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Evolving trees arise in many real-life scenarios from computer file systems and dynamic call graphs, to fake news propagation and disease spread. Most layout algorithms for static trees do not work well in an evolving setting (e.g., they…

计算几何 · 计算机科学 2022-08-29 Kathryn Gray , Mingwei Li , Reyan Ahmed , Stephen Kobourov

Compound graphs are networks in which vertices can be grouped into larger subsets, with these subsets capable of further grouping, resulting in a nesting that can be many levels deep. In several applications, including biological workflows,…

人机交互 · 计算机科学 2024-08-09 Chang Han , Justin Lieffers , Clayton Morrison , Katherine E. Isaacs

The rapid growth of large language models (LLMs) has outpaced the memory constraints of edge devices, necessitating extreme weight compression beyond the 1-bit limit. While quantization reduces model size, it is fundamentally limited to 1…

机器学习 · 计算机科学 2025-06-24 Sunan Zou , Ziyun Zhang , Xueting Sun , Guojie Luo

Speculative decoding and quantization effectively accelerate memory-bound inference of large language models. Speculative decoding mitigates the memory bandwidth bottleneck by verifying multiple tokens within a single forward pass, which…

计算与语言 · 计算机科学 2025-05-30 Yudi Zhang , Weilin Zhao , Xu Han , Tiejun Zhao , Wang Xu , Hailong Cao , Conghui Zhu

Connected components is a fundamental kernel in graph applications. The fastest existing parallel multicore algorithms for connectivity are based on some form of edge sampling and/or linking and compressing trees. However, many combinations…

分布式、并行与集群计算 · 计算机科学 2021-08-25 Laxman Dhulipala , Changwan Hong , Julian Shun

Processing graphs with temporal information (the temporal graphs) has become increasingly important in the real world. In this paper, we study efficient solutions to temporal graph applications using new algorithms for Incremental Minimum…

数据结构与算法 · 计算机科学 2025-05-13 Xiangyun Ding , Yan Gu , Yihan Sun

Building on prior work that established Matrix Quasi-tree Theorems for special embedded graphs, in this paper, we develop a comprehensive theory applicable to all embedded graphs. We introduce symbolic skew-adjacency matrices and reduction…

组合数学 · 数学 2025-12-02 Qingying Deng , Xian'an Jin , Qi Yan , Yexiang Yan

The increasing availability and usage of Knowledge Graphs (KGs) on the Web calls for scalable and general-purpose solutions to store this type of data structures. We propose Trident, a novel storage architecture for very large KGs on…

数据库 · 计算机科学 2020-01-27 Jacopo Urbani , Ceriel Jacobs

We are interested in embedding trees T with maximum degree at most four in a rectangular grid, such that the vertices of T correspond to grid points, while edges of T correspond to non-intersecting straight segments of the grid lines. Such…

组合数学 · 数学 2021-09-08 V. T. F. Luca , F. S. Oliveira , J. L. Szwarcfiter

The Li-Chao tree (LICT) was first introduced in lecture as an efficient data structure for dynamic lower envelope maintenance. In the years since, it has achieved widespread adoption within the competitive programming community, yet no…

数据结构与算法 · 计算机科学 2026-03-10 Chao Li

We study computational aspects of a key problem in robust statistics -- the penalized least trimmed squares (LTS) regression problem, a robust estimator that mitigates the influence of outliers in data by capping residuals with large…

最优化与控制 · 数学 2026-04-15 Xiang Meng , Andrés Gómez , Rahul Mazumder

Feature level sets (FLS) have shown significant potential in the analysis of multi-field data by using traits defined in attribute space to specify features in the domain. In this work, we address key challenges in the practical use of FLS:…

机器学习 · 计算机科学 2025-01-14 Danhua Lei , Jochen Jankowai , Petar Hristov , Hamish Carr , Leif Denby , Talha Bin Masood , Ingrid Hotz

Nowadays, data is represented by vectors. Retrieving those vectors, among millions and billions, that are similar to a given query is a ubiquitous problem, known as similarity search, of relevance for a wide range of applications.…

机器学习 · 计算机科学 2023-07-26 Cecilia Aguerrebere , Ishwar Bhati , Mark Hildebrand , Mariano Tepper , Ted Willke

We present a new approach for efficient approximate nearest neighbor (ANN) search in high dimensional spaces, extending the idea of Product Quantization. We propose a two-level product and vector quantization tree that reduces the number of…

计算机视觉与模式识别 · 计算机科学 2017-02-21 Patrick Wieschollek , Oliver Wang , Alexander Sorkine-Hornung , Hendrik P. A. Lensch

Mining cohesive subgraphs from a graph is a fundamental problem in graph data analysis. One notable cohesive structure is $\gamma$-quasi-clique (QC), where each vertex connects at least a fraction $\gamma$ of the other vertices inside.…

数据库 · 计算机科学 2023-08-29 Kaiqiang Yu , Cheng Long

The dynamic trees problem is to maintain a tree under edge updates while supporting queries like connectivity queries or path queries. Despite the first data structure for this fundamental problem -- the link-cut tree -- being invented 40…

数据结构与算法 · 计算机科学 2026-01-16 Quinten De Man , Atharva Sharma , Kishen N Gowda , Laxman Dhulipala

The graph invariant EPT-sum has cropped up in several unrelated fields in later years: As an objective function for hierarchical clustering, as a more fine-grained version of the classical edge ranking problem, and, specifically when the…

数据结构与算法 · 计算机科学 2024-07-08 Svein Høgemo

Contour trees offer an abstract representation of the level set topology in scalar fields and are widely used in topological data analysis and visualization. However, applying contour trees to large-scale scientific datasets remains…

计算几何 · 计算机科学 2025-08-13 Mingzhe Li , Hamish Carr , Oliver Rübel , Bei Wang , Gunther H. Weber

Deploying LLMs on edge devices presents serious technical challenges. Memory elasticity is crucial for edge devices with unified memory, where memory is shared and fluctuates dynamically. Existing solutions suffer from either poor…

人工智能 · 计算机科学 2025-01-14 Yuji Chai , Mujin Kwen , David Brooks , Gu-Yeon Wei

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

无序系统与神经网络 · 物理学 2020-04-29 Konstantin Klemm