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Training causal transformers at extreme sequence lengths is bottlenecked by the quadratic time and memory of scaled dot-product attention (SDPA). In this work, we propose Lighthouse Attention, a training-only symmetrical selection-based…

Computation and Language · Computer Science 2026-05-08 Bowen Peng , Subho Ghosh , Jeffrey Quesnelle

The determination of block-entropies is a well established method for the investigation of discrete data, also called symbols (7). There is a large variety of such symbolic sequences, ranging from texts written in natural languages,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Miguel Angel Jimenez-Montano , Werner Ebeling , Thorsten Poeschel

This work investigates the sequential hypothesis testing problem with online sensor selection and sensor usage constraints. That is, in a sensor network, the fusion center sequentially acquires samples by selecting one "most informative"…

Applications · Statistics 2016-01-26 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

Hawkes process is a class of simple point processes that is self-exciting and has clustering effect. The intensity of this point process depends on its entire past history. It has wide applications in finance, insurance, neuroscience,…

Probability · Mathematics 2018-03-28 Xuefeng Gao , Lingjiong Zhu

We introduce and show the existence of a Hawkes self-exciting point process with exponentially-decreasing kernel and where parameters are time-varying. The quantity of interest is defined as the integrated parameter…

Statistical Finance · Quantitative Finance 2017-06-28 Simon Clinet , Yoann Potiron

Continuous-time event sequences, i.e., sequences consisting of continuous time stamps and associated event types ("marks"), are an important type of sequential data with many applications, e.g., in clinical medicine or user behavior…

Machine Learning · Statistics 2022-11-17 Alex Boyd , Yuxin Chang , Stephan Mandt , Padhraic Smyth

The challenges posed by high-dimensional data and use of the simplex constraint are two major concerns in the empirical application of the synthetic control method (SCM) in econometric studies. To address both issues simultaneously, we…

Methodology · Statistics 2025-12-02 Yihong Xu , Quan Zhou

A Hawkes process model with a time-varying background rate is developed for analyzing the high-frequency financial data. In our model, the logarithm of the background rate is modeled by a linear model with a relatively large number of…

Statistical Finance · Quantitative Finance 2017-07-24 Takahiro Omi , Yoshito Hirata , Kazuyuki Aihara

Forecasting the degradation of coated materials has long been a topic of critical interest in engineering, as it has enormous implications for both system maintenance and sustainable material use. Material degradation is affected by many…

Applications · Statistics 2025-04-15 Matthew Repasky , Henry Yuchi , Fritz Friedersdorf , Yao Xie

Hawkes processes are a particularly interesting class of stochastic process that have been applied in diverse areas, from earthquake modelling to financial analysis. They are point processes whose defining characteristic is that they…

Probability · Mathematics 2015-07-13 Patrick J. Laub , Thomas Taimre , Philip K. Pollett

Machine learning heavily relies on data, but real-world applications often encounter various data-related issues. These include data of poor quality, insufficient data points leading to under-fitting of machine learning models, and…

Machine Learning · Computer Science 2025-04-07 Yingzhou Lu , Lulu Chen , Yuanyuan Zhang , Minjie Shen , Huazheng Wang , Xiao Wang , Capucine van Rechem , Tianfan Fu , Wenqi Wei

Asynchronous events sequences are widely distributed in the natural world and human activities, such as earthquakes records, users activities in social media and so on. How to distill the information from these seemingly disorganized data…

Machine Learning · Computer Science 2021-12-30 Lu-ning Zhang , Jian-wei Liu , Zhi-yan Song , Xin Zuo

Feature selection is an important and active field of research in machine learning and data science. Our goal in this paper is to propose a collection of synthetic datasets that can be used as a common reference point for feature selection…

Machine Learning · Computer Science 2022-11-08 Firuz Kamalov , Hana Sulieman , Aswani Kumar Cherukuri

Multivariate point processes are widely applied to model event-type data such as natural disasters, online message exchanges, financial transactions or neuronal spike trains. One very popular point process model in which the probability of…

Statistics Theory · Mathematics 2023-01-27 Deborah Sulem , Vincent Rivoirard , Judith Rousseau

Many of the recent advances in speech separation are primarily aimed at synthetic mixtures of short audio utterances with high degrees of overlap. Most of these approaches need an additional stitching step to stitch the separated speech…

Audio and Speech Processing · Electrical Eng. & Systems 2022-09-07 Rohit Paturi , Sundararajan Srinivasan , Katrin Kirchhoff , Daniel Garcia-Romero

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

The human brain utilizes spikes for information transmission and dynamically reorganizes its network structure to boost energy efficiency and cognitive capabilities throughout its lifespan. Drawing inspiration from this spike-based…

Human-Computer Interaction · Computer Science 2025-02-20 Jiangrong Shen , Qi Xu , Gang Pan , Badong Chen

We investigate the convergence rates and data sample sizes required for training a machine learning model using a stochastic gradient descent (SGD) algorithm, where data points are sampled based on either their loss value or uncertainty…

Machine Learning · Computer Science 2024-11-26 Daniel Haimovich , Dima Karamshuk , Fridolin Linder , Niek Tax , Milan Vojnovic

Interval-censored data solely records the aggregated counts of events during specific time intervals - such as the number of patients admitted to the hospital or the volume of vehicles passing traffic loop detectors - and not the exact…

Machine Learning · Computer Science 2022-11-29 Marian-Andrei Rizoiu , Alexander Soen , Shidi Li , Pio Calderon , Leanne Dong , Aditya Krishna Menon , Lexing Xie

Traditionally, in supervised machine learning, (a significant) part of the available data (usually 50% to 80%) is used for training and the rest for validation. In many problems, however, the data is highly imbalanced in regard to different…

Machine Learning · Computer Science 2020-04-21 Xiaowei Gu , Plamen P Angelov , Eduardo Almeida Soares
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