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This article surveys the burgeoning area at the intersection of dynamical systems theory and algorithms for NP-hard problems. Traditionally, computational complexity and the analysis of non-deterministic polynomial-time (NP)-hard problems…

Optimization and Control · Mathematics 2020-05-12 Tuhin Sahai

A key stepping stone in the development of an artificial general intelligence (a machine that can perform any task), is the production of agents that can perform multiple tasks at once instead of just one. Unfortunately, canonical methods…

Neural and Evolutionary Computing · Computer Science 2019-04-08 Joseph Early

Recently it has been demonstrated that causal entropic forces can lead to the emergence of complex phenomena associated with human cognitive niche such as tool use and social cooperation. Here I show that even more fundamental traits…

Information Theory · Computer Science 2016-04-20 Fouad Khan

The problem of a deep learning model losing performance on a previously learned task when fine-tuned to a new one is a phenomenon known as Catastrophic forgetting. There are two major ways to mitigate this problem: either preserving…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Shivangi Srivastava , Maxim Berman , Matthew B. Blaschko , Devis Tuia

Evolutionary algorithms have been applied to a wide range of stochastic problems. Motivated by real-world problems where constraint violations have disruptive effects, this paper considers the chance-constrained knapsack problem (CCKP)…

Neural and Evolutionary Computing · Computer Science 2021-08-02 Yue Xie , Oscar Harper , Hirad Assimi , Aneta Neumann , Frank Neumann

Deep Neural Networks (DNNs) suffer from a rapid decrease in performance when trained on a sequence of tasks where only data of the most recent task is available. This phenomenon, known as catastrophic forgetting, prevents DNNs from…

Machine Learning · Computer Science 2021-04-22 Felix Wiewel , Bin Yang

In this paper, we consider the problem of fine-grained image retrieval in an incremental setting, when new categories are added over time. On the one hand, repeatedly training the representation on the extended dataset is time-consuming. On…

Computer Vision and Pattern Recognition · Computer Science 2020-10-19 Wei Chen , Yu Liu , Weiping Wang , Tinne Tuytelaars , Erwin M. Bakker , Michael Lew

In this paper, we study nonconvex constrained optimization problems with both equality and inequality constraints, covering deterministic and stochastic settings. We propose a novel first-order algorithm framework that employs a…

Optimization and Control · Mathematics 2025-11-10 Qiankun Shi , Xiao Wang

Catastrophic transitions, where a system shifts abruptly between alternate steady states, are a generic feature of many nonlinear systems. Recently these regime shift were suggested as the mechanism underlies many ecological catastrophes,…

Populations and Evolution · Quantitative Biology 2015-06-11 Haim Weissmann , Nadav M. Shnerb

The dynamic matrix inverse problem is to maintain the inverse of a matrix undergoing element and column updates. It is the main subroutine behind the best algorithms for many dynamic problems whose complexity is not yet well-understood,…

Data Structures and Algorithms · Computer Science 2019-05-14 Jan van den Brand , Danupon Nanongkai , Thatchaphol Saranurak

A key challenge for AI is to build embodied systems that operate in dynamically changing environments. Such systems must adapt to changing task contexts and learn continuously. Although standard deep learning systems achieve state of the…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Abhiram Iyer , Karan Grewal , Akash Velu , Lucas Oliveira Souza , Jeremy Forest , Subutai Ahmad

We consider the problem setting of prediction with expert advice with possibly heavy-tailed losses, i.e. the only assumption on the losses is an upper bound on their second moments, denoted by $\theta$. We develop adaptive algorithms that…

Machine Learning · Computer Science 2026-01-09 Antoine Moulin , Emmanuel Esposito , Dirk van der Hoeven

The quantum imaginary time evolution is a powerful algorithm for preparing the ground and thermal states on near-term quantum devices. However, algorithmic errors induced by Trotterization and local approximation severely hinder its…

Quantum Physics · Physics 2022-03-16 Chenfeng Cao , Zheng An , Shi-Yao Hou , D. L. Zhou , Bei Zeng

Fast Adversarial Training (FAT) has gained increasing attention within the research community owing to its efficacy in improving adversarial robustness. Particularly noteworthy is the challenge posed by catastrophic overfitting (CO) in this…

Machine Learning · Computer Science 2024-02-29 Mengnan Zhao , Lihe Zhang , Yuqiu Kong , Baocai Yin

In many real-world scenarios, data to train machine learning models become available over time. However, neural network models struggle to continually learn new concepts without forgetting what has been learnt in the past. This phenomenon…

Machine Learning · Computer Science 2022-06-29 Beyza Ermis , Giovanni Zappella , Martin Wistuba , Aditya Rawal , Cedric Archambeau

Neural machine translation (NMT) models usually suffer from catastrophic forgetting during continual training where the models tend to gradually forget previously learned knowledge and swing to fit the newly added data which may have a…

Computation and Language · Computer Science 2020-12-01 Shuhao Gu , Yang Feng

Algorithmic efficiency is essential to reducing energy and time usage for computational problems. Optimizing efficiency is important for tasks involving multiple resources, for example in stochastic calculations where the size of the random…

Computational Physics · Physics 2025-07-09 Run Yan Teh , Manushan Thenabadu , Peter D Drummond

A promising approach to achieve computational supremacy over the classical von Neumann architecture explores classical and quantum hardware as Ising machines. The minimisation of the Ising Hamiltonian is known to be NP-hard problem for…

Quantum Physics · Physics 2020-08-04 Kirill P. Kalinin , Natalia G. Berloff

The real-time solution of parametric optimization problems is critical for applications that demand high accuracy under tight real-time constraints, such as model predictive control. To this end, this work presents a learning-based…

Machine Learning · Computer Science 2025-11-17 Lukas Lüken , Sergio Lucia

Not so long ago, a method was discovered that successfully overcomes the catastrophic forgetting in neural networks. Although we know about the cases of using this method to preserve skills when adapting pre-trained networks to particular…

Machine Learning · Computer Science 2021-06-07 Alexey Kutalev
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