-01-23 Zhong-Hua Sun , Ru-Yuan Zhang , Zonglei Zhen , Da-Hui Wang , Yong-Jie Li , Xiaohong Wan , Hongzhi You

Disentangled representation learning (DRL) aims to break down observed data into core intrinsic factors for a profound understanding of the data. In real-world scenarios, manually defining and labeling these factors are non-trivial, making…

Machine Learning · Computer Science 2024-11-01 Youngjun Jun , Jiwoo Park , Kyobin Choo , Tae Eun Choi , Seong Jae Hwang

One of the primary challenges faced by deep learning is the degree to which current methods exploit superficial statistics and dataset bias, rather than learning to generalise over the specific representations they have experienced. This is…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Damien Teney , Peng Wang , Jiewei Cao , Lingqiao Liu , Chunhua Shen , Anton van den Hengel

Psychologists recognize Raven's Progressive Matrices as a very effective test of general human intelligence. While many computational models have been developed by the AI community to investigate different forms of top-down, deliberative…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Tianyu Hua , Maithilee Kunda

Representation learning is the foundation for the recent success of neural network models. However, the distributed representations generated by neural networks are far from ideal. Due to their highly entangled nature, they are di cult to…

Machine Learning · Computer Science 2016-02-09 William Whitney

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