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A deep convolutional neural network (CNN) has been widely used in image classification and gives better classification accuracy than the other techniques. The softmax cross-entropy loss function is often used for classification tasks. There…

计算机视觉与模式识别 · 计算机科学 2020-04-20 Motoshi Abe , Junichi Miyao , Takio Kurita

Deep metric learning (DML) aims to learn a discriminative high-dimensional embedding space for downstream tasks like classification, clustering, and retrieval. Prior literature predominantly focuses on pair-based and proxy-based methods to…

计算机视觉与模式识别 · 计算机科学 2024-07-04 Xiruo Jiang , Yazhou Yao , Xili Dai , Fumin Shen , Xian-Sheng Hua , Heng-Tao Shen

In this paper, we focus on the separability of classes with the cross-entropy loss function for classification problems by theoretically analyzing the intra-class distance and inter-class distance (i.e. the distance between any two points…

机器学习 · 计算机科学 2019-09-17 Rudrajit Das , Subhasis Chaudhuri

In this paper, we introduce 3D-GMNet, a deep neural network for 3D object shape reconstruction from a single image. As the name suggests, 3D-GMNet recovers 3D shape as a Gaussian mixture. In contrast to voxels, point clouds, or meshes, a…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Kohei Yamashita , Shohei Nobuhara , Ko Nishino

3D Gaussian Splatting (3D-GS) has emerged as an efficient 3D representation and a promising foundation for semantic tasks like segmentation. However, existing 3D-GS-based segmentation methods typically rely on high-dimensional category…

计算机视觉与模式识别 · 计算机科学 2025-12-02 An Yang , Chenyu Liu , Jun Du , Jianqing Gao , Jia Pan , Jinshui Hu , Baocai Yin , Bing Yin , Cong Liu

We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine…

数值分析 · 数学 2021-09-03 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin

Learning discriminative representations is a central goal of supervised deep learning. While cross-entropy (CE) remains the dominant objective for classification, it does not explicitly enforce desirable geometric properties in the…

机器学习 · 计算机科学 2026-04-13 Matheus Vinícius Todescato , Joel Luís Carbonera

The loss functions of deep neural networks are complex and their geometric properties are not well understood. We show that the optima of these complex loss functions are in fact connected by simple curves over which training and test…

Generative adversarial networks (GANs) learn the distribution of observed samples through a zero-sum game between two machine players, a generator and a discriminator. While GANs achieve great success in learning the complex distribution of…

机器学习 · 计算机科学 2020-06-19 Farzan Farnia , William Wang , Subhro Das , Ali Jadbabaie

Ranking tasks constitute fundamental components of extreme similarity learning frameworks, where extremely large corpora of objects are modeled through relative similarity relationships adhering to predefined ordinal structures. Among…

机器学习 · 计算机科学 2025-06-12 Yuanhao Pu , Defu Lian , Xiaolong Chen , Xu Huang , Jin Chen , Enhong Chen

Learning image representations on decentralized data can bring many benefits in cases where data cannot be aggregated across data silos. Softmax cross entropy loss is highly effective and commonly used for learning image representations.…

机器学习 · 计算机科学 2022-03-10 Sagar M. Waghmare , Hang Qi , Huizhong Chen , Mikhail Sirotenko , Tomer Meron

We present a new subspace-based method to construct probabilistic models for high-dimensional data and highlight its use in anomaly detection. The approach is based on a statistical estimation of probability density using densities of…

机器学习 · 计算机科学 2021-08-16 Cetin Savkli , Catherine Schwartz

Color names based image representation is successfully used in person re-identification, due to the advantages of being compact, intuitively understandable as well as being robust to photometric variance. However, there exists the diversity…

计算机视觉与模式识别 · 计算机科学 2017-07-11 Yang Yang , Shengcai Liao , Zhen Lei , Stan Z. Li

We examine here what type of predictive modelling, classification, or regression, using neural networks (NN), fits better the task of soft-demapping based post-processing in coherent optical communications, where the transmission channel is…

信号处理 · 电气工程与系统科学 2022-08-23 Pedro J. Freire , Jaroslaw E. Prilepsky , Yevhenii Osadchuk , Sergei K. Turitsyn , Vahid Aref

Pansharpening is a widely used image enhancement technique for remote sensing. Its principle is to fuse the input high-resolution single-channel panchromatic (PAN) image and low-resolution multi-spectral image and to obtain a…

计算机视觉与模式识别 · 计算机科学 2021-12-01 Zixiang Zhao , Jiangshe Zhang , Shuang Xu , Kai Sun , Lu Huang , Junmin Liu , Chunxia Zhang

Softmax loss is widely used in deep neural networks for multi-class classification, where each class is represented by a weight vector, a sample is represented as a feature vector, and the feature vector has the largest projection on the…

计算机视觉与模式识别 · 计算机科学 2017-05-30 Yuhui Yuan , Kuiyuan Yang , Chao Zhang

Traditional explicit 3D representations, such as point clouds and meshes, demand significant storage to capture fine geometric details and require complex indexing systems for surface lookups, making functional representations an efficient,…

计算机视觉与模式识别 · 计算机科学 2026-04-02 Panagiotis Sapoutzoglou , George Terzakis , Georgios Floros , Maria Pateraki

In classification tasks, softmax functions are ubiquitously used as output activations to produce predictive probabilities. Such outputs only capture aleatoric uncertainty. To capture epistemic uncertainty, approximate Gaussian inference…

机器学习 · 计算机科学 2026-02-12 Bálint Mucsányi , Nathaël Da Costa , Philipp Hennig

With the recent development of new geometric and angular-radial frameworks for multivariate extremes, reliably simulating from angular variables in moderate-to-high dimensions is of increasing importance. Empirical approaches have the…

机器学习 · 统计学 2026-01-01 Jakob Benjamin Wessel , Callum J. R. Murphy-Barltrop , Emma S. Simpson

Distribution learning focuses on learning the probability density function from a set of data samples. In contrast, clustering aims to group similar objects together in an unsupervised manner. Usually, these two tasks are considered…

机器学习 · 计算机科学 2023-08-31 Guanfang Dong , Chenqiu Zhao , Anup Basu