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We show for a broad class of counting problems, correlation decay (strong spatial mixing) implies FPTAS on planar graphs. The framework for the counting problems considered by us is the Holant problems with arbitrary constant-size domain…

Data Structures and Algorithms · Computer Science 2012-07-17 Yitong Yin , Chihao Zhang

Partitioned global address space (PGAS) is a parallel programming model for the development of applications on clusters. It provides a global address space partitioned among the cluster nodes, and is supported in programming languages like…

Logic in Computer Science · Computer Science 2013-07-26 Georgel Calin , Egor Derevenetc , Rupak Majumdar , Roland Meyer

Simultaneous mapping and localization (SLAM) in an real indoor environment is still a challenging task. Traditional SLAM approaches rely heavily on low-level geometric constraints like corners or lines, which may lead to tracking failure in…

Robotics · Computer Science 2019-10-01 Xueyang Kang , Shunying Yuan

A new class of space time codes with high performance is presented. The code design utilizes tailor-made permutation codes, which are known to have large minimal distances as spherical codes. A geometric connection between spherical and…

Information Theory · Computer Science 2007-07-13 Oliver Henkel

We consider transmission of two independent and separately encoded sources over a two-user binary-input Gaussian multiple-access channel. The channel gains are assumed to be unknown at the transmitter and the goal is to design an…

Information Theory · Computer Science 2011-10-04 Arvind Yedla , Phong S. Nguyen , Henry D. Pfister , Krishna R. Narayanan

The two-dimensional magnetic recording (TDMR) technology promises storage densities of $10$ terabits per square inch. However, when tracks are squeezed together, a bit stored in the two-dimensional (TD) grid suffers inter-symbol…

Information Theory · Computer Science 2021-02-03 Beyza Dabak , Ahmed Hareedy , Robert Calderbank

In this paper we develop a new machinery to study the capacity of artificial neural networks (ANNs) to approximate high-dimensional functions without suffering from the curse of dimensionality. Specifically, we introduce a concept which we…

Numerical Analysis · Mathematics 2025-01-29 Pierfrancesco Beneventano , Patrick Cheridito , Arnulf Jentzen , Philippe von Wurstemberger

In real-time systems, in addition to the functional correctness recurrent tasks must fulfill timing constraints to ensure the correct behavior of the system. Partitioned scheduling is widely used in real-time systems, i.e., the tasks are…

Data Structures and Algorithms · Computer Science 2018-09-13 Jian-Jia Chen , Nikhil Bansal , Samarjit Chakraborty , Georg von der Brüggen

Recent unsupervised person re-identification (re-ID) methods achieve high performance by leveraging fine-grained local context. These methods are referred to as part-based methods. However, most part-based methods obtain local contexts…

Computer Vision and Pattern Recognition · Computer Science 2024-03-04 Jiahao Hong , Jialong Zuo , Chuchu Han , Ruochen Zheng , Ming Tian , Changxin Gao , Nong Sang

Information coding by precise timing of spikes can be faster and more energy-efficient than traditional rate coding. However, spike-timing codes are often brittle, which has limited their use in theoretical neuroscience and computing…

Neural and Evolutionary Computing · Computer Science 2019-01-24 E. Paxon Frady , Friedrich T. Sommer

Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2]. This phenomenon is now termed threshold saturation via spatial coupling. The…

Information Theory · Computer Science 2013-12-30 Santhosh Kumar , Andrew J. Young , Nicolas Macris , Henry D. Pfister

There is growing interest in representing image data and feature descriptors using compact binary codes for fast near neighbor search. Although binary codes are motivated by their use as direct indices (addresses) into a hash table, codes…

Computer Vision and Pattern Recognition · Computer Science 2014-04-28 Mohammad Norouzi , Ali Punjani , David J. Fleet

We provide simple and fast polynomial time approximation schemes (PTASs) for several variants of the max-sum diversification problem which, in its most basic form, is as follows: Given n points p_1,...,p_n in R^d and an integer k, select k…

Data Structures and Algorithms · Computer Science 2016-07-18 Alfonso Cevallos , Friedrich Eisenbrand , Rico Zenklusen

Sparse superposition codes, also called sparse regression codes (SPARCs), are a class of codes for efficient communication over the AWGN channel at rates approaching the channel capacity. In a standard SPARC, codewords are sparse linear…

Information Theory · Computer Science 2021-06-25 Cynthia Rush , Kuan Hsieh , Ramji Venkataramanan

Consider the Maximum Weight Independent Set problem for rectangles: given a family of weighted axis-parallel rectangles in the plane, find a maximum-weight subset of non-overlapping rectangles. The problem is notoriously hard both in the…

Data Structures and Algorithms · Computer Science 2016-11-22 Michał Pilipczuk , Erik Jan van Leeuwen , Andreas Wiese

In indoor environments, multi-robot visual (RGB-D) mapping and exploration hold immense potential for application in domains such as domestic service and logistics, where deploying multiple robots in the same environment can significantly…

Robotics · Computer Science 2024-11-06 Sai Krishna Ghanta , Ramviyas Parasuraman

Dimensionality reduction techniques are widely used for visualizing high-dimensional data in two dimensions. Existing methods are typically designed to preserve either local (e.g., $t$-SNE, UMAP) or global (e.g., MDS, PCA) structure of the…

Machine Learning · Computer Science 2026-02-02 Noël Kury , Dmitry Kobak , Sebastian Damrich

A novel framework for performance analysis and code design is proposed to address the sneak path (SP) problem in resistive random-access memory (ReRAM) arrays. The main idea is to decompose the ReRAM channel, which is both non-ergodic and…

Information Theory · Computer Science 2024-12-10 Guanghui Song , Meiru Gao , Ying Li , Bin Dai , Kui Cai

Many emerging use cases of data mining and machine learning operate on large datasets with data from heterogeneous sources, specifically with both sparse and dense components. For example, dense deep neural network embedding vectors are…

Machine Learning · Computer Science 2019-03-22 Xiang Wu , Ruiqi Guo , David Simcha , Dave Dopson , Sanjiv Kumar

Neural architecture search (NAS) has attracted increasing attentions in both academia and industry. In the early age, researchers mostly applied individual search methods which sample and evaluate the candidate architectures separately and…

Computer Vision and Pattern Recognition · Computer Science 2020-08-06 Lingxi Xie , Xin Chen , Kaifeng Bi , Longhui Wei , Yuhui Xu , Zhengsu Chen , Lanfei Wang , An Xiao , Jianlong Chang , Xiaopeng Zhang , Qi Tian