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Solving math word problems is a challenging task that requires accurate natural language understanding to bridge natural language texts and math expressions. Motivated by the intuition about how human generates the equations given the…

Computation and Language · Computer Science 2019-06-11 Ting-Rui Chiang , Yun-Nung Chen

Visual arguments, often used in advertising or social causes, rely on images to persuade viewers to do or believe something. Understanding these arguments requires selective vision: only specific visual stimuli within an image are relevant…

Computation and Language · Computer Science 2024-10-24 Jiwan Chung , Sungjae Lee , Minseo Kim , Seungju Han , Ashkan Yousefpour , Jack Hessel , Youngjae Yu

In this paper we present an alternative approach to symbolic segmentation; instead of implementing a new method we approach symbolic segmentation as an algorithm selection problem. That is, let there be $n$ available algorithms for symbolic…

Computer Vision and Pattern Recognition · Computer Science 2015-06-01 Martin Lukac , Kamila Abdiyeva , Michitaka Kameyama

Vision language models (VLMs) are expected to perform effective multimodal reasoning and make logically coherent decisions, which is critical to tasks such as diagram understanding and spatial problem solving. However, current VLM reasoning…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Yichen Feng , Zhangchen Xu , Fengqing Jiang , Yuetai Li , Bhaskar Ramasubramanian , Luyao Niu , Bill Yuchen Lin , Radha Poovendran

We introduce the concept of a \textbf{neuro-symbolic pair} -- neural and symbolic approaches that are linked through a common knowledge representation. Next, we present \textbf{taxonomic networks}, a type of discrimination network in which…

Artificial Intelligence · Computer Science 2025-06-02 Zekun Wang , Ethan L. Haarer , Nicki Barari , Christopher J. MacLellan

Neuro-symbolic methods integrate neural architectures, knowledge representation and reasoning. However, they have been struggling at both dealing with the intrinsic uncertainty of the observations and scaling to real-world applications.…

Artificial Intelligence · Computer Science 2025-01-16 Giuseppe Marra , Michelangelo Diligenti , Francesco Giannini

Neuro-symbolic and statistical relational artificial intelligence both integrate frameworks for learning with logical reasoning. This survey identifies several parallels across seven different dimensions between these two fields. These…

Artificial Intelligence · Computer Science 2020-03-25 Luc De Raedt , Sebastijan Dumančić , Robin Manhaeve , Giuseppe Marra

What representation do deep neural networks learn? How similar are images to each other for neural networks? Despite the overwhelming success of deep learning methods key questions about their internal workings still remain largely…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Tassilo Wald , Constantin Ulrich , Gregor Köhler , David Zimmerer , Stefan Denner , Michael Baumgartner , Fabian Isensee , Priyank Jaini , Klaus H. Maier-Hein

Analogical reasoning is at the core of human cognition, serving as an important foundation for a variety of intellectual activities. While prior work has shown that LLMs can represent task patterns and surface-level concepts, it remains…

Computation and Language · Computer Science 2025-11-26 Taewhoo Lee , Minju Song , Chanwoong Yoon , Jungwoo Park , Jaewoo Kang

Humans have the ability to seamlessly combine low-level visual input with high-level symbolic reasoning often in the form of recognising objects, learning relations between them and applying rules. Neuro-symbolic systems aim to bring a…

Machine Learning · Computer Science 2022-03-01 Nuri Cingillioglu , Alessandra Russo

In fine art, especially painting, humans have mastered the skill to create unique visual experiences through composing a complex interplay between the content and style of an image. Thus far the algorithmic basis of this process is unknown…

Computer Vision and Pattern Recognition · Computer Science 2015-09-03 Leon A. Gatys , Alexander S. Ecker , Matthias Bethge

Visual thinking plays an important role in scientific reasoning. Based on the research in automating diverse reasoning tasks about dynamical systems, nonlinear controllers, kinematic mechanisms, and fluid motion, we have identified a style…

Artificial Intelligence · Computer Science 2009-09-25 K. Yip , F. Zhao

Visual Question Answering (VQA) is a challenging task that has received increasing attention from both the computer vision and the natural language processing communities. Given an image and a question in natural language, it requires…

Computer Vision and Pattern Recognition · Computer Science 2016-07-21 Qi Wu , Damien Teney , Peng Wang , Chunhua Shen , Anthony Dick , Anton van den Hengel

Symbolic equations are at the core of scientific discovery. The task of discovering the underlying equation from a set of input-output pairs is called symbolic regression. Traditionally, symbolic regression methods use hand-designed…

Machine Learning · Computer Science 2021-06-14 Luca Biggio , Tommaso Bendinelli , Alexander Neitz , Aurelien Lucchi , Giambattista Parascandolo

Machine-learning methods are gradually being adopted in a wide variety of social, economic, and scientific contexts, yet they are notorious for struggling with exact mathematics. A typical example is computer algebra, which includes tasks…

Machine Learning · Computer Science 2024-11-06 Lennart Dabelow , Masahito Ueda

Many vision and language tasks require commonsense reasoning beyond data-driven image and natural language processing. Here we adopt Visual Question Answering (VQA) as an example task, where a system is expected to answer a question in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-26 Somak Aditya , Yezhou Yang , Chitta Baral

We present a computational model for the semantic interpretation of symmetry in naturalistic scenes. Key features include a human-centred representation, and a declarative, explainable interpretation model supporting deep semantic…

Computer Vision and Pattern Recognition · Computer Science 2018-09-17 Jakob Suchan , Mehul Bhatt , Srikrishna Vardarajan , Seyed Ali Amirshahi , Stella Yu

To accurately process a visual scene, observers must bind features together to represent individual objects. This capacity is necessary, for instance, to distinguish an image containing a red square and a blue circle from an image…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Rim Assouel , Declan Campbell , Yoshua Bengio , Taylor Webb

Contrastive learning has revolutionized the field of computer vision, learning rich representations from unlabeled data, which generalize well to diverse vision tasks. Consequently, it has become increasingly important to explain these…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Fawaz Sammani , Boris Joukovsky , Nikos Deligiannis

We propose a new approach to natural language understanding in which we consider the input text as an image and apply 2D Convolutional Neural Networks to learn the local and global semantics of the sentences from the variations ofthe visual…