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Memory is a complex phenomenon that involves several distinct mechanisms. These mechanisms operate at different spatial and temporal levels. This chapter focuses on the theoretical framework and the mathematical models that have been…

Neurons and Cognition · Quantitative Biology 2021-12-22 Stefano Fusi

Memory networks are neural networks with an explicit memory component that can be both read and written to by the network. The memory is often addressed in a soft way using a softmax function, making end-to-end training with backpropagation…

Machine Learning · Statistics 2016-05-25 Sarath Chandar , Sungjin Ahn , Hugo Larochelle , Pascal Vincent , Gerald Tesauro , Yoshua Bengio

The measurement of force distributions in sandpiles provides a useful way to test concepts and models of the way forces propagate within noncohesive granular materials. Recent theory by Bouchaud et al. implies that the internal structure of…

Soft Condensed Matter · Physics 2007-05-23 Junfei Geng , Emily Longhi , R. P. Behringer , D. W. Howell

Granular materials often present correlations between particle size and shape due to their geological formation and mechanisms of weathering and fragmentation. It is known that particle shape strongly affects shear strength. However, the…

Soft Condensed Matter · Physics 2022-03-14 Sergio Carrasco , David Cantor , Carlos Ovalle

We investigate multi-scale transformer language models that learn representations of text at multiple scales, and present three different architectures that have an inductive bias to handle the hierarchical nature of language. Experiments…

Computation and Language · Computer Science 2020-05-05 Sandeep Subramanian , Ronan Collobert , Marc'Aurelio Ranzato , Y-Lan Boureau

We present experiments along with molecular dynamics (MD) simulations of a two-dimensional (2D) granular material in a Couette cell undergoing slow shearing. The grains are disks confined between an inner, rotating wheel and a fixed outer…

Statistical Mechanics · Physics 2009-11-07 Marc Lätzel , Stefan Luding , Hans J. Herrmann , Daniel W. Howell , R. P. Behringer

Manufacturing wafers is an intricate task involving thousands of steps. Defect Pattern Recognition (DPR) of wafer maps is crucial for determining the root cause of production defects, which may further provide insight for yield improvement…

Machine Learning · Computer Science 2023-10-19 Nitish Shukla , Anurima Dey , Srivatsan K

To make progress in understanding the issue of memory loss and history dependence in evolving complex systems, we consider the mixing rate that specifies how fast the future states become independent of the initial condition. We propose a…

Statistical Mechanics · Physics 2024-06-19 Miroslav Kramar , Lenka Kovalcinova , Konstantin Mischaikow , Lou Kondic

High-dimensional tensor models are notoriously computationally expensive to train. We present a meta-learning algorithm, MMT, that can significantly speed up the process for spatial tensor models. MMT leverages the property that spatial…

Machine Learning · Computer Science 2018-03-01 Stephan Zheng , Rose Yu , Yisong Yue

For manifold learning, it is assumed that high-dimensional sample/data points are embedded on a low-dimensional manifold. Usually, distances among samples are computed to capture an underlying data structure. Here we propose a metric…

Machine Learning · Computer Science 2019-09-20 Fenglei Fan , Ziyu Su , Yueyang Teng , Ge Wang

We propose a generic algorithmic building block to accelerate training of machine learning models on heterogeneous compute systems. Our scheme allows to efficiently employ compute accelerators such as GPUs and FPGAs for the training of…

Machine Learning · Computer Science 2017-11-08 Celestine Dünner , Thomas Parnell , Martin Jaggi

Memory formation in matter is a theme of broad intellectual relevance; it sits at the interdisciplinary crossroads of physics, biology, chemistry, and computer science. Memory connotes the ability to encode, access, and erase signatures of…

Soft Condensed Matter · Physics 2019-08-27 Nathan C. Keim , Joseph D. Paulsen , Zorana Zeravcic , Srikanth Sastry , Sidney R. Nagel

Memory plays a pivotal role in enabling large language model~(LLM)-based agents to engage in complex and long-term interactions, such as question answering (QA) and dialogue systems. While various memory modules have been proposed for these…

Computation and Language · Computer Science 2024-12-23 Ruihong Zeng , Jinyuan Fang , Siwei Liu , Zaiqiao Meng

Machine Learning techniques can be used to represent high-dimensional potential energy surfaces for reactive chemical systems. Two such methods are based on a reproducing kernel Hilbert space representation or on deep neural networks. They…

Chemical Physics · Physics 2019-09-19 Oliver T. Unke , Markus Meuwly

We perform experimental and numerical studies of a granular system under cyclic-compression to investigate reversibility and memory effects. We focus on the quasi-static forcing of dense systems, which is most relevant to a wide range of…

Soft Condensed Matter · Physics 2021-07-07 Zackery A. Benson , Anton Peshkov , Derek C. Richardson , Wolfgang Losert

Machine learning has proven to be a valuable tool to approximate functions in high-dimensional spaces. Unfortunately, analysis of these models to extract the relevant physics is never as easy as applying machine learning to a large dataset…

Materials Science · Physics 2020-05-06 Conrad W. Rosenbrock , Eric R. Homer , Gábor Csányi , Gus L. W. Hart

We study the shearing of polydisperse and bidisperse media with a size ratio of 10. Simulations are performed with a the two dimensional shear cell using contact dynamics. With a truncated power law for the polydisperse media we find that…

Soft Condensed Matter · Physics 2009-11-10 Martin Wackenhut , Sean McNamara , Hans Herrmann

Memory Mosaics [Zhang et al., 2025], networks of associative memories, have demonstrated appealing compositional and in-context learning capabilities on medium-scale networks (GPT-2 scale) and synthetic small datasets. This work shows that…

Artificial Intelligence · Computer Science 2026-01-15 Jianyu Zhang , Léon Bottou

The application of machine learning in materials presents a unique challenge of dealing with scarce and varied materials data - both experimental and theoretical. Nevertheless, several state-of-the-art machine learning models for materials…

Mechanical metamaterials are usually designed to show desired responses to prescribed forces. In some applications, the desired force-response relationship might be hard to specify exactly, although examples of forces and corresponding…

Soft Condensed Matter · Physics 2020-11-10 Menachem Stern , Chukwunonso Arinze , Leron Perez , Stephanie Palmer , Arvind Murugan