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We introduce and study level-planar straight-line drawings with a fixed number $\lambda$ of slopes. For proper level graphs, we give an $O(n \log^2 n / \log \log n)$-time algorithm that either finds such a drawing or determines that no such…

Data Structures and Algorithms · Computer Science 2019-08-02 Guido Brückner , Nadine Davina Krisam , Tamara Mchedlidze

To address the limitations of existing magnitude-based pruning algorithms in cases where model weights or activations are of large and similar magnitude, we propose a novel perspective to discover parameter redundancy among channels and…

Machine Learning · Computer Science 2019-08-08 Yunxiang Zhang , Chenglong Zhao , Bingbing Ni , Jian Zhang , Haoran Deng

A parallel cut-cell algorithm is described to solve the free-boundary problem of the Grad-Shafranov equation. The algorithm reformulates the free-boundary problem in an irregular bounded domain and its important aspects include a searching…

Numerical Analysis · Mathematics 2021-08-31 Shuang Liu , Qi Tang , Xian-Zhu Tang

The resource requirements of deep neural networks (DNNs) pose significant challenges to their deployment on edge devices. Common approaches to address this issue are pruning and mixed-precision quantization, which lead to latency and memory…

We present a randomized parallel algorithm in the {\sf PRAM} model for $k$-vertex connectivity. Given an undirected simple graph, our algorithm either finds a set of fewer than $k$ vertices whose removal disconnects the graph or reports…

Data Structures and Algorithms · Computer Science 2025-04-09 Yonggang Jiang , Changki Yun

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser

We apply a branch-and-bound (B\&B) algorithm to the D-optimality problem based on a convex mixed-integer nonlinear formulation. We discuss possible methodologies to accelerate the convergence of the B\&B algorithm, by combining the use of…

Optimization and Control · Mathematics 2023-02-16 Gabriel Ponte , Marcia Fampa , Jon Lee

Pose graph optimization (PGO) is fundamental to robot perception and navigation systems, serving as the mathematical backbone for solving simultaneous localization and mapping (SLAM). Existing solvers suffer from polynomial growth in…

Optimization and Control · Mathematics 2026-01-23 Xin Chen , Chunfeng Cui , Deren Han , Liqun Qi

In this paper, we propose a convergent parallel best-response algorithm with the exact line search for the nondifferentiable nonconvex sparsity-regularized rank minimization problem. On the one hand, it exhibits a faster convergence than…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-15 Yang Yang , Marius Pesavento

We present an in-place algorithm for the partition problem that has linear work and polylogarithmic span. The algorithm uses only exclusive read/write shared variables, and can be implemented using parallel-for-loops without any additional…

Data Structures and Algorithms · Computer Science 2020-07-10 William Kuszmaul , Alek Westover

Detecting parallelizable code regions is a challenging task, even for experienced developers. Numerous recent studies have explored the use of machine learning for code analysis and program synthesis, including parallelization, in light of…

Machine Learning · Computer Science 2024-11-25 Le Chen , Quazi Ishtiaque Mahmud , Hung Phan , Nesreen K. Ahmed , Ali Jannesari

We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph into pieces of small tree-width, and applying dynamic…

Data Structures and Algorithms · Computer Science 2007-05-23 David Eppstein

We focus on low-dimensional non-metric search, where tree-based approaches permit efficient and accurate retrieval while having short indexing time. These methods rely on space partitioning and require a pruning rule to avoid visiting…

Information Retrieval · Computer Science 2019-10-09 Leonid Boytsov , Eric Nyberg

In the family of clustering problems, we are given a set of objects (vertices of the graph), together with some observed pairwise similarities (edges). The goal is to identify clusters of similar objects by slightly modifying the graph to…

Data Structures and Algorithms · Computer Science 2013-06-18 Anudhyan Boral , Marek Cygan , Tomasz Kociumaka , Marcin Pilipczuk

This paper extends the earlier work on an oscillating error correction technique. Specifically, it extends the design to include further corrections, by adding new layers to the classifier through a branching method. This technique is still…

Machine Learning · Computer Science 2020-05-20 Kieran Greer

We study the question of whether parallelization in the exploration of the feasible set can be used to speed up convex optimization, in the local oracle model of computation. We show that the answer is negative for both deterministic and…

Optimization and Control · Mathematics 2019-06-21 Jelena Diakonikolas , Cristóbal Guzmán

Subgraph similarity search, one of the core problems in graph search, concerns whether a target graph approximately contains a query graph. The problem is recently touched by neural methods. However, current neural methods do not consider…

Machine Learning · Computer Science 2022-10-20 Linfeng Liu , Xu Han , Dawei Zhou , Li-Ping Liu

We study the allocation problem in the Massively Parallel Computation (MPC) model. This problem is a special case of $b$-matching, in which the input is a bipartite graph with capacities greater than $1$ in only one part of the bipartition.…

Data Structures and Algorithms · Computer Science 2025-06-06 Jakub Łącki , Slobodan Mitrović , Srikkanth Ramachandran , Wen-Horng Sheu

We propose a novel algorithm for combined unit and layer pruning of deep neural networks that functions during training and without requiring a pre-trained network to apply. Our algorithm optimally trades-off learning accuracy and pruning…

Machine Learning · Computer Science 2025-07-17 Valentin Frank Ingmar Guenter , Athanasios Sideris

Many graph problems can be solved using ordered parallel graph algorithms that achieve significant speedup over their unordered counterparts by reducing redundant work. This paper introduces a new priority-based extension to GraphIt, a…

Programming Languages · Computer Science 2020-01-28 Yunming Zhang , Ajay Brahmakshatriya , Xinyi Chen , Laxman Dhulipala , Shoaib Kamil , Saman Amarasinghe , Julian Shun
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