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We investigate the dependence of the score on noise in the data, and on the network size. As a result, we obtain the so-called "cognition transition" from good performance to zero with increasing noise. The understanding of this transition…

Data Analysis, Statistics and Probability · Physics 2025-07-04 Thomas Seidler , Markus Abel

The widespread use of machine learning algorithms calls for automatic change detection algorithms to monitor their behavior over time. As a machine learning algorithm learns from a continuous, possibly evolving, stream of data, it is…

Machine Learning · Statistics 2021-06-29 Lang Liu , Joseph Salmon , Zaid Harchaoui

We consider the problem of detecting gradual changes in the sequence of mean functions from a not necessarily stationary functional time series. Our approach is based on the maximum deviation (calculated over a given time interval) between…

Statistics Theory · Mathematics 2025-01-13 Patrick Bastian , Holger Dette

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the properties are (approximately) constant for some time and then slowly start…

Methodology · Statistics 2015-04-03 Michael Vogt , Holger Dette

Detecting the zero-temperature thermal Order-by-Disorder transition in classical magnetic systems is notably difficult. We propose a method to probe this transition in an indirect way. The idea is to apply adequate magnetic fields to…

Statistical Mechanics · Physics 2020-07-28 Hugo Bacry , Leticia F. Cugliandolo , Marco Tarzia

Heterogeneous materials, crucial in various engineering applications, exhibit complex multiscale behavior, which challenges the effectiveness of traditional computational methods. In this work, we introduce the Micromechanics Transformer…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Sifan Wang , Tong-Rui Liu , Shyam Sankaran , Paris Perdikaris

In social science, formal and quantitative models, such as ones describing economic growth and collective action, are used to formulate mechanistic explanations, provide predictions, and uncover questions about observed phenomena. Here, we…

Symbolic Computation · Computer Science 2023-08-17 Julia Balla , Sihao Huang , Owen Dugan , Rumen Dangovski , Marin Soljacic

Recent experimental results point to the existence of coherent quantum phenomena in systems made of a large number of particles, despite the fact that for many-body systems the presence of decoherence is hardly negligible and emerging…

Quantum Physics · Physics 2017-09-21 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer

Temperature-induced phase transition in BaTiO3 has been explored using the machine learning analysis of domain morphologies visualized via variable-temperature scanning transmission electron microscopy (STEM) imaging data. This approach is…

Materials Science · Physics 2020-11-20 Mani Valleti , Reinis Ignatans , Sergei V. Kalinin , Vasiliki Tileli

Artificial intelligence (AI) promises to reshape scientific inquiry and enable breakthrough discoveries in areas such as energy storage, quantum computing, and biomedicine. Scanning transmission electron microscopy (STEM), a cornerstone of…

Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum…

Quantum Physics · Physics 2020-08-11 F. Martínez-García , D. Vodola , M. Müller

Generative models of complex systems often require post-hoc parameter adjustments to produce useful outputs. For example, energy-based models for protein design are sampled at an artificially low ''temperature'' to generate novel,…

Quantitative Methods · Quantitative Biology 2025-12-11 Peter W Fields , Vudtiwat Ngampruetikorn , David J Schwab , Stephanie E Palmer

We compare phase transition(-like) phenomena in small model systems for both microcanonical and canonical ensembles. The model systems correspond to a few classical (non-quantum) point particles confined in a one-dimensional box and…

Statistical Mechanics · Physics 2007-05-23 Jörn Dunkel , Stefan Hilbert

The objective of this work is to develop an AI foundation model for physical signals that can generalize across diverse phenomena, domains, applications, and sensing apparatuses. We propose a phenomenological approach and framework for…

Machine-learning driven models have proven to be powerful tools for the identification of phases of matter. In particular, unsupervised methods hold the promise to help discover new phases of matter without the need for any prior…

Chemical disorder, originating from the mixed occupation of crystallographic sites by multiple elements, is widespread in alloys, ceramics, and compositionally complex materials, where short- and long-range orderings can strongly influence…

Materials Science · Physics 2026-05-20 Jiayu Peng , Peichen Zhong

Detection of phase transitions is a critical task in statistical physics, traditionally pursued through analytic methods and direct numerical simulations. Recently, machine-learning techniques have emerged as promising tools in this…

Statistical Mechanics · Physics 2025-02-19 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

The breakthrough in Deep Learning neural networks has transformed the use of AI and machine learning technologies for the analysis of very large experimental datasets. These datasets are typically generated by large-scale experimental…

Machine Learning · Computer Science 2021-10-26 Jeyan Thiyagalingam , Mallikarjun Shankar , Geoffrey Fox , Tony Hey

Microscopically understanding and classifying phases of matter is at the heart of strongly-correlated quantum physics. With quantum simulations, genuine projective measurements (snapshots) of the many-body state can be taken, which include…

Quantum Gases · Physics 2023-09-20 Henning Schlömer , Annabelle Bohrdt

In a noisy environment with weak single levels, quantum illumination can outperform classical illumination in determining the presence and range of a target object even in the limit of sub-optimal measurements based on non-simultaneous,…

Quantum Physics · Physics 2023-08-08 Richard J. Murchie , Jonathan D. Pritchard , John Jeffers