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State space models (SSM) have recently been shown to be very effective as a deep learning layer as a promising alternative to sequence models such as RNNs, CNNs, or Transformers. The first version to show this potential was the S4 model,…

机器学习 · 计算机科学 2022-08-08 Albert Gu , Ankit Gupta , Karan Goel , Christopher Ré

State space models have shown to be effective at modeling long range dependencies, specially on sequence classification tasks. In this work we focus on autoregressive sequence modeling over English books, Github source code and ArXiv…

机器学习 · 计算机科学 2022-07-05 Harsh Mehta , Ankit Gupta , Ashok Cutkosky , Behnam Neyshabur

A central goal of sequence modeling is designing a single principled model that can address sequence data across a range of modalities and tasks, particularly on long-range dependencies. Although conventional models including RNNs, CNNs,…

机器学习 · 计算机科学 2022-08-08 Albert Gu , Karan Goel , Christopher Ré

Structured state space sequence (S4) models have recently achieved state-of-the-art performance on long-range sequence modeling tasks. These models also have fast inference speeds and parallelisable training, making them potentially useful…

Sequence models based on linear state spaces (SSMs) have recently emerged as a promising choice of architecture for modeling long range dependencies across various modalities. However, they invariably rely on discretization of a continuous…

机器学习 · 计算机科学 2023-11-15 Ankit Gupta , Harsh Mehta , Jonathan Berant

A proper parametrization of state transition matrices of linear state-space models (SSMs) followed by standard nonlinearities enables them to efficiently learn representations from sequential data, establishing the state-of-the-art on a…

机器学习 · 计算机科学 2022-09-28 Ramin Hasani , Mathias Lechner , Tsun-Hsuan Wang , Makram Chahine , Alexander Amini , Daniela Rus

State-space models (SSMs) have recently attention as an efficient alternative to computationally expensive attention-based models for sequence modeling. They rely on linear recurrences to integrate information over time, enabling fast…

机器学习 · 计算机科学 2026-01-01 Mahdi Karami , Ali Behrouz , Peilin Zhong , Razvan Pascanu , Vahab Mirrokni

Structured state-space models (SSMs) such as S4, stemming from the seminal work of Gu et al., are gaining popularity as effective approaches for modeling sequential data. Deep SSMs demonstrate outstanding performance across a diverse set of…

机器学习 · 计算机科学 2025-01-07 Nicola Muca Cirone , Antonio Orvieto , Benjamin Walker , Cristopher Salvi , Terry Lyons

State-space models (SSMs) have recently emerged as a framework for learning long-range sequence tasks. An example is the structured state-space sequence (S4) layer, which uses the diagonal-plus-low-rank structure of the HiPPO initialization…

机器学习 · 计算机科学 2023-10-04 Annan Yu , Arnur Nigmetov , Dmitriy Morozov , Michael W. Mahoney , N. Benjamin Erichson

Models using structured state space sequence (S4) layers have achieved state-of-the-art performance on long-range sequence modeling tasks. An S4 layer combines linear state space models (SSMs), the HiPPO framework, and deep learning to…

机器学习 · 计算机科学 2023-03-06 Jimmy T. H. Smith , Andrew Warrington , Scott W. Linderman

Linear time-invariant state space models (SSM) are a classical model from engineering and statistics, that have recently been shown to be very promising in machine learning through the Structured State Space sequence model (S4). A core…

机器学习 · 计算机科学 2022-08-08 Albert Gu , Isys Johnson , Aman Timalsina , Atri Rudra , Christopher Ré

State Space Models (SSMs) have emerged as powerful components for sequence modeling, enabling efficient handling of long-range dependencies via linear recurrence and convolutional computation. However, their effectiveness depends heavily on…

机器学习 · 计算机科学 2025-06-10 Hossein Babaei , Mel White , Richard G. Baraniuk

We propose a multi-dimensional structured state space (S4) approach to speech enhancement. To better capture the spectral dependencies across the frequency axis, we focus on modifying the multi-dimensional S4 layer with whitening…

音频与语音处理 · 电气工程与系统科学 2023-08-28 Pin-Jui Ku , Chao-Han Huck Yang , Sabato Marco Siniscalchi , Chin-Hui Lee

Modeling long-range dependencies in sequential data is a crucial step in sequence learning. A recently developed model, the Structured State Space (S4), demonstrated significant effectiveness in modeling long-range sequences. However, It is…

机器学习 · 计算机科学 2024-03-27 Jiqun Chu , Zuoquan Lin

This paper studies sequence modeling for prediction tasks with long range dependencies. We propose a new formulation for state space models (SSMs) based on learning linear dynamical systems with the spectral filtering algorithm (Hazan et…

机器学习 · 计算机科学 2024-07-12 Naman Agarwal , Daniel Suo , Xinyi Chen , Elad Hazan

Transformer models have achieved superior performance in various natural language processing tasks. However, the quadratic computational cost of the attention mechanism limits its practicality for long sequences. There are existing…

计算与语言 · 计算机科学 2022-12-19 Simiao Zuo , Xiaodong Liu , Jian Jiao , Denis Charles , Eren Manavoglu , Tuo Zhao , Jianfeng Gao

State-space models (SSMs) offer a powerful framework for dynamical system analysis, wherein the temporal dynamics of the system are assumed to be captured through the evolution of the latent states, which govern the values of the…

机器学习 · 统计学 2024-12-17 Jiahe Lin , George Michailidis

Automatic speech recognition (ASR) systems developed in recent years have shown promising results with self-attention models (e.g., Transformer and Conformer), which are replacing conventional recurrent neural networks. Meanwhile, a…

声音 · 计算机科学 2022-11-01 Koichi Miyazaki , Masato Murata , Tomoki Koriyama

We improve on the popular conformer architecture by replacing the depthwise temporal convolutions with diagonal state space (DSS) models. DSS is a recently introduced variant of linear RNNs obtained by discretizing a linear dynamical system…

音频与语音处理 · 电气工程与系统科学 2023-03-01 George Saon , Ankit Gupta , Xiaodong Cui

Speech enhancement seeks to extract clean speech from noisy signals. Traditional deep learning methods face two challenges: efficiently using information in long speech sequences and high computational costs. To address these, we introduce…

声音 · 计算机科学 2024-04-23 Yu Du , Xu Liu , Yansong Chua
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