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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.

169,341 papers · 148 categories

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3577151,0721,429 · Jun 202019922001200920182026
48 results for sparsity modeling

Sparseout controls sparsity in neural networks, improving performance in language modeling.

problem Controlling sparsity in neural networks to optimize performance.
method Sparseout is a variant of Dropout that controls sparsity, theoretically proven and empirically validated.
result Sparseout controls the desired level of sparsity in neural network activations, improving performance in language modeling.

Social-sparsity brain decoders improve speed and interpretability.

problem Computational cost and interpretability in brain decoding models.
method Introduced social-sparsity, a structured shrinkage operator.
result Social-sparsity performs almost as well as total-variation models and better than graph-net, with a fraction of the computational cost.

This paper studies activation sparsity in large language models, finding key trends and implications.

problem Activation sparsity in large language models (LLMs) can be improved for efficiency and interpretability.
method Proposes PPL-p%p\% sparsity, analyzes trends with training data, width-depth ratio, and parameter scale.
result ReLU is more efficient for sparsity than SiLU, and deeper architectures can improve sparsity.

Sparse activations in neural models correlate with frequent words, suggesting sparsity is natural.

problem Interpretability and resource efficiency in neural language models.
method Used the Taxi-Euclidean norm to measure sparsity and analyzed gradients and activations of frequent words.
result Frequent input words are associated with sparse activations, while frequent target words are associated with dispersed activations.

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.

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 ↗

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.

The paper investigates sparsity in deep neural networks, especially in larger models.

problem Reducing resource demands in deep neural networks, particularly in larger models.
method Extended TensorQuant toolbox to investigate sparsity in deeper models and various classification problem sizes.
result Promoted sparsity in deeper models, showing differences in sparsity for activations, weights, and gradients.

STR reparameterizes DNN weights with soft thresholds for better sparsity and accuracy.

problem Improving sparsity in DNNs for better accuracy and lower inference cost.
method Soft Threshold Reparameterization (STR) using the soft-threshold operator on DNN weights.
result STR achieves state-of-the-art accuracy and reduces FLOPs by up to 50%.

Variational Autoencoders naturally become sparse in high-dimensional latent spaces, reducing overfitting risk.

problem Overfitting risk in high-dimensional latent spaces of Variational Autoencoders.
method Analyzing the natural sparsity phenomenon in VAEs, emphasizing its role in self-regularization and model capacity tuning.
result Sparsity in VAEs forces the model to focus on important features, reducing overfitting risk.

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 ↗

HCPF improves recommendation systems by decoupling sparsity and response models.

problem Collaborative filtering with extreme sparsity and complex response types.
method Introduces HCPF with a Gamma-Poisson structure, decoupling sparsity and response models.
result HCPF outperforms HPF in capturing sparsity and response relationships.

New methods solve graph sparsity optimization problems faster.

problem Complex graph sparsity optimization problems in disease outbreak monitoring and social network analysis.
method Stochastic variance-reduced gradient-based methods GraphSVRG-IHT and GraphSCSG-IHT.
result Our methods achieve linear convergence speed.

A new algorithm optimizes graph-structured sparsity for nonlinear functions.

problem Optimizing sparsity-constrained optimization with graph-structured constraints.
method Graph-Structured Matching Pursuit (Graph-Mp) algorithm.
result Graph-Mp algorithm achieves strong convergence rate and approximation accuracy.

Paper studies binary random projections with controllable sparsity patterns for computational and accuracy advantages.

problem Improving computational efficiency and accuracy in random projections.
method Proposes two sparse binary projection models with controllable sparsity patterns.
result Significant computational advantages and improved accuracies in empirical evaluations.

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.

In this paper, we investigate a new compressive sensing model for multi-channel sparse data where each channel can be represented as a hierarchical tree and different channels are highly correlated. Therefore, the full data could follow the forest structure and we call this property as \emph{forest sparsity}. It exploi…

2012-11-20abs ↗pdf ↗

DeepHoyer introduces differentiable, scale-invariant sparsity measures for neural networks.

problem Efficiently sparsifying neural networks with scale-invariant sparsity measures.
method Developed DeepHoyer, a set of differentiable, scale-invariant sparsity-inducing regularizers based on the Hoyer measure.
result DeepHoyer produces sparser neural networks than previous methods, maintaining similar accuracy.

Study finds economic data may not be as sparse as previously thought.

problem Modeling economic relations with many variables and prior sensitivity issues.
method Bayesian approach with Spike-and-Slab prior to evaluate variable selection and shrinkage.
result Prior distribution affects detection of sparsity patterns in economic data.

MuVI models multi-view data with structured sparsity, integrating domain knowledge.

problem Disentangling variation across multiple data views in complex systems.
method Multi-view latent variable model with structured sparsity using a modified horseshoe prior.
result MuVI outperforms state-of-the-art methods in structured sparsity modeling and integrates noisy domain expertise.

We propose a new sparsity-smoothness penalty for high-dimensional generalized additive models. The combination of sparsity and smoothness is crucial for mathematical theory as well as performance for finite-sample data. We present a computationally efficient algorithm, with provable numerical convergence properties, fo…

2008-06-25abs ↗pdf ↗

Study the effects of data parallelism and sparsity on neural network training.

problem Understanding the effects of data parallelism and sparsity on neural network training.
method Conducted extensive experiments and developed a theoretical analysis.
result Found a general scaling trend between batch size and number of training steps to convergence for the effect of data parallelism, and difficulty of training under sparsity.

Bayesian framework for encoding uncertainty and inducing sparsity.

problem Handling uncertainty and inducing sparsity in statistical models.
method General Bayesian framework with explicit encoding of uncertainty and sparsity-inducing approach.
result Effective in linear and logistic regression, and Bayesian neural networks.

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are collected over time, it is often unrealistic to assume that the underlying spar…

2012-03-01abs ↗pdf ↗

Improves data recovery with optimized measurements and generalized sparsity models.

problem Data recovery with optimized measurements and generalized sparsity models.
method Optimizing over families of Banach spaces, investigating preservation of difference of sparse vectors, extending RIP to group structured measurements, and extending Fourier measurement concepts to infinite dimensions.
result Optimal scaling of number of measurements for group structured measurements and improved RIP in infinite dimensions.

LEWIS merges LLMs without training, improving performance on specific tasks.

problem Limited performance improvement of merged models on specific benchmarks.
method Guided model merging using layer-wise sparsity and task-vector pruning.
result Improved model performance by up to 11.3% on math-solving tasks.

This paper describes a simple framework for structured sparse recovery based on convex optimization. We show that many structured sparsity models can be naturally represented by linear matrix inequalities on the support of the unknown parameters, where the constraint matrix has a totally unimodular (TU) structure. For …

2014-11-07abs ↗pdf ↗

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.