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Data augmentation (DA) turns seemingly intractable computational problems into simple ones by augmenting latent missing data. In addition to computational simplicity, it is now well-established that DA equipped with a deterministic…

Methodology · Statistics 2020-05-26 Hyungsuk Tak , Kisung You , Sujit K. Ghosh , Bingyue Su , Joseph Kelly

Test-time adaptation (TTA) addresses the unforeseen distribution shifts occurring during test time. In TTA, performance, memory consumption, and time consumption are crucial considerations. A recent diffusion-based TTA approach for…

Computer Vision and Pattern Recognition · Computer Science 2024-07-12 Yeongtak Oh , Jonghyun Lee , Jooyoung Choi , Dahuin Jung , Uiwon Hwang , Sungroh Yoon

We explore the impact of learning paradigms on training deep neural networks for the Travelling Salesman Problem. We design controlled experiments to train supervised learning (SL) and reinforcement learning (RL) models on fixed graph sizes…

Machine Learning · Computer Science 2019-11-01 Chaitanya K. Joshi , Thomas Laurent , Xavier Bresson

The travelling salesman problem (TSP) of space trajectory design is complicated by its complex structure design space. The graph based tree search and stochastic seeding combinatorial approaches are commonly employed to tackle the…

Optimization and Control · Mathematics 2021-09-07 Liqiang Hou , Shufan Wu , Zhongcheng Mu , Meilin Liu

Deep Imitation Learning requires a large number of expert demonstrations, which are not always easy to obtain, especially for complex tasks. A way to overcome this shortage of labels is through data augmentation. However, this cannot be…

Machine Learning · Computer Science 2021-03-29 Dafni Antotsiou , Carlo Ciliberto , Tae-Kyun Kim

The maximum traveling salesman problem (Max TSP) consists of finding a Hamiltonian cycle with the maximum total weight of the edges in a given complete weighted graph. This problem is APX-hard in the general metric case but admits…

Data Structures and Algorithms · Computer Science 2021-08-24 Vladimir Shenmaier

Test-Time Adaptation (TTA) allows to update pre-trained models to changing data distributions at deployment time. While early work tested these algorithms for individual fixed distribution shifts, recent work proposed and applied methods…

Machine Learning · Computer Science 2024-04-04 Ori Press , Steffen Schneider , Matthias Kümmerer , Matthias Bethge

We show that the traveling salesman problem (TSP) and its many variants may be modeled as functional optimization problems over a graph. In this formulation, all vertices and arcs of the graph are functionals; i.e., a mapping from a space…

Optimization and Control · Mathematics 2020-05-08 I. M. Ross , R. J. Proulx , M. Karpenko

Scaling model parameters has become the de facto strategy for improving NLP systems, but it comes with substantial computational costs. Test-Time Scaling (TTS) offers an alternative by allocating more computation at inference: generating…

Computation and Language · Computer Science 2025-09-24 Shaomu Tan , Ryosuke Mitani , Ritvik Choudhary , Toshiyuki Sekiya

Test-time adaptive (TTA) semantic segmentation adapts a source pre-trained image semantic segmentation model to unlabeled batches of target domain test images, different from real-world, where samples arrive one-by-one in an online fashion.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Debasmit Das , Shubhankar Borse , Hyojin Park , Kambiz Azarian , Hong Cai , Risheek Garrepalli , Fatih Porikli

The Travelling Salesman Problem (TSP) is a classical combinatorial optimisation problem. Deep learning has been successfully extended to meta-learning, where previous solving efforts assist in learning how to optimise future optimisation…

Machine Learning · Computer Science 2020-11-04 Nasrin Sultana , Jeffrey Chan , A. K. Qin , Tabinda Sarwar

Deep neural networks often encounter significant performance drops while facing with domain shifts between training (source) and test (target) data. To address this issue, Test Time Adaptation (TTA) methods have been proposed to adapt…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Siqi Luo , Yi Xin , Yuntao Du , Tao Tan , Guangtao Zhai , Xiaohong Liu

Quantum computing is offering a novel perspective for solving combinatorial optimization problems. To fully explore the possibilities offered by quantum computers, the problems need to be formulated as unconstrained binary models, taking…

Quantum Physics · Physics 2022-02-01 Özlem Salehi , Adam Glos , Jarosław Adam Miszczak

Continual Test-Time Adaptation (CTTA) is proposed to migrate a source pre-trained model to continually changing target distributions, addressing real-world dynamism. Existing CTTA methods mainly rely on entropy minimization or…

Computer Vision and Pattern Recognition · Computer Science 2024-03-28 Jiaming Liu , Ran Xu , Senqiao Yang , Renrui Zhang , Qizhe Zhang , Zehui Chen , Yandong Guo , Shanghang Zhang

In order to deal with the high development time of exact and approximation algorithms for NP-hard combinatorial optimisation problems and the high running time of exact solvers, deep learning techniques have been used in recent years as an…

Machine Learning · Computer Science 2021-04-20 James Fitzpatrick , Deepak Ajwani , Paula Carroll

In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

Soft Condensed Matter · Physics 2009-10-30 M. Argollo de Menezes , T. J. P. Penna

The travelling thief problem (TTP) is a multi-component optimisation problem involving two interdependent NP-hard components: the travelling salesman problem (TSP) and the knapsack problem (KP). Recent state-of-the-art TTP solvers modify…

Artificial Intelligence · Computer Science 2023-03-01 Majid Namazi , Conrad Sanderson , M. A. Hakim Newton , Abdul Sattar

Test-time adaptation (TTA) aims to fine-tune a trained model online using unlabeled testing data to adapt to new environments or out-of-distribution data, demonstrating broad application potential in real-world scenarios. However, in this…

Machine Learning · Computer Science 2024-12-24 Qi Deng , Shuaicheng Niu , Ronghao Zhang , Yaofo Chen , Runhao Zeng , Jian Chen , Xiping Hu

Data augmentation serves as a popular regularization technique to combat overfitting challenges in neural networks. While automatic augmentation has demonstrated success in image classification tasks, its application to time-series…

Machine Learning · Computer Science 2025-06-19 Liran Nochumsohn , Omri Azencot

We study the generalization capability of Unsupervised Learning in solving the Travelling Salesman Problem (TSP). We use a Graph Neural Network (GNN) trained with a surrogate loss function to generate an embedding for each node. We use…

Artificial Intelligence · Computer Science 2024-11-20 Yimeng Min , Carla P. Gomes