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We investigate the class of visibly pushdown languages in the sliding window model. A sliding window algorithm for a language $L$ receives a stream of symbols and has to decide at each time step whether the suffix of length $n$ belongs to…

Formal Languages and Automata Theory · Computer Science 2019-01-01 Moses Ganardi

We study the problem of recognizing regular languages in a variant of the streaming model of computation, called the sliding window model. In this model, we are given a size of the sliding window $n$ and a stream of symbols. At each time…

Data Structures and Algorithms · Computer Science 2019-09-25 Moses Ganardi , Danny Hucke , Markus Lohrey , Tatiana Starikovskaya

A sliding window algorithm receives a stream of symbols and has to output at each time instant a certain value which only depends on the last $n$ symbols. If the algorithm is randomized, then at each time instant it produces an incorrect…

Formal Languages and Automata Theory · Computer Science 2018-02-22 Moses Ganardi , Danny Hucke , Markus Lohrey

We study the space complexity of the following problem: For a fixed regular language $L$, we receive a stream of symbols and want to test membership of a sliding window of size $n$ in $L$. For deterministic streaming algorithms we prove a…

Formal Languages and Automata Theory · Computer Science 2025-03-12 Moses Ganardi , Danny Hucke , Markus Lohrey , Konstantinos Mamouras , Tatiana Starikovskaya

Large Language Models (LLMs) have shown exciting performance in listwise passage ranking. Due to the limited input length, existing methods often adopt the sliding window strategy. Such a strategy, though effective, is inefficient as it…

Information Retrieval · Computer Science 2024-12-20 Wenhan Liu , Xinyu Ma , Yutao Zhu , Ziliang Zhao , Shuaiqiang Wang , Dawei Yin , Zhicheng Dou

We consider time-space tradeoffs for exactly computing frequency moments and order statistics over sliding windows. Given an input of length 2n-1, the task is to output the function of each window of length n, giving n outputs in total.…

Computational Complexity · Computer Science 2013-09-19 Paul Beame , Raphael Clifford , Widad Machmouchi

Previous work on Dynamic Complexity has established that there exist dynamic constant-time parallel algorithms for regular tree languages and context-free languages under label or symbol changes. However, these algorithms were not developed…

Data Structures and Algorithms · Computer Science 2023-07-20 Jonas Schmidt , Thomas Schwentick , Jennifer Todtenhoefer

Recent advances in transformer-based Large Language Models (LLMs) have demonstrated remarkable capabilities across various tasks. However, their quadratic computational complexity concerning sequence length remains a significant bottleneck…

Computation and Language · Computer Science 2025-06-05 Zichuan Fu , Wentao Song , Yejing Wang , Xian Wu , Yefeng Zheng , Yingying Zhang , Derong Xu , Xuetao Wei , Tong Xu , Xiangyu Zhao

Large Language Models (LLMs) have significantly impacted many facets of natural language processing and information retrieval. Unlike previous encoder-based approaches, the enlarged context window of these generative models allows for…

Information Retrieval · Computer Science 2024-05-24 Andrew Parry , Sean MacAvaney , Debasis Ganguly

Unlike autoregressive language models, which terminate variable-length generation upon predicting an End-of-Sequence (EoS) token, Diffusion Language Models (DLMs) operate over a fixed maximum-length context window for a predetermined number…

Computation and Language · Computer Science 2026-03-09 Vittorio Rossi , Giacomo Cirò , Davide Beltrame , Luca Gandolfi , Paul Röttger , Dirk Hovy

In recent years, pre-trained large language models (LLMs) have demonstrated remarkable efficiency in achieving an inference-time few-shot learning capability known as in-context learning. However, existing literature has highlighted the…

Computation and Language · Computer Science 2024-02-14 Xinyi Wang , Wanrong Zhu , Michael Saxon , Mark Steyvers , William Yang Wang

We introduce Options LLM (OLLM), a simple, general method that replaces the single next-token prediction of standard LLMs with a \textit{set of learned options} for the next token, indexed by a discrete latent variable. Instead of relying…

Artificial Intelligence · Computer Science 2026-04-22 Shashank Sharma , Janina Hoffmann , Vinay Namboodiri

In a recent paper we analyzed the space complexity of streaming algorithms whose goal is to decide membership of a sliding window to a fixed language. For the class of regular languages we proved a space trichotomy theorem: for every…

Formal Languages and Automata Theory · Computer Science 2018-01-08 Moses Ganardi , Danny Hucke , Daniel König , Markus Lohrey , Konstantinos Mamouras

Large Language Models (LLMs) encounter significant performance bottlenecks in long-sequence tasks due to the computational complexity and memory overhead inherent in the self-attention mechanism. To address these challenges, we introduce…

Artificial Intelligence · Computer Science 2026-02-17 Ziming Wang , Xiang Wang , Kailong Peng , Lang Qin , Juan Gabriel Kostelec , Christos Sourmpis , Axel Laborieux , Qinghai Guo

We show how to utilize machine learning approaches to improve sliding window algorithms for approximate frequency estimation problems, under the ``algorithms with predictions'' framework. In this dynamic environment, previous…

Data Structures and Algorithms · Computer Science 2024-09-19 Rana Shahout , Ibrahim Sabek , Michael Mitzenmacher

Large Language Model (LLM) inference, where a trained model generates text one word at a time in response to user prompts, is a computationally intensive process requiring efficient scheduling to optimize latency and resource utilization. A…

Machine Learning · Computer Science 2026-01-16 Patrick Jaillet , Jiashuo Jiang , Konstantina Mellou , Marco Molinaro , Chara Podimata , Zijie Zhou

Multimodal large language models (MLLMs) have demonstrated impressive general competence in video understanding, yet their reliability for real-world Video Anomaly Detection (VAD) remains largely unexplored. Unlike conventional pipelines…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Shanle Yao , Armin Danesh Pazho , Narges Rashvand , Hamed Tabkhi

Large language models (LLMs) operate within fixed context windows that fundamentally limit conversational continuity. When context fills, compaction discards history irreversibly; when sessions end, all memory resets to zero. Existing…

Information Retrieval · Computer Science 2026-05-21 Rajendra Narayan Jena , Rajan Padmanabhan , Sankar Arumugam

Large language models (LLMs) excel across diverse natural language processing tasks but face resource demands and limited context windows. Although techniques like pruning, quantization, and token dropping can mitigate these issues, their…

Computation and Language · Computer Science 2025-08-04 Ammar Ahmed , Sheng Di , Franck Cappello , Zirui Liu , Jingoo Han , Ali Anwar

We study architectural and optimization techniques for sample-efficient language modeling under the constraints of the BabyLM 2025 shared task. Our model, BLaLM, replaces self-attention with a linear-time mLSTM token mixer and explores…

Computation and Language · Computer Science 2025-11-11 Patrick Haller , Jonas Golde , Alan Akbik
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