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We propose a new algorithm for the problem of recovering data that adheres to multiple, heterogeneous low-dimensional structures from linear observations. Focusing on data matrices that are simultaneously row-sparse and low-rank, we propose…

机器学习 · 计算机科学 2024-01-19 Christian Kümmerle , Johannes Maly

Reservoir computing is a popular approach to design recurrent neural networks, due to its training simplicity and approximation performance. The recurrent part of these networks is not trained (e.g., via gradient descent), making them…

神经与进化计算 · 计算机科学 2021-02-15 Pietro Verzelli , Cesare Alippi , Lorenzo Livi , Peter Tino

In contrast to RNNs, which compress their history into a single hidden state, Transformers can attend to all past tokens directly. However, standard Transformers rely solely on the hidden state from the previous layer to represent the…

机器学习 · 计算机科学 2025-05-29 Gleb Gerasimov , Yaroslav Aksenov , Nikita Balagansky , Viacheslav Sinii , Daniil Gavrilov

Large Reasoning Models (LRMs) have shown remarkable capabilities in solving complex problems through reinforcement learning (RL), particularly by generating long reasoning traces. However, these extended outputs often exhibit substantial…

计算与语言 · 计算机科学 2025-05-22 Wei Liu , Ruochen Zhou , Yiyun Deng , Yuzhen Huang , Junteng Liu , Yuntian Deng , Yizhe Zhang , Junxian He

We study the problem of finding structured low-rank matrices using nuclear norm regularization where the structure is encoded by a linear map. In contrast to most known approaches for linearly structured rank minimization, we do not (a) use…

系统与控制 · 计算机科学 2015-09-09 Adams Wei Yu , Wanli Ma , Yaoliang Yu , Jaime G. Carbonell , Suvrit Sra

In the last decade, Convolutional Neural Network with a multi-layer architecture has advanced rapidly. However, training its complex network is very space-consuming, since a lot of intermediate data are preserved across layers, especially…

分布式、并行与集群计算 · 计算机科学 2024-01-23 Zhigang Wang , Hangyu Yang , Ning Wang , Chuanfei Xu , Jie Nie , Zhiqiang Wei , Yu Gu , Ge Yu

Empirical evidence demonstrates that every region of the neocortex represents information using sparse activity patterns. This paper examines Sparse Distributed Representations (SDRs), the primary information representation strategy in…

神经元与认知 · 定量生物学 2015-03-26 Subutai Ahmad , Jeff Hawkins

Large Reasoning Models (LRMs) significantly improve the reasoning ability of Large Language Models (LLMs) by learning to reason, exhibiting promising performance in solving complex tasks. However, their deliberative reasoning process leads…

Recurrent neural networks can be large and compute-intensive, yet many applications that benefit from RNNs run on small devices with very limited compute and storage capabilities while still having run-time constraints. As a result, there…

机器学习 · 计算机科学 2020-08-14 Urmish Thakker , Jesse Beu , Dibakar Gope , Ganesh Dasika , Matthew Mattina

Recently, the reasoning capabilities of large reasoning models (LRMs), such as DeepSeek-R1, have seen significant advancements through the slow thinking process. Despite these achievements, the substantial computational demands of LRMs…

人工智能 · 计算机科学 2025-04-15 Chengyu Wang , Taolin Zhang , Richang Hong , Jun Huang

High-energy, large-scale particle colliders in nuclear and high-energy physics generate data at extraordinary rates, reaching up to $1$ terabyte and several petabytes per second, respectively. The development of real-time, high-throughput…

人工智能 · 计算机科学 2024-12-03 Xihaier Luo , Samuel Lurvey , Yi Huang , Yihui Ren , Jin Huang , Byung-Jun Yoon

Large reasoning models (LRMs) achieve remarkable performance via long reasoning chains, but often incur excessive computational overhead due to redundant reasoning, especially on simple tasks. In this work, we systematically quantify the…

人工智能 · 计算机科学 2025-05-26 Xiaoyun Zhang , Jingqing Ruan , Xing Ma , Yawen Zhu , Haodong Zhao , Hao Li , Jiansong Chen , Ke Zeng , Xunliang Cai

This paper focuses on the identification of graphical autoregressive models with dynamical latent variables. The dynamical structure of latent variables is described by a matrix polynomial transfer function. Taking account of the sparse…

统计方法学 · 统计学 2023-07-24 Junyao You , Chengpu Yu

Many applications in data science and scientific computing involve large-scale datasets that are expensive to store and compute with, but can be efficiently compressed and stored in an appropriate tensor format. In recent years, randomized…

数值分析 · 数学 2019-05-20 Rachel Minster , Arvind K. Saibaba , Misha E. Kilmer

Recent work on domain-specific reasoning with large language models (LLMs) often relies on training-intensive approaches that require parameter updates. While activation steering has emerged as a parameter efficient alternative, existing…

人工智能 · 计算机科学 2026-01-21 Wencheng Ye , Xiaoyang Yuan , Yi Bin , Pengpeng Zeng , Hengyu Jin , Liang Peng , Heng Tao Shen

We study the emergence of multi-step reasoning in deep Transformer language models through a geometric and statistical-physics lens. Treating the hidden-state trajectory as a flow on an implicit Riemannian manifold, we analyze the layerwise…

机器学习 · 计算机科学 2026-01-29 Faruk Alpay , Bugra Kilictas

Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis,…

统计计算 · 统计学 2025-10-01 Michele Gallo

Reservoir Computing (RC) is a well-known strategy for designing Recurrent Neural Networks featured by striking efficiency of training. The crucial aspect of RC is to properly instantiate the hidden recurrent layer that serves as dynamical…

机器学习 · 计算机科学 2020-06-05 Claudio Gallicchio

The dynamical low-rank (DLR) approximation is an efficient technique to approximate the solution to matrix differential equations. Recently, the DLR method was applied to radiation transport calculations to reduce memory requirements and…

计算物理 · 物理学 2022-11-23 Zhuogang Peng , Ryan G. McClarren

We introduce SIRI, Scaling Iterative Reinforcement Learning with Interleaved Compression, a simple yet effective RL approach for Large Reasoning Models (LRMs) that enables more efficient and accurate reasoning. Existing studies have…

机器学习 · 计算机科学 2025-09-30 Haoming Wen , Yushi Bai , Juanzi Li , Jie Tang