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Related papers: Unsupervised Training for Neural TSP Solver

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The Traveling Salesman Problem (TSP) is a well-known NP-hard combinatorial optimization problem with wide-ranging applications in logistics, routing, and intelligent systems. Due to its factorial complexity, solving large-scale instances…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 Rabab Alkhalifa , Fatima Alkhomayes , Boushra Almazroua , Dana Alhaidan , Maryam Alothman , Jumana Almuhaidib

We study the problem of regression with interval targets, where only upper and lower bounds on target values are available in the form of intervals. This problem arises when the exact target label is expensive or impossible to obtain, due…

Machine Learning · Computer Science 2025-10-27 Rattana Pukdee , Ziqi Ke , Chirag Gupta

We study the structure of solutions to linear programming formulations for the traveling salesperson problem (TSP). We perform a detailed analysis of the support of the subtour elimination linear programming relaxation, which leads to…

Data Structures and Algorithms · Computer Science 2015-03-27 Matthias Mnich , Tobias Mömke

In this work, we introduce Graph Pointer Networks (GPNs) trained using reinforcement learning (RL) for tackling the traveling salesman problem (TSP). GPNs build upon Pointer Networks by introducing a graph embedding layer on the input,…

Machine Learning · Computer Science 2019-11-13 Qiang Ma , Suwen Ge , Danyang He , Darshan Thaker , Iddo Drori

Recent papers on approximation algorithms for the traveling salesman problem (TSP) have given a new variant on the well-known Christofides' algorithm for the TSP, called the Best-of-Many Christofides' algorithm. The algorithm involves…

Data Structures and Algorithms · Computer Science 2015-06-26 Kyle Genova , David P. Williamson

The goal of regression and classification methods in supervised learning is to minimize the empirical risk, that is, the expectation of some loss function quantifying the prediction error under the empirical distribution. When facing scarce…

Optimization and Control · Mathematics 2019-07-15 Soroosh Shafieezadeh-Abadeh , Daniel Kuhn , Peyman Mohajerin Esfahani

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

Machine Learning · Computer Science 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

Deep neural networks have gained tremendous success in a broad range of machine learning tasks due to its remarkable capability to learn semantic-rich features from high-dimensional data. However, they often require large-scale labelled…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Hu Wang , Guansong Pang , Chunhua Shen , Congbo Ma

An unsupervised learning classification model is described. It achieves classification error probability competitive with that of popular supervised learning classifiers such as SVM or kNN. The model is based on the incremental execution of…

Machine Learning · Computer Science 2024-10-01 Daniel N. Nissani

We propose the application of a semi-supervised learning method to improve the performance of acoustic modelling for automatic speech recognition based on deep neural net- works. As opposed to unsupervised initialisation followed by…

Machine Learning · Statistics 2016-10-04 Akash Kumar Dhaka , Giampiero Salvi

Self-training is one of the earliest and simplest semi-supervised methods. The key idea is to augment the original labeled dataset with unlabeled data paired with the model's prediction (i.e. the pseudo-parallel data). While self-training…

Machine Learning · Computer Science 2020-10-20 Junxian He , Jiatao Gu , Jiajun Shen , Marc'Aurelio Ranzato

Traveling Salesman Problem (TSP) is a classic NP-hard problem that has garnered significant attention from both academia and industry. While neural-based methods have shown promise for solving TSPs, they still face challenges in scaling to…

Machine Learning · Computer Science 2026-04-16 Tongkai Lu , Shuai Ma , Chongyang Tao

We propose a new methodology for parameterized constrained robust optimization, an important class of optimization problems under uncertainty, based on learning with a self-supervised penalty-based loss function. Whereas supervised learning…

Optimization and Control · Mathematics 2025-03-10 Wyame Benslimane , Paul Grigas

By the recent advances in computer technology leading to the invention of more powerful processors, the importance of creating models using data training is even greater than ever. Given the significance of this issue, this work tries to…

Optimization and Control · Mathematics 2023-12-27 Saman Khoramian

Offline reinforcement learning (RL) aims to learn an optimal policy from pre-collected data. However, it faces challenges of distributional shift, where the learned policy may encounter unseen scenarios not covered in the offline data.…

Machine Learning · Computer Science 2025-05-27 Jin Zhu , Xin Zhou , Jiaang Yao , Gholamali Aminian , Omar Rivasplata , Simon Little , Lexin Li , Chengchun Shi

Unsupervised embedding learning aims to extract good representation from data without the need for any manual labels, which has been a critical challenge in many supervised learning tasks. This paper proposes a new unsupervised embedding…

Machine Learning · Computer Science 2020-02-28 Sungwon Han , Yizhan Xu , Sungwon Park , Meeyoung Cha , Cheng-Te Li

We present a general methodology for using unlabeled data to design semi supervised learning (SSL) variants of the Empirical Risk Minimization (ERM) learning process. Focusing on generalized linear regression, we analyze of the…

Machine Learning · Statistics 2022-03-08 Oren Yuval , Saharon Rosset

Weakly supervised learning is a popular approach for training machine learning models in low-resource settings. Instead of requesting high-quality yet costly human annotations, it allows training models with noisy annotations obtained from…

Computation and Language · Computer Science 2023-09-19 Dawei Zhu , Xiaoyu Shen , Marius Mosbach , Andreas Stephan , Dietrich Klakow

Decision making and learning in the presence of uncertainty has attracted significant attention in view of the increasing need to achieve robust and reliable operations. In the case where uncertainty stems from the presence of adversarial…

Machine Learning · Computer Science 2024-03-25 André Bertolace , Konstatinos Gatsis , Kostas Margellos

Unsupervised contrastive learning has gained increasing attention in the latest research and has proven to be a powerful method for learning representations from unlabeled data. However, little theoretical analysis was known for this…

Machine Learning · Computer Science 2021-06-01 Zixin Wen
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