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Multi-output is essential in machine learning that it might suffer from nonconforming residual distributions, i.e., the multi-output residual distributions are not conforming to the expected distribution. In this paper, we propose "Wrapped…

Machine Learning · Computer Science 2019-09-10 Chun Ting Liu , Ming Chuan Yang , Meng Chang Chen

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Shaohui Liu , Yinda Zhang , Songyou Peng , Boxin Shi , Marc Pollefeys , Zhaopeng Cui

We consider the reconstruction of a bandlimited function from its finite localized sample data. Truncating the classical Shannon sampling series results in an unsatisfactory convergence rate due to the slow decay of the sinc function. To…

Numerical Analysis · Mathematics 2018-11-07 Rongrong Lin

Most of the existing works use projection functions for ternary quantization in discrete space. Scaling factors and thresholds are used in some cases to improve the model accuracy. However, the gradients used for optimization are inaccurate…

Computer Vision and Pattern Recognition · Computer Science 2022-12-27 Dan Liu , Xue Liu

We propose an extension of a special form of gradient descent -- in the literature known as linearised Bregman iteration -- to a larger class of non-convex functions. We replace the classical (squared) two norm metric in the gradient…

Optimization and Control · Mathematics 2021-05-26 Martin Benning , Marta M. Betcke , Matthias J. Ehrhardt , Carola-Bibiane Schönlieb

We present a new nonempirical density functional generalized gradient approximation (GGA) that gives significant improvements for lattice constants, crystal structures, and metal surface energies over the most popular Perdew-Burke-Ernzerhof…

Materials Science · Physics 2009-11-11 Zhigang Wu , Ronald E. Cohen

Utilizing task-invariant knowledge acquired from related tasks as prior information, meta-learning offers a principled approach to learning a new task with limited data records. Sample-efficient adaptation of this prior information is a…

Machine Learning · Computer Science 2025-09-03 Yilang Zhang , Bingcong Li , Georgios B. Giannakis

Communication has been seen as a significant bottleneck in industrial applications over large-scale networks. To alleviate the communication burden, sign-based optimization algorithms have gained popularity recently in both industrial and…

Optimization and Control · Mathematics 2021-09-07 Xiuxian Li , Kuo-Yi Lin , Li Li , Yiguang Hong , Jie Chen

We study the performance of Stochastic Cubic Regularized Newton (SCRN) on a class of functions satisfying gradient dominance property with $1\le\alpha\le2$ which holds in a wide range of applications in machine learning and signal…

Machine Learning · Computer Science 2023-01-24 Saeed Masiha , Saber Salehkaleybar , Niao He , Negar Kiyavash , Patrick Thiran

The $O(1/k^2)$ convergence rate in function value of accelerated gradient descent is optimal, but there are many modifications that have been used to speed up convergence in practice. Among these modifications are restarts, that is,…

Optimization and Control · Mathematics 2023-10-12 Walaa M. Moursi , Viktor Pavlovic , Stephen A. Vavasis

This article revisits the problem of Bayesian shape-restricted inference in the light of a recently developed approximate Gaussian process that admits an equivalent formulation of the shape constraints in terms of the basis coefficients. We…

Methodology · Statistics 2019-02-14 Pallavi Ray , Debdeep Pati , Anirban Bhattacharya

This work addresses the problems of semantic segmentation and image super-resolution by jointly considering the performance of both in training a Generative Adversarial Network (GAN). We propose a novel architecture and domain-specific…

Computer Vision and Pattern Recognition · Computer Science 2022-05-19 Tristan Frizza , Donald G. Dansereau , Nagita Mehr Seresht , Michael Bewley

Random Reshuffling (RR) is an algorithm for minimizing finite-sum functions that utilizes iterative gradient descent steps in conjunction with data reshuffling. Often contrasted with its sibling Stochastic Gradient Descent (SGD), RR is…

Optimization and Control · Mathematics 2021-04-06 Konstantin Mishchenko , Ahmed Khaled , Peter Richtárik

Retinal images have the highest resolution and clarity among medical images. Thus, vessel analysis in retinal images may facilitate early diagnosis and treatment of many chronic diseases. In this paper, we propose a novel multi-scale…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Kyoung Jin Noh , Sang Jun Park , Soochahn Lee

We propose a long-range corrected hybrid meta-GGA functional, based on a global hybrid meta-GGA functional, M05 [Y. Zhao, N. E. Schultz, and D. G. Truhlar, J. Chem. Phys. 123, 161103 (2005)], and empirical atom-atom dispersion corrections.…

Chemical Physics · Physics 2015-06-03 You-Sheng Lin , Chen-Wei Tsai , Guan-De Li , Jeng-Da Chai

Continuous learning seeks to perform the learning on the data that arrives from time to time. While prior works have demonstrated several possible solutions, these approaches require excessive training time as well as memory usage. This is…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Chih-Hsing Ho , Shang-Ho , Tsai

We present a family of algorithms, called descent algorithms, for optimizing convex and non-convex functions. We also introduce a new first-order algorithm, called rescaled gradient descent (RGD), and show that RGD achieves a faster…

Optimization and Control · Mathematics 2020-01-07 Ashia Wilson , Lester Mackey , Andre Wibisono

Recent image degradation estimation methods have enabled single-image super-resolution (SR) approaches to better upsample real-world images. Among these methods, explicit kernel estimation approaches have demonstrated unprecedented…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Royson Lee , Rui Li , Stylianos I. Venieris , Timothy Hospedales , Ferenc Huszár , Nicholas D. Lane

Grasping objects is one of the most important abilities that a robot needs to master in order to interact with its environment. Current state-of-the-art methods rely on deep neural networks trained to jointly predict a graspability score…

Robotics · Computer Science 2021-04-01 Amaury Depierre , Emmanuel Dellandréa , Liming Chen

Gaussian Splatting has revolutionized the world of novel view synthesis by achieving high rendering performance in real-time. Recently, studies have focused on enriching these 3D representations with semantic information for downstream…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Mihnea-Bogdan Jurca , Remco Royen , Ion Giosan , Adrian Munteanu