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Conjunctive queries select and are expected to return certain tuples from a relational database. We study the potentially easier problem of counting all selected tuples, rather than enumerating them. In particular, we are interested in the…

计算复杂性 · 计算机科学 2019-04-30 Holger Dell , Marc Roth , Philip Wellnitz

Graph signals are functions of the underlying graph. When the edge-weight between a pair of nodes is high, the corresponding signals generally have a higher correlation. As a result, the signals can be represented in terms of a graph-based…

信号处理 · 电气工程与系统科学 2024-09-09 Rishabh Ravi , Kaushani Majumder , Kalp Vyas , Satish Mulleti

Two-sample tests utilizing a similarity graph on observations are useful for high-dimensional and non-Euclidean data due to their flexibility and good performance under a wide range of alternatives. Existing works mainly focused on sparse…

统计理论 · 数学 2023-11-14 Yejiong Zhu , Hao Chen

It has been shown in the indexing literature that there is an essential difference between prefix/range searches on the one hand, and predecessor/rank searches on the other hand, in that the former provably allows faster query resolution.…

数据结构与算法 · 计算机科学 2018-04-16 Djamal Belazzougui , Paolo Boldi , Rasmus Pagh , Sebastiano Vigna

Bit vectors with support for fast rank and select are a fundamental building block for compressed data structures. We close a gap between theory and practice by analyzing an important part of the design space and experimentally evaluating a…

数据结构与算法 · 计算机科学 2025-09-23 Florian Kurpicz , Niccolò Rigi-Luperti , Peter Sanders

Many big-data clusters store data in large partitions that support access at a coarse, partition-level granularity. As a result, approximate query processing via row-level sampling is inefficient, often requiring reads of many partitions.…

数据库 · 计算机科学 2020-08-25 Kexin Rong , Yao Lu , Peter Bailis , Srikanth Kandula , Philip Levis

Graph workloads pose a particularly challenging problem for query optimizers. They typically feature large queries made up of entirely many-to-many joins with complex correlations. This puts significant stress on traditional cardinality…

数据库 · 计算机科学 2025-05-01 Kyle Deeds , Diandre Sabale , Moe Kayali , Dan Suciu

Recent progress in pretrained Transformer-based language models has shown great success in learning contextual representation of text. However, due to the quadratic self-attention complexity, most of the pretrained Transformers models can…

计算与语言 · 计算机科学 2021-10-22 Peng Xu , Xinchi Chen , Xiaofei Ma , Zhiheng Huang , Bing Xiang

We study the densest subgraph problem and its NP-hard densest at-most-$k$ subgraph variant through the lens of learning-augmented algorithms. We show that, given a reasonably accurate predictor that estimates whether a node belongs to the…

数据结构与算法 · 计算机科学 2026-04-16 Thai Bui , Luan Nguyen , Hoa T. Vu

We study the fundamental problem of selecting optimal features for model construction. This problem is computationally challenging on large datasets, even with the use of greedy algorithm variants. To address this challenge, we extend the…

Using derandomization, we provide an upper bound on the compression size of solutions to the graph coloring problem. In general, if solutions to a combinatorial problem exist with high probability and the probability is simple, then there…

计算复杂性 · 计算机科学 2023-09-08 Samuel Epstein

Finding coarse representations of large graphs is an important computational problem in the fields of scientific computing, large scale graph partitioning, and the reduction of geometric meshes. Of particular interest in all of these fields…

离散数学 · 计算机科学 2022-04-26 Christopher Brissette , Andy Huang , George Slota

We propose an approach to learning with graph-structured data in the problem domain of graph classification. In particular, we present a novel type of readout operation to aggregate node features into a graph-level representation. To this…

机器学习 · 计算机科学 2021-05-18 Christoph D. Hofer , Florian Graf , Bastian Rieck , Marc Niethammer , Roland Kwitt

In recent years, there has been a significant amount of research focused on expanding the expressivity of Graph Neural Networks (GNNs) beyond the Weisfeiler-Lehman (1-WL) framework. While many of these studies have yielded advancements in…

机器学习 · 计算机科学 2024-03-12 Shouheng Li , Dongwoo Kim , Qing Wang

Recent results show that several important graph classes can be embedded as subgraphs of strong products of simpler graphs classes (paths, small cliques, or graphs of bounded treewidth). This paper develops general techniques to bound the…

组合数学 · 数学 2024-09-13 Louis Esperet , David R. Wood

Compressed indexing is a powerful technique that enables efficient querying over data stored in compressed form, significantly reducing memory usage and often accelerating computation. While extensive progress has been made for…

数据结构与算法 · 计算机科学 2025-10-23 Rajat De , Dominik Kempa

Expander graphs, due to their mixing properties, are useful in many algorithms and combinatorial constructions. One can produce an expander graph with high probability by taking a random graph (e.g., the union of $d$ random bijections for a…

组合数学 · 数学 2024-05-30 Geoffroy Caillat-Grenier

A graph $G=(V,E)$ is word-representable if there exists a word $w$ over the alphabet $V$ such that letters $x$ and $y$ alternate in $w$ if and only if $xy\in E$. Word-representable graphs generalize several important classes of graphs such…

组合数学 · 数学 2023-07-13 Anthony V. Petyuk

We study the problem of coloring a given graph using a small number of colors in several well-established models of computation for big data. These include the data streaming model, the general graph query model, the massively parallel…

数据结构与算法 · 计算机科学 2019-05-03 Suman K. Bera , Amit Chakrabarti , Prantar Ghosh

We present a framework for question answering that can efficiently scale to longer documents while maintaining or even improving performance of state-of-the-art models. While most successful approaches for reading comprehension rely on…

计算与语言 · 计算机科学 2017-02-09 Eunsol Choi , Daniel Hewlett , Alexandre Lacoste , Illia Polosukhin , Jakob Uszkoreit , Jonathan Berant