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In this paper, we investigate properties and limitations of invariance learned by neural networks from the data compared to the genuine invariance achieved through invariant weight-tying. To do so, we adopt a group theoretical perspective…

Machine Learning · Computer Science 2023-08-09 Artem Moskalev , Anna Sepliarskaia , Erik J. Bekkers , Arnold Smeulders

A theory of neural networks (NNs) built upon collective variables would provide scientists with the tools to better understand the learning process at every stage. In this work, we introduce two such variables, the entropy and the trace of…

Machine Learning · Computer Science 2023-05-03 Samuel Tovey , Sven Krippendorf , Konstantin Nikolaou , Christian Holm

Many real-world time series, such as in health, have changepoints where the system's structure or parameters change. Since changepoints can indicate critical events such as onset of illness, it is highly important to detect them. However,…

Machine Learning · Computer Science 2019-05-17 Zahra Ebrahimzadeh , Min Zheng , Selcuk Karakas , Samantha Kleinberg

Place recognition is one of the most challenging problems in computer vision, and has become a key part in mobile robotics and autonomous driving applications for performing loop closure in visual SLAM systems. Moreover, the difficulty of…

Computer Vision and Pattern Recognition · Computer Science 2015-05-28 Ruben Gomez-Ojeda , Manuel Lopez-Antequera , Nicolai Petkov , Javier Gonzalez-Jimenez

Neural Tensor Networks (NTNs), which are structured to encode the degree of relationship among pairs of entities, are used in Logic Tensor Networks (LTNs) to facilitate Statistical Relational Learning (SRL) in first-order logic. In this…

Machine Learning · Computer Science 2020-10-07 Jinyung Hong , Theodore P. Pavlic

Convolutional neural networks were the standard for solving many computer vision tasks until recently, when Transformers of MLP-based architectures have started to show competitive performance. These architectures typically have a vast…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Peter Kocsis , Peter Súkeník , Guillem Brasó , Matthias Nießner , Laura Leal-Taixé , Ismail Elezi

Neural network weights are typically initialized at random from univariate distributions, controlling just the variance of individual weights even in highly-structured operations like convolutions. Recent ViT-inspired convolutional networks…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Asher Trockman , Devin Willmott , J. Zico Kolter

This study introduces PV-RNN, a novel variational RNN inspired by the predictive-coding ideas. The model learns to extract the probabilistic structures hidden in fluctuating temporal patterns by dynamically changing the stochasticity of its…

Machine Learning · Computer Science 2019-06-26 Ahmadreza Ahmadi , Jun Tani

Perceptual learning enables humans to recognize and represent stimuli invariant to various transformations and build a consistent representation of the self and physical world. Such representations preserve the invariant physical relations…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Du Xiaorui , Yavuzhan Erdem , Immanuel Schweizer , Cristian Axenie

Training deep neural networks results in strong learned representations that show good generalization capabilities. In most cases, training involves iterative modification of all weights inside the network via back-propagation. In Extreme…

Machine Learning · Computer Science 2018-02-06 Amir Rosenfeld , John K. Tsotsos

A deeper network structure generally handles more complicated non-linearity and performs more competitively. Nowadays, advanced network designs often contain a large number of repetitive structures (e.g., Transformer). They empower the…

Machine Learning · Computer Science 2022-10-14 Yue Bai , Huan Wang , Xu Ma , Yitian Zhang , Zhiqiang Tao , Yun Fu

Anomaly detection and localization are widely used in industrial manufacturing for its efficiency and effectiveness. Anomalies are rare and hard to collect and supervised models easily over-fit to these seen anomalies with a handful of…

Computer Vision and Pattern Recognition · Computer Science 2023-04-19 Hui Zhang , Zuxuan Wu , Zheng Wang , Zhineng Chen , Yu-Gang Jiang

A fundamental problem in object recognition is the development of image representations that are invariant to common transformations such as translation, rotation, and small deformations. There are multiple hypotheses regarding the source…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Eric Kauderer-Abrams

Convolutional Neural Networks (CNNs) are now a well-established tool for solving computational imaging problems. Modern CNN-based algorithms obtain state-of-the-art performance in diverse image restoration problems. Furthermore, it has been…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Julián Tachella , Junqi Tang , Mike Davies

Many complex physical systems admit natural decomposition into an exactly solvable component and a perturbative correction. Rather than training neural networks to learn complete trajectories from scratch, we introduce Neural Network…

Computational Physics · Physics 2025-12-02 Zhenhao Chen , Mutian Shen , Boris Fain , Zohar Nussinov

We propose a neural language model capable of unsupervised syntactic structure induction. The model leverages the structure information to form better semantic representations and better language modeling. Standard recurrent neural networks…

Computation and Language · Computer Science 2018-02-20 Yikang Shen , Zhouhan Lin , Chin-Wei Huang , Aaron Courville

The theory of random vector functional link network (RVFLN) has provided a breakthrough in the design of neural networks (NNs) since it conveys solid theoretical justification of randomized learning. Existing works in RVFLN are hardly…

Neural and Evolutionary Computing · Computer Science 2018-02-06 Mahardhika Pratama , Plamen P. Angelov , Edwin Lughofer

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

Recurrent neural networks (RNNs) have been extraordinarily successful for prediction with sequential data. To tackle highly variable and noisy real-world data, we introduce Particle Filter Recurrent Neural Networks (PF-RNNs), a new RNN…

Machine Learning · Computer Science 2019-12-03 Xiao Ma , Peter Karkus , David Hsu , Wee Sun Lee

We propose the introduction of nonlinear operation into the feature generation process in convolutional neural networks. This nonlinearity can be implemented in various ways. First we discuss the use of nonlinearities in the process of data…

Machine Learning · Computer Science 2019-05-30 Gavneet Singh Chadha , Andreas Schwung