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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.

168,878 papers · 148 categories

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48 results for Sparse and localized

Improved locally private sparse estimation with multiple samples per user.

problem Challenges in high-dimensional locally private sparse estimation.
method Proposes a framework for user-level locally private sparse linear regression with multiple samples per user.
result Eliminates the dependency of dimensionality on error bounds, achieving tighter error bounds.

Folded concave penalization methods have been shown to enjoy the strong oracle property for high-dimensional sparse estimation. However, a folded concave penalization problem usually has multiple local solutions and the oracle property is established only for one of the unknown local solutions. A challenging fundamenta…

2012-10-22abs ↗pdf ↗

Paper optimizes privacy-preserving distribution estimation for sparse data.

problem Sparse distribution estimation under local differential privacy constraints.
method Compressive sensing approaches for privacy-preserving estimation.
result Significant reduction in sample complexity for approximately sparse distributions.

Sparse coding, which represents a data point as a sparse reconstruction code with regard to a dictionary, has been a popular data representation method. Meanwhile, in database retrieval problems, learning the ranking scores from data points plays an important role. Up to now, these two problems have always been conside…

2014-09-08abs ↗pdf ↗

Sparse hypergraph neural networks improve reasoning in large knowledge graphs.

problem Reasoning about relationships in large, real-world domains using sparse and local inferences.
method Sparse and local hypergraph neural networks (SpaLoc) exploiting relational inferences that are usually local and sparse.
result State-of-the-art performance on real-world knowledge graph reasoning benchmarks.

The interaction between transitivity and sparsity, two common features in empirical networks, implies that there are local regions of large sparse networks that are dense. We call this the blessing of transitivity and it has consequences for both modeling and inference. Extant research suggests that statistical inferen…

2013-07-08abs ↗pdf ↗

AGML model improves indoor localization with sparse fingerprints using meta-learning and graph neural networks.

problem Maintaining high localization accuracy with extremely sparse fingerprints.
method Attentional Graph Neural Network (AGNN) and meta-learning framework with data augmentation strategies.
result AGML model consistently outperforms baseline methods across various metrics.

SDSPCAAN combines supervised and local data structures for better dimensionality reduction.

problem Preserving both global and local data structures for noisy high-dimensional data.
method Supervised discriminative sparse PCA with adaptive neighbors (SDSPCAAN).
result SDSPCAAN improves classification accuracy on high-dimensional datasets.

Paper develops sparse learning for heavy-tailed time series with locally stationary dynamics.

problem Sparse learning for high-dimensional heavy-tailed locally stationary time series.
method Additive modeling with kernel smoothing, sparsity-inducing penalized estimation.
result Prediction-error bounds and convergence rates for different sparsity structures.

There has been a recent interest in understanding the power of local algorithms for optimization and inference problems on sparse graphs. Gamarnik and Sudan (2014) showed that local algorithms are weaker than global algorithms for finding large independent sets in sparse random regular graphs. Montanari (2015) showed t…

2015-08-10abs ↗pdf ↗

NGSLL combines DNN accuracy with linear model interpretability.

problem Combining high accuracy of DNNs with interpretability of linear models.
method Neural generators of sparse local linear models (NGSLL) using DNNs to approximate non-linear functions.
result Effective in real-world datasets, achieving high predictive performance and interpretability.

SPARTAN learns sparse interaction graphs between objects in scenes.

problem Capturing structured interactions between entities in complex settings remains challenging.
method SPARTAN is a Transformer-based world model that learns sparse, context-dependent interaction graphs through sparsity regularization on attention patterns.
result SPARTAN achieves significantly improved few-shot adaptation to dynamics changes and robustness against distractors.

Extends ESGVI for UWB localization with skewed noise, improving state estimation accuracy.

problem Improving state estimation accuracy in UWB localization with skewed noise.
method Generalizes ESGVI to matrix Lie groups and introduces non-Gaussian factors.
result Improved accuracy in UWB localization with NLOS and multipath effects.

New RL method uses distance between states instead of rewards for sparse reward environments.

problem Sparse rewards or non-reward environments in reinforcement learning.
method Uses goal-distance gradient and bridge point planning for policy improvement.
result Significantly better performance on sparse reward and local optimal problems in complex environments.

New techniques improve the accuracy of identifying nonlinear systems from noisy data.

problem Identifying nonlinear dynamical systems from noisy state measurements.
method Comparative study of local and global smoothing techniques to denoise state measurements and improve sparse regression methods.
result Global smoothing methods outperform local methods in improving the accuracy of governing equation recovery.

Locally sparse neural networks improve interpretability for biomedical tabular data.

problem Overfitting and lack of interpretability in neural networks for tabular biomedical data.
method Locally sparse neural network with a gating network to select relevant features.
result The method outperforms state-of-the-art models in synthetic and real-world biomedical datasets.

Proposes sparse local and regional counterfactual rules for robust recourses.

problem Challenges in counterfactual explanations, especially stability, synthesis, and implementation.
method Probabilistic framework using Random Forest to derive sparse local and regional counterfactual rules.
result Effective recourses derived from high-density regions, providing sparse and robust counterfactual rules.

Locality regularized reconstruction finds sparse coefficients for sparse and structured data.

problem Finding sparse coefficients for linear representations of data.
method Solves a regularized least squares regression problem with a locality function promoting use of columns close to the target vector.
result Optimal coefficients have at most d+1d+1 non-zero entries, and can be supported on the vertices of the Delaunay simplex.

We consider a distributed learning setup where a sparse signal is estimated over a network. Our main interest is to save communication resource for information exchange over the network and reduce processing time. Each node of the network uses a convex optimization based algorithm that provides a locally optimum soluti…

2018-03-31abs ↗pdf ↗

A popular approach within the signal processing and machine learning communities consists in modelling signals as sparse linear combinations of atoms selected from a learned dictionary. While this paradigm has led to numerous empirical successes in various fields ranging from image to audio processing, there have only …

2014-07-19abs ↗pdf ↗

RFA-LCF improves clustering accuracy by robustly handling noise and errors.

problem Inaccurate representation and clustering results due to noise and hard constraints.
method Integrates robust flexible CF, sparse local-coordinate coding, and adaptive weighting into a unified model.
result Delivers state-of-the-art clustering results on public databases.

The paper introduces a method for interpretable principal component analysis of high-dimensional time series.

problem Inconsistent and difficult-to-interpret principal component estimates in high-dimensional regimes.
method Localized sparse principal component analysis of spectral density matrices in frequency domain.
result Efficient algorithm for sparse-localized estimates of principal subspaces.

We propose a communication-efficient distributed estimation method for sparse linear discriminant analysis (LDA) in the high dimensional regime. Our method distributes the data of size NN into mm machines, and estimates a local sparse LDA estimator on each machine using the data subset of size N/mN/m. After the distri…

2016-10-15abs ↗pdf ↗