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A sum-and-distance system is a collection of finite sets of integers such that the sums and differences formed by taking one element from each set generate a prescribed arithmetic progression. Such systems, with two component sets, arise…

Number Theory · Mathematics 2017-12-15 M. N. Huxley , M. C. Lettington , K. M. Schmidt

Conformal field theory (CFT) dispersion relations reconstruct correlators in terms of their double discontinuity. When applied to the crossing equation, such dispersive transforms lead to sum rules that suppress the double-twist sector of…

High Energy Physics - Theory · Physics 2022-03-23 Anh-Khoi Trinh

Gaussian filters have applications in a variety of areas in computer science, from computer vision to speech recognition. The collapsing sum is a matrix operator that was recently introduced to study Gaussian filters combinatorially. In…

Combinatorics · Mathematics 2021-12-30 Travis Dillon

We introduce a new paradigm for scaling simulations with projected entangled-pair states (PEPS) for critical strongly-correlated systems, allowing for reliable extrapolations of PEPS data with relatively small bond dimensions $D$. The key…

Quantum Physics · Physics 2022-11-23 Bram Vanhecke , Juraj Hasik , Frank Verstraete , Laurens Vanderstraeten

We develop the novel machinery of smooth approximations, and apply it to confirm the CSP dichotomy conjecture for first-order reducts of the random tournament, various homogeneous graphs including the random graph, and for expansions of the…

Logic in Computer Science · Computer Science 2021-06-08 Antoine Mottet , Michael Pinsker

We present a symmetric LDPC code with constant rate and constant distance (i.e. good LDPC code) that its constraint space is generated by the orbit of one constant weight constraint under a group action. Our construction provides the first…

Information Theory · Computer Science 2011-08-16 Tali Kaufman , Alexander Lubotzky

The computation of Lagrangian coherent structures (LCS) has established itself as a prominent means to reveal significant geometric structures in time-dependent vector fields. Their characterization, however, requires the selection of a…

Fluid Dynamics · Physics 2022-03-23 Zi'ang Ding , Xavier Tricoche

We give an algorithmic introduction to Lagrangian coherent structures (LCSs) using a newly developed computational engine, LCS Tool. LCSs are most repelling, attracting and shearing material lines that form the centerpieces of observed…

Chaotic Dynamics · Physics 2016-04-12 K. Onu , F. Huhn , G. Haller

The Collective Perception Service (CPS) enables the enhancement of environmental awareness of Intelligent Transport System Stations (ITS-S) through the exchange of tracking information between stations. As the market penetration of CPS is…

Networking and Internet Architecture · Computer Science 2023-03-20 Shule Li , Vincent Albert Wolff

We present the first decentralized algorithm for detecting predicates over continuous-time signals under partial synchrony. A distributed cyber-physical system (CPS) consists of a network of agents, each of which measures (or computes) a…

Logic in Computer Science · Computer Science 2023-08-08 Charles Koll , Anik Momtaz , Borzoo Bonakdarpour , Houssam Abbas

Streaming graphs are drawing increasing attention in both academic and industrial communities as many graphs in real applications evolve over time. Continuous subgraph matching (shorted as CSM) aims to report the incremental matches of a…

Data Structures and Algorithms · Computer Science 2023-04-26 Rongjian Yang , Zhijie Zhang , Weiguo Zheng , Jeffery Xu Yu

Accurately detecting rendezvous and proximity operations (RPO) is crucial for understanding how objects are behaving in the space domain. However, detecting closely-spaced objects (CSO) is challenging for ground-based optical space domain…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Kerianne Pruett , Nathan McNaughton , Michael Schneider

Compressed sensing (CS) is an important theory for sub-Nyquist sampling and recovery of compressible data. Recently, it has been extended by Pham and Venkatesh to cope with the case where corruption to the CS data is modeled as impulsive…

Information Theory · Computer Science 2012-12-03 Duc Son Pham , Svetha Venkatesh

A generalization of highly symmetric frames is presented by considering also projective stabilizers of frame vectors. This allows construction of highly symmetric line systems and study of highly symmetric frames in a more unified manner.…

Functional Analysis · Mathematics 2022-07-19 Mikhail Ganzhinov

We present an excited-state-specific coupled-cluster approach in which both the molecular orbitals and cluster amplitudes are optimized for an individual excited state. The theory is formulated via a pseudoprojection of the traditional…

Chemical Physics · Physics 2023-11-27 Harrison Tuckman , Eric Neuscamman

Segmentation of overlapping convex objects has various applications, for example, in nanoparticles and cell imaging. Often the segmentation method has to rely purely on edges between the background and foreground making the analyzed images…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Sahar Zafari , Mariia Murashkina , Tuomas Eerola , Jouni Sampo , Heikki Kälviäinen , Heikki Haario

Compressed Sensing (CS) is an emerging field that enables reconstruction of a sparse signal $x \in {\mathbb R} ^n$ that has only $k \ll n$ non-zero coefficients from a small number $m \ll n$ of linear projections. The projections are…

Information Theory · Computer Science 2011-03-29 Shriram Sarvotham , Richard G. Baraniuk

Convolutional neural networks(CNN) have been shown to perform better than the conventional stereo algorithms for stereo estimation. Numerous efforts focus on the pixel-wise matching cost computation, which is the important building block…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Haihua Lu , Hai Xu , Li Zhang , Yong Zhao

Recently, convolutional neural networks (CNNs) have achieved excellent performances in many computer vision tasks. Specifically, for hyperspectral images (HSIs) classification, CNNs often require very complex structure due to the high…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Haitao Zhang , Lingguo Meng , Xian Wei , Xiaoliang Tang , Xuan Tang , Xingping Wang , Bo Jin , Wei Yao

Recent development in compressed sensing (CS) has revealed that the use of a special design of measurement matrix, namely the spatially-coupled matrix, can achieve the information-theoretic limit of CS. In this paper, we consider the…

Information Theory · Computer Science 2014-02-14 Chao-Kai Wen , Kai-Kit Wong