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This paper addresses the problem of providing runtime assurance for systems operating online under unknown and potentially time-varying data distributions. We propose Cost-Aware Adaptive Conformal Inference (ACI), a novel framework that…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Taoran Wu , Jingduo Pan , Luke Ong , Bai Xue

We develop a rigorously controlled multi-time scale averaging technique; the averaging is done on a finite time interval, properly chosen, and then, via iterations and normal form transformations, the time intervals are scaled to arbitrary…

Mathematical Physics · Physics 2013-08-16 Shmuel Fishman , Avy Soffer

Although Transformer has made breakthrough success in widespread domains especially in Natural Language Processing (NLP), applying it to time series forecasting is still a great challenge. In time series forecasting, the autoregressive…

Machine Learning · Computer Science 2021-06-01 Kai Chen , Guang Chen , Dan Xu , Lijun Zhang , Yuyao Huang , Alois Knoll

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

Machine Learning · Computer Science 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

There are many time series in the literature with high dimension yet limited sample sizes, such as macroeconomic variables, and it is almost impossible to obtain efficient estimation and accurate prediction by using the corresponding…

Methodology · Statistics 2025-10-30 Yuchang Lin , Qianqian Zhu , Guodong Li

Explainable Artificial Intelligence (XAI) is increasingly required in computational economics, where machine-learning forecasters can outperform classical econometric models but remain difficult to audit and use for policy. This survey…

General Economics · Economics 2025-12-16 Agustín García-García , Pablo Hidalgo , Julio E. Sandubete

In this paper we develop the theory of discrete averaging designed to study discrete time dynamical systems defined by iterates of a map. The discrete averaging uses weighted averages over a segment of trajectory to find an autonomous…

Dynamical Systems · Mathematics 2026-03-12 Vassili Gelfreich , Arturo Vieiro

This article proposes a Model Reference Adaptive Control (MRAC) strategy to achieve fixed-time convergence of parameter estimation and tracking errors for unknown linear time-invariant systems, without relying on the persistence of…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Chayan Kumar Paul , Krishanu Nath , Indra Narayan Kar , Denis Efimov , Rosane Ushirobira

In this work we consider the task of constructing prediction intervals in an inductive batch setting. We present a discriminative learning framework which optimizes the expected error rate under a budget constraint on the interval sizes.…

Machine Learning · Computer Science 2018-02-28 Nir Rosenfeld , Yishay Mansour , Elad Yom-Tov

We propose an efficient inference method for switching nonlinear dynamical systems. The key idea is to learn an inference network which can be used as a proposal distribution for the continuous latent variables, while performing exact…

Machine Learning · Computer Science 2020-02-12 Zhe Dong , Bryan A. Seybold , Kevin P. Murphy , Hung H. Bui

While anomaly detection in time series has been an active area of research for several years, most recent approaches employ an inadequate evaluation criterion leading to an inflated F1 score. We show that a rudimentary Random Guess method…

Machine Learning · Computer Science 2022-03-11 Keval Doshi , Shatha Abudalou , Yasin Yilmaz

Time series autoregression (AR) is a classical tool for modeling auto-correlations and periodic structures in real-world systems. We revisit this model from an interpretable machine learning perspective by introducing sparse autoregression…

Machine Learning · Computer Science 2025-07-15 Xinyu Chen , Vassilis Digalakis , Lijun Ding , Dingyi Zhuang , Jinhua Zhao

A fundamental feature of learning in animals is the "ability to forget" that allows an organism to perceive, model and make decisions from disparate streams of information and adapt to changing environments. Against this backdrop, we…

Neural and Evolutionary Computing · Computer Science 2018-06-12 Priyadarshini Panda , Jason M. Allred , Shriram Ramanathan , Kaushik Roy

In recent years, Recurrent Spiking Neural Networks (RSNNs) have shown promising potential in long-term temporal modeling. Many studies focus on improving neuron models and also integrate recurrent structures, leveraging their synergistic…

Neural and Evolutionary Computing · Computer Science 2025-05-19 Shang Xu , Jiayu Zhang , Ziming Wang , Runhao Jiang , Rui Yan , Huajin Tang

With the rising necessity of explainable artificial intelligence (XAI), we see an increase in task-dependent XAI methods on varying abstraction levels. XAI techniques on a global level explain model behavior and on a local level explain…

Human-Computer Interaction · Computer Science 2023-07-18 Udo Schlegel , Daniela Oelke , Daniel A. Keim , Mennatallah El-Assady

In this paper, we introduce a compositional method for the construction of finite abstractions of interconnected discrete-time switched systems. Particularly, we use a notion of so-called alternating simulation function as a relation…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Abdalla Swikir , Majid Zamani

Adaptive importance sampling (AIS) uses past samples to update the \textit{sampling policy} $q_t$ at each stage $t$. Each stage $t$ is formed with two steps : (i) to explore the space with $n_t$ points according to $q_t$ and (ii) to exploit…

Statistics Theory · Mathematics 2018-10-04 Bernard Delyon , François Portier

Real-world artificial intelligence (AI) systems are increasingly required to operate autonomously in dynamic, uncertain, and continuously changing environments. However, most existing AI models rely on predefined objectives, static training…

Artificial Intelligence · Computer Science 2025-11-04 Hong Su

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

In this work, we propose an abductive framework for biosignal interpretation, based on the concept of Temporal Abstraction Patterns. A temporal abstraction pattern defines an abstraction relation between an observation hypothesis and a set…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Paulo Félix , Jesús Presedo