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In the complex landscape of multivariate time series forecasting, achieving both accuracy and interpretability remains a significant challenge. This paper introduces the Fuzzy Transformer (Fuzzformer), a novel recurrent neural network…

Artificial Intelligence · Computer Science 2025-10-02 Miha Ožbot , Igor Škrjanc , Vitomir Štruc

At present, state-of-the-art forecasting models are short of the ability to capture spatio-temporal dependency and synthesize global information at the stage of learning. To address this issue, in this paper, through the adaptive fuzzified…

Artificial Intelligence · Computer Science 2025-07-29 Lijian Li

Diffusion models have been used for probabilistic time series forecasting and show strong potential. However, fixed noise schedules often produce intermediate states that are hard to invert and a terminal state that deviates from the near…

Machine Learning · Computer Science 2026-03-03 Jintao Zhang , Zirui Liu , Mingyue Cheng , Xianquan Wang , Zhiding Liu , Qi Liu

The prediction of residential power usage is essential in assisting a smart grid to manage and preserve energy to ensure efficient use. An accurate energy forecasting at the customer level will reflect directly into efficiency improvements…

This paper proposes a new architecture of incremen-tal fuzzy inference system (also called Evolving Fuzzy System-EFS). In the context of classifying data stream in non stationary environment, concept drifts problems must be addressed.…

Artificial Intelligence · Computer Science 2019-07-23 Clement Leroy , Eric Anquetil , Nathalie Girard

Time series encountered in practice are rarely stationary. When the data distribution changes, a forecasting model trained on past observations can lose accuracy. We study a small-footprint test-time adaptation (TTA) framework for causal…

Statistical Finance · Quantitative Finance 2026-02-03 Yurui Wu , Qingying Deng , Wonou Chung , Mairui Li

This paper deals with the problem of forecast the Logistic Chaotic Map using Fuzzy Times Series (FTS). Chaotic Systems are very sensible to changes in its parameters and in the initial conditions, turning them into hard systems to model and…

Dynamical Systems · Mathematics 2021-03-16 Lucas Vinícius Ribeiro Alves

While most time series are non-stationary, it is inevitable for models to face the distribution shift issue in time series forecasting. Existing solutions manipulate statistical measures (usually mean and std.) to adjust time series…

Machine Learning · Computer Science 2024-07-02 Wei Fan , Kun Yi , Hangting Ye , Zhiyuan Ning , Qi Zhang , Ning An

Despite the eminent successes of deep neural networks, many architectures are often hard to transfer to irregularly-sampled and asynchronous time series that commonly occur in real-world datasets, especially in healthcare applications. This…

Machine Learning · Computer Science 2020-09-16 Max Horn , Michael Moor , Christian Bock , Bastian Rieck , Karsten Borgwardt

In this paper we propose to extend the definition of fuzzy transform in order to consider an interpolation of models that are richer than the standard fuzzy transform. We focus on polynomial models, linear in particular, although the…

Data Analysis, Statistics and Probability · Physics 2017-05-08 Luigi Troiano , Pravesh Kriplani , Irene Diaz

We present a new method, Non-Stationary Forward Flux Sampling, that allows efficient simulation of rare events in both stationary and non-stationary stochastic systems. The method uses stochastic branching and pruning to achieve uniform…

Molecular Networks · Quantitative Biology 2015-06-03 Nils B. Becker , Rosalind J. Allen , Pieter Rein ten Wolde

Two nonparametric methods are presented for forecasting functional time series (FTS). The FTS we observe is a curve at a discrete-time point. We address both one-step-ahead forecasting and dynamic updating. Dynamic updating is a forward…

Methodology · Statistics 2021-05-11 Antonio Elías , Raúl Jiménez , Hanlin Shang

This paper introduces FANTF (Fuzzy Attention Network-Based Transformers), a novel approach that integrates fuzzy logic with existing transformer architectures to advance time series forecasting, classification, and anomaly detection tasks.…

Machine Learning · Computer Science 2025-04-02 Sanjay Chakraborty , Fredrik Heintz

This paper proposes a novel hybrid model, termed GARCH-FIS, for recursive rolling multi-step forecasting of financial time series. It integrates a Fuzzy Inference System (FIS) with a Generalized Autoregressive Conditional Heteroskedasticity…

Machine Learning · Computer Science 2026-03-17 Wen-Jing Li , Da-Qing Zhang

Time series forecasting is vital in diverse sectors such as energy and transportation, where non-stationary dynamics are deeply intertwined with external events in other modalities such as texts. However, incorporating natural…

Machine Learning · Computer Science 2026-05-12 Yunfeng Ge , Ming Jin , Yiji Zhao , Hongyan Li , Bo Du , Chang Xu , Shirui Pan

We present data-dependent learning bounds for the general scenario of non-stationary non-mixing stochastic processes. Our learning guarantees are expressed in terms of a data-dependent measure of sequential complexity and a discrepancy…

Machine Learning · Computer Science 2018-03-16 Vitaly Kuznetsov , Mehryar Mohri

This paper presents a practical approach for detecting non-stationarity in time series prediction. This method is called SAFE and works by monitoring the evolution of the spectral contents of time series through a distance function. This…

Machine Learning · Computer Science 2018-05-18 Arief Koesdwiady , Fakhri Karray

In this paper, a new interval type-2 fuzzy neural network able to construct non-separable fuzzy rules with adaptive shapes is introduced. To reflect the uncertainty, the shape of fuzzy sets considered to be uncertain. Therefore, a new form…

Machine Learning · Computer Science 2021-12-22 Armin Salimi-Badr

We present online prediction methods for time series that let us explicitly handle nonstationary artifacts (e.g. trend and seasonality) present in most real time series. Specifically, we show that applying appropriate transformations to…

Machine Learning · Statistics 2018-08-28 Christopher Xie , Avleen Bijral , Juan Lavista Ferres

Time series forecasting has important applications in financial analysis, weather forecasting, and traffic management. However, existing deep learning models are limited in processing non-stationary time series data because they cannot…

Machine Learning · Computer Science 2025-05-13 Yuqi Xiong , Yang Wen