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Sketching algorithms have recently proven to be a powerful approach both for designing low-space streaming algorithms as well as fast polynomial time approximation schemes (PTAS). In this work, we develop new techniques to extend the…

Data Structures and Algorithms · Computer Science 2023-10-31 Gregory Dexter , Petros Drineas , David P. Woodruff , Taisuke Yasuda

Many streaming algorithms provide only a high-probability relative approximation. These two relaxations, of allowing approximation and randomization, seem necessary -- for many streaming problems, both relaxations must be employed…

Data Structures and Algorithms · Computer Science 2023-05-16 Vladimir Braverman , Robert Krauthgamer , Aditya Krishnan , Shay Sapir

In this work, we study the problem of detecting periodic trends in strings. While detecting exact periodicity has been studied extensively, real-world data is often noisy, where small deviations or mismatches occur between repetitions. This…

Data Structures and Algorithms · Computer Science 2025-09-22 Taha El Ghazi , Tatiana Starikovskaya

This paper introduces Memory-limited Online Subspace Estimation Scheme (MOSES) for both estimating the principal components of streaming data and reducing its dimension. More specifically, in various applications such as sensor networks,…

Information Theory · Computer Science 2021-02-12 Armin Eftekhari , Raphael A. Hauser , Andreas Grammenos

We study edit distance computation with preprocessing: the preprocessing algorithm acts on each string separately, and then the query algorithm takes as input the two preprocessed strings. This model is inspired by scenarios where we would…

Data Structures and Algorithms · Computer Science 2021-08-23 Elazar Goldenberg , Aviad Rubinstein , Barna Saha

We prove a hypercontractive inequality for matrix-valued functions defined over large alphabets. In order to do so, we prove a generalization of the powerful $2$-uniform convexity inequality for trace norms of Ball, Carlen, Lieb…

Computational Complexity · Computer Science 2024-11-12 Srinivasan Arunachalam , Joao F. Doriguello

A longstanding observation, which was partially proven in \cite{LNW14,AHLW16}, is that any turnstile streaming algorithm can be implemented as a linear sketch (the reverse is trivially true). We study the relationship between turnstile…

Data Structures and Algorithms · Computer Science 2021-01-06 John Kallaugher , Eric Price

We introduce a novel technique for ``lifting'' dimension lower bounds for linear sketches in the real-valued setting to dimension lower bounds for linear sketches with polynomially-bounded integer entries when the input is a…

Data Structures and Algorithms · Computer Science 2025-03-26 Elena Gribelyuk , Honghao Lin , David P. Woodruff , Huacheng Yu , Samson Zhou

The design of binary error-correcting codes is a challenging optimization problem with several applications in telecommunications and storage, which has also been addressed with metaheuristic techniques and evolutionary algorithms. Still,…

Neural and Evolutionary Computing · Computer Science 2022-11-22 Claude Carlet , Luca Mariot , Luca Manzoni , Stjepan Picek

In many problems in data mining and machine learning, data items that need to be clustered or classified are not points in a high-dimensional space, but are distributions (points on a high dimensional simplex). For distributions, natural…

Data Structures and Algorithms · Computer Science 2007-07-13 Sudipto Guha , Andrew McGregor , Suresh Venkatasubramanian

Long-sequence streaming 3D reconstruction remains a significant open challenge. Existing autoregressive models often fail when processing long sequences because they anchor poses to the first frame, leading to attention decay, scale drift,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Chong Cheng , Xianda Chen , Tao Xie , Wei Yin , Weiqiang Ren , Qian Zhang , Xiaoyang Guo , Hao Wang

Several measures exist for string similarity, including notable ones like the edit distance and the indel distance. The former measures the count of insertions, deletions, and substitutions required to transform one string into another,…

Data Structures and Algorithms · Computer Science 2024-10-15 Sudatta Bhattacharya , Sanjana Dey , Elazar Goldenberg , Michal Koucký

In streaming scenarios, models must learn continuously, adapting to concept drifts without erasing previously acquired knowledge. However, existing research communities address these challenges in isolation. Continual Learning (CL) focuses…

Machine Learning · Computer Science 2025-12-15 Afonso Lourenço , João Gama , Eric P. Xing , Goreti Marreiros

We consider the problem of computing a $(1+\epsilon)$-approximation of the Hamming distance between a pattern of length $n$ and successive substrings of a stream. We first look at the one-way randomised communication complexity of this…

Data Structures and Algorithms · Computer Science 2016-02-24 Raphael Clifford , Tatiana Starikovskaya

Here, we present a novel algorithm for frequent itemset mining for streaming data (FIM-SD). For the past decade, various FIM-SD methods in one-pass approximation settings have been developed to approximate the frequency of each itemset.…

Databases · Computer Science 2019-01-08 Yoshitaka Yamamoto , Yasuo Tabei , Koji Iwanuma

We consider the general problem of the Longest Common Subsequence (LCS) on weighted sequences. Weighted sequences are an extension of classical strings, where in each position every letter of the alphabet may occur with some probability.…

Computational Complexity · Computer Science 2020-07-21 Evangelos Kipouridis , Kostas Tsichlas

While the search for quantum advantage typically focuses on speedups in execution time, quantum algorithms also offer the potential for advantage in space complexity. Previous work has shown such advantages for data stream problems, in…

Quantum Physics · Physics 2023-11-27 John Kallaugher , Ojas Parekh , Nadezhda Voronova

The sliding window model generalizes the standard streaming model and often performs better in applications where recent data is more important or more accurate than data that arrived prior to a certain time. We study the problem of…

Data Structures and Algorithms · Computer Science 2021-09-06 Vladimir Braverman , Viska Wei , Samson Zhou

The edit distance is a fundamental measure of sequence similarity, defined as the minimum number of character insertions, deletions, and substitutions needed to transform one string into the other. Given two strings of length at most $n$,…

Data Structures and Algorithms · Computer Science 2023-07-17 Tomasz Kociumaka , Anish Mukherjee , Barna Saha

Model editing updates a pre-trained LLM with new facts or rules without retraining while preserving unrelated behavior. In real deployment, edits arrive as long streams, creating a plasticity-stability dilemma: repeated locate-then-edit…

Machine Learning · Computer Science 2026-05-12 Xinyu Wang , Sicheng Lyu , Yu Gu , Jerry Huang , Peng Lu , Yufei Cui , Xiao-Wen Chang