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Recently, large language models (LLMs) have demonstrated powerful capabilities in performing various tasks and thus are applied by recent studies to time series forecasting (TSF) tasks, which predict future values with the given historical…

Computation and Language · Computer Science 2025-07-15 Chen Su , Yuanhe Tian , Qinyu Liu , Jun Zhang , Yan Song

Transformers are deep neural network architectures that underpin the recent successes of large language models. Unlike more classical architectures that can be viewed as point-to-point maps, a Transformer acts as a measure-to-measure map…

Optimization and Control · Mathematics 2026-02-16 Borjan Geshkovski , Philippe Rigollet , Domènec Ruiz-Balet

Machine learning plays a critical role in extracting meaningful information out of the zetabytes of sensor data collected every day. For some applications, the goal is to analyze and understand the data to identify trends (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2017-10-18 Vivienne Sze , Yu-Hsin Chen , Joel Emer , Amr Suleiman , Zhengdong Zhang

When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural…

Statistics Theory · Mathematics 2018-06-28 Nadezhda Gribkova , Ričardas Zitikis

Optoacoustic imaging technologies require fast and accurate signal pre-processing algorithms to enable widespread deployment in clinical and home-care settings. However, they still rely on the Discrete Fourier Transform (DFT) as the default…

Transformers have been at the heart of the Natural Language Processing (NLP) and Computer Vision (CV) revolutions. The significant success in NLP and CV inspired exploring the use of Transformers in point cloud processing. However, how do…

Computer Vision and Pattern Recognition · Computer Science 2022-09-22 Dening Lu , Qian Xie , Mingqiang Wei , Kyle Gao , Linlin Xu , Jonathan Li

An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

Machine Learning · Computer Science 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

Transformers play a central role in the inner workings of large language models. We develop a mathematical framework for analyzing Transformers based on their interpretation as interacting particle systems, which reveals that clusters…

Machine Learning · Computer Science 2025-08-22 Borjan Geshkovski , Cyril Letrouit , Yury Polyanskiy , Philippe Rigollet

The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module transforms, is defined. Such operators - that turn out to…

Logic · Mathematics 2015-09-01 Ciro Russo

In social settings, individuals interact through webs of relationships. Each individual is a node in a complex network (or graph) of interdependencies and generates data, lots of data. We label the data by its source, or formally stated, we…

Social and Information Networks · Computer Science 2013-03-25 Aliaksei Sandryhaila , Jose M. F. Moura

The general translator formalism and computing specific implementations are proposed. The implementation of specific elements necessary to process the source and destination information within the translators are presented. Some common…

Computation and Language · Computer Science 2022-12-23 Iosif Iulian Petrila

Enabling ultra fast systems has been widely investigated during recent decades. Although polarization has been deployed from the beginning in satellite communications, nowadays it is being exploited to increase the throughput of satellite…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Pol Henarejos , Ana Pérez-Neira , Nicolò Mazzali , Carlos Mosquera

This paper presents a novel approach to sustain transient chaos in the Lorenz system through the estimation of safety functions using a transformer-based model. Unlike classical methods that rely on iterative computations, the proposed…

Chaotic Dynamics · Physics 2025-04-01 David Valle , Rubén Capeans , Alexandre Wagemakers , Miguel A. F. Sanjuán

With the rise of deep learning, there has been renewed interest within the process industries to utilize data on large-scale nonlinear sensing and control problems. We identify key statistical and machine learning techniques that have seen…

Transformer becomes the state-of-the-art translation model, while it is not well studied how each intermediate component contributes to the model performance, which poses significant challenges for designing optimal architectures. In this…

Computation and Language · Computer Science 2020-11-10 Wenxuan Wang , Zhaopeng Tu

In pursuance of integrating Wireless Sensor Networks (WSNs) with other systems, the use of techniques from other fields, such as machine learning and information processing, are becoming more common. Therefore, we faced the problem of…

Networking and Internet Architecture · Computer Science 2014-09-04 Gabriel Martins Dias , Boris Bellalta , Simon Oechsner

Nobody knows how language works, but many theories abound. Transformers are a class of neural networks that process language automatically with more success than alternatives, both those based on neural computations and those that rely on…

Computation and Language · Computer Science 2024-08-08 Felix Hill

Transformers have made significant strides across various artificial intelligence domains, including natural language processing, computer vision, and audio processing. This success has naturally garnered considerable interest from both…

Image and Video Processing · Electrical Eng. & Systems 2024-08-12 Elyas Rashno , Amir Eskandari , Aman Anand , Farhana Zulkernine

Large language models (LLMs) and transformer-based architectures are increasingly utilized for source code analysis. As software systems grow in complexity, integrating LLMs into code analysis workflows becomes essential for enhancing…

Software Engineering · Computer Science 2025-03-25 Hamed Jelodar , Mohammad Meymani , Roozbeh Razavi-Far

Software testing is becoming a critical part of the development cycle of embedded devices, enabling vulnerability detection. A well-studied approach of software testing is fuzz-testing (fuzzing), during which mutated input is sent to an…

Cryptography and Security · Computer Science 2019-08-15 Philip Sperl , Konstantin Böttinger