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Deep learning is currently the subject of intensive study. However, fundamental concepts such as representations are not formally defined -- researchers "know them when they see them" -- and there is no common language for describing and…

Machine Learning · Computer Science 2015-09-30 David Balduzzi

According to a mainstream position in contemporary cognitive science and philosophy, the use of abstract compositional concepts is both a necessary and a sufficient condition for the presence of genuine thought. In this article, we show how…

Machine Learning · Computer Science 2019-10-17 Katja Ried , Benjamin Eva , Thomas Müller , Hans J. Briegel

Deep auto-encoders (DAEs) have achieved great success in learning data representations via the powerful representability of neural networks. But most DAEs only focus on the most dominant structures which are able to reconstruct the data…

Machine Learning · Computer Science 2020-07-14 Zhao Kang , Xiao Lu , Jian Liang , Kun Bai , Zenglin Xu

Unsupervised learning enables modeling complex images without the need for annotations. The representation learned by such models can facilitate any subsequent analysis of large image datasets. However, some generative factors that cause…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Maxime W. Lafarge , Josien P. W. Pluim , Mitko Veta

We model the process of human full interpretation of object images, namely the ability to identify and localize all semantic features and parts that are recognized by human observers. The task is approached by dividing the interpretation of…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Guy Ben-Yosef , Liav Assif , Shimon Ullman

Representation learning is a widely adopted framework for learning in data-scarce environments, aiming to extract common features from related tasks. While centralized approaches have been extensively studied, decentralized methods remain…

Machine Learning · Computer Science 2025-12-30 Donghwa Kang , Shana Moothedath

Representation learning and exploration are among the key challenges for any deep reinforcement learning agent. In this work, we provide a singular value decomposition based method that can be used to obtain representations that preserve…

Machine Learning · Computer Science 2023-05-03 Yash Chandak , Shantanu Thakoor , Zhaohan Daniel Guo , Yunhao Tang , Remi Munos , Will Dabney , Diana L Borsa

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

These lecture notes cover 13 sessions and are presented as an e-print, intended to evolve over time. Quantum invariants do more than distinguish topological objects; they build bridges between topology, algebra, number theory and quantum…

Quantum Algebra · Mathematics 2025-06-25 Daniel Tubbenhauer

Multimodal datasets contain an enormous amount of relational information, which grows exponentially with the introduction of new modalities. Learning representations in such a scenario is inherently complex due to the presence of multiple…

Machine Learning · Computer Science 2019-09-24 Devanshu Arya , Stevan Rudinac , Marcel Worring

Neural operators, which emerge as implicit solution operators of hidden governing equations, have recently become popular tools for learning responses of complex real-world physical systems. Nevertheless, the majority of neural operator…

Machine Learning · Computer Science 2023-01-31 Ning Liu , Yue Yu , Huaiqian You , Neeraj Tatikola

To preserve previously learned representations, continual learning systems must strike a balance between plasticity, the ability to acquire new knowledge, and stability. This stability-plasticity dilemma affects how representations can be…

Machine Learning · Computer Science 2026-05-01 Kathrin Korte , Joachim Winter Pedersen , Eleni Nisioti , Sebastian Risi

Machine learning models increasingly function as representational systems, yet the philosoph- ical assumptions underlying their internal structures remain largely unexamined. This paper develops a structuralist decision framework for…

Artificial Intelligence · Computer Science 2025-11-25 Yildiz Culcu

The objective of knowledge graph embedding is to encode both entities and relations of knowledge graphs into continuous low-dimensional vector spaces. Previously, most works focused on symbolic representation of knowledge graph with…

Computation and Language · Computer Science 2016-12-14 Jiacheng Xu , Kan Chen , Xipeng Qiu , Xuanjing Huang

State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

Representation is a key notion in neuroscience and artificial intelligence (AI). However, a longstanding philosophical debate highlights that specifying what counts as representation is trickier than it seems. With this brief opinion paper…

Artificial Intelligence · Computer Science 2022-04-21 Eloy Parra-Barrero , Yulia Sandamirskaya

Reinforcement Learning (RL) can enable agents to learn complex tasks. However, it is difficult to interpret the knowledge and reuse it across tasks. Inductive biases can address such issues by explicitly providing generic yet useful…

Artificial Intelligence · Computer Science 2022-12-13 Thomas Schnürer , Malte Probst , Horst-Michael Gross

We discuss data representation which can be learned automatically from data, are invariant to transformations, and at the same time selective, in the sense that two points have the same representation only if they are one the transformation…

Machine Learning · Computer Science 2015-03-23 Fabio Anselmi , Lorenzo Rosasco , Tomaso Poggio

LiDAR based place recognition is popular for loop closure detection and re-localization. In recent years, deep learning brings improvements to place recognition by learnable feature extraction. However, these methods degenerate when the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Sha Lu , Xuecheng Xu , Li Tang , Rong Xiong , Yue Wang

Implicit neural representations (INRs) mark a fundamental shift in signal modeling, moving from discrete sampled data to continuous functional representations. By parameterizing signals as neural networks, INRs provide a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Dhananjaya Jayasundara , Vishal M. Patel