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Permutation of any two hidden units yields invariant properties in typical deep generative neural networks. This permutation symmetry plays an important role in understanding the computation performance of a broad class of neural networks…

Disordered Systems and Neural Networks · Physics 2019-09-17 Tianqi Hou , K. Y. Michael Wong , Haiping Huang

Learning disentangled representations is a key step towards effectively discovering and modelling the underlying structure of environments. In the natural sciences, physics has found great success by describing the universe in terms of…

Machine Learning · Computer Science 2020-10-27 Robin Quessard , Thomas D. Barrett , William R. Clements

Learning visual features from unlabeled image data is an important yet challenging task, which is often achieved by training a model on some annotation-free information. We consider spatial contexts, for which we solve so-called jigsaw…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Chen Wei , Lingxi Xie , Xutong Ren , Yingda Xia , Chi Su , Jiaying Liu , Qi Tian , Alan L. Yuille

Designing learning algorithms that are resistant to perturbations of the underlying data distribution is a problem of wide practical and theoretical importance. We present a general approach to this problem focusing on unsupervised…

Machine Learning · Computer Science 2021-02-22 Andreas Maurer , Daniela A. Parletta , Andrea Paudice , Massimiliano Pontil

We study the fundamental problem of learning an unknown object from data using a prescribed model class. We introduce a unified framework that accommodates objects in arbitrary Hilbert spaces, general (possibly vector-valued) random linear…

Machine Learning · Computer Science 2026-03-09 Ben Adcock , Juan M. Cardenas , Nick Dexter

We investigate the influence of different kinds of structure on the learning behaviour of a perceptron performing a classification task defined by a teacher rule. The underlying pattern distribution is permitted to have spatial…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Dirscherl , B. Schottky , U. Krey

We show that neural networks trained by evolutionary reinforcement learning can enact efficient molecular self-assembly protocols. Presented with molecular simulation trajectories, networks learn to change temperature and chemical potential…

Statistical Mechanics · Physics 2020-06-01 Stephen Whitelam , Isaac Tamblyn

We develop a learning-based framework for constructing shrinking disturbance-invariant tubes under state- and input-dependent uncertainty, intended as a building block for tube Model Predictive Control (MPC), and certify safety via a…

Systems and Control · Electrical Eng. & Systems 2026-01-19 Abdelrahman Ramadan , Sidney Givigi

We introduce a machine-learning approach for identifying hidden structural features of open quantum dynamics under restricted experimental access. Unlike most existing data-driven methods which focus on detection or prediction of dynamical…

Quantum Physics · Physics 2026-04-02 Alexander Teretenkov , Sergey Kuznetsov , Alexander Pechen

Despite their apparent diversity, modern machine learning methods can be reduced to a remarkably simple core principle: learning is achieved by continuously optimizing parameters to minimize or maximize a scalar objective function. This…

Machine Learning · Computer Science 2026-02-24 Sheng Ran

Although much progress has been made towards robust deep learning, a significant gap in robustness remains between real-world perturbations and more narrowly defined sets typically studied in adversarial defenses. In this paper, we aim to…

Machine Learning · Computer Science 2020-10-09 Eric Wong , J. Zico Kolter

The predominant approach for language modeling is to process sequences from left to right, but this eliminates a source of information: the order by which the sequence was generated. One strategy to recover this information is to decode…

Computation and Language · Computer Science 2021-11-01 Xuanlin Li , Brandon Trabucco , Dong Huk Park , Michael Luo , Sheng Shen , Trevor Darrell , Yang Gao

Many real-world problems, e.g. object detection, have outputs that are naturally expressed as sets of entities. This creates a challenge for traditional deep neural networks which naturally deal with structured outputs such as vectors,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-03 S. Hamid Rezatofighi , Roman Kaskman , Farbod T. Motlagh , Qinfeng Shi , Daniel Cremers , Laura Leal-Taixé , Ian Reid

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

Pattern Formation and Solitons · Physics 2024-07-23 Yingjie Zhao , Zhiping Xu

Contrastive learning has become an important tool in learning representations from unlabeled data mainly relying on the idea of minimizing distance between positive data pairs, e.g., views from the same images, and maximizing distance…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Nina Shvetsova , Felix Petersen , Anna Kukleva , Bernt Schiele , Hilde Kuehne

Compositional data, which are vectors of proportions constrained to the probability simplex, arise frequently in modern scientific applications, including microbiome relative abundances across body sites and cell-type mixture weights…

Methodology · Statistics 2026-05-08 Shuangjie Zhang , Bani K. Mallick , Yang Ni

In this paper, we consider the problem of learning functions over sets, i.e., functions that are invariant to permutations of input set items. Recent approaches of pooling individual element embeddings can necessitate extremely large…

Machine Learning · Computer Science 2020-01-13 Chirag Pabbaraju , Prateek Jain

A central challenge in continual learning is forgetting, the loss of performance on previously learned tasks induced by sequential adaptation to new ones. While forgetting has been extensively studied empirically, rigorous theoretical…

Machine Learning · Computer Science 2026-04-16 Zonghuan Xu , Xingjun Ma

Organisms in nature have evolved to exhibit flexibility in face of changes to the environment and/or to themselves. Artificial neural networks (ANNs) have proven useful for controlling of artificial agents acting in environments. However,…

Machine Learning · Computer Science 2022-05-18 Joachim Winther Pedersen , Sebastian Risi

In complex systems, we often observe complex global behavior emerge from a collection of agents interacting with each other in their environment, with each individual agent acting only on locally available information, without knowing the…

Neural and Evolutionary Computing · Computer Science 2021-09-30 Yujin Tang , David Ha