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We study the theoretical and practical runtime limits of k-means and k-median clustering on large datasets. Since effectively all clustering methods are slower than the time it takes to read the dataset, the fastest approach is to quickly…

Machine Learning · Computer Science 2024-04-03 Andrew Draganov , David Saulpic , Chris Schwiegelshohn

Clustering is a powerful machine learning technique that groups "similar" data points based on their characteristics. Many clustering algorithms work by approximating the minimization of an objective function, namely the sum of…

Quantum Physics · Physics 2018-01-29 Vaibhaw Kumar , Gideon Bass , Casey Tomlin , Joseph Dulny

Compressed sensing is an image reconstruction technique to achieve high-quality results from limited amount of data. In order to achieve this, it utilizes prior knowledge about the samples that shall be reconstructed. Focusing on image…

In this paper we consider clustering problems in which each point is endowed with a color. The goal is to cluster the points to minimize the classical clustering cost but with the additional constraint that no color is over-represented in…

Data Structures and Algorithms · Computer Science 2019-05-31 Sara Ahmadian , Alessandro Epasto , Ravi Kumar , Mohammad Mahdian

Image compression and reconstruction are crucial for various digital applications. While contemporary neural compression methods achieve impressive compression rates, the adoption of such technology has been largely hindered by the…

Machine Learning · Computer Science 2025-10-06 Ethan G. Rogers , Cheng Wang

In this paper, we present novel variations of an earlier approach called homogeneous clustering algorithm for reducing dataset size. The intuition behind the approaches proposed in this paper is to partition the dataset into homogeneous…

Machine Learning · Computer Science 2022-08-30 Shril Mody , Janvi Thakkar , Devvrat Joshi , Siddharth Soni , Rohan Patil , Nipun Batra

Diffusion-based image generation models can enhance image quality when conditioned on ground truth labels. Here, we conduct a comprehensive experimental study on image-level conditioning for diffusion models using cluster assignments. We…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Nikolas Adaloglou , Tim Kaiser , Felix Michels , Markus Kollmann

Scaling clustering algorithms to massive data sets is a challenging task. Recently, several successful approaches based on data summarization methods, such as coresets and sketches, were proposed. While these techniques provide provably…

Machine Learning · Statistics 2018-02-21 Olivier Bachem , Mario Lucic , Silvio Lattanzi

Image segmentation is a popular area of research in computer vision that has many applications in automated image processing. A recent technique called piecewise flat embeddings (PFE) has been proposed for use in image segmentation; PFE…

Computer Vision and Pattern Recognition · Computer Science 2016-12-21 Renee T. Meinhold , Tyler L. Hayes , Nathan D. Cahill

We propose a novel agglomerative clustering method based on unmasking, a technique that was previously used for authorship verification of text documents and for abnormal event detection in videos. In order to join two clusters, we…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Mariana-Iuliana Georgescu , Radu Tudor Ionescu

Molecular simulations produce very high-dimensional data-sets with millions of data points. As analysis methods are often unable to cope with so many dimensions, it is common to use dimensionality reduction and clustering methods to reach a…

Machine Learning · Statistics 2017-11-03 Stefan Doerr , Igor Ariz-Extreme , Matthew J. Harvey , Gianni De Fabritiis

We introduce a sketch-and-solve approach to speed up the Peng-Wei semidefinite relaxation of k-means clustering. When the data is appropriately separated we identify the k-means optimal clustering. Otherwise, our approach provides a…

Machine Learning · Computer Science 2022-11-30 Charles Clum , Dustin G. Mixon , Soledad Villar , Kaiying Xie

The exploitation of traces in JPEG double compressed images is of utter importance for investigations. Properly exploiting such insights, First Quantization Estimation (FQE) could be performed in order to obtain source camera model…

Image and Video Processing · Electrical Eng. & Systems 2021-04-09 Sebastiano Battiato , Oliver Giudice , Francesco Guarnera , Giovanni Puglisi

We propose an algorithm for clustering high dimensional data. If $P$ features for $N$ objects are represented in an $N\times P$ matrix ${\bf X}$, where $N\ll P$, the method is based on exploiting the cluster-dependent structure of the…

Machine Learning · Statistics 2018-11-05 Shahina Rahman , Valen E. Johnson

Precise perception of the environment is essential in highly automated driving systems, which rely on machine learning tasks such as object detection and segmentation. Compression of sensor data is commonly used for data handling, while…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Christian Steinhauser , Philipp Reis , Hubert Padusinski , Jacob Langner , Eric Sax

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

Machine Learning · Computer Science 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

Vector quantization(VQ) is a lossy data compression technique from signal processing, which is restricted to feature vectors and therefore inapplicable for combinatorial structures. This contribution presents a theoretical foundation of…

Artificial Intelligence · Computer Science 2010-01-07 Brijnesh J. Jain , Klaus Obermayer

Recent advances in generative compression methods have demonstrated remarkable progress in enhancing the perceptual quality of compressed data, especially in scenarios with low bitrates. However, their efficacy and applicability to achieve…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Qi Mao , Tinghan Yang , Yinuo Zhang , Zijian Wang , Meng Wang , Shiqi Wang , Siwei Ma

Learning-based image compression has improved to a level where it can outperform traditional image codecs such as HEVC and VVC in terms of coding performance. In addition to good compression performance, device interoperability is essential…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Esin Koyuncu , Timofey Solovyev , Elena Alshina , André Kaup

Image instance retrieval is the problem of retrieving images from a database which contain the same object. Convolutional Neural Network (CNN) based descriptors are becoming the dominant approach for generating {\it global image…

Computer Vision and Pattern Recognition · Computer Science 2017-01-19 Vijay Chandrasekhar , Jie Lin , Qianli Liao , Olivier Morère , Antoine Veillard , Lingyu Duan , Tomaso Poggio
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