TransOpt: Transformer-based Representation Learning for Optimization
Problem Classification
- URL: http://arxiv.org/abs/2311.18035v1
- Date: Wed, 29 Nov 2023 19:20:47 GMT
- Title: TransOpt: Transformer-based Representation Learning for Optimization
Problem Classification
- Abstract summary: We propose a representation of optimization problem instances using a transformer-based neural network architecture.
We show that transformer-based methods can be trained to recognize problem classes with accuracies in the range of 70%-80% for different problem dimensions.
- Score: 5.327489950641566
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: We propose a representation of optimization problem instances using a
transformer-based neural network architecture trained for the task of problem
classification of the 24 problem classes from the Black-box Optimization
Benchmarking (BBOB) benchmark. We show that transformer-based methods can be
trained to recognize problem classes with accuracies in the range of 70\%-80\%
for different problem dimensions, suggesting the possible application of
transformer architectures in acquiring representations for black-box
optimization problems.
Related papers
- Optimizing Optimizers for Fast Gradient-Based Learning [53.81268610971847]
We lay the theoretical foundation for automating design in gradient-based learning.<n>By treating gradient loss signals as a function that translates to parameter motions, the problem reduces to a family of convex optimization problems.
arXiv Detail & Related papers (2025-12-06T09:50:41Z) - Multi-Class Imbalanced Learning with Support Vector Machines via Differential Evolution [4.877822002065298]
Support vector machine (SVM) is a powerful machine learning algorithm to handle classification tasks.
In this paper, we propose an improved SVM via Differential Evolution (i-SVM-DE) method to deal with it.
arXiv Detail & Related papers (2025-02-20T14:30:18Z) - Preventing Local Pitfalls in Vector Quantization via Optimal Transport [77.15924044466976]
We introduce OptVQ, a novel vector quantization method that employs the Sinkhorn algorithm to optimize the optimal transport problem.
Our experiments on image reconstruction tasks demonstrate that OptVQ achieves 100% codebook utilization and surpasses current state-of-the-art VQNs in reconstruction quality.
arXiv Detail & Related papers (2024-12-19T18:58:14Z) - Impact of spatial transformations on landscape features of CEC2022 basic
benchmark problems [2.2298281397001434]
We investigate several problem transformations and show how they influence the low-level landscape features of a set of 5 problems from the CEC2022 benchmark suite.
Our results highlight that even relatively small transformations can significantly alter the measured landscape features.
This poses a wider question of what properties we want to preserve when creating problem transformations, and how to fairly measure them.
arXiv Detail & Related papers (2024-02-12T13:52:34Z) - DynamoRep: Trajectory-Based Population Dynamics for Classification of
Black-box Optimization Problems [0.755972004983746]
We propose a feature extraction method that describes the trajectories of optimization algorithms using simple statistics.
We demonstrate that the proposed DynamoRep features capture enough information to identify the problem class on which the optimization algorithm is running.
arXiv Detail & Related papers (2023-06-08T06:57:07Z) - Full Stack Optimization of Transformer Inference: a Survey [58.55475772110702]
Transformer models achieve superior accuracy across a wide range of applications.
The amount of compute and bandwidth required for inference of recent Transformer models is growing at a significant rate.
There has been an increased focus on making Transformer models more efficient.
arXiv Detail & Related papers (2023-02-27T18:18:13Z) - Handling Imbalanced Classification Problems With Support Vector Machines
via Evolutionary Bilevel Optimization [73.17488635491262]
Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems.
This article introduces EBCS-SVM: evolutionary bilevel cost-sensitive SVMs.
arXiv Detail & Related papers (2022-04-21T16:08:44Z) - Benchmark Problems for CEC2021 Competition on Evolutionary Transfer
Multiobjectve Optimization [19.712301693126115]
This report proposes a total number of 40 benchmark functions, covering diverse types and properties in the case of knowledge transfer.
All the benchmark functions have been implemented in JAVA code, which can be downloaded on the following website.
arXiv Detail & Related papers (2021-10-15T12:03:46Z) - Batch Bayesian Optimization on Permutations using Acquisition Weighted
Kernels [86.11176756341114]
We introduce LAW, a new efficient batch acquisition method based on the determinantal point process.
We provide a regret analysis for our method to gain insight in its theoretical properties.
We evaluate the method on several standard problems involving permutations such as quadratic assignment.
arXiv Detail & Related papers (2021-02-26T10:15:57Z) - Adaptive Sampling of Pareto Frontiers with Binary Constraints Using
Regression and Classification [0.0]
We present a novel adaptive optimization algorithm for black-box multi-objective optimization problems with binary constraints.
Our method is based on probabilistic regression and classification models, which act as a surrogate for the optimization goals.
We also present a novel ellipsoid truncation method to speed up the expected hypervolume calculation.
arXiv Detail & Related papers (2020-08-27T09:15:02Z) - A Flexible Framework for Designing Trainable Priors with Adaptive
Smoothing and Game Encoding [57.1077544780653]
We introduce a general framework for designing and training neural network layers whose forward passes can be interpreted as solving non-smooth convex optimization problems.
We focus on convex games, solved by local agents represented by the nodes of a graph and interacting through regularization functions.
This approach is appealing for solving imaging problems, as it allows the use of classical image priors within deep models that are trainable end to end.
arXiv Detail & Related papers (2020-06-26T08:34:54Z) - Automatically Learning Compact Quality-aware Surrogates for Optimization
Problems [55.94450542785096]
Solving optimization problems with unknown parameters requires learning a predictive model to predict the values of the unknown parameters and then solving the problem using these values.
Recent work has shown that including the optimization problem as a layer in a complex training model pipeline results in predictions of iteration of unobserved decision making.
We show that we can improve solution quality by learning a low-dimensional surrogate model of a large optimization problem.
arXiv Detail & Related papers (2020-06-18T19:11:54Z) - Tiering as a Stochastic Submodular Optimization Problem [5.659969270836789]
Tiering is an essential technique for building large-scale information retrieval systems.
We show that the optimal tiering as an optimization problem can be cast as a submodular minimization problem with a submodular knapsack constraint.
arXiv Detail & Related papers (2020-05-16T07:39:29Z) - Discovering Representations for Black-box Optimization [73.59962178534361]
We show that black-box optimization encodings can be automatically learned, rather than hand designed.
We show that learned representations make it possible to solve high-dimensional problems with orders of magnitude fewer evaluations than the standard MAP-Elites.
arXiv Detail & Related papers (2020-03-09T20:06:20Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.