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Recent work suggests that some auto-encoder variants do a good job of capturing the local manifold structure of the unknown data generating density. This paper contributes to the mathematical understanding of this phenomenon and helps…

Machine Learning · Computer Science 2012-07-03 Yoshua Bengio , Guillaume Alain , Salah Rifai

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

Translating machine learning algorithms into clinical applications requires addressing challenges related to interpretability, such as accounting for the effect of confounding variables (or metadata). Confounding variables affect the…

Machine Learning · Computer Science 2022-07-12 Anthony Vento , Qingyu Zhao , Robert Paul , Kilian M. Pohl , Ehsan Adeli

Convolutional neural network is a very important model of deep learning. It can help avoid the exploding/vanishing gradient problem and improve the generalizability of a neural network if the singular values of the Jacobian of a layer are…

Machine Learning · Computer Science 2019-07-29 Pei-Chang Guo

We propose a new methodology for parameterized constrained robust optimization, an important class of optimization problems under uncertainty, based on learning with a self-supervised penalty-based loss function. Whereas supervised learning…

Optimization and Control · Mathematics 2025-03-10 Wyame Benslimane , Paul Grigas

In many applications, data come with a natural ordering. This ordering can often induce local dependence among nearby variables. However, in complex data, the width of this dependence may vary, making simple assumptions such as a constant…

Statistics Theory · Mathematics 2017-12-11 Guo Yu , Jacob Bien

This paper focuses on inverse reinforcement learning for autonomous navigation using distance and semantic category observations. The objective is to infer a cost function that explains demonstrated behavior while relying only on the…

Machine Learning · Computer Science 2021-01-05 Tianyu Wang , Vikas Dhiman , Nikolay Atanasov

Efficient probabilistic inference by variable elimination in graphical models requires an optimal elimination order. However, finding an optimal order is a challenging combinatorial optimisation problem for models with a large number of…

Artificial Intelligence · Computer Science 2025-03-13 Sagad Hamid , Tanya Braun

We introduce a novel data-driven approach aimed at designing high-quality shape deformations based on a coarse localized input signal. Unlike previous data-driven methods that require a global shape encoding, we observe that…

Graphics · Computer Science 2024-10-14 Ramana Sundararaman , Nicolas Donati , Simone Melzi , Etienne Corman , Maks Ovsjanikov

This work investigates three methods for calculating loss for autoencoder-based pretraining of image encoders: The commonly used reconstruction loss, the more recently introduced deep perceptual similarity loss, and a feature prediction…

Computer Vision and Pattern Recognition · Computer Science 2021-05-19 Gustav Grund Pihlgren , Fredrik Sandin , Marcus Liwicki

This work studies the multi-task functional linear regression models where both the covariates and the unknown regression coefficients (called slope functions) are curves. For slope function estimation, we employ penalized splines to…

Statistics Theory · Mathematics 2023-08-02 Shiyuan He , Hanxuan Ye , Kejun He

Reinforcement learning provides a framework for learning control policies that can reproduce diverse motions for simulated characters. However, such policies often exploit unnatural high-frequency signals that are unachievable by humans or…

Robotics · Computer Science 2026-02-23 Zhaoming Xie , Kevin Karol , Jessica Hodgins

We study settings where gradient penalties are used alongside risk minimization with the goal of obtaining predictors satisfying different notions of monotonicity. Specifically, we present two sets of contributions. In the first part of the…

Machine Learning · Computer Science 2022-05-18 Joao Monteiro , Mohamed Osama Ahmed , Hossein Hajimirsadeghi , Greg Mori

A regularized minimization model with $l_1$-norm penalty (RP) is introduced for training the autoencoders that belong to a class of two-layer neural networks. We show that the RP can act as an exact penalty model which shares the same…

Optimization and Control · Mathematics 2022-04-22 Wei Liu , Xin Liu , Xiaojun Chen

The popular softmax loss and its recent extensions have achieved great success in the deep learning-based image classification. However, the data for training image classifiers usually has different quality. Ignoring such problem, the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Weihua Liu , Xiabi Liu , Murong Wang , Ling Ma

Learning-based lossy image compression usually involves the joint optimization of rate-distortion performance. Most existing methods adopt spatially invariant bit length allocation and incorporate discrete entropy approximation to constrain…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Mu Li , Wangmeng Zuo , Shuhang Gu , Jane You , David Zhang

Deep neural networks usually benefit from unsupervised pre-training, e.g. auto-encoders. However, the classifier further needs supervised fine-tuning methods for good discrimination. Besides, due to the limits of full-connection, the…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Hailin Shi , Xiangyu Zhu , Zhen Lei , Shengcai Liao , Stan Z. Li

Learning feature detection has been largely an unexplored area when compared to handcrafted feature detection. Recent learning formulations use the covariant constraint in their loss function to learn covariant detectors. However, just…

Computer Vision and Pattern Recognition · Computer Science 2018-11-04 Nehal Doiphode , Rahul Mitra , Shuaib Ahmed , Arjun Jain

The use of high-dimensional features has become a normal practice in many computer vision applications. The large dimension of these features is a limiting factor upon the number of data points which may be effectively stored and processed,…

Computer Vision and Pattern Recognition · Computer Science 2015-06-18 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

We introduce an approach for incremental learning that preserves feature descriptors of training images from previously learned classes, instead of the images themselves, unlike most existing work. Keeping the much lower-dimensional feature…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Ahmet Iscen , Jeffrey Zhang , Svetlana Lazebnik , Cordelia Schmid
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