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Metric Multidimensional scaling (MDS) is a classical method for generating meaningful (non-linear) low-dimensional embeddings of high-dimensional data. MDS has a long history in the statistics, machine learning, and graph drawing…

Machine Learning · Computer Science 2021-09-24 Erik Demaine , Adam Hesterberg , Frederic Koehler , Jayson Lynch , John Urschel

One of the most well-known and simplest models for diversity maximization is the Max-Min Diversification (MMD) model, which has been extensively studied in the data mining and database literature. In this paper, we initiate the study of the…

Data Structures and Algorithms · Computer Science 2025-02-05 Iiro Kumpulainen , Florian Adriaens , Nikolaj Tatti

Multidimensional scaling (MDS) is the act of embedding proximity information about a set of $n$ objects in $d$-dimensional Euclidean space. As originally conceived by the psychometric community, MDS was concerned with embedding a fixed set…

Machine Learning · Statistics 2024-12-12 Michael W. Trosset , Carey E. Priebe

Abundant high-rate (n, k) minimum storage regenerating (MSR) codes have been reported in the literature. However, most of them require contacting all the surviving nodes during a node repair process, resulting in a repair degree of d=n-1.…

Information Theory · Computer Science 2023-05-30 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

The presence of outliers can potentially significantly skew the parameters of machine learning models trained via stochastic gradient descent (SGD). In this paper we propose a simple variant of the simple SGD method: in each step, first…

Machine Learning · Statistics 2020-01-13 Vatsal Shah , Xiaoxia Wu , Sujay Sanghavi

Security is an increasingly fundamental requirement in Software-Defined Networking (SDN). However, the pace of adoption of secure mechanisms has been slow, which we estimate to be a consequence of the performance overhead of traditional…

Networking and Internet Architecture · Computer Science 2017-11-03 Diego Kreutz , Jiangshan Yu , Paulo Esteves-Verissimo , Catia Magalhaes , Fernando M. V. Ramos

This paper investigates the problem of Secure Multi-party Batch Matrix Multiplication (SMBMM), where a user aims to compute the pairwise products…

Information Theory · Computer Science 2021-07-21 Jinbao Zhu , Qifa Yan , Xiaohu Tang

A set $A$ is MSTD (more-sum-than-difference) if $|A+A|>|A-A|$. Though MSTD sets are rare, Martin and O'Bryant proved that there exists a positive constant lower bound for the proportion of MSTD subsets of $\{1,2,\ldots ,r\}$ as…

Number Theory · Mathematics 2019-10-23 Hung Viet Chu , Noah Luntzlara , Steven J. Miller , Lily Shao

In the classical combinatorial (adaptive) group testing problem, one is given two integers \(d\) and \(n\), where \(0\le d\le n\), and a population of \(n\) items, exactly \(d\) of which are known to be defective. The question is to devise…

Combinatorics · Mathematics 2014-07-24 David Cariolaro , Zhaiming Shen , Yi Zhang

Efficiently sampling a quantum state that is hard to distinguish from a truly random quantum state is an elementary task in quantum information theory that has both computational and physical uses. This is often referred to as pseudorandom…

Quantum Physics · Physics 2020-04-07 Zvika Brakerski , Omri Shmueli

In the average-case $k$-SUM problem, given $r$ integers chosen uniformly at random from $\{0,\dots,M-1\}$, the objective is to find a ``solution'' set of $k$ numbers that sum to $0$ modulo $M$. In the dense regime of $M \leq r^k$, where…

Computational Complexity · Computer Science 2023-11-22 Shweta Agrawal , Sagnik Saha , Nikolaj I. Schwartzbach , and Akhil Vanukuri , Prashant Nalini Vasudevan

Given a point query Q in multi-dimensional space, K-Nearest Neighbor (KNN) queries return the K closest answers according to given distance metric in the database with respect to Q. In this scenario, it is possible that a majority of the…

Databases · Computer Science 2007-05-23 Anoop Jain , Parag Sarda , Jayant R. Haritsa

This paper introduces a new approach to generating strongly constrained texts. We consider standardized sentence generation for the typical application of vision screening. To solve this problem, we formalize it as a discrete combinatorial…

Artificial Intelligence · Computer Science 2023-09-25 Alexandre Bonlarron , Aurélie Calabrèse , Pierre Kornprobst , Jean-Charles Régin

For a given testing problem, let $U_1,...,U_n$ be individually valid and conditionally on the data i.i.d.\ P-variables (often called P-values). For example, the data could come in groups, and each $U_i$ could be based on subsampling just…

Methodology · Statistics 2011-08-22 Lutz Mattner

This paper investigates the information-theoretic decentralized secure aggregation (DSA) problem under practical groupwise secret keys and collusion resilience. In DSA, $K$ users are interconnected through error-free broadcast channels.…

Information Theory · Computer Science 2025-11-19 Zhou Li , Xiang Zhang , Yizhou Zhao , Haiqiang Chen , Jihao Fan , Giuseppe Caire

We study explicit constructions of min-wise hash families and their extension to $k$-min-wise hash families. Informally, a min-wise hash family guarantees that for any fixed subset $X\subseteq[N]$, every element in $X$ has an equal chance…

Data Structures and Algorithms · Computer Science 2025-11-11 Xue Chen , Shengtang Huang , Xin Li

We study core-set construction algorithms for the task of Diversity Maximization under fairness/partition constraint. Given a set of points $P$ in a metric space partitioned into $m$ groups, and given $k_1,\ldots,k_m$, the goal of this…

Data Structures and Algorithms · Computer Science 2023-10-13 Sepideh Mahabadi , Stojan Trajanovski

A random $n$-permutation may be generated by sequentially removing random cards $C_1,...,C_n$ from an $n$-card deck $D = \{1,...,n\}$. The permutation $\sigma$ is simply the sequence of cards in the order they are removed. This permutation…

Probability · Mathematics 2014-06-17 Nicholas F. Travers

We consider large-scale Markov decision processes (MDPs) with a risk measure of variability in cost, under the risk-aware MDPs paradigm. Previous studies showed that risk-aware MDPs, based on a minimax approach to handling risk, can be…

Systems and Control · Computer Science 2017-05-17 Pengqian Yu , William B. Haskell , Huan Xu

Most sequence sketching methods work by selecting specific $k$-mers from sequences so that the similarity between two sequences can be estimated using only the sketches. Estimating sequence similarity is much faster using sketches than…

Data Structures and Algorithms · Computer Science 2023-11-08 Guillaume Marçais , Dan DeBlasio , Carl Kingsford
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