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In this work, we present a new random sampling method for data streams where the probability of an element's inclusion in the sample is proportional to a weight associated with that element. Our method is based on sampling with replacement,…

Data Structures and Algorithms · Computer Science 2026-03-18 Adriano Meligrana , Adriano Fazzone

We consider the \textsf{Unit Interval Selection} problem in the one-pass random order streaming model. Here, an algorithm is presented a sequence of $n$ unit-length intervals on the line that arrive in uniform random order, and the…

Data Structures and Algorithms · Computer Science 2026-03-11 Cezar-Mihail Alexandru , Adithya Diddapur , Magnús M. Halldórsson , Christian Konrad , Kheeran K. Naidu

Applications that learn from opinionated documents, like tweets or product reviews, face two challenges. First, the opinionated documents constitute an evolving stream, where both the author's attitude and the vocabulary itself may change.…

Information Retrieval · Computer Science 2015-09-07 Max Zimmermann , Eirini Ntoutsi , Myra Spiliopoulou

Typography and layout lead to the hierarchical organisation of text in words, text lines, paragraphs. This inherent structure is a key property of text in any script and language, which has nonetheless been minimally leveraged by existing…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Lluis Gomez , Dimosthenis Karatzas

We consider a surface Stokes problem in stream function formulation on a simply connected oriented surface $\Gamma \subset \mathbb{R}^3$ without boundary. This formulation leads to a coupled system of two second order scalar surface partial…

Numerical Analysis · Mathematics 2019-10-22 Philip Brandner , Arnold Reusken

Resampling is a key component of sample-based recursive state estimation in particle filters. Recent work explores differentiable particle filters for end-to-end learning. However, resampling remains a challenge in these works, as it is…

Machine Learning · Computer Science 2020-04-28 Michael Zhu , Kevin Murphy , Rico Jonschkowski

We present data streaming algorithms for the $k$-median problem in high-dimensional dynamic geometric data streams, i.e. streams allowing both insertions and deletions of points from a discrete Euclidean space $\{1, 2, \ldots \Delta\}^d$.…

Data Structures and Algorithms · Computer Science 2017-06-14 Vladimir Braverman , Gereon Frahling , Harry Lang , Christian Sohler , Lin F. Yang

The branching algorithm is a fundamental technique for designing fast exponential-time algorithms to solve combinatorial optimization problems exactly. It divides the entire solution space into independent search branches using…

Optimization and Control · Mathematics 2024-12-11 Xuan-Zhao Gao , Yi-Jia Wang , Pan Zhang , Jin-Guo Liu

Modern streaming data categorization faces significant challenges from concept drift and class imbalanced data. This negatively impacts the output of the classifier, leading to improper classification. Furthermore, other factors such as the…

Machine Learning · Computer Science 2023-09-29 Priya. S , Haribharathi Sivakumar , Vijay Arvind. R

We study differentially private continual release of the number of distinct items in a turnstile stream, where items may be both inserted and deleted. A recent work of Jain, Kalemaj, Raskhodnikova, Sivakumar, and Smith (NeurIPS '23) shows…

Data Structures and Algorithms · Computer Science 2026-03-05 Anders Aamand , Justin Y. Chen , Sandeep Silwal

In this paper we relate a number of parsing algorithms which have been developed in very different areas of parsing theory, and which include deterministic algorithms, tabular algorithms, and a parallel algorithm. We show that these…

cmp-lg · Computer Science 2008-02-03 Mark-Jan Nederhof

Estimating frequencies of elements appearing in a data stream is a key task in large-scale data analysis. Popular sketching approaches to this problem (e.g., CountMin and CountSketch) come with worst-case guarantees that probabilistically…

Data Structures and Algorithms · Computer Science 2023-12-13 Anders Aamand , Justin Y. Chen , Huy Lê Nguyen , Sandeep Silwal , Ali Vakilian

In critical applications of anomaly detection including computer security and fraud prevention, the anomaly detector must be configurable by the analyst to minimize the effort on false positives. One important way to configure the anomaly…

Machine Learning · Computer Science 2018-09-19 Shubhomoy Das , Md Rakibul Islam , Nitthilan Kannappan Jayakodi , Janardhan Rao Doppa

The rare-event sampling problem has long been the central limiting factor in molecular dynamics (MD), especially in biomolecular simulation. Recently, diffusion models such as BioEmu have emerged as powerful equilibrium samplers that…

Determinantal point processes (DPPs) are a useful probabilistic model for selecting a small diverse subset out of a large collection of items, with applications in summarization, stochastic optimization, active learning and more. Given a…

Machine Learning · Computer Science 2020-07-01 Daniele Calandriello , Michał Dereziński , Michal Valko

The Element Distinctness problem is to decide whether each character of an input string is unique. The quantum query complexity of Element Distinctness is known to be $\Theta(N^{2/3})$; the polynomial method gives a tight lower bound for…

Quantum Physics · Physics 2014-08-04 Ansis Rosmanis

This article investigates a space-time differential model related to the degradation of stone artifacts caused by exposure to air and atmospheric agents, which specifically lead to the accumulation of salt crystals in the material. A…

Given a set of $n$ elements separated by a pairwise distance matrix, the minimum differential dispersion problem (Min-Diff DP) aims to identify a subset of m elements (m < n) such that the difference between the maximum sum and the minimum…

Discrete Mathematics · Computer Science 2016-08-16 Yangming Zhou , Jin-Kao Hao

Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

Methodology · Statistics 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

Evaluating whether data streams are drawn from the same distribution is at the heart of various machine learning problems. This is particularly relevant for data generated by dynamical systems since such systems are essential for many…

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