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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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48 results for sparse label vectors

This paper investigates the computational complexity of sparse label propagation which has been proposed recently for processing network structured data. Sparse label propagation amounts to a convex optimization problem and might be considered as an extension of basis pursuit from sparse vectors to network structured d…

2018-04-25abs ↗pdf ↗

Paper solves NP-hard sparse mixed linear regression problem with provable guarantees.

problem Sparse mixed linear regression on unlabeled data.
method Invex relaxation for intractable problem with theoretical guarantees.
result Exact recovery of data labels and close approximation of regression parameters.

SOLAR improves search efficiency and accuracy with sparse, orthogonal embeddings.

problem Bottleneck of indexing large dense vectors and NNS for query efficiency and accuracy.
method Proposes SOLAR embeddings: sparse, orthogonal, learned, and random vectors across multiple GPUs.
result Successfully trains 500K dimensional SOLAR embeddings for 1.6M books and multi-label classification.

This paper tackles multilabel classification by exploiting label sparsity and hierarchy.

problem Sparse label vectors and unknown label hierarchy in large-scale multilabel classification problems.
method Data-dependent grouping and hierarchical partitioning to solve multilabel classification problems in a lower-dimensional space.
result Our methods achieve competitive accuracy with significantly lower computational costs compared to other methods.

Sparse coding approximates the data sample as a sparse linear combination of some basic codewords and uses the sparse codes as new presentations. In this paper, we investigate learning discriminative sparse codes by sparse coding in a semi-supervised manner, where only a few training samples are labeled. By using the m…

2013-11-26abs ↗pdf ↗

In multi-instance (MI) learning, each object (bag) consists of multiple feature vectors (instances), and is most commonly regarded as a set of points in a multidimensional space. A different viewpoint is that the instances are realisations of random vectors with corresponding probability distribution, and that a bag is…

2018-03-07abs ↗pdf ↗

Study spectral properties of sparse random graphs to recover latent vectors.

problem Recovering latent vectors in sparse random geometric graphs.
method Analyzes spectral concentration and uses orthogonal polynomial expansions, decoupling, and matrix concentration.
result Sharpens spectral norm bounds and proves exact recovery for Gaussian mixture models.

HopGAT improves node classification in sparsely labeled graphs by learning from distant neighbors.

problem Classifying nodes in sparsely labeled graphs with limited labeled data.
method Hop-aware supervision mechanism and simulated annealing learning strategy.
result The model achieves high accuracy even with 40% labeled data, reducing performance loss to 3.9%.

A fast method for discrete OT with group-sparse regularization for class label preservation.

problem Efficiently measuring the distance between two discrete distributions with class labels.
method Fast discrete OT with group-sparse regularizers using gradient-based algorithms.
result Up to 8.6 times faster than original method without degrading accuracy.

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.

We propose learning flexible but interpretable functions that aggregate a variable-length set of permutation-invariant feature vectors to predict a label. We use a deep lattice network model so we can architect the model structure to enhance interpretability, and add monotonicity constraints between inputs-and-outputs.…

2018-05-31abs ↗pdf ↗

Visual reranking is effective to improve the performance of the text-based video search. However, existing reranking algorithms can only achieve limited improvement because of the well-known semantic gap between low level visual features and high level semantic concepts. In this paper, we adopt interactive video search…

2011-03-14abs ↗pdf ↗

Rotation invariant algorithms fail with hard labels sampled from sparse targets.

problem Rotation invariant algorithms fail to learn from hard labels sampled from sparse targets.
method Proving the excess risk of rotation invariant algorithms and proposing a simple non-rotation invariant algorithm.
result Rotation invariant algorithms incur an excess risk of $Ω\left(\frac{d-1}{n} ight)$, while non-rotation invariant algorithms have an excess risk of $O\left(\frac{s\log d}{n} ight).

In multi-label learning, each sample is associated with several labels. Existing works indicate that exploring correlations between labels improve the prediction performance. However, embedding the label correlations into the training process significantly increases the problem size. Moreover, the mapping of the label …

2011-03-01abs ↗pdf ↗

Study on recovering supports of multiple sparse vectors from mixed linear measurements.

problem Recovering supports of multiple sparse vectors from a mixture of linear measurements.
method Developed algorithms to identify the support of all component vectors using polynomial and quasi-polynomial number of measurements.
result Polynomial and quasi-polynomial number of measurements sufficient for recovering the supports of all component vectors.

Feature hashing and other random projection schemes are commonly used to reduce the dimensionality of feature vectors. The goal is to efficiently project a high-dimensional feature vector living in Rn\mathbb{R}^n into a much lower-dimensional space Rm\mathbb{R}^m, while approximately preserving Euclidean norm. These sc…

2019-03-08abs ↗pdf ↗

In this paper we formally analyse the use of sparse filtering algorithms to perform covariate shift adaptation. We provide a theoretical analysis of sparse filtering by evaluating the conditions required to perform covariate shift adaptation. We prove that sparse filtering can perform adaptation only if the conditional…

2016-07-22abs ↗pdf ↗

Paper tackles sparse recovery with shuffled labels, establishing statistical and computational limits.

problem Sparse recovery with shuffled labels, focusing on permutation matrix and sparse signal reconstruction.
method Statistical and computational analysis, including minimax lower bounds and exhaustive-search based estimator.
result Established statistical and computational limits for correct recovery of permutation matrix and support set.

This paper models the crowdsourced labeling/classification problem as a sparsely encoded source coding problem, where each query answer, regarded as a code bit, is the XOR of a small number of labels, as source information bits. In this paper we leverage the connections between this problem and well-studied codes with …

2019-06-25abs ↗pdf ↗

In text mining, information retrieval, and machine learning, text documents are commonly represented through variants of sparse Bag of Words (sBoW) vectors (e.g. TF-IDF). Although simple and intuitive, sBoW style representations suffer from their inherent over-sparsity and fail to capture word-level synonymy and polyse…

2013-01-28abs ↗pdf ↗

Zero-shot learning (ZSL) is a framework to classify images belonging to unseen classes based on solely semantic information about these unseen classes. In this paper, we propose a new ZSL algorithm using coupled dictionary learning. The core idea is that the visual features and the semantic attributes of an image can s…

2019-06-10abs ↗pdf ↗

Study improves error bounds for sparse regression with heavy-tailed covariates.

problem Estimating sparse coefficients in linear regression with heavy-tailed covariates.
method Employed an 1\ell_1-penalized Huber regression method.
result Error bound identical to Gaussian case for LL-subexponential covariates.

Screening is an effective technique for speeding up the training process of a sparse learning model by removing the features that are guaranteed to be inactive the process. In this paper, we present a efficient screening technique for sparse support vector machine based on variational inequality. The technique is both …

2013-10-30abs ↗pdf ↗