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In a recent paper \cite{CHSS06}, an infinitely long memory model (the t-model) for the Euler equations was presented and analyzed. The model can be derived by keeping the zeroth order term in a Taylor expansion of the memory integrand in…

Numerical Analysis · Mathematics 2007-05-23 Panagiotis Stinis

Transformer architectures based on the attention mechanism have revolutionized natural language processing (NLP), driving major breakthroughs across virtually every NLP task. However, their substantial memory and computational requirements…

Computation and Language · Computer Science 2026-03-25 Riccardo Bravin , Massimo Pavan , Hazem Hesham Yousef Shalby , Fabrizio Pittorino , Manuel Roveri

Complexity of Neural Networks is increasing rapidly due to the massive increase in model parameters. Specifically, in Large Language Models (LLMs), the number of model parameters has grown exponentially in the past few years, for example,…

Signal Processing · Electrical Eng. & Systems 2025-06-03 Mahmoud Elgenedy

Decoder-only language models are stateless: hidden representations are discarded after every forward pass and nothing persists across sessions. Jeong (2026a) showed that trained memory adapters give a frozen encoder-decoder backbone…

Machine Learning · Computer Science 2026-03-25 Hong Jeong

Rotation equivariance is a desirable property in many practical applications such as motion forecasting and 3D perception, where it can offer benefits like sample efficiency, better generalization, and robustness to input perturbations.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Serge Assaad , Carlton Downey , Rami Al-Rfou , Nigamaa Nayakanti , Ben Sapp

While Transformers have achieved remarkable success in LLMs through superior scalability, their application in industrial-scale ranking models remains nascent, hindered by the challenges of high feature sparsity and low label density. In…

Information Retrieval · Computer Science 2026-03-05 Chunqi Wang , Bingchao Wu , Taotian Pang , Jiahao Wang , Jie Yang , Jia Liu , Hao Zhang , Hai Zhu , Lei Shen , Shizhun Wang , Bing Wang , Xiaoyi Zeng

Despite the impressive representation capacity of vision transformer models, current light-weight vision transformer models still suffer from inconsistent and incorrect dense predictions at local regions. We suspect that the power of their…

Computer Vision and Pattern Recognition · Computer Science 2021-12-22 Chenglin Yang , Yilin Wang , Jianming Zhang , He Zhang , Zijun Wei , Zhe Lin , Alan Yuille

Transformers lack an explicit architectural mechanism for storing and organizing knowledge acquired during training. We introduce learnable sparse memory banks: a set of latent tokens, randomly initialized and trained end-to-end, that…

Machine Learning · Computer Science 2026-03-24 Tasmay Pankaj Tibrewal , Pritish Saha , Ankit Meda , Kunal Singh , Pradeep Moturi

The theoretical formulation and numerical evaluation of the vertex corrections in multiorbital techniques of theories of electronic properties of random alloys are analyzed. It is shown that current approaches to static transport properties…

Disordered Systems and Neural Networks · Physics 2016-06-10 Ilja Turek

Transformers evaluated in a single, fixed-depth pass are provably limited in expressive power to the constant-depth circuit class TC0. Running a Transformer autoregressively removes that ceiling -- first in next-token prediction and, more…

Machine Learning · Computer Science 2025-07-21 Mrinal Mathur , Mike Doan , Barak Pearlmutter , Sergey Plis

Classical neural network approximation results take the form: for every function $f$ and every error tolerance $\epsilon > 0$, one constructs a neural network whose architecture and weights depend on $\epsilon$. This paper introduces a…

Neural and Evolutionary Computing · Computer Science 2025-11-20 Clemens Hutter , Valentin Abadie , Helmut Bölcskei

Achieving superior enhancement performance while maintaining a low parameter count and computational complexity remains a challenge in the field of speech enhancement. In this paper, we introduce LORT, a novel architecture that integrates…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-30 Junyu Wang , Zizhen Lin , Tianrui Wang , Meng Ge , Longbiao Wang , Jianwu Dang

Pretrained on large-scale and diverse datasets, VLA models demonstrate strong generalization and adaptability as general-purpose robotic policies. However, Supervised Fine-Tuning (SFT), which serves as the primary mechanism for adapting…

Robotics · Computer Science 2026-05-19 Yuan Liu , Haoran Li , Shuai Tian , Yuxing Qin , Yuhui Chen , Yupeng Zheng , Yongzhen Huang , Dongbin Zhao

The Rotary Position Embedding (RoPE) mechanism has become a powerful enhancement to the Transformer architecture, which enables models to capture token relationships when encoding positional information. However, the RoPE mechanisms make…

Machine Learning · Computer Science 2026-01-27 Yang Cao , Jiayan Huo , Yingyu Liang , Zhenmei Shi , Zhao Song

Variational Autoencoders (VAEs) are a powerful framework for learning latent representations of reduced dimensionality, while Neural ODEs excel in learning transient system dynamics. This work combines the strengths of both to generate fast…

Machine Learning · Computer Science 2025-02-27 Julius Aka , Johannes Brunnemann , Jörg Eiden , Arne Speerforck , Lars Mikelsons

Factors that limit the size of the input and output of a neural network include memory requirements for the network states/activations to compute gradients, as well as memory for the convolutional kernels or other weights. The memory…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Bas Peters , Eldad Haber , Keegan Lensink

While Large Language Models and their underlying Transformer architecture are remarkably efficient, they do not reflect how our brain processes and learns a diversity of cognitive tasks such as language, nor how it leverages working memory.…

Machine Learning · Computer Science 2026-02-09 Yannis Bendi-Ouis , Xavier Hinaut

Learning representations for solutions of constrained optimization problems (COPs) with unknown cost functions is challenging, as models like (Variational) Autoencoders struggle to enforce constraints when decoding structured outputs. We…

Machine Learning · Computer Science 2025-09-22 Alan A. Lahoud , Erik Schaffernicht , Johannes A. Stork

Texture recognition has recently been dominated by ImageNet-pre-trained deep Convolutional Neural Networks (CNNs), with specialized modifications and feature engineering required to achieve state-of-the-art (SOTA) performance. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Leonardo Scabini , Kallil M. Zielinski , Emir Konuk , Ricardo T. Fares , Lucas C. Ribas , Kevin Smith , Odemir M. Bruno

Inspired by fast algorithms in natural language processing, we study low rank approximation in the entrywise transformed setting where we want to find a good rank $k$ approximation to $f(U \cdot V)$, where $U, V^\top \in \mathbb{R}^{n…

Data Structures and Algorithms · Computer Science 2023-11-06 Tamas Sarlos , Xingyou Song , David Woodruff , Qiuyi , Zhang