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We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

统计理论 · 数学 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

Automated sensing instruments on satellites and aircraft have enabled the collection of massive amounts of high-resolution observations of spatial fields over large spatial regions. If these datasets can be efficiently exploited, they can…

统计方法学 · 统计学 2015-12-08 Matthias Katzfuss

Geometric median (\textsc{Gm}) is a classical method in statistics for achieving a robust estimation of the uncorrupted data; under gross corruption, it achieves the optimal breakdown point of 0.5. However, its computational complexity…

机器学习 · 计算机科学 2021-06-17 Anish Acharya , Abolfazl Hashemi , Prateek Jain , Sujay Sanghavi , Inderjit S. Dhillon , Ufuk Topcu

In ordinary Dimensionality Reduction (DR), each data instance in a high dimensional space (original space), or on a distance matrix denoting original space distances, is mapped to (projected onto) one point in a low dimensional space…

计算机视觉与模式识别 · 计算机科学 2022-06-28 Farshad Barahimi

Dimension reduction is often an important step in the analysis of high-dimensional data. PCA is a popular technique to find the best low-dimensional approximation of high-dimensional data. However, classical PCA is very sensitive to…

统计计算 · 统计学 2019-01-14 Holger Cevallos-Valdiviezo , Stefan Van Aelst

Unsupervised machine learning lacks ground truth by definition. This poses a major difficulty when designing metrics to evaluate the performance of such algorithms. In sharp contrast with supervised learning, for which plenty of quality…

Latent variable models represent a useful tool for the analysis of complex data when the constructs of interest are not observable. A problem related to these models is that the integrals involved in the likelihood function cannot be solved…

统计方法学 · 统计学 2015-03-05 Silvia Bianconcini , Silvia Cagnone , Dimitris Rizopoulos

Deep learning-based methods have shown remarkable success for various image restoration tasks such as denoising and deblurring. The current state-of-the-art networks are relatively deep and utilize (variants of) self attention mechanisms.…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Youssef Mansour , Reinhard Heckel

One of the fundamental problems within the field of machine learning is dimensionality reduction. Dimensionality reduction methods make it possible to combat the so-called curse of dimensionality, visualize high-dimensional data and, in…

机器学习 · 计算机科学 2025-05-12 Sergio García-Heredia , Ángela Fernández , Carlos M. Alaíz

Gaussian Mixture Models (GMMs) are a standard tool in data analysis. However, they face problems when applied to high-dimensional data (e.g., images) due to the size of the required full covariance matrices (CMs), whereas the use of…

机器学习 · 计算机科学 2023-08-29 Alexander Gepperth

Timely detection of abrupt anomalies is crucial for real-time monitoring and security of modern systems producing high-dimensional data. With this goal, we propose effective and scalable algorithms. Proposed algorithms are nonparametric as…

机器学习 · 计算机科学 2020-02-19 Mehmet Necip Kurt , Yasin Yilmaz , Xiaodong Wang

Energy consumption of memory accesses dominates the compute energy in energy-constrained robots which require a compact 3D map of the environment to achieve autonomy. Recent mapping frameworks only focused on reducing the map size while…

机器人学 · 计算机科学 2024-01-23 Peter Zhi Xuan Li , Sertac Karaman , Vivienne Sze

This paper presents an extensive empirical study on the integration of dimensionality reduction techniques with advanced unsupervised time series anomaly detection models, focusing on the MUTANT and Anomaly-Transformer models. The study…

机器学习 · 计算机科学 2024-03-08 Mahsun Altin , Altan Cakir

Understanding how nonlinear dynamical systems (e.g., artificial neural networks and neural circuits) process information requires comparing their underlying dynamics at scale, across diverse architectures and large neural recordings. While…

人工智能 · 计算机科学 2026-04-03 Arman Behrad , Mitchell Ostrow , Mohammad Taha Fakharian , Ila Fiete , Christian Beste , Shervin Safavi

Modern recording techniques enable neuroscientists to simultaneously study neural activity across large populations of neurons, with capturing predictor-dependent correlations being a fundamental challenge in neuroscience. Moreover, the…

应用统计 · 统计学 2025-02-04 Ganchao Wei

Dimensionality Reduction plays a pivotal role in improving feature learning accuracy and reducing training time by eliminating redundant features, noise, and irrelevant data. Nonnegative Matrix Factorization (NMF) has emerged as a popular…

机器学习 · 计算机科学 2024-05-07 Farid Saberi-Movahed , Kamal Berahman , Razieh Sheikhpour , Yuefeng Li , Shirui Pan

Differentiable neural architecture search (DNAS) is known for its capacity in the automatic generation of superior neural networks. However, DNAS based methods suffer from memory usage explosion when the search space expands, which may…

机器学习 · 计算机科学 2021-09-14 Zheyu Yan , Weiwen Jiang , Xiaobo Sharon Hu , Yiyu Shi

Scalable persistent memory (PM) has opened up new opportunities for building indexes that operate and persist data directly on the memory bus, potentially enabling instant recovery, low latency and high throughput. When real PM hardware…

数据库 · 计算机科学 2022-07-29 Yuliang He , Duo Lu , Kaisong Huang , Tianzheng Wang

Multi-fidelity modelling arises in many situations in computational science and engineering world. It enables accurate inference even when only a small set of accurate data is available. Those data often come from a high-fidelity model,…

机器学习 · 统计学 2022-04-12 Jiahao Zhang , Shiqi Zhang , Guang Lin

MCAS (Memory Centric Active Storage) is a persistent memory tier for high-performance durable data storage. It is designed from the ground-up to provide a key-value capability with low-latency guarantees and data durability through memory…

数据库 · 计算机科学 2021-04-14 Daniel Waddington , Clem Dickey , Luna Xu , Moshik Hershcovitch , Sangeetha Seshadri