Careful! Training Relevance is Real
- URL: http://arxiv.org/abs/2201.04429v1
- Date: Wed, 12 Jan 2022 11:54:31 GMT
- Title: Careful! Training Relevance is Real
- Authors: Chenbo Shi, Mohsen Emadikhiav, Leonardo Lozano, David Bergman
- Abstract summary: We propose constraints designed to enforce training relevance.
We show through a collection of experimental results that adding the suggested constraints significantly improves the quality of solutions.
- Score: 0.7742297876120561
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: There is a recent proliferation of research on the integration of machine
learning and optimization. One expansive area within this research stream is
predictive-model embedded optimization, which uses pre-trained predictive
models for the objective function of an optimization problem, so that features
of the predictive models become decision variables in the optimization problem.
Despite a recent surge in publications in this area, one aspect of this
decision-making pipeline that has been largely overlooked is training
relevance, i.e., ensuring that solutions to the optimization problem should be
similar to the data used to train the predictive models. In this paper, we
propose constraints designed to enforce training relevance, and show through a
collection of experimental results that adding the suggested constraints
significantly improves the quality of solutions obtained.
Related papers
- Learning Joint Models of Prediction and Optimization [56.04498536842065]
Predict-Then-Then framework uses machine learning models to predict unknown parameters of an optimization problem from features before solving.
This paper proposes an alternative method, in which optimal solutions are learned directly from the observable features by joint predictive models.
arXiv Detail & Related papers (2024-09-07T19:52:14Z) - End-to-End Learning for Fair Multiobjective Optimization Under
Uncertainty [55.04219793298687]
The Predict-Then-Forecast (PtO) paradigm in machine learning aims to maximize downstream decision quality.
This paper extends the PtO methodology to optimization problems with nondifferentiable Ordered Weighted Averaging (OWA) objectives.
It shows how optimization of OWA functions can be effectively integrated with parametric prediction for fair and robust optimization under uncertainty.
arXiv Detail & Related papers (2024-02-12T16:33:35Z) - From Function to Distribution Modeling: A PAC-Generative Approach to
Offline Optimization [30.689032197123755]
This paper considers the problem of offline optimization, where the objective function is unknown except for a collection of offline" data examples.
Instead of learning and then optimizing the unknown objective function, we take on a less intuitive but more direct view that optimization can be thought of as a process of sampling from a generative model.
arXiv Detail & Related papers (2024-01-04T01:32:50Z) - Predict-Then-Optimize by Proxy: Learning Joint Models of Prediction and
Optimization [59.386153202037086]
Predict-Then- framework uses machine learning models to predict unknown parameters of an optimization problem from features before solving.
This approach can be inefficient and requires handcrafted, problem-specific rules for backpropagation through the optimization step.
This paper proposes an alternative method, in which optimal solutions are learned directly from the observable features by predictive models.
arXiv Detail & Related papers (2023-11-22T01:32:06Z) - Backpropagation of Unrolled Solvers with Folded Optimization [55.04219793298687]
The integration of constrained optimization models as components in deep networks has led to promising advances on many specialized learning tasks.
One typical strategy is algorithm unrolling, which relies on automatic differentiation through the operations of an iterative solver.
This paper provides theoretical insights into the backward pass of unrolled optimization, leading to a system for generating efficiently solvable analytical models of backpropagation.
arXiv Detail & Related papers (2023-01-28T01:50:42Z) - Optimization with Constraint Learning: A Framework and Survey [0.0]
This paper provides a framework for Optimization with Constraint Learning (OCL)
This framework includes the following steps: (i) setup of the conceptual optimization model, (ii) data gathering and preprocessing, (iii) selection and training of predictive models, (iv) resolution of the optimization model, and (v) verification and improvement of the optimization model.
arXiv Detail & Related papers (2021-10-05T15:42:06Z) - Fast Rates for Contextual Linear Optimization [52.39202699484225]
We show that a naive plug-in approach achieves regret convergence rates that are significantly faster than methods that directly optimize downstream decision performance.
Our results are overall positive for practice: predictive models are easy and fast to train using existing tools, simple to interpret, and, as we show, lead to decisions that perform very well.
arXiv Detail & Related papers (2020-11-05T18:43:59Z) - 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)
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.