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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.

168,657 papers · 148 categories

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3937851,1781,570 · Jun 202019922001200920172026
48 results for sparsity learning

The paper studies how regularization parameters affect sparsity in deep neural networks.

problem Reducing the complexity of deep neural networks by promoting sparsity.
method Derives 1\ell_1-norm sparsity-promoting models, characterizes sparsity levels, and develops algorithms for selecting optimal regularization parameters.
result Developed algorithms to select regularization parameters for desired sparsity levels in neural networks.

Sparsity in Deep Neural Networks (DNNs) is studied extensively with the focus of maximizing prediction accuracy given an overall parameter budget. Existing methods rely on uniform or heuristic non-uniform sparsity budgets which have sub-optimal layer-wise parameter allocation resulting in a) lower prediction accuracy o…

2020-02-08abs ↗pdf ↗

SparseRT accelerates sparse computations on GPUs for deep learning inference.

problem Efficiently handling unstructured sparsity patterns on GPUs for deep learning.
method SparseRT, a code generator that leverages unstructured sparsity for accelerating sparse linear algebra operations.
result Geometric mean speedups of 3.4x at 90% sparsity and 5.4x at 95% sparsity for 1x1 convolutions and fully connected layers.

Improves robustness of information bottleneck framework with sparsity-inducing prior.

problem Fixed-dimensional priors restrict flexibility and restrict robustness.
method Sparsity-inducing spike-slab categorical prior that learns dimension distribution per data point.
result Improves accuracy and robustness compared to traditional priors and other methods.

Paper develops a method to learn optimal sparsity-promoting regularizers for linear inverse problems.

problem Solving linear inverse problems with sparse solutions.
method Bilevel optimization framework to select an optimal synthesis operator BB.
result Established well-posedness and theoretical guarantees for the learning process.

New Max-Plus neural network exploits subgradient sparsity for efficient training.

problem Training Max-Plus neural networks is challenging due to dense subgradients.
method Proposes a sparse subgradient algorithm tailored to Max-Plus models.
result Achieves more efficient updates while retaining theoretical guarantees.

Structured sparsity has recently emerged in statistics, machine learning and signal processing as a promising paradigm for learning in high-dimensional settings. All existing methods for learning under the assumption of structured sparsity rely on prior knowledge on how to weight (or how to penalize) individual subsets…

2015-03-10abs ↗pdf ↗

Federated Learning with L0 constraint improves sparsity and performance.

problem Inherent sparsity in data and models leads to dense models with poor generalizability.
method L0 constraint on model density achieved through probabilistic gates and federated stochastic gradient descent.
result Achieves target sparsity (rho) in FL with minimal loss in statistical performance.

New measure SEV shows non-sparse models can still have low decision sparsity.

problem Non-sparse models can still make accurate decisions based on a few features.
method Introduced Sparse Explanation Value (SEV) to measure decision sparsity, not overall model sparsity.
result Many non-sparse models have low decision sparsity, as measured by SEV.

Attention mechanisms have become ubiquitous in NLP. Recent architectures, notably the Transformer, learn powerful context-aware word representations through layered, multi-headed attention. The multiple heads learn diverse types of word relationships. However, with standard softmax attention, all attention heads are de…

2019-08-30abs ↗pdf ↗

Proposes a sparsity algorithm to improve corporate credit ratings.

problem Improving credit ratings of publicly traded companies.
method Formulates counterfactual explanation as an optimization problem and proposes a sparsity algorithm to maximize sparsity.
result The sparsity algorithm can capture features that improve credit ratings.

New sparsity attacks degrade DNN efficiency, raising concerns for resource-constrained systems.

problem Vulnerabilities in DNNs through energy and latency attacks.
method Proposed sparsity attacks that modify DNN inputs to reduce activation sparsity, increasing execution time and energy consumption.
result Adversarial sparsity attacks can degrade DNN efficiency by up to 1.82x in image recognition DNNs.

Proposes a neural network for sparsity regularization in inverse problems using Gaussian mixture.

problem Sparsity in inverse problems with limited significant components.
method Probabilistic sparsity prior as a mixture of degenerate Gaussians, trained with neural network.
result Neural network yields lower mean square error than LASSO, group LASSO, and iterative hard thresholding.

2L-FUSE enhances feature sparsity through kernel learning.

problem Sparsity and feature selection in regression tasks.
method 2-Layered kernel machines for learning a shape matrix and feature direction identification.
result Minimal yet informative feature sets are identified without losing predictive performance.

New adaptive learning rate improves FTRL's adaptivity to sparsity, game-dependency, and best-of-both-worlds.

problem Improving adaptivity in sequential decision-making problems.
method Developed a stability-penalty-adaptive (SPA) learning rate for FTRL.
result First BOBW algorithm with sparsity-dependent bound.

Paper studies sparsity and DAG constraints for learning linear DAGs.

problem Learning DAGs from data is challenging due to the large search space.
method Formulates structure learning as a constrained optimization problem with soft sparsity and DAG constraints.
result Soft sparsity and DAG constraints lead to an easier optimization problem.

AGS-CL selectively updates penalties based on node importance for continual learning.

problem Catastrophic forgetting in continual learning.
method Adaptive Group Sparsity (AGS) with proximal gradient descent.
result Significantly outperforms baselines on various continual learning benchmarks.

New method enforces encoder sparsity in HPF for more interpretable feature selection.

problem Lack of encoder sparsity in HPF leads to lack of column-clustering property.
method Enforces encoder sparsity using a generalized additive model (GAM).
result Gains ability to perform feature selection and relates each representation to original features.

Dropout is commonly used to help reduce overfitting in deep neural networks. Sparsity is a potentially important property of neural networks, but is not explicitly controlled by Dropout-based regularization. In this work, we propose Sparseout a simple and efficient variant of Dropout that can be used to control the spa…

2019-04-17abs ↗pdf ↗

SCOPE iteratively optimizes sparsity-constrained problems without tuning hyperparameters.

problem Optimizing sparsity-constrained problems in signal processing, statistics, and machine learning.
method SCOPE (Sparsity-Constrained Optimization via sPlicing itEration) replaces gradient steps with a splicing operation guided by the objective value.
result SCOPE achieves linear convergence and superior support recovery performance.

New algorithm learns from sparse data without knowing sparsity index.

problem Sparse bandit problem where only a subset of features affects reward.
method Sparsity-agnostic Lasso Bandit algorithm that doesn't require prior sparsity index knowledge.
result Established tight regret bounds and outperforms existing methods.

Compressive sensing (CS) exploits sparsity to recover sparse or compressible signals from dimensionality reducing, non-adaptive sensing mechanisms. Sparsity is also used to enhance interpretability in machine learning and statistics applications: While the ambient dimension is vast in modern data analysis problems, the…

2015-07-20abs ↗pdf ↗

A new method solves l1-regularized optimization problems efficiently and sparsely.

problem l1-regularized optimization problems in machine learning.
method Orthant Based Proximal Stochastic Gradient Method (OBProx-SG)
result Promotes sparsity of solutions substantially and converges to global optimal solutions.

Sparsity learning with known grouping structure has received considerable attention due to wide modern applications in high-dimensional data analysis. Although advantages of using group information have been well-studied by shrinkage-based approaches, benefits of group sparsity have not been well-documented for greedy-…

2017-07-10abs ↗pdf ↗

This paper reviews Bayesian methods for sparsity-aware modeling.

problem Uncertainty evaluation and robustness in sparsity-aware models.
method Incorporates sparsity-promoting priors into deep neural networks, Gaussian processes, and tensor decomposition.
result Bayesian methods improve model robustness and uncertainty evaluation.

Sparse mapping has been a key methodology in many high-dimensional scientific problems. When multiple tasks share the set of relevant features, learning them jointly in a group drastically improves the quality of relevant feature selection. However, in practice this technique is used limitedly since such grouping infor…

2017-05-13abs ↗pdf ↗

A new method for differentiable structured sparsity improves neural network performance and sparsity.

problem Non-differentiability of structured sparsity penalties in neural networks.
method Introducing DD-Gating, a differentiable approach to structured overparameterization.
result The DD-Gating objective converges to the L2,2/DL_{2,2/D}-regularized loss and induces sparse learning dynamics.

The paper studies sparsity in EBF with hyperpriors and proposes a PALM algorithm.

problem Promoting sparsity in sparse learning problems.
method Empirical Bayes framework, hyperpriors, proximal alternating linearized minimization (PALM) algorithm.
result Appropriate hyperpriors can significantly enhance sparsity and restoration accuracy.

We study the emergence of sparse representations in neural networks. We show that in unsupervised models with regularization, the emergence of sparsity is the result of the input data samples being distributed along highly non-linear or discontinuous manifold. We also derive a similar argument for discriminatively trai…

2019-03-07abs ↗pdf ↗

Many natural signals exhibit a sparse representation, whenever a suitable describing model is given. Here, a linear generative model is considered, where many sparsity-based signal processing techniques rely on such a simplified model. As this model is often unknown for many classes of the signals, we need to select su…

2012-12-12abs ↗pdf ↗

Dynamic pricing learns demand model from sparse product networks.

problem Minimizing revenue loss in a large network of products with unknown demand parameters.
method Combines optimism-in-the-face-of-uncertainty and PAC-Bayesian approaches.
result Achieves asymptotically optimal performance in terms of network size and time horizon.

The paper analyzes the trade-off between smoothness and sparsity in GCN using lp-regularized learning.

problem Quantifying the trade-off between smoothness and sparsity in GCN.
method Proposes a novel SGD proximal algorithm for GCNs with an inexact operator to analyze the stability of the p\ell_p-regularized stochastic learning.
result Establishes an explicit theoretical understanding of GCN with p\ell_p-regularized stochastic learning.

Bayesian method improves dictionary learning for complex problems.

problem Efficiently identifying relevant dictionary entries for complex inverse problems.
method Bayesian group sparsity coding and deflation steps to compress and identify relevant subdictionaries.
result Significant computational complexity reduction and improved glitch detection in LIGO experiment.