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Forecast combination and model averaging have become popular tools in forecasting and prediction, both of which combine a set of candidate estimates with certain weights and are often shown to outperform single estimates. A data-driven…

统计理论 · 数学 2025-10-31 Jiahui Zou , Andrey Vasnev , Wendun Wang , Xinyu Zhang

Density aggregation is a central problem in machine learning, for instance when combining predictions from a Deep Ensemble. The choice of aggregation remains an open question with two commonly proposed approaches being linear pooling…

Let $G=\mathop{A\ast B}\limits_C$ be an amalgamated product of finite rank free groups $A$, $B$ and $C$. We introduce atomic measures and corresponding asymptotic densities on a set of normal forms of elements in $G$. We also define two…

Piecewise Aggregate Approximation (PAA) is a competitive basic dimension reduction method for high-dimensional time series mining. When deployed, however, the limitations are obvious that some important information will be missed,…

机器学习 · 计算机科学 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin , Zhen Qin , Xing Zhang , Keli Zhang , Zoe L. Jiang

This paper analyzes comparatively the performance of Random Forests and Gradient Boosting algorithms in the field of forecasting the energy consumption based on historical data. The two algorithms are applied in order to forecast the energy…

人工智能 · 计算机科学 2022-07-26 Cristina Bianca Pop , Viorica Rozina Chifu , Corina Cordea , Emil Stefan Chifu , Octav Barsan

Generalized linear mixed models (GLMM) encompass large class of statistical models, with a vast range of applications areas. GLMM extends the linear mixed models allowing for different types of response variable. Three most common data…

应用统计 · 统计学 2017-04-25 Wagner Hugo Bonat , Paulo Justiniano Ribeiro , Silvia emiko Shimakura

A general challenge in statistics is prediction in the presence of multiple candidate models or learning algorithms. Model aggregation tries to combine all predictive distributions from individual models, which is more stable and flexible…

统计方法学 · 统计学 2021-09-28 Yuling Yao

Second-order federated learning (FL) algorithms offer faster convergence than their first-order counterparts by leveraging curvature information. However, they are hindered by high computational and storage costs, particularly for…

机器学习 · 计算机科学 2025-01-15 Abdulmomen Ghalkha , Chaouki Ben Issaid , Mehdi Bennis

Linear and geometric mixtures are two methods to combine arbitrary models in data compression. Geometric mixtures generalize the empirically well-performing PAQ7 mixture. Both mixture schemes rely on weight vectors, which heavily determine…

信息论 · 计算机科学 2013-02-13 Christopher Mattern

In this paper, we explore the application of Gaussian Processes (GPs) for predicting mean-reverting time series with an underlying structure, using relatively unexplored functional and augmented data structures. While many conventional…

统计金融 · 定量金融 2024-03-05 Narayan Tondapu

The feature frame is a key idea of feature matching problem between two images. However, most of the traditional matching methods only simply employ the spatial location information (the coordinates), which ignores the shape and orientation…

计算机视觉与模式识别 · 计算机科学 2019-10-29 Liang Shen , Jiahua Zhu , Chongyi Fan , Xiaotao Huang , Tian Jin

Gaussian mixtures are commonly used for modeling heavy-tailed error distributions in robust linear regression. Combining the likelihood of a multivariate robust linear regression model with a standard improper prior distribution yields an…

统计理论 · 数学 2023-01-05 Haoxiang Li , Qian Qin , Galin L. Jones

Unified anomaly detection (AD) is one of the most challenges for anomaly detection, where one unified model is trained with normal samples from multiple classes with the objective to detect anomalies in these classes. For such a challenging…

机器学习 · 计算机科学 2024-07-08 Xincheng Yao , Ruoqi Li , Zefeng Qian , Lu Wang , Chongyang Zhang

One of the main modeling in many data science applications is the Gaussian Mixture Model (GMM), and Mean Field Variational Bayesian Inference (MFVBI) is classically used for approximate fast computation. In this paper, we provide a…

微分几何 · 数学 2026-01-07 Alireza Bahraini , Saeed Sadeghi

We consider the problem of information aggregation in federated decision making, where a group of agents collaborate to infer the underlying state of nature without sharing their private data with the central processor or each other. We…

机器学习 · 计算机科学 2023-05-09 Mert Kayaalp , Yunus Inan , Visa Koivunen , Emre Telatar , Ali H. Sayed

Generalized mutual information (GMI) is used to compute achievable rates for fading channels with various types of channel state information at the transmitter (CSIT) and receiver (CSIR). The GMI is based on variations of auxiliary channel…

信息论 · 计算机科学 2023-05-23 Gerhard Kramer

In literature, it is common to find problems which require a way to encode a finite set of information into a single data; usually means are used for that. An important generalization of means are the so called Aggregation Functions, with a…

Gaussian Mixture Models are a powerful tool in Data Science and Statistics that are mainly used for clustering and density approximation. The task of estimating the model parameters is in practice often solved by the Expectation…

机器学习 · 统计学 2022-08-25 Lena Sembach , Jan Pablo Burgard , Volker H. Schulz

In this work, we investigate an original strategy in order to derive a statistical modeling of the interface in gas-liquid two-phase flows through geometrical variables. The con- tribution is two-fold. First it participates in the…

We examine two different techniques for parameter averaging in GAN training. Moving Average (MA) computes the time-average of parameters, whereas Exponential Moving Average (EMA) computes an exponentially discounted sum. Whilst MA is known…