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Despite their successes, deep learning models struggle with tasks requiring complex reasoning and function composition. We present a theoretical and empirical investigation into the limitations of Structured State Space Models (SSMs) and…

Machine Learning · Computer Science 2025-03-04 Nikola Zubić , Federico Soldá , Aurelio Sulser , Davide Scaramuzza

A central challenge in sequence modeling is efficiently handling tasks with extended contexts. While recent state-space models (SSMs) have made significant progress in this area, they often lack input-dependent filtering or require…

Machine Learning · Computer Science 2024-10-07 Taylan Soydan , Nikola Zubić , Nico Messikommer , Siddhartha Mishra , Davide Scaramuzza

Large Vision-Language Models (LVLMs) have demonstrated remarkable performance across a wide range of multimodal tasks. However, fine-tuning these models for domain-specific applications remains a computationally intensive challenge. This…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Chee Ng , Yuen Fung

State space models (SSMs) have gained attention by showing potential to outperform Transformers. However, previous studies have not sufficiently addressed the mechanisms underlying their high performance owing to a lack of theoretical…

Machine Learning · Computer Science 2025-10-02 JingChuan Guan , Tomoyuki Kubota , Yasuo Kuniyoshi , Kohei Nakajima

Recurrent neural networks (RNNs), temporal convolutions, and neural differential equations (NDEs) are popular families of deep learning models for time-series data, each with unique strengths and tradeoffs in modeling power and…

Machine Learning · Computer Science 2021-10-28 Albert Gu , Isys Johnson , Karan Goel , Khaled Saab , Tri Dao , Atri Rudra , Christopher Ré

The deep network model, with the majority built on neural networks, has been proved to be a powerful framework to represent complex data for high performance machine learning. In recent years, more and more studies turn to nonneural network…

Machine Learning · Computer Science 2019-02-18 Jingyuan Wang , Kai Feng , Junjie Wu

The extension of deep learning towards temporal data processing is gaining an increasing research interest. In this paper we investigate the properties of state dynamics developed in successive levels of deep recurrent neural networks…

Machine Learning · Computer Science 2018-02-05 Claudio Gallicchio

Image deblurring aims to restore a high-quality image from its corresponding blurred. The emergence of CNNs and Transformers has enabled significant progress. However, these methods often face the dilemma between eliminating long-range…

Computer Vision and Pattern Recognition · Computer Science 2024-04-08 Hu Gao , Depeng Dang

Most deep image smoothing operators are always trained repetitively when different explicit structure-texture pairs are employed as label images for each algorithm configured with different parameters. This kind of training strategy often…

Computer Vision and Pattern Recognition · Computer Science 2020-01-14 Lijun Zhao , Jinjing Zhang , Fan Zhang , Anhong Wang , Huihui Bai , Yao Zhao

This paper introduces a concept of layer aggregation to describe how information from previous layers can be reused to better extract features at the current layer. While DenseNet is a typical example of the layer aggregation mechanism, its…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Jingyu Zhao , Yanwen Fang , Guodong Li

The goal of this paper is to provide a system identification-friendly introduction to the Structured State-space Models (SSMs). These models have become recently popular in the machine learning community since, owing to their…

Systems and Control · Electrical Eng. & Systems 2024-05-21 Fabio Bonassi , Carl Andersson , Per Mattsson , Thomas B. Schön

Known as low energy consumption networks, spiking neural networks (SNNs) have gained a lot of attention within the past decades. While SNNs are increasing competitive with artificial neural networks (ANNs) for vision tasks, they are rarely…

Computation and Language · Computer Science 2024-12-25 Shuaijie Shen , Chao Wang , Renzhuo Huang , Yan Zhong , Qinghai Guo , Zhichao Lu , Jianguo Zhang , Luziwei Leng

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,…

Machine Learning · Computer Science 2022-08-08 Albert Gu , Karan Goel , Christopher Ré

In the context of classification problems, Deep Learning (DL) approaches represent state of art. Many DL approaches are based on variations of standard multi-layer feed-forward neural networks. These are also referred to as deep networks.…

Machine Learning · Computer Science 2023-11-21 Andrea Apicella , Francesco Isgrò , Roberto Prevete

Processing long temporal sequences is a key challenge in deep learning. In recent years, Transformers have become state-of-the-art for this task, but suffer from excessive memory requirements due to the need to explicitly store the…

Machine Learning · Computer Science 2025-07-09 Sebastian Siegel , Ming-Jay Yang , John-Paul Strachan

Structured State Space Models (SSMs) have emerged as a transformative paradigm in sequence modeling, addressing critical limitations of Recurrent Neural Networks (RNNs) and Transformers, namely, vanishing gradients, sequential computation…

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…

Machine Learning · Computer Science 2024-03-27 Jiqun Chu , Zuoquan Lin

Removing rain degradations in images is recognized as a significant issue. In this field, deep learning-based approaches, such as Convolutional Neural Networks (CNNs) and Transformers, have succeeded. Recently, State Space Models (SSMs)…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Shugo Yamashita , Masaaki Ikehara

This paper deals with neural networks as dynamical systems governed by differential or difference equations. It shows that the introduction of skip connections into network architectures, such as residual networks and dense networks, turns…

Neural and Evolutionary Computing · Computer Science 2019-02-25 Michael Hauser , Sean Gunn , Samer Saab , Asok Ray

Recently, recurrent models based on linear state space models (SSMs) have shown promising performance in language modeling (LM), competititve with transformers. However, there is little understanding of the in-principle abilities of such…

Computation and Language · Computer Science 2025-12-15 Yash Sarrof , Yana Veitsman , Michael Hahn