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Transformer-based approaches have revolutionized image super-resolution by modeling long-range dependencies. However, the quadratic computational complexity of vanilla self-attention mechanisms poses significant challenges, often leading to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Dinh Phu Tran , Thao Do , Saad Wazir , Seongah Kim , Seon Kwon Kim , Daeyoung Kim

We propose an innovative, learnable two-sided short-time Laplace transform (STLT) mechanism to supplant the traditional self attention in transformer-based LLMs. Our STLT introduces trainable parameters for each Laplace node, enabling…

Machine Learning · Computer Science 2025-06-23 Andrew Kiruluta

We characterize how memorization is represented in transformer models and show that it can be disentangled in the weights of both language models (LMs) and vision transformers (ViTs) using a decomposition based on the loss landscape…

Computation and Language · Computer Science 2025-11-03 Jack Merullo , Srihita Vatsavaya , Lucius Bushnaq , Owen Lewis

Since their introduction the Trasformer architectures emerged as the dominating architectures for both natural language processing and, more recently, computer vision applications. An intrinsic limitation of this family of "fully-attentive"…

Machine Learning · Computer Science 2023-03-16 Carmelo Scribano , Giorgia Franchini , Marco Prato , Marko Bertogna

In this work, we present a comprehensive framework for approximating the weakly singular power-law kernel $t^{\alpha-1}$ of fractional integral and differential operators, where $\alpha \in (0,1)$ and $t \in [\delta,T]$ with…

Numerical Analysis · Mathematics 2025-08-29 Renu Chaudhary , Kai Diethelm , Afshin Farhadi , Fred A. Fuchs

Transformer models are not only successful in natural language processing (NLP) but also demonstrate high potential in computer vision (CV). Despite great advance, most of works only focus on improvement of architectures but pay little…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Jiangtao Xie , Ruiren Zeng , Qilong Wang , Ziqi Zhou , Peihua Li

A new iterative image reconstruction algorithm for electrical capacitance tomography (ECT) is proposed that is based on iterative soft thresholding of a total variation penalty and adaptive reweighted compressive sensing. This algorithm…

Computer Vision and Pattern Recognition · Computer Science 2016-11-22 Kezhi Li , Daniel Holland

Video Object Segmentation (VOS) has emerged as an increasingly important problem with availability of larger datasets and more complex and realistic settings, which involve long videos with global motion (e.g, in egocentric settings),…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Raghav Goyal , Wan-Cyuan Fan , Mennatullah Siam , Leonid Sigal

Supervised Fine-Tuning (SFT) is widely used for task-specific adaptation, yet recent work shows it systematically undermines reasoning generalization. We argue the root cause is not memorization itself, but its target: vanilla SFT drives…

Machine Learning · Computer Science 2026-05-26 Ruiying Peng , Mengyu Yang , Jing Lei , Xiaohui Li , Xueyu Wu , Xinlei Chen

The integration of density functional theory (DFT) with machine learning enables efficient \textit{ab initio} electronic structure calculations for ultra-large systems. In this work, we develop a transfer learning framework tailored for…

Materials Science · Physics 2025-01-23 Ting Bao , Ning Mao , Wenhui Duan , Yong Xu , Adrian Del Maestro , Yang Zhang

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training…

Machine Learning · Statistics 2026-03-18 Nuri Mert Vural , Alberto Bietti , Mahdi Soltanolkotabi , Denny Wu

Building on the abstract Generalized Singular Value Decomposition (GSVD) theory of Brown et al. [2025], we prove that most modern neural architectures admit a generalized SVD representation in which they are left-invertible before a final…

Machine Learning · Computer Science 2026-05-11 Brian Charles Brown , Robert Bridges , David Grimsman , Mauricio Munoz , Sean Warnick

We obtain limit theorems for a class of nonlinear discrete-time processes $X(n)$ called the $k$-th order Volterra processes of order $k$. These are moving average $k$-th order polynomial forms: \[…

Probability · Mathematics 2015-05-15 Shuyang Bai , Murad S. Taqqu

As Vision Transformers (ViTs) increasingly set new benchmarks in computer vision, their practical deployment on inference engines is often hindered by their significant memory bandwidth and (on-chip) memory footprint requirements. This…

Computer Vision and Pattern Recognition · Computer Science 2024-02-12 Seyedarmin Azizi , Mahdi Nazemi , Massoud Pedram

The attention module, which is a crucial component in Transformer, cannot scale efficiently to long sequences due to its quadratic complexity. Many works focus on approximating the dot-then-exponentiate softmax function in the original…

Machine Learning · Computer Science 2021-11-04 Shengjie Luo , Shanda Li , Tianle Cai , Di He , Dinglan Peng , Shuxin Zheng , Guolin Ke , Liwei Wang , Tie-Yan Liu

Standard transformer architectures apply the same number of layers to every token regardless of contextual difficulty. We present Token-Selective Attention (TSA), a learned per-token gate on residual updates between consecutive transformer…

Machine Learning · Computer Science 2026-05-08 Ahmed Abdelmuniem Abdalla Mohammed

The Transformer architecture has become the state-of-art model for natural language processing tasks and, more recently, also for computer vision tasks, thus defining the Vision Transformer (ViT) architecture. The key feature is the ability…

Disordered Systems and Neural Networks · Physics 2023-06-13 Luciano Loris Viteritti , Riccardo Rende , Federico Becca

Two of the many trends in neural network research of the past few years have been (i) the learning of dynamical systems, especially with recurrent neural networks such as long short-term memory networks (LSTMs) and (ii) the introduction of…

Numerical Analysis · Mathematics 2024-11-15 Benedikt Brantner , Guillaume de Romemont , Michael Kraus , Zeyuan Li

Many key electronic technologies (e.g., large-scale computing, machine learning, and superconducting electronics) require new memories that are fast, reliable, energy-efficient, and of low-impedance at the same time, which has remained a…

Applied Physics · Physics 2020-01-15 Lijun Zhu , Lujun Zhu , Shengjie Shi , D. C. Ralph , R. A. Buhrman

Memory, as the basis of learning, determines the storage, update and forgetting of knowledge and further determines the efficiency of learning. Featured with the mechanism of memory, a radial basis function neural network based learning…

Systems and Control · Electrical Eng. & Systems 2023-11-27 Yiming Fei , Jiangang Li , Yanan Li