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Although deep learning models have taken on commercial and political relevance, key aspects of their training and operation remain poorly understood. This has sparked interest in science of deep learning projects, many of which require…

机器学习 · 计算机科学 2024-06-06 Sam Greydanus , Dmitry Kobak

We introduce MedMNIST v2, a large-scale MNIST-like dataset collection of standardized biomedical images, including 12 datasets for 2D and 6 datasets for 3D. All images are pre-processed into a small size of 28x28 (2D) or 28x28x28 (3D) with…

计算机视觉与模式识别 · 计算机科学 2023-02-20 Jiancheng Yang , Rui Shi , Donglai Wei , Zequan Liu , Lin Zhao , Bilian Ke , Hanspeter Pfister , Bingbing Ni

Multidimensional scaling is an important dimension reduction tool in statistics and machine learning. Yet few theoretical results characterizing its statistical performance exist, not to mention any in high dimensions. By considering a…

统计方法学 · 统计学 2022-03-30 Xiucai Ding , Qiang Sun

Most density-based clustering methods largely rely on how well the underlying density is estimated. However, density estimation itself is also a challenging problem, especially the determination of the kernel bandwidth. A large bandwidth…

机器学习 · 统计学 2015-12-08 Teng Qiu , Yongjie Li

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

统计方法学 · 统计学 2015-08-10 Luca Scrucca

Small datasets like MNIST have historically been instrumental in advancing machine learning research by providing a controlled environment for rapid experimentation and model evaluation. However, their simplicity often limits their utility…

机器学习 · 计算机科学 2026-02-17 Michael Beebe , GodsGift Uzor , Manasa Chepuri , Divya Sree Vemula , Angel Ayala

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

数据分析、统计与概率 · 物理学 2017-10-16 Kevin McIlhany , Stephen Wiggins

The MNIST dataset has become a standard benchmark for learning, classification and computer vision systems. Contributing to its widespread adoption are the understandable and intuitive nature of the task, its relatively small size and…

计算机视觉与模式识别 · 计算机科学 2017-03-02 Gregory Cohen , Saeed Afshar , Jonathan Tapson , André van Schaik

Neural networks are often benchmarked using standard datasets such as MNIST, FashionMNIST, or other variants of MNIST, which, while accessible, are limited to generic classes such as digits or clothing items. For researchers working on…

机器学习 · 计算机科学 2025-07-17 Pouya Shaeri , Arash Karimi , Ariane Middel

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

机器学习 · 统计学 2018-05-29 Shohei Hidaka , Neeraj Kashyap

Multiple clustering aims at discovering diverse ways of organizing data into clusters. Despite the progress made, it's still a challenge for users to analyze and understand the distinctive structure of each output clustering. To ease this…

机器学习 · 计算机科学 2019-07-29 Xing Wang , Jun Wang , Carlotta Domeniconi , Guoxian Yu , Guoqiang Xiao , Maozu Guo

Modern large-scale datasets are frequently said to be high-dimensional. However, their data point clouds frequently possess structures, significantly decreasing their intrinsic dimensionality (ID) due to the presence of clusters, points…

机器学习 · 计算机科学 2019-01-21 Luca Albergante , Jonathan Bac , Andrei Zinovyev

Datasets in high-dimension do not typically form clusters in their original space; the issue is worse when the number of points in the dataset is small. We propose a low-computation method to find statistically significant clustering…

机器学习 · 统计学 2020-08-24 Alden Bradford , Tarun Yellamraju , Mireille Boutin

The rapid emergence of high-dimensional data in various areas has brought new challenges to current ensemble clustering research. To deal with the curse of dimensionality, recently considerable efforts in ensemble clustering have been made…

机器学习 · 计算机科学 2021-09-07 Dong Huang , Chang-Dong Wang , Jian-Huang Lai , Chee-Keong Kwoh

The research presents an overhead view of 10 important objects and follows the general formatting requirements of the most popular machine learning task: digit recognition with MNIST. This dataset offers a public benchmark extracted from…

计算机视觉与模式识别 · 计算机科学 2021-02-09 David Noever , Samantha E. Miller Noever

Popular clustering algorithms based on usual distance functions (e.g., Euclidean distance) often suffer in high dimension, low sample size (HDLSS) situations, where concentration of pairwise distances has adverse effects on their…

统计方法学 · 统计学 2019-05-03 Soham Sarkar , Anil K. Ghosh

This research implements an advanced unsupervised clustering system for MNIST handwritten digits through two-phase deep autoencoder architecture. A deep neural autoencoder requires a training process during phase one to develop minimal yet…

机器学习 · 计算机科学 2025-06-13 Md. Faizul Islam Ansari

In machine learning and data mining, Cluster analysis is one of the most widely used unsupervised learning technique. Philosophy of this algorithm is to find similar data items and group them together based on any distance function in…

机器学习 · 统计学 2018-10-09 Kumarjit Pathak , Jitin Kapila

In this letter, we contribute a multi-language handwritten digit recognition dataset named MNIST-MIX, which is the largest dataset of the same type in terms of both languages and data samples. With the same data format with MNIST, MNIST-MIX…

计算机视觉与模式识别 · 计算机科学 2021-01-28 Weiwei Jiang

Dataset distillation (DD) has emerged as a widely adopted technique for crafting a synthetic dataset that captures the essential information of a training dataset, facilitating the training of accurate neural models. Its applications span…

机器学习 · 计算机科学 2025-02-04 Saeed Vahidian , Mingyu Wang , Jianyang Gu , Vyacheslav Kungurtsev , Wei Jiang , Yiran Chen
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