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We define the local complexity of a neural network with continuous piecewise linear activations as a measure of the density of linear regions over an input data distribution. We show theoretically that ReLU networks that learn…

Machine Learning · Computer Science 2025-07-15 Niket Patel , Guido Montufar

Understanding the loss surface of neural networks is essential for the design of models with predictable performance and their success in applications. Experimental results suggest that sufficiently deep and wide neural networks are not…

Machine Learning · Computer Science 2020-09-01 Henning Petzka , Cristian Sminchisescu

A robust and informative local shape descriptor plays an important role in mesh registration. In this regard, spectral descriptors that are based on the spectrum of the Laplace-Beltrami operator have been a popular subject of research for…

Graphics · Computer Science 2019-10-21 Zhiyu Sun , Yusen He , Andrey Gritsenko , Amaury Lendasse , Stephen Baek

In this paper we examine a novel addition to the known methods for learning Bayesian networks from data that improves the quality of the learned networks. Our approach explicitly represents and learns the local structure in the conditional…

Artificial Intelligence · Computer Science 2013-02-18 Nir Friedman , Moises Goldszmidt

We present a new local descriptor for 3D shapes, directly applicable to a wide range of shape analysis problems such as point correspondences, semantic segmentation, affordance prediction, and shape-to-scan matching. The descriptor is…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 Haibin Huang , Evangelos Kalogerakis , Siddhartha Chaudhuri , Duygu Ceylan , Vladimir G. Kim , Ersin Yumer

Current convolutional neural networks algorithms for video object tracking spend the same amount of computation for each object and video frame. However, it is harder to track an object in some frames than others, due to the varying amount…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Chris Ying , Katerina Fragkiadaki

As machine learning is applied to an increasing variety of complex problems, which are defined by high dimensional and complex data sets, the necessity for task oriented feature learning grows in importance. With the advancement of Deep…

Machine Learning · Computer Science 2016-07-06 Vishwajeet Singh , Killamsetti Ravi Kumar , K Eswaran

Geometry-aware optimization algorithms, such as Muon, have achieved remarkable success in training deep neural networks (DNNs). These methods leverage the underlying geometry of DNNs by selecting appropriate norms for different layers and…

Machine Learning · Computer Science 2026-02-04 Jie Hao , Xiaochuan Gong , Jie Xu , Zhengdao Wang , Mingrui Liu

Fully-supervised CNN-based approaches for learning local image descriptors have shown remarkable results in a wide range of geometric tasks. However, most of them require per-pixel ground-truth keypoint correspondence data which is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Iaroslav Melekhov , Zakaria Laskar , Xiaotian Li , Shuzhe Wang , Juho Kannala

A new method for explaining the Siamese neural network is proposed. It uses the following main ideas. First, the explained feature vector is compared with the prototype of the corresponding class computed at the embedding level (the Siamese…

Machine Learning · Computer Science 2019-11-19 Lev V. Utkin , Maxim S. Kovalev , Ernest M. Kasimov

Deep neural networks have excelled on a wide range of problems, from vision to language and game playing. Neural networks very gradually incorporate information into weights as they process data, requiring very low learning rates. If the…

A standard deep convolutional neural network paired with a suitable loss function learns compact local image descriptors that perform comparably to state-of-the art approaches.

Computer Vision and Pattern Recognition · Computer Science 2013-06-04 Christian Osendorfer , Justin Bayer , Patrick van der Smagt

Artificial neural network pruning is a method in which artificial neural network sizes can be reduced while attempting to preserve the predicting capabilities of the network. This is done to make the model smaller or faster during inference…

Machine Learning · Computer Science 2025-05-21 Alexandre Broggi , Nathaniel Bastian , Lance Fiondella , Gokhan Kul

This paper presents an unsupervised deep-learning framework named Local Deep-Feature Alignment (LDFA) for dimension reduction. We construct neighbourhood for each data sample and learn a local Stacked Contractive Auto-encoder (SCAE) from…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Jian Zhang , Jun Yu , Dacheng Tao

Convolutional Siamese neural networks have been recently used to track objects using deep features. Siamese architecture can achieve real time speed, however it is still difficult to find a Siamese architecture that maintains the…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Mohamed H. Abdelpakey , Mohamed S. Shehata , Mostafa M. Mohamed

A distinctive representation of image patches in form of features is a key component of many computer vision and robotics tasks, such as image matching, image retrieval, and visual localization. State-of-the-art descriptors, from…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Hao Dong , Xieyuanli Chen , Mihai Dusmanu , Viktor Larsson , Marc Pollefeys , Cyrill Stachniss

Community detection is a fundamental problem in the analysis of complex networks. It is the analogue of clustering in network data mining. Within community detection methods, hierarchical algorithms are popular. However, their iterative…

Machine Learning · Computer Science 2020-09-16 Julio-Omar Palacio-Niño , Fernando Berzal

When training automated systems, it has been shown to be beneficial to adapt the representation of data by learning a problem-specific metric. This metric is global. We extend this idea and, for the widely used family of k nearest neighbors…

Machine Learning · Computer Science 2021-09-30 Jan Philip Göpfert , Heiko Wersing , Barbara Hammer

In recent years, Spiking Neural Networks (SNNs) have demonstrated great successes in completing various Machine Learning tasks. We introduce a method for learning image features by \textit{locally connected layers} in SNNs using…

Neural and Evolutionary Computing · Computer Science 2019-04-15 Daniel J. Saunders , Devdhar Patel , Hananel Hazan , Hava T. Siegelmann , Robert Kozma

This paper presents a simple yet very effective data-driven approach to fuse both low-level and high-level local geometric features for 3D rigid data matching. It is a common practice to generate distinctive geometric descriptors by fusing…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Jiaqi Yang , Chen Zhao , Ke Xian , Angfan Zhu , Zhiguo Cao