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We develop a dynamical systems approach to prioritizing and selecting multiple recurring tasks with the aim of conferring a degree of deliberative goal selection to a mobile robot confronted with competing objectives. We take navigation as…

Dynamical Systems · Mathematics 2018-03-12 Paul B. Reverdy , Daniel E. Koditschek

Recent speaker extraction methods using deep non-linear spatial filtering perform exceptionally well when the target direction is known and stationary. However, spatially dynamic scenarios are considerably more challenging due to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-21 Jakob Kienegger , Timo Gerkmann

We consider several well-studied problems in dynamic algorithms and prove that sufficient progress on any of them would imply a breakthrough on one of five major open problems in the theory of algorithms: 1. Is the 3SUM problem on $n$…

Data Structures and Algorithms · Computer Science 2014-02-04 Amir Abboud , Virginia Vassilevska Williams

Clustering is a fundamental tool for analyzing large data sets. A rich body of work has been devoted to designing data-stream algorithms for the relevant optimization problems such as $k$-center, $k$-median, and $k$-means. Such algorithms…

Data Structures and Algorithms · Computer Science 2018-12-06 Kook Jin Ahn , Graham Cormode , Sudipto Guha , Andrew McGregor , Anthony Wirth

Particle filtering is a standard Monte-Carlo approach for a wide range of sequential inference tasks. The key component of a particle filter is a set of particles with importance weights that serve as a proxy of the true posterior…

Machine Learning · Computer Science 2022-09-02 Ruizhi Deng , Greg Mori , Andreas M. Lehrmann

Just as user preferences change with time, item reviews also reflect those same preference changes. In a nutshell, if one is to sequentially incorporate review content knowledge into recommender systems, one is naturally led to dynamical…

Information Retrieval · Computer Science 2022-03-23 Kostadin Cvejoski , Ramses J. Sanchez , Christian Bauckhage , Cesar Ojeda

We introduce a framework that represents a dynamic program as a family of operators acting on a partially ordered set. We provide an optimality theory based only on order-theoretic assumptions and show how applications across almost all…

Optimization and Control · Mathematics 2025-01-07 Thomas J. Sargent , John Stachurski

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

Data efficiency, despite being an attractive characteristic, is often challenging to measure and optimize for in task-oriented semantic parsing; unlike exact match, it can require both model- and domain-specific setups, which have,…

Computation and Language · Computer Science 2021-07-13 Shrey Desai , Akshat Shrivastava , Justin Rill , Brian Moran , Safiyyah Saleem , Alexander Zotov , Ahmed Aly

In dynamic submodular maximization, the goal is to maintain a high-value solution over a sequence of element insertions and deletions with a fast update time. Motivated by large-scale applications and the fact that dynamic data often…

Data Structures and Algorithms · Computer Science 2024-03-11 Arpit Agarwal , Eric Balkanski

We consider the problem of maintaining a $(1-\epsilon)$-approximation to the densest subgraph (DSG) in an undirected multigraph as it undergoes edge insertions and deletions (the fully dynamic setting). Sawlani and Wang [SW20] developed a…

Data Structures and Algorithms · Computer Science 2022-10-07 Chandra Chekuri , Kent Quanrud

Dynamic Threshold Optimization (DTO) adaptively "compresses" the decision space (DS) in a global search and optimization problem by bounding the objective function from below. This approach is different from "shrinking" DS by reducing…

Other Computer Science · Computer Science 2012-06-07 Richard A. Formato

Detecting and visualizing what are the most relevant changes in an evolving network is an open challenge in several domains. We present a fast algorithm that filters subsets of the strongest nodes and edges representing an evolving weighted…

Social and Information Networks · Computer Science 2014-11-05 Przemyslaw A. Grabowicz , Luca Maria Aiello , Filippo Menczer

Maximizing monotone submodular functions under cardinality constraints is a classic optimization task with several applications in data mining and machine learning. In this paper we study this problem in a dynamic environment with…

Data Structures and Algorithms · Computer Science 2024-05-31 Paul Dütting , Federico Fusco , Silvio Lattanzi , Ashkan Norouzi-Fard , Morteza Zadimoghaddam

The dynamic environment in the real world calls for the adaptive techniques for information filtering, namely to provide real-time responses to the changes of system data. Where many incremental algorithms are designed for this purpose,…

Information Retrieval · Computer Science 2009-11-26 Ci-Hang Jin , Jian-Guo Liu , Yi-Cheng Zhang , Tao Zhou

New approaches to the theory of dynamic programming view dynamic programs as families of policy operators acting on partially ordered sets. In this paper, we extend these ideas by shifting from arbitrary partially ordered sets to ordered…

Optimization and Control · Mathematics 2026-02-02 Nisha Peng , John Stachurski

We consider space efficient hash tables that can grow and shrink dynamically and are always highly space efficient, i.e., their space consumption is always close to the lower bound even while growing and when taking into account storage…

Data Structures and Algorithms · Computer Science 2017-05-03 Tobias Maier , Peter Sanders

In this paper we are interested in indexing texts for substring matching queries with one edit error. That is, given a text $T$ of $n$ characters over an alphabet of size $\sigma$, we are asked to build a data structure that answers the…

Data Structures and Algorithms · Computer Science 2014-08-25 Djamal Belazzougui

We study the problem of constructing a dynamic fully indexable dictionary (FID) in the Word-RAM model using space close to the information-theoretic lower bound. A FID is a data-structure that encodes a bit-vector $B$ of length $u$ and…

Data Structures and Algorithms · Computer Science 2026-03-25 Gabriel Marques Domingues

Recommender systems have been actively and extensively studied over past decades. In the meanwhile, the boom of Big Data is driving fundamental changes in the development of recommender systems. In this paper, we propose a dynamic…

Information Retrieval · Computer Science 2017-03-13 Shuai Zhang , Lina Yao