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The Long Range Arena (LRA) benchmark was designed to evaluate the performance of Transformer improvements and alternatives in long-range dependency modeling tasks. The Transformer and its main variants performed poorly on this benchmark,…

Computation and Language · Computer Science 2025-01-28 Pablo Miralles-González , Javier Huertas-Tato , Alejandro Martín , David Camacho

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

Transformers have theoretical limitations in modeling certain sequence-to-sequence tasks, yet it remains largely unclear if these limitations play a role in large-scale pretrained LLMs, or whether LLMs might effectively overcome these…

Machine Learning · Computer Science 2025-10-24 Mayank Jobanputra , Yana Veitsman , Yash Sarrof , Aleksandra Bakalova , Vera Demberg , Ellie Pavlick , Michael Hahn

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

Transformers do not scale very well to long sequence lengths largely because of quadratic self-attention complexity. In the recent months, a wide spectrum of efficient, fast Transformers have been proposed to tackle this problem, more often…

Machine Learning · Computer Science 2020-11-10 Yi Tay , Mostafa Dehghani , Samira Abnar , Yikang Shen , Dara Bahri , Philip Pham , Jinfeng Rao , Liu Yang , Sebastian Ruder , Donald Metzler

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…

Machine Learning · Computer Science 2023-11-27 Chris Lu , Yannick Schroecker , Albert Gu , Emilio Parisotto , Jakob Foerster , Satinder Singh , Feryal Behbahani

Despite their dominance in modern DL and, especially, NLP domains, transformer architectures exhibit sub-optimal performance on long-range tasks compared to recent layers that are specifically designed for this purpose. In this work,…

Machine Learning · Computer Science 2023-11-29 Itamar Zimerman , Lior Wolf

We consider small-data, large-scale decision problems in which a firm must make many operational decisions simultaneously (e.g., across a large product portfolio) while observing only a few, potentially noisy, data points per instance.…

Machine Learning · Computer Science 2026-02-04 Zishi Zhang , Jinhui Han , Ming Hu , Yijie Peng

Large Language Models (LLMs) are pretrained on massive datasets and later instruction-tuned via supervised fine-tuning (SFT) or reinforcement learning (RL). Best practices emphasize large, diverse pretraining data, whereas post-training…

Machine Learning · Computer Science 2026-03-03 Adel Javanmard , Baharan Mirzasoleiman , Vahab Mirrokni

Recently, sequence learning methods have been applied to the problem of off-policy Reinforcement Learning, including the seminal work on Decision Transformers, which employs transformers for this task. Since transformers are…

Machine Learning · Computer Science 2023-06-09 Shmuel Bar-David , Itamar Zimerman , Eliya Nachmani , Lior Wolf

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,…

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

A foundation model is a machine learning model trained on a large and diverse set of data, typically using self-supervised learning-based pre-training techniques, that can be adapted to various downstream tasks. However, current research on…

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…

Machine Learning · Computer Science 2022-08-08 Albert Gu , Isys Johnson , Aman Timalsina , Atri Rudra , Christopher Ré

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

Pre-training language models (LMs) on large-scale unlabeled text data makes the model much easier to achieve exceptional downstream performance than their counterparts directly trained on the downstream tasks. In this work, we study what…

Computation and Language · Computer Science 2022-02-21 Cheng-Han Chiang , Hung-yi Lee

State space models (SSMs) leverage linear, time-invariant (LTI) systems to effectively learn sequences with long-range dependencies. By analyzing the transfer functions of LTI systems, we find that SSMs exhibit an implicit bias toward…

Machine Learning · Computer Science 2024-10-04 Annan Yu , Dongwei Lyu , Soon Hoe Lim , Michael W. Mahoney , N. Benjamin Erichson

He et al. (2018) have called into question the utility of pre-training by showing that training from scratch can often yield similar performance to pre-training. We show that although pre-training may not improve performance on traditional…

Machine Learning · Computer Science 2019-10-22 Dan Hendrycks , Kimin Lee , Mantas Mazeika

Recurrent Neural Networks (RNNs) offer fast inference on long sequences but are hard to optimize and slow to train. Deep state-space models (SSMs) have recently been shown to perform remarkably well on long sequence modeling tasks, and have…

Machine Learning · Computer Science 2023-03-14 Antonio Orvieto , Samuel L Smith , Albert Gu , Anushan Fernando , Caglar Gulcehre , Razvan Pascanu , Soham De

Spiking neural networks (SNNs) take inspiration from the brain to enable energy-efficient computations. Since the advent of Transformers, SNNs have struggled to compete with artificial networks on modern sequential tasks, as they inherit…

Neural and Evolutionary Computing · Computer Science 2024-01-03 Matei Ioan Stan , Oliver Rhodes

The prevailing paradigm for enhancing the reasoning abilities of LLMs revolves around post-training on high-quality, reasoning-intensive data. While emerging literature suggests that reasoning data is increasingly incorporated also during…

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