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In this work, following the Discrete de Rham (DDR) paradigm, we develop an arbitrary-order discrete divdiv complex on general polyhedral meshes. The construction rests 1) on discrete spaces that are spanned by vectors of polynomials whose…

Numerical Analysis · Mathematics 2024-09-13 Daniele A. Di Pietro , Marien-Lorenzo Hanot

The polynomial method from circuit complexity has been applied to several fundamental problems and obtains the state-of-the-art running times. As observed in [Alman and Williams, STOC 2017], almost all applications of the polynomial method…

Computational Complexity · Computer Science 2018-11-20 Lijie Chen , Ruosong Wang

Differential privacy has recently emerged as the de facto standard for private data release. This makes it possible to provide strong theoretical guarantees on the privacy and utility of released data. While it is well-known how to release…

Databases · Computer Science 2012-03-14 Graham Cormode , Magda Procopiuc , Entong Shen , Divesh Srivastava , Ting Yu

Sparse variable selection improves interpretability and generalization in high-dimensional learning by selecting a small subset of informative features. Recent advances in Mixed Integer Programming (MIP) have enabled solving large-scale…

Machine Learning · Statistics 2025-10-28 Petros Prastakos , Kayhan Behdin , Rahul Mazumder

We consider the problem of Private Information Retrieval with Private Side Information (PIR-PSI), wherein a user wants to retrieve a file from replication based non-colluding databases by using the prior knowledge of a subset of the files…

Information Theory · Computer Science 2021-05-18 Murali Krishnan K. H. , J. Harshan

The paper introduces the simultaneous partial-inverse problem (SPI) for polynomials and develops its application to decoding interleaved Reed--Solomon codes beyond half the minimum distance. While closely related both to standard key…

Information Theory · Computer Science 2018-09-11 Jiun-Hung Yu , Hans-Andrea Loeliger

We introduce the problem of deceptive information retrieval (DIR), in which a user wishes to download a required file out of multiple independent files stored in a system of databases while \emph{deceiving} the databases by making the…

Information Theory · Computer Science 2023-07-11 Sajani Vithana , Sennur Ulukus

Oblivious RAM (ORAM) and private information retrieval (PIR) are classic cryptographic primitives used to hide the access pattern to data whose storage has been outsourced to an untrusted server. Unfortunately, both primitives require…

Cryptography and Security · Computer Science 2019-04-12 Sarvar Patel , Giuseppe Persiano , Kevin Yeo

We revisit the problem of secure aggregation of high-dimensional vectors in a two-server system such as Prio. These systems are typically used to aggregate vectors such as gradients in private federated learning, where the aggregate itself…

Cryptography and Security · Computer Science 2025-07-15 Hilal Asi , Vitaly Feldman , Hannah Keller , Guy N. Rothblum , Kunal Talwar

In this brief, we discuss the implementation of a third order semi-implicit differentiator as a complement of the recent work by the author that proposes an interconnected semi-implicit Euler double differentiators algorithm through Taylor…

Numerical Analysis · Mathematics 2024-08-02 Loïc Michel , Jean-Pierre Barbot

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

In this paper, we observe two levels of redundancies when applying vision transformers (ViT) for image recognition. First, fixing the number of tokens through the whole network produces redundant features at the spatial level. Second, the…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Boyu Chen , Peixia Li , Baopu Li , Chuming Li , Lei Bai , Chen Lin , Ming Sun , Junjie Yan , Wanli Ouyang

The rapid expansion of digital information and knowledge across structured and unstructured sources has heightened the importance of Information Retrieval (IR). While dense retrieval methods have substantially improved semantic matching for…

Information Retrieval · Computer Science 2025-07-10 SeungYoon Han , Taeho Hwang , Sukmin Cho , Soyeong Jeong , Hoyun Song , Huije Lee , Jong C. Park

In Private Information Retrieval (PIR), a client queries an n-bit database in order to retrieve an entry of her choice, while maintaining privacy of her query value. Chor, Goldreich, Kushilevitz, and Sudan showed that, in the…

Quantum Physics · Physics 2015-06-29 Ämin Baumeler , Anne Broadbent

This paper presents a novel method for polynomial approximation (Hermite approximation) using the fusion of value and derivative information. Therefore, the least-squares error in both domains is simultaneously minimized. A covariance…

Numerical Analysis · Mathematics 2019-03-27 Roland Ritt , Matthew Harker , Paul O'Leary

In this paper, we address the line spectral estimation problem with multiple measurement corrupted vectors. Such scenarios appear in many practical applications such as radar, optics, and seismic imaging in which the signal of interest can…

Signal Processing · Electrical Eng. & Systems 2022-09-26 Hoomaan Maskan , Sajad Daei , Mohammad Hossein Kahaei

We study the structure of solutions to linear programming formulations for the traveling salesperson problem (TSP). We perform a detailed analysis of the support of the subtour elimination linear programming relaxation, which leads to…

Data Structures and Algorithms · Computer Science 2015-03-27 Matthias Mnich , Tobias Mömke

Fomin and Villanger (STACS 2010) proved that Maximum Independent Set, Feedback Vertex Set, and more generally the problem of finding a maximum induced subgraph of treewith at most a constant $t$, can be solved in polynomial time on graph…

Data Structures and Algorithms · Computer Science 2016-07-18 Pedro Montealegre , Ioan Todinca

This paper introduces Sparsified Late Interaction for Multi-vector (SLIM) retrieval with inverted indexes. Multi-vector retrieval methods have demonstrated their effectiveness on various retrieval datasets, and among them, ColBERT is the…

Information Retrieval · Computer Science 2023-05-10 Minghan Li , Sheng-Chieh Lin , Xueguang Ma , Jimmy Lin

In this work, a simple and efficient dual iterative refinement (DIR) method is proposed for dense correspondence between two nearly isometric shapes. The key idea is to use dual information, such as spatial and spectral, or local and global…

Computer Vision and Pattern Recognition · Computer Science 2020-11-20 Rui Xiang , Rongjie Lai , Hongkai Zhao
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