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Symmetric functions, which take as input an unordered, fixed-size set, are known to be universally representable by neural networks that enforce permutation invariance. These architectures only give guarantees for fixed input sizes, yet in…

Machine Learning · Computer Science 2022-10-11 Aaron Zweig , Joan Bruna

Predictive world models that simulate future observations under explicit camera control are fundamental to interactive AI. Despite rapid advances, current systems lack spatial persistence: they fail to maintain stable scene structures over…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Chendong Xiang , Jiajun Liu , Jintao Zhang , Xiao Yang , Zhengwei Fang , Shizun Wang , Zijun Wang , Yingtian Zou , Hang Su , Jun Zhu

Recent works on representation learning for Knowledge Graphs have moved beyond the problem of link prediction, to answering queries of an arbitrary structure. Existing methods are based on ad-hoc mechanisms that require training with a…

Artificial Intelligence · Computer Science 2020-06-25 Daniel Daza , Michael Cochez

Robots rely heavily on sensors, especially RGB and depth cameras, to perceive and interact with the world. RGB cameras record 2D images with rich semantic information while missing precise spatial information. On the other side, depth…

Robotics · Computer Science 2023-10-16 Tong Zhang , Yingdong Hu , Hanchen Cui , Hang Zhao , Yang Gao

We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

We survey the development and status quo of a subject best described as "generic representation theory of finite dimensional algebras", which started taking shape in the early 1980s. Let $\Lambda$ be a finite dimensional algebra over an…

Representation Theory · Mathematics 2019-12-20 K. R. Goodearl , B. Huisgen-Zimmermann

Understanding the deep representations of complex networks is an important step of building interpretable and trustworthy machine learning applications in the age of internet. Global surrogate models that approximate the predictions of a…

Machine Learning · Computer Science 2022-03-15 Baihan Lin

Representation learning for graphs enables the application of standard machine learning algorithms and data analysis tools to graph data. Replacing discrete unordered objects such as graph nodes by real-valued vectors is at the heart of…

Machine Learning · Computer Science 2021-02-10 Konstantin Kutzkov

Backward compatible representation learning enables updated models to integrate seamlessly with existing ones, avoiding to reprocess stored data. Despite recent advances, existing compatibility approaches in Euclidean space neglect the…

Machine Learning · Computer Science 2025-06-09 Ngoc Bui , Menglin Yang , Runjin Chen , Leonardo Neves , Mingxuan Ju , Rex Ying , Neil Shah , Tong Zhao

Deep learning is the mainstream technique for many machine learning tasks, including image recognition, machine translation, speech recognition, and so on. It has outperformed conventional methods in various fields and achieved great…

Machine Learning · Computer Science 2018-06-01 Na Lei , Zhongxuan Luo , Shing-Tung Yau , David Xianfeng Gu

Recognizing precise geometrical configurations of groups of objects is a key capability of human spatial cognition, yet little studied in the deep learning literature so far. In particular, a fundamental problem is how a machine can learn…

Machine Learning · Computer Science 2020-07-20 Laetitia Teodorescu , Katja Hofmann , Pierre-Yves Oudeyer

Neural operators are neural network-based surrogate models for approximating solution operators of parametric partial differential equations, enabling efficient many-query computations in science and engineering. Many applications,…

Numerical Analysis · Mathematics 2026-02-03 Mingyu Han , Daniel Zhengyu Huang , Yuhan Wang , Yanshu Zhang , Jiayi Zhou

Recent work has found that neural networks with stronger generalization tend to exhibit higher representational alignment with one another across architectures and training paradigms. In this work, we show that models with stronger…

Machine Learning · Computer Science 2026-02-02 Junjie Yu , Wenxiao Ma , Chen Wei , Jianyu Zhang , Haotian Deng , Zihan Deng , Quanying Liu

In this short review, we pay attention to some subtleties in the study of projective representations, contrasting local to global properties and their interplay. The analysis is exposed rigorously, showing and demonstrating the main…

Mathematical Physics · Physics 2023-09-14 J. M. Hoff da Silva , J. E. Rodrigues

Graph kernels are widely used for measuring the similarity between graphs. Many existing graph kernels, which focus on local patterns within graphs rather than their global properties, suffer from significant structure information loss when…

Machine Learning · Computer Science 2019-12-02 Lingfei Wu , Ian En-Hsu Yen , Zhen Zhang , Kun Xu , Liang Zhao , Xi Peng , Yinglong Xia , Charu Aggarwal

Graph embedding techniques are useful to characterize spectral signature relations for hyperspectral images. However, such images consists of disjoint classes due to spatial details that are often ignored by existing graph computing tools.…

Computer Vision and Pattern Recognition · Computer Science 2012-11-29 Dalton Lunga 'and' Okan Ersoy

Biological and artificial intelligence systems navigate the fundamental efficiency-robustness tradeoff for optimal encoding, i.e., they must efficiently encode numerous attributes of the input space while also being robust to noise. This…

Neurons and Cognition · Quantitative Biology 2025-09-18 Arna Ghosh , Zahraa Chorghay , Shahab Bakhtiari , Blake A. Richards

Recent years have witnessed the successful application of low-dimensional vector space representations of knowledge graphs to predict missing facts or find erroneous ones. However, it is not yet well-understood to what extent ontological…

Artificial Intelligence · Computer Science 2018-08-22 Víctor Gutiérrez-Basulto , Steven Schockaert

Do multilingual embedding models encode a language-general representation of proficiency? We investigate this by training linear and non-linear probes on hidden-state activations from Qwen3-Embedding (0.6B, 4B, 8B) to predict CEFR…

Computation and Language · Computer Science 2026-04-09 Laurits Lyngbaek , Ross Deans Kristensen-McLachlan

Many real-world problems require reasoning across multiple scales, demanding models which operate not on single data points, but on entire distributions. We introduce generative distribution embeddings (GDE), a framework that lifts…

Machine Learning · Computer Science 2026-02-23 Nic Fishman , Gokul Gowri , Peng Yin , Jonathan Gootenberg , Omar Abudayyeh
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