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This paper introduces a multiscale analysis based on optimal piecewise linear approximations of time series. An optimality criterion is formulated and on its base a computationally effective algorithm is constructed for decomposition of a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 I. Zaliapin , A. Gabrielov , V. Keilis-Borok

Finite-size scaling is a key tool in statistical physics, used to infer critical behavior in finite systems. Here we use the analogous concept of finite-time scaling to describe the bifurcation diagram at finite times in discrete dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-04-12 Alvaro Corral , Lluis Alseda , Josep Sardanyes

Causal discovery for both cross-sectional and temporal data has traditionally followed a dataset-specific paradigm, where a new model is fitted for each individual dataset. Such an approach limits the potential of multi-dataset pretraining.…

Deliberating on large or continuous state spaces have been long standing challenges in reinforcement learning. Temporal Abstraction have somewhat made this possible, but efficiently planing using temporal abstraction still remains an issue.…

Artificial Intelligence · Computer Science 2017-03-21 Peeyush Kumar , Doina Precup

Existing spatio-temporal Hawkes process models typically rely on either parametric or semiparametric assumptions, limiting the model's ability to capture complex endogenous and exogenous event dynamics. We propose a fully Bayesian…

Methodology · Statistics 2026-03-31 Wenqing Liu , Xenia Miscouridou , Déborah Sulem

Spreading processes on graphs arise in a host of application domains, from the study of online social networks to viral marketing to epidemiology. Various discrete-time probabilistic models for spreading processes have been proposed. These…

Social and Information Networks · Computer Science 2021-09-24 Abram Magner , Carolyn Kaminski , Petko Bogdanov

The event graph representation of temporal networks suggests that the connectivity of temporal structures can be mapped to a directed percolation problem. However, similar to percolation theory on static networks, this mapping is valid…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

Cellular transformations which involve a significant phenotypical change of the cell's state use bistable biochemical switches as underlying decision systems. In this work, we aim at linking cellular decisions taking place on a time scale…

Cell Behavior · Quantitative Biology 2010-05-11 Steffen Waldherr , Jingbo Wu , Frank Allgöwer

Multiplicative cascades have been introduced in turbulence to generate random or deterministic fields having intermittent values and long-range power-law correlations. Generally this is done using discrete construction rules leading to…

Statistical Mechanics · Physics 2007-05-23 Francois G. Schmitt

Estimating causal effects from nonexperimental data is a fundamental problem in many fields of science. A key component of this task is selecting an appropriate set of covariates for confounding adjustment to avoid bias. Most existing…

Machine Learning · Computer Science 2025-10-28 Zheng Li , Xichen Guo , Feng Xie , Yan Zeng , Hao Zhang , Zhi Geng

A novel unsupervised learning method is proposed in this paper for biclustering large-dimensional matrix-valued time series based on an entirely new latent two-way factor structure. Each block cluster is characterized by its own row and…

Methodology · Statistics 2025-02-11 Yong He , Xiaoyang Ma , Xingheng Wang , Yalin Wang

Time-series anomaly detection is a popular topic in both academia and industrial fields. Many companies need to monitor thousands of temporal signals for their applications and services and require instant feedback and alerts for potential…

Machine Learning · Computer Science 2020-09-10 Yuanxiang Ying , Juanyong Duan , Chunlei Wang , Yujing Wang , Congrui Huang , Bixiong Xu

The brain must extract behaviorally relevant latent variables from the signals streamed by the sensory organs. Such latent variables are often encoded in the dynamics that generated the signal rather than in the specific realization of the…

Neurons and Cognition · Quantitative Biology 2021-10-07 Tiberiu Tesileanu , Siavash Golkar , Samaneh Nasiri , Anirvan M. Sengupta , Dmitri B. Chklovskii

The translation equivariance of convolutions can make convolutional neural networks translation equivariant or invariant. Equivariance to other transformations (e.g. rotations, affine transformations, scalings) may also be desirable as soon…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Causal Temporal Representation Learning (Ctrl) methods aim to identify the temporal causal dynamics of complex nonstationary temporal sequences. Despite the success of existing Ctrl methods, they require either directly observing the domain…

Machine Learning · Computer Science 2024-09-06 Xiangchen Song , Zijian Li , Guangyi Chen , Yujia Zheng , Yewen Fan , Xinshuai Dong , Kun Zhang

This paper proposes a new methodology to study sequential corpora by implementing a two-stage algorithm that learns time-based topics with respect to a scale of document positions and introduces the concept of Topic Scaling which ranks…

Information Retrieval · Computer Science 2021-04-05 Sami Diaf , Ulrich Fritsche

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

Sampling-based search, a simple paradigm for utilizing test-time compute, involves generating multiple candidate responses and selecting the best one -- typically by having models self-verify each response for correctness. In this paper, we…

Machine Learning · Computer Science 2025-02-21 Eric Zhao , Pranjal Awasthi , Sreenivas Gollapudi

Acoustic scenes are rich and redundant in their content. In this work, we present a spatio-temporal attention pooling layer coupled with a convolutional recurrent neural network to learn from patterns that are discriminative while…

Sound · Computer Science 2019-07-01 Huy Phan , Oliver Y. Chén , Lam Pham , Philipp Koch , Maarten De Vos , Ian McLoughlin , Alfred Mertins

Diffusion models generate conditional samples by progressively denoising Gaussian noise, yet the denoising trajectory can stall at visually plausible but low-quality outcomes with conditional misalignment or structural artifacts. We…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Shunqi Mao , Wei Guo , Chaoyi Zhang , Jieting Long , Ke Xie , Weidong Cai