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For functional data lying on an unknown nonlinear low-dimensional space, we study manifold learning and introduce the notions of manifold mean, manifold modes of functional variation and of functional manifold components. These constitute…

Statistics Theory · Mathematics 2012-05-29 Dong Chen , Hans-Georg Müller

In order to deal with the curse of dimensionality in reinforcement learning (RL), it is common practice to make parametric assumptions where values or policies are functions of some low dimensional feature space. This work focuses on the…

Machine Learning · Computer Science 2020-07-23 Alekh Agarwal , Sham Kakade , Akshay Krishnamurthy , Wen Sun

Capturing long-range dependencies in feature representations is crucial for many visual recognition tasks. Despite recent successes of deep convolutional networks, it remains challenging to model non-local context relations between visual…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Songyang Zhang , Shipeng Yan , Xuming He

We propose a novel approach to learning the generative neural fields represented by linear combinations of implicit basis networks. Our algorithm learns basis networks in the form of implicit neural representations and their coefficients in…

Machine Learning · Computer Science 2023-10-31 Tackgeun You , Mijeong Kim , Jungtaek Kim , Bohyung Han

The recent surge of utilizing deep neural networks for geometric processing and shape modeling has opened up exciting avenues. However, there is a conspicuous lack of research efforts on using powerful neural representations to extend the…

Graphics · Computer Science 2026-01-27 Lei Yang , Yongqing Liang , Xin Li , Congyi Zhang , Guying Lin , Alla Sheffer , Scott Schaefer , John Keyser , Wenping Wang

Deep neural networks can empirically perform efficient hierarchical learning, in which the layers learn useful representations of the data. However, how they make use of the intermediate representations are not explained by recent theories…

Machine Learning · Computer Science 2021-03-08 Minshuo Chen , Yu Bai , Jason D. Lee , Tuo Zhao , Huan Wang , Caiming Xiong , Richard Socher

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

Models of neural networks have proven their utility in the development of learning algorithms in computer science and in the theoretical study of brain dynamics in computational neuroscience. We propose in this paper a spatial neural…

Neural and Evolutionary Computing · Computer Science 2014-05-06 Lucas Antiqueira , Liang Zhao

Graph Neural Networks leverage the connectivity structure of graphs as an inductive bias. Latent graph inference focuses on learning an adequate graph structure to diffuse information on and improve the downstream performance of the model.…

Machine Learning · Computer Science 2023-04-13 Haitz Sáez de Ocáriz Borde , Álvaro Arroyo , Ingmar Posner

Mask-guided matting networks have achieved significant improvements and have shown great potential in practical applications in recent years. However, simply learning matting representation from synthetic and lack-of-real-world-diversity…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Weihao Jiang , Zhaozhi Xie , Yuxiang Lu , Longjie Qi , Jingyong Cai , Hiroyuki Uchiyama , Bin Chen , Yue Ding , Hongtao Lu

Neural networks have greatly boosted performance in computer vision by learning powerful representations of input data. The drawback of end-to-end training for maximal overall performance are black-box models whose hidden representations…

Computer Vision and Pattern Recognition · Computer Science 2020-04-29 Patrick Esser , Robin Rombach , Björn Ommer

It has recently been argued that AI models' representations are becoming aligned as their scale and performance increase. Empirical analyses have been designed to support this idea and conjecture the possible alignment of different…

Machine Learning · Computer Science 2025-02-21 Francesco Insulla , Shuo Huang , Lorenzo Rosasco

In this work, we introduce Adapt & Align, a method for continual learning of neural networks by aligning latent representations in generative models. Neural Networks suffer from abrupt loss in performance when retrained with additional…

Machine Learning · Computer Science 2023-12-22 Kamil Deja , Bartosz Cywiński , Jan Rybarczyk , Tomasz Trzciński

Despite the remarkable success of large large-scale neural networks, we still lack unified notation for thinking about and describing their representational spaces. We lack methods to reliably describe how their representations are…

Machine Learning · Computer Science 2025-06-02 Henry Conklin

Neural Radiance Fields (NeRFs) have emerged as a standard framework for representing 3D scenes and objects, introducing a novel data type for information exchange and storage. Concurrently, significant progress has been made in multimodal…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Francesco Ballerini , Pierluigi Zama Ramirez , Roberto Mirabella , Samuele Salti , Luigi Di Stefano

Neural fields have gained significant attention in the computer vision community due to their excellent performance in novel view synthesis, geometry reconstruction, and generative modeling. Some of their advantages are a sound theoretic…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Lukas Koestler , Daniel Grittner , Michael Moeller , Daniel Cremers , Zorah Lähner

The representations of neural networks are often compared to those of biological systems by performing regression between the neural network responses and those measured from biological systems. Many different state-of-the-art deep neural…

Neurons and Cognition · Quantitative Biology 2023-12-13 Abdulkadir Canatar , Jenelle Feather , Albert Wakhloo , SueYeon Chung

How does the mind organize thoughts? The hippocampal-entorhinal complex is thought to support domain-general representation and processing of structural knowledge of arbitrary state, feature and concept spaces. In particular, it enables the…

Artificial Intelligence · Computer Science 2022-02-24 Paul Stoewer , Christian Schlieker , Achim Schilling , Claus Metzner , Andreas Maier , Patrick Krauss

Modern communication systems rely on accurate channel estimation to achieve efficient and reliable transmission of information. As the communication channel response is highly related to the user's location, one can use a neural network to…

Artificial Intelligence · Computer Science 2023-08-29 Baptiste Chatelier , Luc Le Magoarou , Vincent Corlay , Matthieu Crussière

Deep learning's performance has been extensively recognized recently. Graph neural networks (GNNs) are designed to deal with graph-structural data that classical deep learning does not easily manage. Since most GNNs were created using…

Machine Learning · Computer Science 2023-09-20 Zhiqian Chen , Fanglan Chen , Lei Zhang , Taoran Ji , Kaiqun Fu , Liang Zhao , Feng Chen , Lingfei Wu , Charu Aggarwal , Chang-Tien Lu
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