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Processing sets or other unordered, potentially variable-sized inputs in neural networks is usually handled by aggregating a number of input tensors into a single representation. While a number of aggregation methods already exist from…

机器学习 · 计算机科学 2022-07-05 Sergey Bartunov , Fabian B. Fuchs , Timothy Lillicrap

A persistent paradox in time-series forecasting is that structurally simple MLP and linear models often outperform high-capacity Transformers. We argue that this gap arises from a mismatch in the sequence-modeling primitive: while many…

机器学习 · 计算机科学 2026-05-13 Jevon Twitty , Vinh Pham , Nitiwith Rotchanarak , Viresh Pati , Yubin Kim , Shihao Yang , Jiecheng Lu

Ensembles of artificial neural networks show improved generalization capabilities that outperform those of single networks. However, for aggregation to be effective, the individual networks must be as accurate and diverse as possible. An…

人工智能 · 计算机科学 2007-05-23 P. M. Granitto , P. F. Verdes , H. A. Ceccatto

A common but rarely examined assumption in machine learning is that training yields models that actually satisfy their specified objective function. We call this the Objective Satisfaction Assumption (OSA). Although deviations from OSA are…

人工智能 · 计算机科学 2026-02-11 Antoine Maier , Aude Maier , Tom David

With increasingly volatile market conditions and rapid product innovations, operational decision-making for large-scale systems entails solving thousands of problems with limited data. Data aggregation is proposed to combine the data across…

机器学习 · 计算机科学 2023-12-19 Chengzhang Li , Zhenkang Peng , Ying Rong

Large time series models (LTMs) have emerged as powerful tools for universal forecasting, yet they often struggle with the inherent diversity and nonstationarity of real-world time series data, leading to an unsatisfactory trade-off between…

机器学习 · 计算机科学 2026-03-03 Yunzhong Qiu , Zhiyao Cen , Zhongyi Pei , Chen Wang , Jianmin Wang

We study a statistical method to estimate the optimal value, and the optimality gap of a given solution for stochastic optimization as an assessment of the solution quality. Our approach is based on bootstrap aggregating, or bagging,…

最优化与控制 · 数学 2022-12-06 Henry Lam , Huajie Qian

Symbolic representations are a useful tool for the dimension reduction of temporal data, allowing for the efficient storage of and information retrieval from time series. They can also enhance the training of machine learning algorithms on…

机器学习 · 计算机科学 2022-01-19 Xinye Chen , Stefan Güttel

The stochastic simulation algorithm (SSA) is widely used to perform exact forward simulation of discrete stochastic processes in biology. However, the computational cost, driven by sequential event-by-event sampling across large ensembles,…

定量方法 · 定量生物学 2026-05-04 Tom Kimpson , Mark B. Flegg , Jennifer A. Flegg

This article revisits an analysis on inaccuracies of time series averaging under dynamic time warping conducted by \cite{Niennattrakul2007}. The authors presented a correctness-criterion and introduced drift-outs of averages from clusters.…

机器学习 · 统计学 2018-09-11 Brijnesh Jain

We present an approach to clustering time series data using a model-based generalization of the K-Means algorithm which we call K-Models. We prove the convergence of this general algorithm and relate it to the hard-EM algorithm for mixture…

统计方法学 · 统计学 2022-07-04 Derek O. Hoare , David S. Matteson , Martin T. Wells

In this paper we study a family of variance reduction methods with randomized batch size---at each step, the algorithm first randomly chooses the batch size and then selects a batch of samples to conduct a variance-reduced stochastic…

机器学习 · 计算机科学 2018-08-08 Xuanqing Liu , Cho-Jui Hsieh

It is generally believed that ensemble approaches, which combine multiple algorithms or models, can outperform any single algorithm at machine learning tasks, such as prediction. In this paper, we propose Bayesian convex and linear…

统计理论 · 数学 2014-03-07 Yun Yang , David B. Dunson

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

机器学习 · 统计学 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

Time series analysis is widely used in many fields such as power energy, economics, and transportation, including different tasks such as forecasting, anomaly detection, classification, etc. Missing values are widely observed in these…

机器学习 · 计算机科学 2024-10-11 Zhixian Wang , Linxiao Yang , Liang Sun , Qingsong Wen , Yi Wang

Accurate time series forecasting is critical for a wide range of problems with temporal data. Ensemble modeling is a well-established technique for leveraging multiple predictive models to increase accuracy and robustness, as the…

机器学习 · 计算机科学 2023-04-11 Dimitris Bertsimas , Leonard Boussioux

Transformer-based models for time series forecasting (TSF) have attracted significant attention in recent years due to their effectiveness and versatility. However, these models often require extensive hyperparameter optimization (HPO) to…

机器学习 · 计算机科学 2025-01-03 Jingjing Xu , Caesar Wu , Yuan-Fang Li , Grégoire Danoy , Pascal Bouvry

We are concerned with the computation of the mean-time-to-absorption (MTTA) for a large system of loosely interconnected components, modeled as continuous time Markov chains. In particular, we show that splitting the local and…

数值分析 · 数学 2019-07-05 Leonardo Robol , Giulio Masetti

Performance analysis based on modelling consists of two major steps: model construction and model analysis. Formal modelling techniques significantly aid model construction but can exacerbate model analysis. In particular, here we consider…

性能 · 计算机科学 2013-09-09 Alireza Pourranjbar , Jane Hillston

We propose a novel approach to the problem of clustering hierarchically aggregated time-series data, which has remained an understudied problem though it has several commercial applications. We first group time series at each aggregated…

机器学习 · 计算机科学 2022-05-30 Xing Han , Tongzheng Ren , Jing Hu , Joydeep Ghosh , Nhat Ho