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Urban rail transit is a fundamental component of public transportation, however, commonly station-based path search algorithms often overlook the impact of transfer times on search results, leading to decreased accuracy. To solve this…

Computational Engineering, Finance, and Science · Computer Science 2024-03-05 Xiao Fang , Xuyang Song , Jiyuan Ma , Guanhua Liu , Shurong Pang , Wenbo Zhao , Cong Cao , Ling Fan

We are interested in the problem of finding $k$ nearest neighbours in the plane and in the presence of polygonal obstacles ($\textit{OkNN}$). Widely used algorithms for OkNN are based on incremental visibility graphs, which means they…

Artificial Intelligence · Computer Science 2018-08-14 Shizhe Zhao , Daniel D. Harabor , David Taniar

We study tensor networks as a model of arithmetic computation for evaluating multilinear maps. These capture any algorithm based on low border rank tensor decompositions, such as $O(n^{\omega+\epsilon})$ time matrix multiplication, and in…

Computational Complexity · Computer Science 2018-11-16 Per Austrin , Petteri Kaski , Kaie Kubjas

Heterogeneous reconfigurable platforms with tensor cores, such as AMD ACAP, are increasingly adopted for deep neural network (DNN) inference due to their high throughput and flexibility. However, their suitability for microsecond-scale…

Hardware Architecture · Computer Science 2026-05-27 Shixin Ji , Jinming Zhuang , Zhuoping Yang , Xingzhen Chen , Wei Zhang , Peipei Zhou

This paper proposes a new variant of Frank-Wolfe (FW), called $k$FW. Standard FW suffers from slow convergence: iterates often zig-zag as update directions oscillate around extreme points of the constraint set. The new variant, $k$FW,…

Optimization and Control · Mathematics 2021-11-17 Lijun Ding , Jicong Fan , Madeleine Udell

When studying interacting systems, computing their statistical properties is a fundamental problem in various fields such as physics, applied mathematics, and machine learning. However, this task can be quite challenging due to the…

Statistical Mechanics · Physics 2023-05-04 Yijia Wang , Yuwen Ebony Zhang , Feng Pan , Pan Zhang

Deep neural network models, though very powerful and highly successful, are computationally expensive in terms of space and time. Recently, there have been a number of attempts on binarizing the network weights and activations. This greatly…

Neural and Evolutionary Computing · Computer Science 2018-05-11 Lu Hou , Quanming Yao , James T. Kwok

In fault-tolerant distance labeling we wish to assign short labels to the vertices of a graph $G$ such that from the labels of any three vertices $u,v,f$ we can infer the $u$-to-$v$ distance in the graph $G\setminus \{f\}$. We show that any…

Data Structures and Algorithms · Computer Science 2021-02-16 Aviv Bar-Natan , Panagiotis Charalampopoulos , Paweł Gawrychowski , Shay Mozes , Oren Weimann

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

Social and Information Networks · Computer Science 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang

A new O(N) algorithm based on a recursion method, in which the computational effort is proportional to the number of atoms N, is presented for calculating the inverse of an overlap matrix which is needed in electronic structure calculations…

Condensed Matter · Physics 2016-08-31 T. Ozaki

A recent line of work has shown a surprising connection between multicalibration, a multi-group fairness notion, and omniprediction, a learning paradigm that provides simultaneous loss minimization guarantees for a large family of loss…

Machine Learning · Computer Science 2023-07-19 Sumegha Garg , Christopher Jung , Omer Reingold , Aaron Roth

We present a novel algorithm for dynamic routing with dedicated path protection which, as the presented simulation results suggest, can be efficient and exact. We present the algorithm in the setting of optical networks, but it should be…

Networking and Internet Architecture · Computer Science 2021-09-22 Ireneusz Szcześniak , Ireneusz Olszewski , Bożena Woźna-Szcześniak

Failures in optical network backbone can lead to major disruption of internet data traffic. Hence, minimizing such failures is of paramount importance for the network operators. Even better, if the network failures can be predicted and…

Networking and Internet Architecture · Computer Science 2021-01-19 Dibakar Das , Mohammad Fahad Imteyaz , Jyotsna Bapat , Debabrata Das

We study metric data structures for curves in doubling spaces, such as trajectories of moving objects in Euclidean $\mathbb{R}^d$, where the distance between two curves is measured using the discrete Fr\'echet distance. We design data…

Computational Geometry · Computer Science 2019-07-15 Anne Driemel , Ioannis Psarros , Melanie Schmidt

Submodular function minimization (SFM) and matroid intersection are fundamental discrete optimization problems with applications in many fields. It is well known that both of these can be solved making $\mathrm{poly}(N)$ queries to a…

Data Structures and Algorithms · Computer Science 2021-11-16 Deeparnab Chakrabarty , Yu Chen , Sanjeev Khanna

UNet [27] is widely used in semantic segmentation due to its simplicity and effectiveness. However, its manually-designed architecture is applied to a large number of problem settings, either with no architecture optimizations, or with…

Machine Learning · Computer Science 2022-07-14 Zifu Wang , Matthew B. Blaschko

Designing approximate all-pairs distance oracles in the fully dynamic setting is one of the central problems in dynamic graph algorithms. Despite extensive research on this topic, the first result breaking the $O(\sqrt{n})$ barrier on the…

Data Structures and Algorithms · Computer Science 2023-03-13 Sebastian Forster , Gramoz Goranci , Yasamin Nazari , Antonis Skarlatos

In this paper we present an efficient reachability oracle under single-edge or single-vertex failures for planar directed graphs. Specifically, we show that a planar digraph $G$ can be preprocessed in $O(n\log^2{n}/\log\log{n})$ time,…

Data Structures and Algorithms · Computer Science 2021-01-08 Giuseppe F. Italiano , Adam Karczmarz , Nikos Parotsidis

In this paper, we address the problem of direction of arrival (DOA) estimation for multiple targets in the presence of sensor failures in a sparse array. Generally, sparse arrays are known with very high-resolution capabilities, where N…

Machine Learning · Computer Science 2023-06-22 Aya Mostafa Ahmed , Udaya S. K. P. Miriya Thanthrige , Aydin Sezgin , Fulvio Gini

In this paper we present an $\tilde{O}(m\sqrt{n}\log^{O(1)}U)$ time algorithm for solving the maximum flow problem on directed graphs with $m$ edges, $n$ vertices, and capacity ratio $U$. This improves upon the previous fastest running time…

Data Structures and Algorithms · Computer Science 2015-03-06 Yin Tat Lee , Aaron Sidford
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