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In the classic sequential testing problem, we are given a system with several components each of which fails with some independent probability. The goal is to identify whether or not some component has failed. When the test costs are…

Data Structures and Algorithms · Computer Science 2025-01-31 Blake Harris , Viswanath Nagarajan , Rayen Tan

We investigate determining the exact bounds of the frequencies of conjunctions based on frequent sets. Our scenario is an important special case of some general probabilistic logic problems that are known to be intractable. We show that…

Computational Complexity · Computer Science 2019-02-05 Nikolaj Tatti

In the trace reconstruction problem, one attempts to reconstruct a fixed but unknown string $x$ of length $n$ from a given number of traces $\tilde{x}$ drawn iid from the application of a noisy process (such as the deletion channel) to $x$.…

Data Structures and Algorithms · Computer Science 2024-10-17 Ittai Rubinstein

Hard-capacitated $k$-means (HCKM) is one of the fundamental problems remaining open in combinatorial optimization and data mining areas. In this problem, one is required to partition a given $n$-point set into $k$ disjoint clusters with…

Data Structures and Algorithms · Computer Science 2019-05-01 Yicheng Xu , Rolf H. Möhring , Dachuan Xu , Yong Zhang , Yifei Zou

This paper considers a natural fault-tolerant shortest paths problem: for some constant integer $f$, given a directed weighted graph with no negative cycles and two fixed vertices $s$ and $t$, compute (either explicitly or implicitly) for…

Data Structures and Algorithms · Computer Science 2022-09-16 Virginia Vassilevska Williams , Eyob Woldeghebriel , Yinzhan Xu

Internet supercomputing is an approach to solving partitionable, computation-intensive problems by harnessing the power of a vast number of interconnected computers. For the problem of using network supercomputing to perform a large…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-04 Seda Davtyan , Kishori M. Konwar , Alexander A. Shvartsman

Partitioning and deploying Deep Neural Networks (DNNs) across edge nodes may be used to meet performance objectives of applications. However, the failure of a single node may result in cascading failures that will adversely impact the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Ayesha Abdul Majeed , Peter Kilpatrick , Ivor Spence , Blesson Varghese

With the increasing deployment of deep neural networks (DNNs) in terrestrial and aerospace safety-critical applications, system reliability has emerged as a co-equal design metric alongside computational efficiency. Algorithm-based fault…

Cryptography and Security · Computer Science 2025-04-22 Xinghua Xue , Cheng Liu , Feng Min , Tao Luo , Yinhe Han

Sub/Near-threshold static random-access memory (SRAM) design is crucial for addressing the memory bottleneck in energy-constrained applications. However, the high integration density and reliability under process variations demand an…

Hardware Architecture · Computer Science 2022-02-25 Shan Shen , Peng Cao , Ming Ling , Longxing Shi

We (nearly) settle the time complexity for computing vertex fault-tolerant (VFT) spanners with optimal sparsity (up to polylogarithmic factors). VFT spanners are sparse subgraphs that preserve distance information, up to a small…

Data Structures and Algorithms · Computer Science 2022-09-08 Merav Parter

The experimental design problem concerns the selection of k points from a potentially large design pool of p-dimensional vectors, so as to maximize the statistical efficiency regressed on the selected k design points. Statistical efficiency…

Machine Learning · Statistics 2017-11-15 Zeyuan Allen-Zhu , Yuanzhi Li , Aarti Singh , Yining Wang

The Survivable Network Design problem (SNDP) is a well-studied problem, motivated by the design of networks that are robust to faults under the assumption that any subset of edges up to a specific number can fail. We consider non-uniform…

Data Structures and Algorithms · Computer Science 2024-03-26 Chandra Chekuri , Rhea Jain

A natural requirement of many distributed structures is fault-tolerance: after some failures, whatever remains from the structure should still be effective for whatever remains from the network. In this paper we examine spanners of general…

Data Structures and Algorithms · Computer Science 2011-02-01 Michael Dinitz , Robert Krauthgamer

The $k$-Facility Location problem is a generalization of the classical problems $k$-Median and Facility Location. The goal is to select a subset of at most $k$ facilities that minimizes the total cost of opened facilities and established…

Data Structures and Algorithms · Computer Science 2017-04-25 Jarosław Byrka , Krzysztof Fleszar , Bartosz Rybicki , Joachim Spoerhase

We investigate the problem of constructing fault-tolerant bases in matroids. Given a matroid M and a redundancy parameter k, a k-fault-tolerant basis is a minimum-size set of elements such that, even after the removal of any k elements, the…

Data Structures and Algorithms · Computer Science 2025-06-30 Matthias Bentert , Fedor V. Fomin , Petr A. Golovach , Laure Morelle

In classical network reliability analysis, the system under study is a network with perfect nodes but imperfect link, that fail stochastically and independently. There, the goal is to find the probability that the resulting random graph is…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-06 Eduardo Canale , Pablo Romero , Gerardo Rubino

This paper looks at two problems, minimum constrained input selection and minimum cost constrained input selection for state space structured systems. The input matrix is constrained in the sense that the set of states that each input can…

Optimization and Control · Mathematics 2017-05-04 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

We present a polynomial time algorithm for online maximization of $k$-submodular maximization. For online (nonmonotone) $k$-submodular maximization, our algorithm achieves a tight approximate factor in an approximate regret. For online…

Data Structures and Algorithms · Computer Science 2018-07-16 Tasuku Soma

Power systems, including synchronous generator systems, are typical systems that strive for stable operation. In this article, we numerically study the fault transient process of a synchronous generator system based on the first benchmark…

Numerical Analysis · Mathematics 2025-02-25 Sixu Wu , Feng Ji , Lu Gao , Ruili Zhang , Cunwei Tang , Yifa Tang

When a system's constraints change abruptly, the system's reachability safety does no longer sustain. Thus, the system can reach a forbidden/dangerous value. Conventional remedy practically involves online controller redesign (OCR) to…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Henghua Shen , Qixin Wang
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