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Current deep learning methods for low-light image enhancement (LLIE) typically rely on pixel-wise mapping learned from paired data. However, these methods often overlook the importance of considering degradation representations, which can…

计算机视觉与模式识别 · 计算机科学 2023-07-28 Tao Wang , Kaihao Zhang , Ziqian Shao , Wenhan Luo , Bjorn Stenger , Tae-Kyun Kim , Wei Liu , Hongdong Li

Equations governing physico-chemical processes are usually known at microscopic spatial scales, yet one suspects that there exist equations, e.g. in the form of Partial Differential Equations (PDEs), that can explain the system evolution at…

机器学习 · 统计学 2021-03-31 Hassan Arbabi , Ioannis Kevrekidis

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

机器学习 · 计算机科学 2012-07-02 Koby Crammer , Amir Globerson

The neural network-based approach to solving partial differential equations has attracted considerable attention due to its simplicity and flexibility in representing the solution of the partial differential equation. In training a neural…

机器学习 · 计算机科学 2022-01-10 Jihun Han , Yoonsang Lee

In contrast with many other convex optimization classes, state-of-the-art semidefinite programming solvers are yet unable to efficiently solve large scale instances. This work aims to reduce this scalability gap by proposing a novel…

最优化与控制 · 数学 2018-12-20 Mario Souto , Joaquim D. Garcia , Alvaro Veiga

Latent representation learned from multi-layered neural networks via hierarchical feature abstraction enables recent success of deep learning. Under the deep learning framework, generalization performance highly depends on the learned…

机器学习 · 计算机科学 2016-11-07 Hyo-Eun Kim , Sangheum Hwang , Kyunghyun Cho

Multi-task learning (MTL) is an efficient solution to solve multiple tasks simultaneously in order to get better speed and performance than handling each single-task in turn. The most current methods can be categorized as either: (i) hard…

计算机视觉与模式识别 · 计算机科学 2019-12-02 Yifan Liu , Bohan Zhuang , Chunhua Shen , Hao Chen , Wei Yin

In this paper, we investigate the problem of optimization multivariate performance measures, and propose a novel algorithm for it. Different from traditional machine learning methods which optimize simple loss functions to learn prediction…

机器学习 · 计算机科学 2015-08-03 Jiachen Yanga , Zhiyong Dinga , Fei Guoa , Huogen Wanga , Nick Hughesb

One of the most important parts of Artificial Neural Networks is minimizing the loss functions which tells us how good or bad our model is. To minimize these losses we need to tune the weights and biases. Also to calculate the minimum value…

机器学习 · 计算机科学 2021-01-08 Kaustubh Yadav

Data-driven methods have recently made great progress in the discovery of partial differential equations (PDEs) from spatial-temporal data. However, several challenges remain to be solved, including sparse noisy data, incomplete candidate…

计算物理 · 物理学 2021-09-28 Hao Xu , Dongxiao Zhang , Junsheng Zeng

Accurate image segmentation remains challenging, particularly in generating sharp, confident boundaries. While modern architectures have advanced the field, many of them still rely on standard loss functions like Cross-Entropy and Dice,…

计算机视觉与模式识别 · 计算机科学 2026-05-15 Adam Dawid Sztamborski , Raül Pérez-Gonzalo , Antonio Agudo

Constraint-based causal discovery is widely used for learning causal structures, but heavy reliance on conditional independence (CI) testing makes it computationally expensive in high-dimensional settings. To mitigate this limitation, many…

机器学习 · 计算机科学 2026-05-12 Zheng Li , Feng Xie , Shenglan Nie , Xichen Guo , Ruxin Wang , Hao Zhang

Gradient-based optimization has been a cornerstone of machine learning that enabled the vast advances of Artificial Intelligence (AI) development over the past decades. However, this type of optimization requires differentiation, and with…

The great advances of learning-based approaches in image processing and computer vision are largely based on deeply nested networks that compose linear transfer functions with suitable non-linearities. Interestingly, the most frequently…

计算机视觉与模式识别 · 计算机科学 2018-03-26 Peter Ochs , Tim Meinhardt , Laura Leal-Taixe , Michael Moeller

Embedding parameterized optimization problems as layers into machine learning architectures serves as a powerful inductive bias. Training such architectures with stochastic gradient descent requires care, as degenerate derivatives of the…

机器学习 · 计算机科学 2024-12-16 Anselm Paulus , Georg Martius , Vít Musil

Representational learning forms the backbone of most deep learning applications, and the value of a learned representation is intimately tied to its information content regarding different factors of variation. Finding good representations…

机器学习 · 计算机科学 2022-03-31 Kieran A. Murphy , Varun Jampani , Srikumar Ramalingam , Ameesh Makadia

As a popular tool for producing meaningful and interpretable models, large-scale sparse learning works efficiently when the underlying structures are indeed or close to sparse. However, naively applying the existing regularization methods…

统计方法学 · 统计学 2017-10-10 Zemin Zheng , Jinchi Lv , Wei Lin

Nonlinear differential equations are challenging to solve numerically and are important to understanding the dynamics of many physical systems. Deep neural networks have been applied to help alleviate the computational cost that is…

数值分析 · 数学 2020-10-27 Bryce Chudomelka , Youngjoon Hong , Hyunwoo Kim , Jinyoung Park

We introduce a new loss function for the weakly-supervised training of semantic image segmentation models based on three guiding principles: to seed with weak localization cues, to expand objects based on the information about which classes…

计算机视觉与模式识别 · 计算机科学 2016-08-09 Alexander Kolesnikov , Christoph H. Lampert

Neural networks have shown promising potential in accelerating the numerical simulation of systems governed by partial differential equations (PDEs). Different from many existing neural network surrogates operating on high-dimensional…