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The generalized egg dropping problem is a classic challenge in sequential decision-making. Standard dynamic programming evaluates the minimax minimum number of tests in $\mathcal{O}(K \cdot N^2)$ time. A known approach formulates the…

Data Structures and Algorithms · Computer Science 2026-05-18 Kleitos Papadopoulos

We give the first non-trivial fully dynamic probabilistic tree embedding algorithm for weighted graphs undergoing edge insertions and deletions. We obtain a trade-off between amortized update time and expected stretch against an oblivious…

Data Structures and Algorithms · Computer Science 2020-04-24 Sebastian Forster , Gramoz Goranci , Monika Henzinger

The pairing heap is a simple "self-adjusting" implementation of a heap (priority queue). Inserting an item into a pairing heap or decreasing the key of an item takes O(1) time worst-case, as does melding two heaps. But deleting an item of…

Data Structures and Algorithms · Computer Science 2022-08-26 Corwin Sinnamon , Robert Tarjan

We solve the dynamic Predecessor Problem with high probability (whp) in constant time, using only $n^{1+\delta}$ bits of memory, for any constant $\delta > 0$. The input keys are random wrt a wider class of the well studied and practically…

Data Structures and Algorithms · Computer Science 2011-04-25 D. Belazzougui , A. C. Kaporis , P. G. Spirakis

Retrieving real-time information is a fundamental capability for search-integrated agents in real-world applications. However, existing benchmarks are predominantly static and therefore fail to capture the temporal dynamics of information…

Information Retrieval · Computer Science 2026-05-12 Wenjie Zhou , Yuan Gao , Xin Zhou , Hao Fu , Zhongjian Miao , Wei Chen , Bo Chen , Xiaobing Zhao

In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we prove the highest lower bound to date for any explicit problem,…

Data Structures and Algorithms · Computer Science 2012-08-28 Kasper Green Larsen

We study a class of graph analytics SQL queries, which we call relationship queries. Relationship queries are a wide superset of fixed-length graph reachability queries and of tree pattern queries. Intuitively, it discovers target entities…

Databases · Computer Science 2016-04-12 Chunbin Lin , Benjamin Mandel , Yannis Papakonstantinou , Matthias Springer

Modern analytical query engines (AQEs) are essential for large-scale data analysis and processing. These systems usually provide numerous query-level tunable knobs that significantly affect individual query performance. While several…

Databases · Computer Science 2025-06-23 Lixiang Chen , Yuxing Han , Yu Chen , Xing Chen , Chengcheng Yang , Weining Qian

Classical approaches for OLAP assume that the data of all tables is complete. However, in case of incomplete tables with missing tuples, classical approaches fail since the result of a SQL aggregate query might significantly differ from the…

Databases · Computer Science 2021-05-27 Benjamin Hilprecht , Carsten Binnig

Given a $d$-dimensional array $A$, an update operation adds a given constant $C$ to each element within a continuous sub-array of $A$. A query operation computes the sum of all the elements within a continuous sub-array of $A$. The…

Data Structures and Algorithms · Computer Science 2016-08-05 Pushkar Mishra

We study consistent query answering in relational databases. We consider an expressive class of schema constraints that generalizes both tuple-generating dependencies and equality-generating dependencies. We establish the complexity of…

Databases · Computer Science 2022-07-20 Lorenzo Marconi , Riccardo Rosati

Large language models (LLMs) have made fundamental changes in human life. The attention scheme is one of the key components over all the LLMs, such as BERT, GPT-1, Transformers, GPT-2, 3, 3.5 and 4. Inspired by previous theoretical study of…

Data Structures and Algorithms · Computer Science 2023-04-06 Jan van den Brand , Zhao Song , Tianyi Zhou

Query-by-example search often uses dynamic time warping (DTW) for comparing queries and proposed matching segments. Recent work has shown that comparing speech segments by representing them as fixed-dimensional vectors --- acoustic word…

Computation and Language · Computer Science 2017-06-14 Shane Settle , Keith Levin , Herman Kamper , Karen Livescu

Controlled Query Evaluation (CQE) has been recently studied in the context of Semantic Web ontologies. The goal of CQE is concealing some query answers so as to prevent external users from inferring confidential information. In general,…

Conditional lower bounds for dynamic graph problems has received a great deal of attention in recent years. While many results are now known for the fully-dynamic case and such bounds often imply worst-case bounds for the partially dynamic…

Data Structures and Algorithms · Computer Science 2016-05-04 Søren Dahlgaard

Domain-specific finetuning is essential for dense retrievers, yet not all training pairs contribute equally to the learning process. We introduce OPERA, a data pruning framework that exploits this heterogeneity to improve both the…

Information Retrieval · Computer Science 2026-04-02 Haoyang Fang , Shuai Zhang , Yifei Ma , Hengyi Wang , Cuixiong Hu , Katrin Kirchhoff , Bernie Wang , George Karypis

Selecting a small set of representatives from a large database is important in many applications such as multi-criteria decision making, web search, and recommendation. The $k$-regret minimizing set ($k$-RMS) problem was recently proposed…

Databases · Computer Science 2021-06-30 Yanhao Wang , Yuchen Li , Raymond Chi-Wing Wong , Kian-Lee Tan

Order Dependencies (ODs) have many applications, such as query optimization, data integration, and data cleaning. Although many works addressed the problem of discovering OD (and its variants), they do not consider datasets with missing…

Databases · Computer Science 2024-01-01 Alejandro Ramos , Takuya Uemura , Daichi Amagata , Ryo Shirai , Takahiro Hara

For many data-processing applications, a comprehensive set of efficient operations for the management of priority values is required. Indexed priority queues are particularly promising to satisfy this requirement by design. In this work, we…

Data Structures and Algorithms · Computer Science 2023-12-07 Christian Loeffeld

In the context of incremental view maintenance (IVM), delta query derivation is an essential technique for speeding up the processing of large, dynamic datasets. The goal is to generate delta queries that, given a small change in the input,…

Databases · Computer Science 2016-04-12 Christoph Koch , Daniel Lupei , Val Tannen