Density Fixing: Simple yet Effective Regularization Method based on the
Class Prior
- URL: http://arxiv.org/abs/2007.03899v2
- Date: Sun, 6 Sep 2020 05:07:23 GMT
- Title: Density Fixing: Simple yet Effective Regularization Method based on the
Class Prior
- Authors: Masanari Kimura and Ryohei Izawa
- Abstract summary: We propose a framework of regularization methods, called density-fixing, that can be used commonly for supervised and semi-supervised learning.
Our proposed regularization method improves the generalization performance by forcing the model to approximate the class's prior distribution or the frequency of occurrence.
- Score: 2.3859169601259347
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Machine learning models suffer from overfitting, which is caused by a lack of
labeled data. To tackle this problem, we proposed a framework of regularization
methods, called density-fixing, that can be used commonly for supervised and
semi-supervised learning. Our proposed regularization method improves the
generalization performance by forcing the model to approximate the class's
prior distribution or the frequency of occurrence. This regularization term is
naturally derived from the formula of maximum likelihood estimation and is
theoretically justified. We further provide the several theoretical analyses of
the proposed method including asymptotic behavior. Our experimental results on
multiple benchmark datasets are sufficient to support our argument, and we
suggest that this simple and effective regularization method is useful in
real-world machine learning problems.
Related papers
- Obtaining Explainable Classification Models using Distributionally
Robust Optimization [12.511155426574563]
We study generalized linear models constructed using sets of feature value rules.
An inherent trade-off exists between rule set sparsity and its prediction accuracy.
We propose a new formulation to learn an ensemble of rule sets that simultaneously addresses these competing factors.
arXiv Detail & Related papers (2023-11-03T15:45:34Z) - MaxMatch: Semi-Supervised Learning with Worst-Case Consistency [149.03760479533855]
We propose a worst-case consistency regularization technique for semi-supervised learning (SSL)
We present a generalization bound for SSL consisting of the empirical loss terms observed on labeled and unlabeled training data separately.
Motivated by this bound, we derive an SSL objective that minimizes the largest inconsistency between an original unlabeled sample and its multiple augmented variants.
arXiv Detail & Related papers (2022-09-26T12:04:49Z) - Predictive machine learning for prescriptive applications: a coupled
training-validating approach [77.34726150561087]
We propose a new method for training predictive machine learning models for prescriptive applications.
This approach is based on tweaking the validation step in the standard training-validating-testing scheme.
Several experiments with synthetic data demonstrate promising results in reducing the prescription costs in both deterministic and real models.
arXiv Detail & Related papers (2021-10-22T15:03:20Z) - Squared $\ell_2$ Norm as Consistency Loss for Leveraging Augmented Data
to Learn Robust and Invariant Representations [76.85274970052762]
Regularizing distance between embeddings/representations of original samples and augmented counterparts is a popular technique for improving robustness of neural networks.
In this paper, we explore these various regularization choices, seeking to provide a general understanding of how we should regularize the embeddings.
We show that the generic approach we identified (squared $ell$ regularized augmentation) outperforms several recent methods, which are each specially designed for one task.
arXiv Detail & Related papers (2020-11-25T22:40:09Z) - Semi-Supervised Learning with Meta-Gradient [123.26748223837802]
We propose a simple yet effective meta-learning algorithm in semi-supervised learning.
We find that the proposed algorithm performs favorably against state-of-the-art methods.
arXiv Detail & Related papers (2020-07-08T08:48:56Z) - Good Classifiers are Abundant in the Interpolating Regime [64.72044662855612]
We develop a methodology to compute precisely the full distribution of test errors among interpolating classifiers.
We find that test errors tend to concentrate around a small typical value $varepsilon*$, which deviates substantially from the test error of worst-case interpolating model.
Our results show that the usual style of analysis in statistical learning theory may not be fine-grained enough to capture the good generalization performance observed in practice.
arXiv Detail & Related papers (2020-06-22T21:12:31Z) - Optimization and Generalization of Regularization-Based Continual
Learning: a Loss Approximation Viewpoint [35.5156045701898]
We provide a novel viewpoint of regularization-based continual learning by formulating it as a second-order Taylor approximation of the loss function of each task.
Based on this viewpoint, we study the optimization aspects (i.e., convergence) as well as generalization properties (i.e., finite-sample guarantees) of regularization-based continual learning.
arXiv Detail & Related papers (2020-06-19T06:08:40Z) - Detangling robustness in high dimensions: composite versus
model-averaged estimation [11.658462692891355]
Robust methods, though ubiquitous in practice, are yet to be fully understood in the context of regularized estimation and high dimensions.
This paper provides a toolbox to further study robustness in these settings and focuses on prediction.
arXiv Detail & Related papers (2020-06-12T20:40:15Z) - Learning the Truth From Only One Side of the Story [58.65439277460011]
We focus on generalized linear models and show that without adjusting for this sampling bias, the model may converge suboptimally or even fail to converge to the optimal solution.
We propose an adaptive approach that comes with theoretical guarantees and show that it outperforms several existing methods empirically.
arXiv Detail & Related papers (2020-06-08T18:20:28Z)
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.