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We present a novel framework for domain adaptation, whereby both geometric and statistical differences between a labeled source domain and unlabeled target domain can be integrated by exploiting the curved Riemannian geometry of statistical…

机器学习 · 计算机科学 2018-05-01 Sridhar Mahadevan , Bamdev Mishra , Shalini Ghosh

Meta-learning, or "learning to learn," aims to enable models to quickly adapt to new tasks with minimal data. While traditional methods like Model-Agnostic Meta-Learning (MAML) optimize parameters in Euclidean space, they often struggle to…

机器学习 · 计算机科学 2025-03-17 JuneYoung Park , YuMi Lee , Tae-Joon Kim , Jang-Hwan Choi

We present a novel unsupervised domain adaptation method for semantic segmentation that generalizes a model trained with source images and corresponding ground-truth labels to a target domain. A key to domain adaptive semantic segmentation…

计算机视觉与模式识别 · 计算机科学 2022-07-25 Geon Lee , Chanho Eom , Wonkyung Lee , Hyekang Park , Bumsub Ham

Modern machine learning increasingly leverages the insight that high-dimensional data often lie near low-dimensional, non-linear manifolds, an idea known as the manifold hypothesis. By explicitly modeling the geometric structure of data…

机器学习 · 计算机科学 2026-03-02 Willem Diepeveen , Deanna Needell

In recent years, manifold learning has become increasingly popular as a tool for performing non-linear dimensionality reduction. This has led to the development of numerous algorithms of varying degrees of complexity that aim to recover man…

机器学习 · 统计学 2013-06-03 Dominique Perraul-Joncas , Marina Meila

Retrieval systems rely on representations learned by increasingly powerful models. However, due to the high training cost and inconsistencies in learned representations, there is significant interest in facilitating communication between…

机器学习 · 计算机科学 2026-05-20 Simone Ricci , Niccolò Biondi , Federico Pernici , Ioannis Patras , Alberto Del Bimbo

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

数值分析 · 数学 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Regularization techniques are widely employed in optimization-based approaches for solving ill-posed inverse problems in data analysis and scientific computing. These methods are based on augmenting the objective with a penalty function,…

最优化与控制 · 数学 2021-06-08 Yong Sheng Soh , Venkat Chandrasekaran

In this paper, we examine an important problem of learning neural networks that certifiably meet certain specifications on input-output behaviors. Our strategy is to find an inner approximation of the set of admissible policy parameters,…

系统与控制 · 电气工程与系统科学 2022-02-24 Zain ul Abdeen , He Yin , Vassilis Kekatos , Ming Jin

We propose a novel manifold based geometric approach for learning unsupervised alignment of word embeddings between the source and the target languages. Our approach formulates the alignment learning problem as a domain adaptation problem…

机器学习 · 计算机科学 2020-04-21 Pratik Jawanpuria , Mayank Meghwanshi , Bamdev Mishra

A number of image-processing problems can be formulated as optimization problems. The objective function typically contains several terms specifically designed for different purposes. Parameters in front of these terms are used to control…

医学物理 · 物理学 2017-11-02 Chenyang Shen , Yesenia Gonzalez , Liyuan Chen , Steve B. Jiang , Xun Jia

Multi-domain graph pre-training integrates knowledge from diverse domains to enhance performance in the target domains, which is crucial for building graph foundation models. Despite initial success, existing solutions often fall short of…

机器学习 · 计算机科学 2026-03-03 Li Sun , Zhenhao Huang , Silei Chen , Lanxu Yang , Junda Ye , Sen Su , Philip S. Yu

We study geometric properties of the gradient flow for learning deep linear convolutional networks. For linear fully connected networks, it has been shown recently that the corresponding gradient flow on parameter space can be written as a…

机器学习 · 计算机科学 2026-04-07 El Mehdi Achour , Kathlén Kohn , Holger Rauhut

In this paper, we develop a new classification method for manifold-valued data in the framework of probabilistic learning vector quantization. In many classification scenarios, the data can be naturally represented by symmetric positive…

机器学习 · 计算机科学 2021-02-02 Fengzhen Tang , Haifeng Feng , Peter Tino , Bailu Si , Daxiong Ji

Recently, a variety of regularization techniques have been widely applied in deep neural networks, such as dropout, batch normalization, data augmentation, and so on. These methods mainly focus on the regularization of weight parameters to…

机器学习 · 计算机科学 2019-08-16 Qianggang Ding , Sifan Wu , Hao Sun , Jiadong Guo , Shu-Tao Xia

In this paper, we aim at tackling a general but interesting cross-modality feature learning question in remote sensing community --- can a limited amount of highly-discrimin-ative (e.g., hyperspectral) training data improve the performance…

计算机视觉与模式识别 · 计算机科学 2019-12-19 Danfeng Hong , Naoto Yokoya , Nan Ge , Jocelyn Chanussot , Xiao Xiang Zhu

This paper explores the reconstruction of a space-dependent parameter in inverse diffusion problems, proposing a shape-optimization-based approach. We consider a Robin boundary condition, physically motivated in diffuse optical tomography…

数值分析 · 数学 2026-01-27 Manabu Machida , Hirofumi Notsu , Julius Fergy Tiongson Rabago

A regular convolution layer applying a filter in the same way over known and unknown areas causes visual artifacts in the inpainted image. Several studies address this issue with feature re-normalization on the output of the convolution.…

计算机视觉与模式识别 · 计算机科学 2020-11-03 Håkon Hukkelås , Frank Lindseth , Rudolf Mester

Diverse inverse problems in imaging can be cast as variational problems composed of a task-specific data fidelity term and a regularization term. In this paper, we propose a novel learnable general-purpose regularizer exploiting recent…

最优化与控制 · 数学 2020-02-19 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

This paper proposes new algorithms for the metric learning problem. We start by noticing that several classical metric learning formulations from the literature can be viewed as modified covariance matrix estimation problems. Leveraging…