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A user pointing their phone at a supermarket shelf and asking "Which soda has the least sugar?" poses a difficult challenge for current visual Al assistants. Such queries require not only object recognition, but explicit set-based reasoning…

Multimedia · Computer Science 2026-03-18 Zehua Cheng , Wei Dai , Wenhu Zhang , Thomas Lukasiewicz , Jiahao Sun

The analysis of variance (ANOVA) decomposition offers a systematic method to understand the interaction effects that contribute to a specific decision output. In this paper we introduce Neural-ANOVA, an approach to decompose neural networks…

Machine Learning · Statistics 2025-08-01 Steffen Limmer , Steffen Udluft , Clemens Otte

We study analogical trajectory transfer, where the goal is to translate motion trajectories in one 3D environment to a semantically analogous location in another. Such a capacity would enable machines to perform analogical spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Junho Kim , Eun Sun Lee , Gwangtak Bae , Seunggu Kang , Young Min Kim

Achieving machine intelligence requires a smooth integration of perception and reasoning, yet models developed to date tend to specialize in one or the other; sophisticated manipulation of symbols acquired from rich perceptual spaces has so…

Machine Learning · Computer Science 2018-09-14 Eric Crawford , Guillaume Rabusseau , Joelle Pineau

Analogical reasoning is an essential aspect of human cognition. In this paper, we summarize key theory about the processes underlying analogical reasoning from the cognitive science literature and relate it to current research in natural…

Computation and Language · Computer Science 2025-09-29 Molly R Petersen , Claire E Stevenson , Lonneke van der Plas

As a cornerstone of automated reasoning, equational reasoning finds equivalences between symbolic expressions and fuels advances across scientific disciplines. Yet, its potential remains limited by the exponential growth of equivalent…

Quantum Physics · Physics 2026-05-19 Davide Rattacaso , Daniel Jaschke , Marco Ballarin , Ilaria Siloi , Simone Montangero

Visual representation learning is ubiquitous in various real-world applications, including visual comprehension, video understanding, multi-modal analysis, human-computer interaction, and urban computing. Due to the emergence of huge…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Yang Liu , Yushen Wei , Hong Yan , Guanbin Li , Liang Lin

Neural models and symbolic algorithms have recently been combined for tasks requiring both perception and reasoning. Neural models ground perceptual input into a conceptual vocabulary, on which a classical reasoning algorithm is applied to…

Artificial Intelligence · Computer Science 2021-06-08 Ananye Agarwal , Pradeep Shenoy , Mausam

Visual reasoning, as a prominent research area, plays a crucial role in AI by facilitating concept formation and interaction with the world. However, current works are usually carried out separately on small datasets thus lacking…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Mingyu Zhang , Jiting Cai , Mingyu Liu , Yue Xu , Cewu Lu , Yong-Lu Li

The neural network has become an integral part of modern software systems. However, they still suffer from various problems, in particular, vulnerability to adversarial attacks. In this work, we present a novel program reasoning framework…

Artificial Intelligence · Computer Science 2023-03-27 Zi Wang , Somesh Jha , Krishnamurthy , Dvijotham

Decoding visual images from brain activity has significant potential for advancing brain-computer interaction and enhancing the understanding of human perception. Recent approaches align the representation spaces of images and brain…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Nona Rajabi , Antônio H. Ribeiro , Miguel Vasco , Farzaneh Taleb , Mårten Björkman , Danica Kragic

This work explores enabling Chain-of-Thought (CoT) reasoning to link visual cues across multiple images. A straightforward solution is to adapt rule-based reinforcement learning for Vision-Language Models (VLMs). However, such methods…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Xi Chen , Mingkang Zhu , Shaoteng Liu , Xiaoyang Wu , Xiaogang Xu , Yu Liu , Xiang Bai , Hengshuang Zhao

Solving symbolic reasoning problems that require compositionality and systematicity is considered one of the key ingredients of human intelligence. However, symbolic reasoning is still a great challenge for deep learning models, which often…

Neural and Evolutionary Computing · Computer Science 2023-07-03 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Visual explanations are logical arguments based on visual features that justify the predictions made by neural networks. Current modes of visual explanations answer questions of the form $`Why \text{ } P?'$. These $Why$ questions operate…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Mohit Prabhushankar , Gukyeong Kwon , Dogancan Temel , Ghassan AlRegib

The challenge in learning abstract concepts from images in an unsupervised fashion lies in the required integration of visual perception and generalizable relational reasoning. Moreover, the unsupervised nature of this task makes it…

Artificial Intelligence · Computer Science 2024-07-09 Antonia Wüst , Wolfgang Stammer , Quentin Delfosse , Devendra Singh Dhami , Kristian Kersting

Multimodal large language models often struggle with faithful reasoning in complex visual scenes, where intricate entities and relations require precise visual grounding at each step. This reasoning unfaithfulness frequently manifests as…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Chuhan Wang , Xintong Li , Jennifer Yuntong Zhang , Junda Wu , Chengkai Huang , Lina Yao , Julian McAuley , Jingbo Shang

What types of numeric representations emerge in neural systems, and what would a satisfying answer to this question look like? In this work, we interpret Neural Network (NN) solutions to sequence based number tasks using a variety of…

Machine Learning · Computer Science 2025-08-19 Satchel Grant , Noah D. Goodman , James L. McClelland

Achieving visual reasoning is a long-term goal of artificial intelligence. In the last decade, several studies have applied deep neural networks (DNNs) to the task of learning visual relations from images, with modest results in terms of…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Guillermo Puebla , Jeffrey S. Bowers

Representing knowledge as high-dimensional vectors in a continuous semantic vector space can help overcome the brittleness and incompleteness of traditional knowledge bases. We present a method for performing deductive reasoning directly in…

Artificial Intelligence · Computer Science 2017-07-12 Douglas Summers-Stay

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

Artificial Intelligence · Computer Science 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma