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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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154309463617 · Jun 202019922001200920172026
48 results for information regularization

The paper explores how regularization can lead to convergence in imperfect information games.

problem Finding equilibrium in imperfect information games with imperfect information.
method Investigates Follow the Regularized Leader dynamics and how adding a regularization term can lead to strong convergence guarantees.
result The approach leads to algorithms that converge exactly to the Nash equilibrium in imperfect information games.

Proposes a method for multi-view clustering that integrates consistent and complementary graph regularizers.

problem Multi-view clustering where views have both consistent and complementary information.
method Consistent and complementary graph-regularized multi-view subspace clustering (GRMSC).
result The proposed method outperforms state-of-the-art methods on benchmark datasets.

We formulate a principle for classification with the knowledge of the marginal distribution over the data points (unlabeled data). The principle is cast in terms of Tikhonov style regularization where the regularization penalty articulates the way in which the marginal density should constrain otherwise unrestricted co…

2012-10-19abs ↗pdf ↗

The FSRM uses a multifractional process to capture price multifractality, revealing serial information for forecasting.

problem Capturing multifractal price dynamics for better forecasting.
method Developed a fractional stochastic regularity model based on multifractional processes and information theory.
result The serial information of the regularity process HtH_t can be theoretically determined, aiding in forecasting future price increments.

We tackle the challenge of disentangled representation learning in generative adversarial networks (GANs) from the perspective of regularized optimal transport (OT). Specifically, a smoothed OT loss gives rise to an implicit transportation plan between the latent space and the data space. Based on this theoretical obse…

2019-12-04abs ↗pdf ↗

This research smooths out fluid equations to avoid sudden shocks.

problem Formation of shock singularities in compressible fluid equations.
method Information geometric regularization of unidimensional pressureless Euler equations.
result Smooth global solutions without artificial viscosity.

New insights explain why ββ-VAEs fail at disentanglement.

problem Disentanglement performance of ββ-VAEs peaks at intermediate ββ and collapses as regularization increases.
method Formalized information-theoretic mechanism, introduced λβλβ-VAE to stabilize disentanglement.
result Strong regularization pressure leads to mutual information collapse in ββ-VAEs.

Introduces top-kk regularization for better feature selection in machine learning.

problem Limited ability of existing feature selection methods to reconcile feature representativeness and inter-correlations.
method Top-kk regularization, which induces a sub-architecture on the model's architecture to select informative features and model complex relationships.
result Uniform approximation error bound for top-kk regularization approximating high-dimensional sparse functions.

Propagation-regularization improves GNN performance by infusing extra graph information.

problem The effectiveness of graph Laplacian regularization in GNNs is questioned and improved upon.
method Introducing Propagation-regularization (P-reg) to enhance GNN performance.
result P-reg boosts GNN performance on various tasks across multiple datasets.

Regularization is a big issue for training deep neural networks. In this paper, we propose a new information-theory-based regularization scheme named SHADE for SHAnnon DEcay. The originality of the approach is to define a prior based on conditional entropy, which explicitly decouples the learning of invariant represent…

2018-05-14abs ↗pdf ↗

Regularization is a big issue for training deep neural networks. In this paper, we propose a new information-theory-based regularization scheme named SHADE for SHAnnon DEcay. The originality of the approach is to define a prior based on conditional entropy, which explicitly decouples the learning of invariant represent…

2018-04-29abs ↗pdf ↗

Learning to cooperate with friends and compete with foes is a key component of multi-agent reinforcement learning. Typically to do so, one requires access to either a model of or interaction with the other agent(s). Here we show how to learn effective strategies for cooperation and competition in an asymmetric informat…

2018-08-06abs ↗pdf ↗

RID framework quantifies and regularizes task-relevant knowledge in distillation.

problem Distilling irrelevant information can hinder student model performance.
method Partial Information Decomposition to quantify and regularize task-relevant knowledge.
result RID framework leads to more resilient distillation under nuisance teachers.

Paper explores how DPP sampling can implicitly regularize kernel regression.

problem Improving kernel regression by reducing redundancy in data.
method Using Determinantal Point Processes (DPPs) to sample subsets implicitly regularizes ridgeless Kernel Regression.
result Ensemble of ridgeless regressors can be effective for datasets with redundant information.

Variational inference with a factorized Gaussian posterior estimate is a widely used approach for learning parameters and hidden variables. Empirically, a regularizing effect can be observed that is poorly understood. In this work, we show how mean field inference improves generalization by limiting mutual information …

2019-02-12abs ↗pdf ↗

Statistical characteristics of deep network representations, such as sparsity and correlation, are known to be relevant to the performance and interpretability of deep learning. When a statistical characteristic is desired, often an adequate regularizer can be designed and applied during the training phase. Typically, …

2018-09-25abs ↗pdf ↗

Regularization methods, specifically those which directly alter weights like L1L_1 and L2L_2, are an integral part of many learning algorithms. Both the regularizers mentioned above are formulated by assuming certain priors in the parameter space and these assumptions, in some cases, induce sparsity in the parameter sp…

2019-10-31abs ↗pdf ↗

A new tradeoff between regularization and sharpness improves model performance in overparameterized settings.

problem Improving model performance in overparameterized settings with minimum-norm interpolators.
method Proposes a regularization-sharpness tradeoff for overparameterized linear regression with an ℓ^p penalty.
result Empirical validation shows the tradeoff terms can distinguish performant linear interpolators.

Variational autoencoders learn unsupervised data representations, but these models frequently converge to minima that fail to preserve meaningful semantic information. For example, variational autoencoders with autoregressive decoders often collapse into autodecoders, where they learn to ignore the encoder input. In th…

2019-05-17abs ↗pdf ↗

We estimate Radon-Nikodym derivatives using regularization in reproducing kernel Hilbert spaces.

problem Estimating Radon-Nikodym derivatives in various applications.
method General regularization scheme in reproducing kernel Hilbert spaces.
result High order accuracy in reconstructing Radon-Nikodym derivatives at any point.

Study evaluates various regularization methods for electricity price forecasting.

problem Improving accuracy of electricity price predictions.
method Applied ten different penalty functions to two model structures in two electricity markets.
result LQ and elastic net consistently produce more accurate forecasts than other regularization types.

Statistical methods protecting sensitive information or the identity of the data owner have become critical to ensure privacy of individuals as well as of organizations. This paper investigates anonymization methods based on representation learning and deep neural networks, and motivated by novel information theoretica…

2018-02-26abs ↗pdf ↗

Proposes a framework to maximize mutual information in VAE models for better latent code representation.

problem Lack of explicit measurement of the quality of learned representations in VAE models.
method Variational Mutual Information Maximization Framework for VAE.
result Maximizes mutual information between latent codes and observations, improving latent code representation.

Unified framework for removing unwanted information from machine learning models.

problem Removing undesirable features or data points from machine learning models while preserving utility.
method Information-theoretic regularization approach for data point and feature unlearning.
result Unified mathematical framework with provable guarantees for both data point and feature unlearning.

HCLM framework uses entropy regularization for open learning systems.

problem Real-world AI challenges and limitations of deep learning.
method Dynamical and information-theoretic framework with entropy regularization.
result Geometric entropy surrogates, especially log-determinant covariance entropy, induce stronger and more stable information forces.

In this paper, we suggest a framework to make use of mutual information as a regularization criterion to train Auto-Encoders (AEs). In the proposed framework, AEs are regularized by minimization of the mutual information between input and encoding variables of AEs during the training phase. In order to estimate the ent…

2017-06-14abs ↗pdf ↗

Many real world tasks exhibit rich structure that is repeated across different parts of the state space or in time. In this work we study the possibility of leveraging such repeated structure to speed up and regularize learning. We start from the KL regularized expected reward objective which introduces an additional c…

2019-05-03abs ↗pdf ↗

The paper refines classical covariance asymptotics using geometric information geometry.

problem Deviation of finite-sample behavior from classical predictions in curved models.
method Develops a curvature-aware refinement by viewing parametric families as Riemannian manifolds with Fisher-Rao metric.
result Derives an \(n^{-2}\) correction to the leading \(n^{-1}I(θ)^{-1}\) covariance term for score-root estimators.

Contrastive regularization improves semi-supervised learning by better propagating confident pseudo-labels.

problem Consistency regularization's limitation in high performance and efficiency.
method Proposes contrastive regularization to update model features, pushing confident labels into unlabeled samples.
result Improves semi-supervised learning tasks with fewer training iterations and robust performance.

This work improves generalisation bounds using chaining and information theory.

problem Improving generalisation bounds for supervised learning algorithms.
method Developed a theoretical framework linking generalisation bounds to their chained counterparts, derived new bounds using Wasserstein distance.
result Chained generalisation bounds can be tighter than standard bounds, especially for concentrated hypothesis distributions.

This paper proposes a method to select relevant features for multi-label learning.

problem Feature selection in multi-label learning to retain important information with minimal features.
method Random manifold sampling and joint sparse regularization to solve multicollinearity and obtain sparse feature sets.
result The proposed method outperforms other methods in selecting relevant features for multi-label learning.

In this work we revisit gradient regularization for adversarial robustness with some new ingredients. First, we derive new per-image theoretical robustness bounds based on local gradient information. These bounds strongly motivate input gradient regularization. Second, we implement a scaleable version of input gradient…

2019-05-27abs ↗pdf ↗