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This paper develops a new framework for indirect statistical inference with guaranteed necessity and sufficiency, applicable to continuous random variables. We prove that when comparing exponentially transformed order statistics from an…

Statistics Theory · Mathematics 2025-09-25 Z Zhang , X Hu , C Lu , T Liu

Two widely used randomized algorithms are the sketch-and-solve method for least-squares regression and the randomized SVD for low-rank approximation. These algorithms apply a random embedding to compress a target matrix, and they perform…

Numerical Analysis · Mathematics 2026-05-20 Ethan N. Epperly , Robert J. Webber

Out-of-distribution (OOD) detection lies at the heart of robust artificial intelligence (AI), aiming to identify samples from novel distributions beyond the training set. Recent approaches have exploited feature representations as…

Machine Learning · Computer Science 2025-08-06 Tarhib Al Azad , Faizul Rakib Sayem , Shahana Ibrahim

Geographic experiments are a widely-used methodology for measuring incremental return on ad spend (iROAS) at scale, yet their design presents significant challenges. The unit count is small, heterogeneity is large, and the optimal Supergeo…

Applications · Statistics 2025-12-01 Charles Shaw

Classical least squares estimators are well-known to be robust with respect to moment assumptions concerning the error distribution in a wide variety of finite-dimensional statistical problems; generally only a second moment assumption is…

Statistics Theory · Mathematics 2018-05-08 Qiyang Han , Jon A. Wellner

To approximate sums of values in key-value data streams, sketches are widely used in databases and networking systems. They offer high-confidence approximations for any given key while ensuring low time and space overhead. While existing…

Data Structures and Algorithms · Computer Science 2024-06-04 Yuhan Wu , Hanbo Wu , Xilai Liu , Yikai Zhao , Tong Yang , Kaicheng Yang , Sha Wang , Lihua Miao , Gaogang Xie

We put forth Oblivious State Preparation (OSP) as a cryptographic primitive that unifies techniques developed in the context of a quantum server interacting with a classical client. OSP allows a classical polynomial-time sender to input a…

Quantum Physics · Physics 2024-11-08 James Bartusek , Dakshita Khurana

Recent advances show that semi-supervised implicit representation learning can be achieved through physical constraints like Eikonal equations. However, this scheme has not yet been successfully used for LiDAR point cloud data, due to its…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Pengfei Li , Yongliang Shi , Tianyu Liu , Hao Zhao , Guyue Zhou , Ya-Qin Zhang

One-shot signatures (OSS) were defined by Amos, Georgiou, Kiayias, and Zhandry (STOC'20). These allow for signing exactly one message, after which the signing key self-destructs, preventing a second message from ever being signed. While…

Cryptography and Security · Computer Science 2025-07-17 Omri Shmueli , Mark Zhandry

A major algorithmic challenge in designing applications intended for secure remote execution is ensuring that they are oblivious to their inputs, in the sense that their memory access patterns do not leak sensitive information to the…

Databases · Computer Science 2020-12-16 Simeon Krastnikov , Florian Kerschbaum , Douglas Stebila

Given an $n*n$ sparse symmetric matrix with $m$ nonzero entries, performing Gaussian elimination may turn some zeroes into nonzero values. To maintain the matrix sparse, we would like to minimize the number $k$ of these changes, hence…

Computational Complexity · Computer Science 2016-06-28 Yixin Cao , R. B. Sandeep

Deep metric learning aims to learn a deep embedding that can capture the semantic similarity of data points. Given the availability of massive training samples, deep metric learning is known to suffer from slow convergence due to a large…

Machine Learning · Computer Science 2019-12-05 Xinshao Wang , Yang Hua , Elyor Kodirov , Guosheng Hu , Neil M. Robertson

We study the problem of residual error estimation for matrix and vector norms using a linear sketch. Such estimates can be used, for example, to quickly assess how useful a more expensive low-rank approximation computation will be. The…

Data Structures and Algorithms · Computer Science 2024-08-19 Yi Li , Honghao Lin , David P. Woodruff

In this paper, the problem of one-bit compressed sensing (OBCS) is formulated as a problem in probably approximately correct (PAC) learning. It is shown that the Vapnik-Chervonenkis (VC-) dimension of the set of half-spaces in…

Machine Learning · Statistics 2017-10-24 Mehmet Eren Ahsen , Mathukumalli Vidyasagar

We propose novel randomized optimization methods for high-dimensional convex problems based on restrictions of variables to random subspaces. We consider oblivious and data-adaptive subspaces and study their approximation properties via…

Information Theory · Computer Science 2020-12-15 Jonathan Lacotte , Mert Pilanci

We develop a novel method for personalized off-policy learning in scenarios with unobserved confounding. Thereby, we address a key limitation of standard policy learning: standard policy learning assumes unconfoundedness, meaning that no…

Machine Learning · Computer Science 2026-02-18 Konstantin Hess , Dennis Frauen , Valentyn Melnychuk , Stefan Feuerriegel

We consider the following oblivious sketching problem: given $\epsilon \in (0,1/3)$ and $n \geq d/\epsilon^2$, design a distribution $\mathcal{D}$ over $\mathbb{R}^{k \times nd}$ and a function $f: \mathbb{R}^k \times \mathbb{R}^{nd}…

Data Structures and Algorithms · Computer Science 2022-02-22 Yi Li , David P. Woodruff

A critical vulnerability of supervised deep learning in high-dimensional tabular domains is "generalization collapse": models form precise decision boundaries around known training distributions but fail catastrophically when encountering…

Machine Learning · Computer Science 2026-03-10 Rajeeb Thapa Chhetri , Saurab Thapa , Avinash Kumar , Zhixiong Chen

Catering to the incentives of people with limited rationality is a challenging research direction that requires novel paradigms to design mechanisms and approximation algorithms. Obviously strategyproof (OSP) mechanisms have recently…

Computer Science and Game Theory · Computer Science 2018-10-10 Diodato Ferraioli , Adrian Meier , Paolo Penna , Carmine Ventre

Many previous Sum-of-Squares (SOS) lower bounds for CSPs had two deficiencies related to global constraints. First, they were not able to support a "cardinality constraint", as in, say, the Min-Bisection problem. Second, while the…

Data Structures and Algorithms · Computer Science 2018-09-06 Pravesh Kothari , Ryan O'Donnell , Tselil Schramm