Search Results for author: Thomas Strohmer

Found 12 papers, 3 papers with code

An Algorithm for Streaming Differentially Private Data

no code implementations26 Jan 2024 Girish Kumar, Thomas Strohmer, Roman Vershynin

Much of the research in differential privacy has focused on offline applications with the assumption that all data is available at once.

Synthetic Data Generation

On the (In)Compatibility between Group Fairness and Individual Fairness

1 code implementation13 Jan 2024 Shizhou Xu, Thomas Strohmer

Furthermore, when there exists a conflict between the two, we first relax the former to the Pareto frontier (or equivalently the optimal trade-off) between $L^2$ error and statistical disparity, and then analyze the compatibility between the frontier and the individual fairness requirements.

Fairness

Differentially Private Low-dimensional Synthetic Data from High-dimensional Datasets

no code implementations26 May 2023 Yiyun He, Thomas Strohmer, Roman Vershynin, Yizhe Zhu

Differentially private synthetic data provide a powerful mechanism to enable data analysis while protecting sensitive information about individuals.

Semi-Supervised Clustering of Sparse Graphs: Crossing the Information-Theoretic Threshold

no code implementations24 May 2022 JunDa Sheng, Thomas Strohmer

The stochastic block model is a canonical random graph model for clustering and community detection on network-structured data.

Clustering Community Detection +1

Fair Data Representation for Machine Learning at the Pareto Frontier

1 code implementation2 Jan 2022 Shizhou Xu, Thomas Strohmer

Numerical simulations underscore the advantages: (1) the pre-processing step is compositive with arbitrary conditional expectation estimation supervised learning methods and unseen data; (2) the fair representation protects the sensitive information by limiting the inference capability of the remaining data with respect to the sensitive data; (3) the optimal affine maps are computationally efficient even for high-dimensional data.

BIG-bench Machine Learning Decision Making +1

GRAND++: Graph Neural Diffusion with A Source Term

no code implementations ICLR 2022 Matthew Thorpe, Tan Minh Nguyen, Hedi Xia, Thomas Strohmer, Andrea Bertozzi, Stanley Osher, Bao Wang

We propose GRAph Neural Diffusion with a source term (GRAND++) for graph deep learning with a limited number of labeled nodes, i. e., low-labeling rate.

Graph Learning

A Performance Guarantee for Spectral Clustering

no code implementations10 Jul 2020 March Boedihardjo, Shaofeng Deng, Thomas Strohmer

The two-step spectral clustering method, which consists of the Laplacian eigenmap and a rounding step, is a widely used method for graph partitioning.

Clustering graph partitioning

Strong Consistency, Graph Laplacians, and the Stochastic Block Model

no code implementations21 Apr 2020 Shaofeng Deng, Shuyang Ling, Thomas Strohmer

We study the performance of classical two-step spectral clustering via the graph Laplacian to learn the stochastic block model.

Clustering Community Detection +1

What Happens on the Edge, Stays on the Edge: Toward Compressive Deep Learning

no code implementations4 Sep 2019 Yang Li, Thomas Strohmer

We propose a hybrid hardware-software framework that has the potential to significantly reduce the computational complexity and memory requirements of on-device machine learning.

BIG-bench Machine Learning Compressive Sensing +1

Rapid, Robust, and Reliable Blind Deconvolution via Nonconvex Optimization

1 code implementation15 Jun 2016 XiaoDong Li, Shuyang Ling, Thomas Strohmer, Ke Wei

To the best of our knowledge, our algorithm is the first blind deconvolution algorithm that is numerically efficient, robust against noise, and comes with rigorous recovery guarantees under certain subspace conditions.

Information Theory Information Theory

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