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In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

Cryptography and Security · Computer Science 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

We present a sample- and time-efficient differentially private algorithm for ordinary least squares, with error that depends linearly on the dimension and is independent of the condition number of $X^\top X$, where $X$ is the design matrix.…

Machine Learning · Computer Science 2024-04-25 Gavin Brown , Jonathan Hayase , Samuel Hopkins , Weihao Kong , Xiyang Liu , Sewoong Oh , Juan C. Perdomo , Adam Smith

Solutions of partial differential equations (PDEs) on manifolds have provided important applications in different fields in science and engineering. Existing methods are majorly based on discretization of manifolds as implicit functions,…

Numerical Analysis · Mathematics 2017-08-03 Rongjie Lai , Jia Li

The growing complexity of Deep Neural Networks (DNNs) has led to the adoption of Split Inference (SI), a collaborative paradigm that partitions computation between edge devices and the cloud to reduce latency and protect user privacy.…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Yixiang Qiu , Yanhan Liu , Hongyao Yu , Hao Fang , Bin Chen , Shu-Tao Xia , Ke Xu

In this paper, we study the Empirical Risk Minimization (ERM) problem in the non-interactive Local Differential Privacy (LDP) model. Previous research on this problem \citep{smith2017interaction} indicates that the sample complexity, to…

Machine Learning · Computer Science 2020-11-12 Di Wang , Marco Gaboardi , Adam Smith , Jinhui Xu

This paper presents a novel framework to recover detailed human body shapes from a single image. It is a challenging task due to factors such as variations in human shapes, body poses, and viewpoints. Prior methods typically attempt to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Hao Zhu , Xinxin Zuo , Sen Wang , Xun Cao , Ruigang Yang

Linear sketches have been widely adopted to process fast data streams, and they can be used to accurately answer frequency estimation, approximate top K items, and summarize data distributions. When data are sensitive, it is desirable to…

Data Structures and Algorithms · Computer Science 2022-10-18 Fuheng Zhao , Dan Qiao , Rachel Redberg , Divyakant Agrawal , Amr El Abbadi , Yu-Xiang Wang

In this work, we investigate an inverse problem of recovering multiple orders in a time-fractional diffusion model from the data observed at one single point on the boundary. We prove the unique recovery of the orders together with their…

Numerical Analysis · Mathematics 2021-11-17 Bangti Jin , Yavar Kian

We propose and analyze algorithms to solve a range of learning tasks under user-level differential privacy constraints. Rather than guaranteeing only the privacy of individual samples, user-level DP protects a user's entire contribution ($m…

Machine Learning · Computer Science 2021-12-06 Daniel Levy , Ziteng Sun , Kareem Amin , Satyen Kale , Alex Kulesza , Mehryar Mohri , Ananda Theertha Suresh

We revisit the problem of empirical risk minimziation (ERM) with differential privacy. We show that noisy AdaGrad, given appropriate knowledge and conditions on the subspace from which gradients can be drawn, achieves a regret comparable to…

Machine Learning · Computer Science 2021-02-02 Peter Kairouz , Mónica Ribero , Keith Rush , Abhradeep Thakurta

Many problems in trustworthy ML can be formulated as minimization of the model error under constraints on the prediction rates of the model for suitably-chosen marginals, including most group fairness constraints (demographic parity,…

Machine Learning · Computer Science 2025-05-30 Mohammad Yaghini , Tudor Cebere , Michael Menart , Aurélien Bellet , Nicolas Papernot

This paper focuses on the problem of 3D human reconstruction from 2D evidence. Although this is an inherently ambiguous problem, the majority of recent works avoid the uncertainty modeling and typically regress a single estimate for a given…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Nikos Kolotouros , Georgios Pavlakos , Dinesh Jayaraman , Kostas Daniilidis

We present an approach for reconstructing vehicles from a single (RGB) image, in the context of autonomous driving. Though the problem appears to be ill-posed, we demonstrate that prior knowledge about how 3D shapes of vehicles project to…

Computer Vision and Pattern Recognition · Computer Science 2016-09-30 J. Krishna Murthy , G. V. Sai Krishna , Falak Chhaya , K. Madhava Krishna

Biometric recognition on partial captured targets is challenging, where only several partial observations of objects are available for matching. In this area, deep learning based methods are widely applied to match these partial captured…

Computer Vision and Pattern Recognition · Computer Science 2018-10-18 Lingxiao He , Zhenan Sun , Yuhao Zhu , Yunbo Wang

We present the first one-shot personalized sketch segmentation method. We aim to segment all sketches belonging to the same category provisioned with a single sketch with a given part annotation while (i) preserving the parts semantics…

Computer Vision and Pattern Recognition · Computer Science 2022-03-28 Anran Qi , Yulia Gryaditskaya , Tao Xiang , Yi-Zhe Song

Optimization problems with $L^1$-control cost functional subject to an elliptic partial differential equation (PDE) are considered. However, different from the finite dimensional $l^1$-regularization optimization, the resulting discretized…

Optimization and Control · Mathematics 2017-09-28 Xiaoliang Song , Bo Chen , Bo Yu

We reconstruct a closed denoised curve from an unstructured and highly noisy 2D point cloud. Our proposed method uses a two- pass approach: Previously recovered manifold connectivity is used for ordering noisy samples along this manifold…

Graphics · Computer Science 2018-08-24 Stefan Ohrhallinger , Michael Wimmer

Personalizing diffusion models to specific users or concepts remains challenging, particularly when only a few reference images are available. Existing methods such as DreamBooth and Textual Inversion often overfit to limited data, causing…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 JungWoo Chae , Jiyoon Kim , Sangheum Hwang

Reconstructing object geometry and material from multiple views typically requires optimization. Differentiable path tracing is an appealing framework as it can reproduce complex appearance effects. However, it is difficult to use due to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Purvi Goel , Loudon Cohen , James Guesman , Vikas Thamizharasan , James Tompkin , Daniel Ritchie

Reconstruction attacks against federated learning (FL) aim to reconstruct users' samples through users' uploaded gradients. Local differential privacy (LDP) is regarded as an effective defense against various attacks, including sample…

Cryptography and Security · Computer Science 2025-02-13 Zhichao You , Xuewen Dong , Shujun Li , Ximeng Liu , Siqi Ma , Yulong Shen
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