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Graph Neural Networks (GNNs) are highly vulnerable to adversarial perturbations in both topology and features, making the learning of robust representations a critical challenge. In this work, we bridge GNNs with control theory to introduce…

Machine Learning · Computer Science 2026-03-16 Haoyu Chu , Xiaotong Chen , Wei Zhou , Wenjun Cui , Kai Zhao , Shikui Wei , Qiyu Kang

High order momentum-based parameter update algorithms have seen widespread applications in training machine learning models. Recently, connections with variational approaches have led to the derivation of new learning algorithms with…

Optimization and Control · Mathematics 2021-06-08 Joseph E. Gaudio , Anuradha M. Annaswamy , José M. Moreu , Michael A. Bolender , Travis E. Gibson

Systems with predetermined Lyapunov functions play an important role in many areas of applied mathematics, physics and engineering: dynamic optimization methods (objective functions and their modifications), machine learning (loss…

Dynamical Systems · Mathematics 2024-10-17 Sergey V. Stasenko , Alexander N. Kirdin

Memory effects are ubiquitous in a wide variety of complex physical phenomena, ranging from glassy dynamics and metamaterials to climate models. The Generalised Langevin Equation (GLE) provides a rigorous way to describe memory effects via…

Disordered Systems and Neural Networks · Physics 2023-06-29 Max Kerr Winter , Ilian Pihlajamaa , Vincent E. Debets , Liesbeth M. C. Janssen

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

We propose a new type of attack for finding adversarial examples for image classifiers. Our method exploits spanners, i.e. deep neural networks whose input space is low-dimensional and whose output range approximates the set of images of…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Ajil Jalal , Andrew Ilyas , Constantinos Daskalakis , Alexandros G. Dimakis

In this work, we improve the generative replay in a continual learning setting to perform well on challenging scenarios. Current generative rehearsal methods are usually benchmarked on small and simple datasets as they are not powerful…

Machine Learning · Computer Science 2023-09-20 Valeriya Khan , Sebastian Cygert , Kamil Deja , Tomasz Trzciński , Bartłomiej Twardowski

We explore a data-driven approach for learning to optimize neural networks. We construct a dataset of neural network checkpoints and train a generative model on the parameters. In particular, our model is a conditional diffusion transformer…

Machine Learning · Computer Science 2022-09-27 William Peebles , Ilija Radosavovic , Tim Brooks , Alexei A. Efros , Jitendra Malik

The ability to learn from incrementally arriving data is essential for any life-long learning system. However, standard deep neural networks forget the knowledge about the old tasks, a phenomenon called catastrophic forgetting, when trained…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Haseeb Shah , Khurram Javed , Faisal Shafait

In human perception and cognition, a fundamental operation that brains perform is interpretation: constructing coherent neural states from noisy, incomplete, and intrinsically ambiguous evidence. The problem of interpretation is well…

Machine Learning · Computer Science 2019-09-30 Michael Iuzzolino , Yoram Singer , Michael C. Mozer

While dense retrieval models, which embed queries and documents into a shared low-dimensional space, have gained widespread popularity, they were shown to exhibit important theoretical limitations and considerably lag behind traditional…

Information Retrieval · Computer Science 2026-04-09 Adrian Bracher , Svitlana Vakulenko

Continual learning tries to learn new tasks without forgetting previously learned ones. In reality, most of the existing artificial neural network(ANN) models fail, while humans do the same by remembering previous works throughout their…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Subhankar Ghosh

Generative Adversarial Networks (GANs) can successfully approximate a probability distribution and produce realistic samples. However, open questions such as sufficient convergence conditions and mode collapse still persist. In this paper,…

Machine Learning · Computer Science 2019-03-13 Thang Doan , Joao Monteiro , Isabela Albuquerque , Bogdan Mazoure , Audrey Durand , Joelle Pineau , R Devon Hjelm

Episodic and semantic memory are critical components of the human memory model. The theory of complementary learning systems (McClelland et al., 1995) suggests that the compressed representation produced by a serial event (episodic memory)…

Neural and Evolutionary Computing · Computer Science 2022-02-08 Jason Ramapuram , Yan Wu , Alexandros Kalousis

Existing neural ranking models follow the text matching paradigm, where document-to-query relevance is estimated through predicting the matching score. Drawing from the rich literature of classical generative retrieval models, we introduce…

Information Retrieval · Computer Science 2021-06-28 Oleg Lesota , Navid Rekabsaz , Daniel Cohen , Klaus Antonius Grasserbauer , Carsten Eickhoff , Markus Schedl

A machine-learning approach called "reservoir computing" has been used successfully for short-term prediction and attractor reconstruction of chaotic dynamical systems from time series data. We present a theoretical framework that describes…

Chaotic Dynamics · Physics 2018-08-01 Zhixin Lu , Brian R. Hunt , Edward Ott

The mainstream paradigm behind continual learning has been to adapt the model parameters to non-stationary data distributions, where catastrophic forgetting is the central challenge. Typical methods rely on a rehearsal buffer or known task…

Machine Learning · Computer Science 2022-03-23 Zifeng Wang , Zizhao Zhang , Chen-Yu Lee , Han Zhang , Ruoxi Sun , Xiaoqi Ren , Guolong Su , Vincent Perot , Jennifer Dy , Tomas Pfister

Lyapunov optimization theory has recently emerged as a powerful mathematical framework for solving complex stochastic optimization problems by transforming long-term objectives into a sequence of real-time short-term decisions while…

Networking and Internet Architecture · Computer Science 2025-01-28 Zhang Liu , Dusit Niyato , Jiacheng Wang , Geng Sun , Lianfen Huang , Zhibin Gao , Xianbin Wang

Learned models and policies can generalize effectively when evaluated within the distribution of the training data, but can produce unpredictable and erroneous outputs on out-of-distribution inputs. In order to avoid distribution shift when…

Machine Learning · Computer Science 2022-06-22 Katie Kang , Paula Gradu , Jason Choi , Michael Janner , Claire Tomlin , Sergey Levine

Training neural networks to satisfy universal constraints over continuous domains poses unique challenges. Common examples include Lyapunov Neural Networks (Lyapunov NNs) and Physics-Informed Neural Networks (PINNs), where analytical…

Machine Learning · Computer Science 2026-05-12 Siteng Kang , Xinhua Zhang
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