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We study the dynamics of on-line learning in large perceptrons, for the case of training sets with a structural bias of the input vectors, by deriving exact and closed macroscopic dynamical laws using non-equilibrium statistical mechanical…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. C. Rae , J. A. F. Heimel , A. C. C. Coolen

Design rule check is a critical step in the physical design of integrated circuits to ensure manufacturability. However, it can be done only after a time-consuming detailed routing procedure, which adds drastically to the time of design…

Machine Learning · Computer Science 2018-11-13 Wei Zeng , Azadeh Davoodi , Yu Hen Hu

We examine the optical properties of a system of nano and micro particles of varying size, shape, and material (including metals and dielectrics, and sub-wavelength and super-wavelength regimes). Training data is generated by numerically…

Concept Bottleneck Models (CBMs) tackle the opacity of neural architectures by constructing and explaining their predictions using a set of high-level concepts. A special property of these models is that they permit concept interventions,…

Sequential Bayesian inference over predictive functions is a natural framework for continual learning from streams of data. However, applying it to neural networks has proved challenging in practice. Addressing the drawbacks of existing…

Machine Learning · Statistics 2023-12-29 Tim G. J. Rudner , Freddie Bickford Smith , Qixuan Feng , Yee Whye Teh , Yarin Gal

Nearly all state of the art vision models are sensitive to image rotations. Existing methods often compensate for missing inductive biases by using augmented training data to learn pseudo-invariances. Alongside the resource demanding data…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Johann Schmidt , Sebastian Stober

We propose a machine learning approach to address a key challenge in materials science: predicting how fractures propagate in brittle materials under stress, and how these materials ultimately fail. Our methods use deep learning and train…

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

We investigate the capabilities of transfer learning in the area of structural health monitoring. In particular, we are interested in damage detection for concrete structures. Typical image datasets for such problems are relatively small,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-06 Zaharah A. Bukhsh , Nils Jansen , Aaqib Saeed

In this paper, we propose a learning-based low-overhead beam alignment method for vehicle-to-infrastructure communication in vehicular networks. The main idea is to remotely infer the optimal beam directions at a target base station in…

Information Theory · Computer Science 2018-12-05 Sheng Chen , Zhiyuan Jiang , Sheng Zhou , Zhisheng Niu

Machine learning models for continuous outcomes often yield systematically biased predictions, particularly for values that largely deviate from the mean. Specifically, predictions for large-valued outcomes tend to be negatively biased…

Machine Learning · Statistics 2024-09-05 Hwiyoung Lee , Shuo Chen

This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy? Positive evidence is provided for the first time,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Martin Genzel , Ingo Gühring , Jan Macdonald , Maximilian März

Concept Bottleneck Models (CBMs) assume that training examples (e.g., x-ray images) are annotated with high-level concepts (e.g., types of abnormalities), and perform classification by first predicting the concepts, followed by predicting…

Computation and Language · Computer Science 2023-12-19 Danis Alukaev , Semen Kiselev , Ilya Pershin , Bulat Ibragimov , Vladimir Ivanov , Alexey Kornaev , Ivan Titov

Continuous-time Bayesian networks (CTBNs) constitute a general and powerful framework for modeling continuous-time stochastic processes on networks. This makes them particularly attractive for learning the directed structures among…

Machine Learning · Statistics 2018-10-15 Dominik Linzner , Heinz Koeppl

The field of structural engineering is vast, spanning areas from the design of new infrastructure to the assessment of existing infrastructure. From the onset, traditional entry-level university courses teach students to analyse structural…

In computer-aided design (CAD), the ability to "reverse engineer" the modeling steps used to create 3D shapes is a long-sought-after goal. This process can be decomposed into two sub-problems: converting an input mesh or point cloud into a…

Computational Geometry · Computer Science 2021-04-22 Xianghao Xu , Wenzhe Peng , Chin-Yi Cheng , Karl D. D. Willis , Daniel Ritchie

Despite significant advances in the field of freeform optical design, there still remain various unsolved problems. One of these is the design of smooth, shallow freeform topologies, consisting of multiple convex, concave and saddle shaped…

Optics · Physics 2024-02-13 Jeroen Cerpentier , Youri Meuret

A key phase in the bridge design process is the selection of the structural system. Due to budget and time constraints, engineers typically rely on engineering judgment and prior experience when selecting a structural system, often…

Machine Learning · Statistics 2018-03-14 Achyuthan Jootoo , David Lattanzi

Stripe patterns are ubiquitous in nature and everyday life. While the synthesis of these patterns has been thoroughly studied in the literature, their potential to control the mechanics of structured materials remains largely unexplored. In…

Graphics · Computer Science 2023-05-24 Juan Montes Maestre , Yinwei Du , Ronan Hinchet , Stelian Coros , Bernhard Thomaszewski

The classical method of determining the atomic structure of complex molecules by analyzing diffraction patterns is currently undergoing drastic developments. Modern techniques for producing extremely bright and coherent X-ray lasers allow a…

Biomolecules · Quantitative Biology 2015-10-12 Tomas Ekeberg , Stefan Engblom , Jing Liu