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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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82165247329 · Jun 202019922001200920172026
48 results for Sparse Costs

DFR reduces the computational cost of sparse-group lasso and adaptive sparse-group lasso.

problem Sparse-group lasso's computational expense and need for tuning.
method Dual Feature Reduction (DFR) using strong screening rules and dual norms.
result DFR drastically reduces computational cost without affecting solution optimality.

Sparsity-constrained optimization has wide applicability in machine learning, statistics, and signal processing problems such as feature selection and compressive Sensing. A vast body of work has studied the sparsity-constrained optimization from theoretical, algorithmic, and application aspects in the context of spars…

2012-03-25abs ↗pdf ↗

Novel confidence intervals improve convergence rates for sparse kernel-based models.

problem High computational cost in kernel-based learning models.
method Novel confidence intervals for Nyström method and sparse variational Gaussian process approximation.
result Improved performance bounds in regression and optimization problems.

Proposes a robust and sparse portfolio selection model to reduce estimation errors and transaction costs.

problem Reduces impact of estimation errors and fixed transaction costs in portfolio selection.
method Develops an efficient algorithm to solve a mixed integer problem with an ellipsoidal uncertainty set.
result Proves the convergence of the algorithm to at least a local minimizer with a locally linear convergence rate.

We consider the minimum cost intervention design problem: Given the essential graph of a causal graph and a cost to intervene on a variable, identify the set of interventions with minimum total cost that can learn any causal graph with the given essential graph. We first show that this problem is NP-hard. We then prove…

2018-10-28abs ↗pdf ↗

Origin-destination (OD) matrices are often used in urban planning, where a city is partitioned into regions and an element (i, j) in an OD matrix records the cost (e.g., travel time, fuel consumption, or travel speed) from region i to region j. In this paper, we partition a day into multiple intervals, e.g., 96 15-min …

2018-11-13abs ↗pdf ↗

In presence of sparse noise we propose kernel regression for predicting output vectors which are smooth over a given graph. Sparse noise models the training outputs being corrupted either with missing samples or large perturbations. The presence of sparse noise is handled using appropriate use of 1\ell_1-norm along-wi…

2018-11-06abs ↗pdf ↗

This paper addresses the problem of sparsity penalized least squares for applications in sparse signal processing, e.g. sparse deconvolution. This paper aims to induce sparsity more strongly than L1 norm regularization, while avoiding non-convex optimization. For this purpose, this paper describes the design and use of…

2013-02-22abs ↗pdf ↗

The nearest-centroid classifier is a simple linear-time classifier based on computing the centroids of the data classes in the training phase, and then assigning a new datum to the class corresponding to its nearest centroid. Thanks to its very low computational cost, the nearest-centroid classifier is still widely use…

2019-11-17abs ↗pdf ↗

New methods reduce computational cost for Gaussian Markov Random Fields with sparse constraints.

problem Inference and simulation of GMRFs are computationally prohibitive with many constraints.
method Proposes a basis transformation into blocks of constrained and non-constrained subspaces.
result Significantly outperforms existing alternatives in computational cost.

New research challenges the idea that counterfactual explanations should be sparse.

problem Predictive multiplicity leads to multiple models giving almost equal solutions.
method Derive a general upper bound for counterfactual costs under multiplicity and compare sparse vs. data support approaches.
result Data support methods are more robust to multiplicity but have higher counterfactual costs.

SnAp approximates RTRL for online training of sparse recurrent networks.

problem Training large sparse recurrent networks online is computationally expensive.
method Sparse n-step Approximation (SnAp) of the RTRL influence matrix.
result SnAp with n=2 remains tractable for highly sparse networks and outperforms backpropagation through time.

SSVI efficiently trains sparse Bayesian neural networks with minimal compression and performance loss.

problem Efficiently training Bayesian neural networks with uncertainty quantification.
method SSVI optimizes a sparse subspace basis selection and its parameters alternately, guided by weight distribution statistics.
result SSVI achieves significant compression (10-20x model size reduction) with minimal performance drop (under 3%) and FLOPs reduction (up to 20x) compared to dense Variational Inference.

Proposes an efficient method for sparse index tracking with 0\ell_0-norm constraints.

problem Constructing a sparse portfolio to track a financial index.
method Formulates a new problem using 0\ell_0-norm constraints, develops an efficient algorithm based on primal-dual splitting.
result Demonstrates effectiveness through experiments on S&P500 and Russell3000 datasets.

We propose an inference method to estimate sparse interactions and biases according to Boltzmann machine learning. The basis of this method is L1L_1 regularization, which is often used in compressed sensing, a technique for reconstructing sparse input signals from undersampled outputs. L1L_1 regularization impedes the …

2015-03-11abs ↗pdf ↗

Efficient ANN search for sparse embeddings in ads targeting.

problem Efficiently searching near neighbors in sparse data for applications like ads targeting.
method Graph-based ANN algorithms (HNSW, chi-square two-tower model, Sign Cauchy Projections).
result Sparse embeddings and ANN algorithms improve efficiency in EBR applications.

Incorporating sparsity priors in learning tasks can give rise to simple, and interpretable models for complex high dimensional data. Sparse models have found widespread use in structure discovery, recovering data from corruptions, and a variety of large scale unsupervised and supervised learning problems. Assuming the …

2014-03-26abs ↗pdf ↗

A novel method for learning Bayesian network structures from decentralized data, balancing privacy and efficiency.

problem Privacy and communication costs in learning Bayesian network structures from decentralized data.
method Fed-Sparse-BNSL, combining differential privacy with greedy updates targeting only a few relevant edges per participant.
result Achieves utility close to non-private baselines while offering stronger privacy and communication efficiency.

High dimensional sparse learning has imposed a great computational challenge to large scale data analysis. In this paper, we are interested in a broad class of sparse learning approaches formulated as linear programs parametrized by a {\em regularization factor}, and solve them by the parametric simplex method (PSM). O…

2017-04-04abs ↗pdf ↗

The sizes of deep neural networks (DNNs) are rapidly outgrowing the capacity of hardware to store and train them. Research over the past few decades has explored the prospect of sparsifying DNNs before, during, and after training by pruning edges from the underlying topology. The resulting neural network is known as a …

2018-09-14abs ↗pdf ↗

A fast MCMC sampler for sparse Bayesian inference.

problem Sparse Bayesian inference problems with high computational cost.
method Asynchronous Gibbs sampler extended with data sub-sampling.
result The Markov chain admits an invariant distribution that recovers the main signal with high probability.

Recurrent neural networks (RNNs) are omnipresent in sequence modeling tasks. Practical models usually consist of several layers of hundreds or thousands of neurons which are fully connected. This places a heavy computational and memory burden on hardware, restricting adoption in practical low-cost and low-power devices…

2019-05-29abs ↗pdf ↗

Paper develops a new kernel expansion method using entropic optimal features for sparse and efficient kernel approximation.

problem Efficient kernel approximation with reduced computational cost and feature dissimilarity.
method Develops a novel optimal design maximizing entropy among kernel features, resulting in a sparse kernel expansion.
result Achieves optimal statistical accuracy with only $O(N^{ rac{1}{4}})$ features, significantly reducing time and space costs.

New method reduces computational cost of Gaussian process regression.

problem High computational cost of exact Gaussian process inference for large datasets.
method Sparse variational inference with MNM \ll N inducing variables.
result KL-divergence between approximate and exact posterior can be made arbitrarily small.

New algorithms minimize regret in SSP with optimal sparse updates.

problem Minimizing regret in Stochastic Shortest Path models.
method Implicit finite-horizon approximation for analysis, model-free and model-based algorithms developed.
result Minimax optimal regret for both model-free and model-based algorithms.

SmartDeal reduces energy and storage costs for deep neural networks.

problem Heavy parameterization of deep neural networks leads to inefficient use of DRAM.
method SmartDeal decomposes weights into a small basis matrix and a structurally sparse coefficient matrix, quantized to power-of-2.
result Up to 2.44x energy efficiency improvement in inference and 10.56x reduction in training energy.

Sparse GPs improved with nearest neighbor inducing variables.

problem Sparse GPs struggle with large numbers of inducing variables.
method Introduced a hierarchical prior for inducing variables and used nearest neighbor information for sparsity.
result Significant computational gains compared to standard sparse GPs.

The sizes of deep neural networks (DNNs) are rapidly outgrowing the capacity of hardware to store and train them. Research over the past few decades has explored the prospect of sparsifying DNNs before, during, and after training by pruning edges from the underlying topology. The resulting neural network is known as a …

2019-04-30abs ↗pdf ↗

New algorithm reduces high-dimensional data processing costs and achieves true sparsity.

problem High computational costs and difficulty in achieving true sparsity in distributed inference.
method Two-stage distributed best subset selection with oracle property.
result Correctly finds true sparsity pattern and achieves the oracle property.