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We review possible measures of complexity which might in particular be applicable to situations where the complexity seems to arise spontaneously. We point out that not all of them correspond to the intuitive (or "naive") notion, and that…

数据分析、统计与概率 · 物理学 2012-08-20 Peter Grassberger

A free material surface which supports surface diffusion becomes unstable when put under external non-hydrostatic stress. Since the chemical potential on a stressed surface is larger inside an indentation, small shape fluctuations develop…

无序系统与神经网络 · 物理学 2009-11-13 Ting-Shek Lo , Anna Pomyalov , Itamar Procaccia , Jacques Zylberg

Magnetic particle imaging is a tracer based imaging technique to determine the spatial distribution of superparamagnetic iron oxide nanoparticles with a high spatial and temporal resolution. Due to physiological constraints, the imaging…

医学物理 · 物理学 2022-05-03 Nadine Gdaniec , Marija Boberg , Martin Möddel , Patryk Szwargulski , Tobias Knopp

The simultaneous estimation of multiple unknown parameters is the most general scenario in quantum sensing. Quantum multi-parameter estimation theory provides fundamental bounds on the achievable precision of simultaneous estimation.…

量子物理 · 物理学 2025-12-02 Yaoling Yang , Victor Montenegro , Abolfazl Bayat

Monitoring network traffic data to detect any hidden patterns of anomalies is a challenging and time-consuming task that requires high computing resources. To this end, an appropriate summarization technique is of great importance, where it…

机器学习 · 计算机科学 2021-12-21 Samira Ghodratnama , Mehrdad Zakershahrak , Fariborz Sobhanmanesh

The principles behind the sharp, singular structures in a crumpled sheet are well understood. Here we discuss more general ways of exploiting such sharp structures to control the shape of a sheet by deforming or forcing it elsewhere. Often,…

软凝聚态物质 · 物理学 2025-03-24 Thomas A. Witten , Anna Movsheva

Learning physical properties of high-dimensional states is crucial for developing quantum technologies but usually consumes an exceedingly large number of samples which are difficult to afford in practice. In this Letter, we use the…

量子物理 · 物理学 2024-07-29 Da-Jian Zhang , D. M. Tong

Cumulant mapping has been recently suggested [Frasinski, Phys. Chem. Chem. Phys. 24, 207767 (2022)] as an efficient approach to observing multi-particle fragmentation pathways, while bypassing the restrictions of the usual…

化学物理 · 物理学 2025-04-11 S. Patchkovskii , J. Mikosch

Complex systems are fascinating because their rich macroscopic properties emerge from the interaction of many simple parts. Understanding the building principles of these emergent phenomena in nature requires assessing natural complex…

神经元与认知 · 定量生物学 2022-11-17 Anna Levina , Viola Priesemann , Johannes Zierenberg

We consider the problem of estimating a structured multivariate density, subject to Markov conditions implied by an undirected graph. In the worst case, without Markovian assumptions, this problem suffers from the curse of dimensionality.…

机器学习 · 统计学 2024-10-11 Robert A. Vandermeulen , Wai Ming Tai , Bryon Aragam

We study the problem of resilient strategies in the presence of uncertainty. Resilient strategies enable an agent to make decisions that are robust against disturbances. In particular, we are interested in those disturbances that are able…

计算机科学与博弈论 · 计算机科学 2026-03-02 Kush Grover , Markel Zubia , Debraj Chakraborty , Muqsit Azeem , Nils Jansen , Jan Kretinsky

Image classifiers often use spurious patterns, such as "relying on the presence of a person to detect a tennis racket, which do not generalize. In this work, we present an end-to-end pipeline for identifying and mitigating spurious patterns…

机器学习 · 计算机科学 2022-08-19 Gregory Plumb , Marco Tulio Ribeiro , Ameet Talwalkar

We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality, including a pseudointegrable system, the Anderson model and…

混沌动力学 · 物理学 2015-10-01 R. Dubertrand , I. García-Mata , B. Georgeot , O. Giraud , G. Lemarié , J. Martin

We theoretically and numerically demonstrate that completely integrable scattering processes may exhibit fractal transmission fluctuations, due to typical spectral properties of integrable systems. Similar properties also occur with…

介观与纳米尺度物理 · 物理学 2016-08-31 Italo Guarneri , Marcello Terraneo

Recurrence plots and recurrence quantification analysis have become popular in the last two decades. Recurrence based methods have on the one hand a deep foundation in the theory of dynamical systems and are on the other hand powerful tools…

混沌动力学 · 物理学 2013-06-05 Norbert Marwan

Beneficial to advanced computing devices, models with massive parameters are increasingly employed to extract more information to enhance the precision in describing and predicting the patterns of objective systems. This phenomenon is…

信息论 · 计算机科学 2024-03-08 Liye Jia , Fengyufan Yang , Ka Lok Man , Erick Purwanto , Sheng-Uei Guan , Jeremy Smith , Yutao Yue

The successive discrete structures generated by a sequential algorithm from random input constitute a Markov chain that may exhibit long term dependence on its first few input values. Using examples from random graph theory and search…

概率论 · 数学 2023-06-22 Rudolf Grübel

Patterns of avoidance, adjacency, and association in complex systems design emerge from the system's underlying logical architecture (functional relationships among components) and physical architecture (component physical properties and…

物理与社会 · 物理学 2021-02-08 Andrei A. Klishin , David J. Singer , Greg van Anders

We develop a paradigm using microlocal analysis that allows one to characterize the visible and added singularities in a broad range of incomplete data tomography problems. We give precise characterizations for photo- and thermoacoustic…

偏微分方程分析 · 数学 2015-01-22 Jürgen Frikel , Eric Todd Quinto

Highly-directional image artifacts such as ion mill curtaining, mechanical scratches, or image striping from beam instability degrade the interpretability of micrographs. These unwanted, aperiodic features extend the image along a primary…

计算机视觉与模式识别 · 计算机科学 2019-06-26 Jonathan Schwartz , Yi Jiang , Yongjie Wang , Anthony Aiello , Pallab Bhattacharya , Hui Yuan , Zetian Mi , Nabil Bassim , Robert Hovden