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Long Short-Term Memory (LSTM) is one of the most widely used recurrent structures in sequence modeling. It aims to use gates to control information flow (e.g., whether to skip some information or not) in the recurrent computations, although…

Machine Learning · Computer Science 2018-06-11 Zhuohan Li , Di He , Fei Tian , Wei Chen , Tao Qin , Liwei Wang , Tie-Yan Liu

Effectively learning from sequential data is a longstanding goal of Artificial Intelligence, especially in the case of long sequences. From the dawn of Machine Learning, several researchers have pursued algorithms and architectures capable…

Machine Learning · Computer Science 2025-08-19 Matteo Tiezzi , Michele Casoni , Alessandro Betti , Marco Gori , Stefano Melacci

Modern large language models are built on sequence modeling via next-token prediction. While the Transformer remains the dominant architecture for sequence modeling, its quadratic decoding complexity in sequence length poses a major…

Machine Learning · Computer Science 2024-10-03 Bo Liu , Rui Wang , Lemeng Wu , Yihao Feng , Peter Stone , Qiang Liu

Deep neural networks based on state space models (SSMs) are attracting significant attention in sequence modeling since their computational cost is much smaller than that of Transformers. While the capabilities of SSMs have been…

Machine Learning · Statistics 2025-03-06 Naoki Nishikawa , Taiji Suzuki

Large language models (LLMs) face a daunting challenge due to the excessive computational and memory requirements of the commonly used Transformer architecture. While state space model (SSM) is a new type of foundational network…

Computation and Language · Computer Science 2024-03-06 Wei He , Kai Han , Yehui Tang , Chengcheng Wang , Yujie Yang , Tianyu Guo , Yunhe Wang

Recommender systems aim to estimate the dynamically changing user preferences and sequential dependencies between historical user behaviour and metadata. Although transformer-based models have proven to be effective in sequential…

Information Retrieval · Computer Science 2025-10-07 Mark Obozov , Makar Baderko , Stepan Kulibaba , Nikolay Kutuzov , Alexander Gasnikov

Inference-time scaling through multiple sample generation in combination with Process- or Outcome-Reward Model (PRM or ORM) re-ranking has proven effective for text-based reasoning in large language models. This paper investigates whether…

Computation and Language · Computer Science 2025-10-20 Minghan Wang , Thuy-Trang Vu , Ehsan Shareghi , Gholamreza Haffari

Spiking neural networks have garnered increasing attention due to their energy efficiency, multiplication-free computation, and sparse event-based processing. In parallel, state space models have emerged as scalable alternatives to…

Machine Learning · Computer Science 2025-12-22 Kartikay Agrawal , Abhijeet Vikram , Vedant Sharma , Vaishnavi Nagabhushana , Ayon Borthakur

Large Language Models (LLMs) are known for their expensive and time-consuming training. Thus, oftentimes, LLMs are fine-tuned to address a specific task, given the pretrained weights of a pre-trained LLM considered a foundation model. In…

Computation and Language · Computer Science 2025-12-05 Eshed Gal , Moshe Eliasof , Javier Turek , Uri Ascher , Eran Treister , Eldad Haber

Looped Language Models (LoopLMs) enable efficient latent reasoning through depth recurrence, yet exhibit unreliable test-time scaling behavior: performance often peaks at a certain iteration depth and then collapses with further recurrence.…

Machine Learning · Computer Science 2026-05-27 Xiao-Wen Yang , Ziyu Han , Xi-Hua Zhang , Wen-Da Wei , Jie-Jing Shao , Lan-Zhe Guo , Yu-Feng Li

Reliably counting and generating sequences of items remain a significant challenge for neural networks, including Large Language Models (LLMs). Indeed, although this capability is readily handled by rule-based symbolic systems based on…

Artificial Intelligence · Computer Science 2026-01-14 Kuinan Hou , Marco Zorzi , Alberto Testolin

Pushdown systems (PDSs) and recursive state machines (RSMs), which are linearly equivalent, are standard models for interprocedural analysis. Yet RSMs are more convenient as they (a) explicitly model function calls and returns, and (b)…

Programming Languages · Computer Science 2020-01-13 Krishnendu Chatterjee , Bernhard Kragl , Samarth Mishra , Andreas Pavlogiannis

Recurrent Neural Networks (RNNs), more specifically their Long Short-Term Memory (LSTM) variants, have been widely used as a deep learning tool for tackling sequence-based learning tasks in text and speech. Training of such LSTM…

Machine Learning · Computer Science 2021-06-24 Anup Sarma , Sonali Singh , Huaipan Jiang , Rui Zhang , Mahmut T Kandemir , Chita R Das

Deep state space models (SSMs) are an actively researched model class for temporal models developed in the deep learning community which have a close connection to classic SSMs. The use of deep SSMs as a black-box identification model can…

Systems and Control · Electrical Eng. & Systems 2021-06-21 Daniel Gedon , Niklas Wahlström , Thomas B. Schön , Lennart Ljung

Structured state-space models (SSMs) have been developed to offer more persistent memory retention than traditional recurrent neural networks, while maintaining real-time inference capabilities and addressing the time-complexity limitations…

Machine Learning · Computer Science 2025-09-09 Takashi Morita

State Space Models (SSMs) have recently emerged as efficient alternatives to Transformer-Based Models (TBMs) for long-sequence processing with linear scaling, yet how contextual information flows across layers in these architectures remains…

Computation and Language · Computer Science 2026-01-08 Nhat M. Hoang , Do Xuan Long , Cong-Duy Nguyen , Min-Yen Kan , Luu Anh Tuan

Modern large language models (LLMs) place extraordinary pressure on memory and compute budgets, making principled compression indispensable for both deployment and continued training. We present Hierarchical Sparse Plus Low-Rank (HSS)…

Machine Learning · Computer Science 2026-01-14 Pawan Kumar , Aditi Gupta

Long Short-Term Memory (LSTM) is a popular approach to boosting the ability of Recurrent Neural Networks to store longer term temporal information. The capacity of an LSTM network can be increased by widening and adding layers. However,…

Machine Learning · Statistics 2017-12-14 Zhen He , Shaobing Gao , Liang Xiao , Daxue Liu , Hangen He , David Barber

Recently, recurrent models such as state space models and linear attention have become popular due to their linear complexity in the sequence length. Thanks to their recurrent nature, in principle they can process arbitrarily long…

Machine Learning · Computer Science 2025-10-14 Ricardo Buitrago Ruiz , Albert Gu

State-space language models such as Mamba match Transformer quality while permitting linear complexity inference, yet still comprise billions of parameters that hinder deployment. Existing one-shot pruning methods are tailored to attention…

Machine Learning · Computer Science 2025-06-12 Kaiwen Tuo , Huan Wang
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