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Every diagonalmatrix D yields an endomorphism on the n-dimensional complex vectorspace. If one provides this space with Hoelder norms, we can compute the operator norm of D. We define homogeneous weighted spaces as a generalization of…

泛函分析 · 数学 2011-09-13 Volker Thürey

This work introduces a tensor-based method to perform supervised classification on spatiotemporal data processed in an echo state network. Typically when performing supervised classification tasks on data processed in an echo state network,…

机器学习 · 计算机科学 2017-08-25 Ashley Prater

Theoretical efforts to prove advantages of Transformers in comparison with classical architectures such as feedforward and recurrent neural networks have mostly focused on representational power. In this work, we take an alternative…

机器学习 · 统计学 2025-03-17 Alireza Mousavi-Hosseini , Clayton Sanford , Denny Wu , Murat A. Erdogdu

In the Transformer model, "self-attention" combines information from attended embeddings into the representation of the focal embedding in the next layer. Thus, across layers of the Transformer, information originating from different tokens…

机器学习 · 计算机科学 2020-06-02 Samira Abnar , Willem Zuidema

Attention mechanisms have become a standard tool for sequence modeling tasks, in particular by stacking self-attention layers over the entire input sequence as in the Transformer architecture. In this work we introduce a novel attention…

机器学习 · 计算机科学 2021-06-09 Da Ju , Stephen Roller , Sainbayar Sukhbaatar , Jason Weston

We propose a simple and generic layer formulation that extends the properties of convolutional layers to any domain that can be described by a graph. Namely, we use the support of its adjacency matrix to design learnable weight sharing…

机器学习 · 计算机科学 2017-10-06 Jean-Charles Vialatte , Vincent Gripon , Gilles Coppin

This paper provides a comprehensive study on features and performance of different ways to incorporate neural networks into lifting-based wavelet-like transforms, within the context of fully scalable and accessible image compression.…

图像与视频处理 · 电气工程与系统科学 2024-10-28 Xinyue Li , Aous Naman , David Taubman

The Transformer architecture has inarguably revolutionized deep learning, overtaking classical architectures like multi-layer perceptrons (MLPs) and convolutional neural networks (CNNs). At its core, the attention block differs in form and…

机器学习 · 计算机科学 2025-03-18 Weronika Ormaniec , Felix Dangel , Sidak Pal Singh

Powerful generative artificial intelligence from large language models (LLMs) harnesses extensive computational resources for inference. In this work, we investigate the transformer architecture, a key component of these models, under the…

The transformer architecture has prevailed in various deep learning settings due to its exceptional capabilities to select and compose structural information. Motivated by these capabilities, Sanford et al. proposed the sparse token…

机器学习 · 统计学 2024-06-12 Zixuan Wang , Stanley Wei , Daniel Hsu , Jason D. Lee

Deep neural networks are usually trained in the space of the nodes, by adjusting the weights of existing links via suitable optimization protocols. We here propose a radically new approach which anchors the learning process to reciprocal…

机器学习 · 计算机科学 2021-04-14 Lorenzo Giambagli , Lorenzo Buffoni , Timoteo Carletti , Walter Nocentini , Duccio Fanelli

Recent advances in interpretability suggest we can project weights and hidden states of transformer-based language models (LMs) to their vocabulary, a transformation that makes them more human interpretable. In this paper, we investigate LM…

计算与语言 · 计算机科学 2023-11-27 Shahar Katz , Yonatan Belinkov

We propose a simple architecture to address unpaired image-to-image translation tasks: style or class transfer, denoising, deblurring, deblocking, etc. We start from an image autoencoder architecture with fixed weights. For each task we…

计算机视觉与模式识别 · 计算机科学 2020-08-14 Hugo Touvron , Matthijs Douze , Matthieu Cord , Hervé Jégou

Transformers flexibly operate over sets of real-valued vectors representing task-specific entities and their attributes, where each vector might encode one word-piece token and its position in a sequence, or some piece of information that…

机器学习 · 计算机科学 2023-03-14 Cameron Diao , Ricky Loynd

We propose a new approach for the authorship attribution task that leverages the various linguistic representations learned at different layers of pre-trained transformer-based models. We evaluate our approach on three datasets, comparing…

计算与语言 · 计算机科学 2025-10-14 Milad Alshomary , Nikhil Reddy Varimalla , Vishal Anand , Smaranda Muresan , Kathleen McKeown

Transformers have revolutionized natural language processing, but their use for numerical computation has received less attention. We study the approximation of matrix functions, which map scalar functions to matrices, using neural networks…

机器学习 · 计算机科学 2026-02-10 Rahul Padmanabhan , Simone Brugiapaglia

Autoregressive attention-based time series forecasting (TSF) has drawn increasing interest, with mechanisms like linear attention sometimes outperforming vanilla attention. However, deeper Transformer architectures frequently misalign with…

机器学习 · 计算机科学 2026-02-06 Jiecheng Lu , Shihao Yang

Transformers have become a central architecture for graph learning, but their application to graphs requires first choosing a tokenization: a graph-to-token map that determines which structural information is exposed at the input. In this…

机器学习 · 计算机科学 2026-05-22 Maya Bechler-Speicher , Gilad Yehudai , Gil Harari , Clayton Sanford , Amir Globerson , Joan Bruna

Convolutional networks are large linear systems divided into layers and connected by non-linear units. These units are the "articulations" that allow the network to adapt to the input. To understand how a network manages to solve a problem…

计算机视觉与模式识别 · 计算机科学 2019-11-15 Pablo Navarrete Michelini , Hanwen Liu , Yunhua Lu , Xingqun Jiang

A natural language parser which has been successfully implemented is described. This is a hybrid system, in which neural networks operate within a rule based framework. It can be accessed via telnet for users to try on their own text. (For…

cmp-lg · 计算机科学 2008-02-03 Caroline Lyon , Ray Frank