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Similarity-based clustering and semi-supervised learning methods separate the data into clusters or classes according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper,…

Machine Learning · Statistics 2017-09-06 Yingzhen Yang , Feng Liang , Nebojsa Jojic , Shuicheng Yan , Jiashi Feng , Thomas S. Huang

Data sites selected from modeling high-dimensional problems often appear scattered in non-paternalistic ways. Except for sporadic clustering at some spots, they become relatively far apart as the dimension of the ambient space grows. These…

Numerical Analysis · Mathematics 2021-09-28 Shao-Bo Lin , Xiangyu Chang , Xingping Sun

We revisit the classical kernel method of approximation/interpolation theory in a very specific context motivated by the desire to obtain a robust procedure to approximate discrete data sets by (super)level sets of functions that are merely…

Machine Learning · Computer Science 2022-09-14 Patrick Guidotti

The massive upsurge in computational and storage has driven the local data and machine learning applications to the cloud environment. The owners may not fully trust the cloud environment as it is managed by third parties. However,…

Cryptography and Security · Computer Science 2022-12-21 Rishabh Gupta , Ashutosh Kumar Singh

With the increasing importance of data privacy protection, various privacy-preserving machine learning methods have been proposed. In the clustering domain, various algorithms with a federated learning framework (i.e., federated clustering)…

Machine Learning · Computer Science 2024-10-04 Naoki Masuyama , Yusuke Nojima , Yuichiro Toda , Chu Kiong Loo , Hisao Ishibuchi , Naoyuki Kubota

Federated Learning allows distributed entities to train a common model collaboratively without sharing their own data. Although it prevents data collection and aggregation by exchanging only parameter updates, it remains vulnerable to…

Machine Learning · Computer Science 2020-11-12 Raouf Kerkouche , Gergely Ács , Claude Castelluccia , Pierre Genevès

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

Machine Learning · Computer Science 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

Similarity-based clustering methods separate data into clusters according to the pairwise similarity between the data, and the pairwise similarity is crucial for their performance. In this paper, we propose {\em Clustering by Discriminative…

Machine Learning · Computer Science 2022-06-24 Yingzhen Yang , Ping Li

Many methods in differentially private model training rely on computing the similarity between a query point (such as public or synthetic data) and private data. We abstract out this common subroutine and study the following fundamental…

Cryptography and Security · Computer Science 2024-03-15 Arturs Backurs , Zinan Lin , Sepideh Mahabadi , Sandeep Silwal , Jakub Tarnawski

As a promising step, the performance of data analysis and feature learning are able to be improved if certain pattern matching mechanism is available. One of the feasible solutions can refer to the importance estimation of instances, and…

Machine Learning · Computer Science 2020-11-17 Miao Cheng , Xinge You

The success of machine learning algorithms often relies on a large amount of high-quality data to train well-performed models. However, data is a valuable resource and are always held by different parties in reality. An effective solution…

Machine Learning · Computer Science 2020-10-06 Bin Zhang , Cen Chen , Li Wang

We introduce kernel thinning, a new procedure for compressing a distribution $\mathbb{P}$ more effectively than i.i.d. sampling or standard thinning. Given a suitable reproducing kernel $\mathbf{k}_{\star}$ and $O(n^2)$ time, kernel…

Machine Learning · Statistics 2024-05-14 Raaz Dwivedi , Lester Mackey

Clustering is an important tool for data exploration where the goal is to subdivide a data set into disjoint clusters that fit well into the underlying data structure. When dealing with sensitive data, privacy-preserving algorithms aim to…

Cryptography and Security · Computer Science 2024-08-21 Johannes Liebenow , Yara Schütt , Tanya Braun , Marcel Gehrke , Florian Thaeter , Esfandiar Mohammadi

Kernel approximation methods create explicit, low-dimensional kernel feature maps to deal with the high computational and memory complexity of standard techniques. This work studies a supervised kernel learning methodology to optimize such…

Machine Learning · Computer Science 2020-02-17 Mert Al , Zejiang Hou , Sun-Yuan Kung

Although federated learning improves privacy of training data by exchanging local gradients or parameters rather than raw data, the adversary still can leverage local gradients and parameters to obtain local training data by launching…

Machine Learning · Computer Science 2021-08-17 Xue Yang , Yan Feng , Weijun Fang , Jun Shao , Xiaohu Tang , Shu-Tao Xia , Rongxing Lu

Machine learning models are prone to memorizing sensitive data, making them vulnerable to membership inference attacks in which an adversary aims to guess if an input sample was used to train the model. In this paper, we show that prior…

Cryptography and Security · Computer Science 2020-12-10 Liwei Song , Prateek Mittal

The problem of classification in machine learning has often been approached in terms of function approximation. In this paper, we propose an alternative approach for classification in arbitrary compact metric spaces which, in theory, yields…

Machine Learning · Computer Science 2026-03-26 H. N. Mhaskar , Ryan O'Dowd

We propose a general learning framework for the protection mechanisms that protects privacy via distorting model parameters, which facilitates the trade-off between privacy and utility. The algorithm is applicable to arbitrary privacy…

Machine Learning · Computer Science 2023-06-06 Xiaojin Zhang , Wenjie Li , Kai Chen , Shutao Xia , Qiang Yang

In order to fully utilize "big data", it is often required to use "big models". Such models tend to grow with the complexity and size of the training data, and do not make strong parametric assumptions upfront on the nature of the…

Machine Learning · Statistics 2015-04-17 Vikas Sindhwani , Haim Avron

We show that the influence of a subset of the training samples can be removed -- or "forgotten" -- from the weights of a network trained on large-scale image classification tasks, and we provide strong computable bounds on the amount of…

Machine Learning · Computer Science 2021-06-22 Aditya Golatkar , Alessandro Achille , Avinash Ravichandran , Marzia Polito , Stefano Soatto