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In second-order optimization, a potential bottleneck can be computing the Hessian matrix of the optimized function at every iteration. Randomized sketching has emerged as a powerful technique for constructing estimates of the Hessian which…

Optimization and Control · Mathematics 2021-07-16 Michał Dereziński , Jonathan Lacotte , Mert Pilanci , Michael W. Mahoney

The reliability of supervised machine learning systems depends on the accuracy and availability of ground truth labels. However, the process of human annotation, being prone to error, introduces the potential for noisy labels, which can…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 David Tschirschwitz , Christian Benz , Morris Florek , Henrik Norderhus , Benno Stein , Volker Rodehorst

We introduce harmonization, an ensembling method that combines several "noisy" decoders to generate highly accurate decoding predictions. Harmonized ensembles of MWPM-based decoders achieve lower logical error rates than their individual…

Quantum Physics · Physics 2024-03-18 Noah Shutty , Michael Newman , Benjamin Villalonga

This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on…

Databases · Computer Science 2014-02-04 Duo Zhang , Benjamin I. P. Rubinstein , Jim Gemmell

Estimating set similarity and detecting highly similar sets are fundamental problems in areas such as databases, machine learning, and information retrieval. MinHash is a well-known technique for approximating Jaccard similarity of sets and…

Data Structures and Algorithms · Computer Science 2019-05-23 Pinghui Wang , Yiyan Qi , Yuanming Zhang , Qiaozhu Zhai , Chenxu Wang , John C. S. Lui , Xiaohong Guan

This paper considers the problem of subspace clustering under noise. Specifically, we study the behavior of Sparse Subspace Clustering (SSC) when either adversarial or random noise is added to the unlabelled input data points, which are…

Machine Learning · Statistics 2015-01-23 Yu-Xiang Wang , Huan Xu

In the era of big data, methods for improving memory and computational efficiency have become crucial for successful deployment of technologies. Hashing is one of the most effective approaches to deal with computational limitations that…

Computer Vision and Pattern Recognition · Computer Science 2021-06-22 Sobhan Hemati , Mohammad Hadi Mehdizavareh , Shojaeddin Chenouri , Hamid R Tizhoosh

Similarity-preserving hashing is a core technique for fast similarity searches, and it randomly maps data points in a metric space to strings of discrete symbols (i.e., sketches) in the Hamming space. While traditional hashing techniques…

Data Structures and Algorithms · Computer Science 2020-09-25 Shunsuke Kanda , Yasuo Tabei

Sketches, with their expressive potential, allow humans to convey the essence of an object through even a rough contour. For the first time, we harness this expressive potential to improve segmentation performance in challenging tasks like…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Ying Zang , Runlong Cao , Jianqi Zhang , Yidong Han , Ziyue Cao , Wenjun Hu , Didi Zhu , Lanyun Zhu , Zejian Li , Deyi Ji , Tianrun Chen

In low-resource settings, the performance of supervised labeling models can be improved with automatically annotated or distantly supervised data, which is cheap to create but often noisy. Previous works have shown that significant…

Computation and Language · Computer Science 2019-11-06 Lukas Lange , Michael A. Hedderich , Dietrich Klakow

In applications involving matching of image sets, the information from multiple images must be effectively exploited to represent each set. State-of-the-art methods use probabilistic distribution or subspace to model a set and use specific…

Computer Vision and Pattern Recognition · Computer Science 2016-10-04 Jie Feng , Svebor Karaman , I-Hong Jhuo , Shih-Fu Chang

Recent results have shown that lattice codes can be used to construct good channel codes, source codes and physical layer network codes for Gaussian channels. On the other hand, for Gaussian channels with secrecy constraints, efforts to…

Information Theory · Computer Science 2009-05-19 Xiang He , Aylin Yener

In federated frequency estimation (FFE), multiple clients work together to estimate the frequencies of their collective data by communicating with a server that respects the privacy constraints of Secure Summation (SecSum), a cryptographic…

Data Structures and Algorithms · Computer Science 2023-12-05 Jingfeng Wu , Wennan Zhu , Peter Kairouz , Vladimir Braverman

Recently, a novel coded compressed sensing (CCS) approach was proposed in [1] for dealing with the scalability problem for large sensing matrices in massive machine-type communications. The approach is to divide the compressed sensing (CS)…

Networking and Internet Architecture · Computer Science 2021-09-01 Yi-Jheng Lin , Chia-Ming Chang , Cheng-Shang Chang

Recently there has been increased interest in using machine learning techniques to improve classical algorithms. In this paper we study when it is possible to construct compact, composable sketches for weighted sampling and statistics…

Data Structures and Algorithms · Computer Science 2021-11-04 Edith Cohen , Ofir Geri , Rasmus Pagh

CountSketch and Feature Hashing (the "hashing trick") are popular randomized dimensionality reduction methods that support recovery of $\ell_2$-heavy hitters (keys $i$ where $v_i^2 > \epsilon \|\boldsymbol{v}\|_2^2$) and approximate inner…

Data Structures and Algorithms · Computer Science 2022-08-30 Edith Cohen , Jelani Nelson , Tamás Sarlós , Uri Stemmer

An `obfuscation' for encrypted computing is quantified exactly here, leading to an argument that security against polynomial-time attacks has been achieved for user data via the deliberately `chaotic' compilation required for security…

Cryptography and Security · Computer Science 2019-04-30 Peter T. Breuer

Matrix sketching is a recently developed data compression technique. An input matrix A is efficiently approximated with a smaller matrix B, so that B preserves most of the properties of A up to some guaranteed approximation ratio. In so…

Machine Learning · Statistics 2019-12-03 Roberta Falcone , Angela Montanari , Laura Anderlucci

Sketching is a dimensionality reduction technique where one compresses a matrix by linear combinations that are chosen at random. A line of work has shown how to sketch the Hessian to speed up each iteration in a second order method, but…

Machine Learning · Computer Science 2021-10-07 Yi Li , Honghao Lin , David P. Woodruff

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

Cryptography and Security · Computer Science 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen