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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.

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1345 · Nov 201819922001200920172026
48 results for Divide-and-Conquer

This paper analyzes divide-and-conquer estimators for functional linear regression without assuming target function in the RKHS.

problem Functional linear regression without target function in RKHS.
method Integral operator approach to establish upper bounds and prove asymptotic optimality.
result Sharp finite sample upper bounds and asymptotic optimality of divide-and-conquer estimators.

We propose a novel class of Sequential Monte Carlo (SMC) algorithms, appropriate for inference in probabilistic graphical models. This class of algorithms adopts a divide-and-conquer approach based upon an auxiliary tree-structured decomposition of the model of interest, turning the overall inferential task into a coll…

2014-06-19abs ↗pdf ↗

DiCoLa recursively decomposes causal structure learning for latent variables.

problem Learning causal structures in high-dimensional settings with latent variables.
method Recursive decomposition framework for divide-and-conquer causal discovery.
result Theoretical soundness and completeness of DiCoLa framework.

Study risk bounds for distributed ERM with general loss functions and hypothesis spaces.

problem Limited theoretical analysis for distributed ERM with general loss functions and hypothesis spaces.
method Derive tight risk bounds under assumptions on hypothesis space and loss function.
result Developed more general risk bound for distributed ERM without strong convexity restriction.

Paper connects two portfolio methods, HRP and Minimum Variance, revealing their underlying similarity.

problem Inability to universally adopt optimization-based portfolio construction methods.
method Unifies Hierarchical Risk Parity and Minimum Variance approaches.
result Schur complementary allocation reveals the connection between HRP and Minimum Variance.

We improve kernel ridge regression for skewed responses using oversampling and adaptive partitioning.

problem Kernel ridge regression struggles with skewed response variables, leading to poor estimates.
method Combines adaptive partitioning with oversampling to address skewed responses in kernel ridge regression.
result The proposed method yields estimates with smaller risk compared to classical methods under mild conditions.

We present a parallelized bijective graph matching algorithm that leverages seeds and is designed to match very large graphs. Our algorithm combines spectral graph embedding with existing state-of-the-art seeded graph matching procedures. We justify our approach by proving that modestly correlated, large stochastic blo…

2013-10-04abs ↗pdf ↗

Divide-and-conquer framework speeds up black-box inference for large data.

problem Computational intractability of uncertainty quantification for expensive data simulation.
method Divide data into partitions, train on a subset, bootstrap on partitions, combine results.
result Feasibility of estimating max-stable process parameters with tens of thousands of locations.

Divide-and-conquer method speeds sparse factorization for large matrices.

problem Sparse factorization of large matrices for statistical learning.
method Statistical problem formulation, divide-and-conquer approach, stagewise learning.
result Efficient algorithm with lower complexity than existing methods.

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks that are amenable to the principle of divide and conquer, and study what are it…

2016-11-08abs ↗pdf ↗

Study analyzes crypto asset risk exposures using a divide-and-conquer approach.

problem Lack of high-frequency macro-financial proxies for estimating risk.
method Two-stage divide-and-conquer approach: first stage estimates idiosyncratic and market risk, second stage identifies latent economy-wide factors.
result Heterogeneous exposures to idiosyncratic and systematic risk across crypto assets.

For Bayesian computation in big data contexts, the divide-and-conquer MCMC concept splits the whole data set into batches, runs MCMC algorithms separately over each batch to produce samples of parameters, and combines them to produce an approximation of the target distribution. In this article, we embed random forests …

2019-11-21abs ↗pdf ↗

New algorithm groups variables by ancestral relationships to improve causal graph estimation accuracy.

problem Difficulty in estimating causal graphs with small sample sizes relative to variables.
method CAG algorithm groups variables based on ancestral relationships, reducing complexity and improving accuracy.
result CAG outperforms existing methods in estimation accuracy and computation time.

DC-NAS improves neural architecture search by clustering and evaluating sub-networks.

problem Inaccurate evaluation of neural architectures in large search spaces.
method Divide-and-Conquer approach: feature representation, clustering, and evaluation of clusters.
result Achieved 75.1% top-1 accuracy on ImageNet, surpassing state-of-the-art methods.

Paper speeds up Gaussian process inference using Matérn kernels.

problem Efficiently performing Gaussian process inference for large datasets.
method Exact Matérn kernel decomposition into empirical cumulative distribution functions, combined with divide-and-conquer approach.
result The proposed algorithm significantly speeds up Gaussian process inference for low-dimensional problems with hundreds of thousands of data points.

We show how to use Bar-Natan's `divide and conquer' approach to computations to efficiently compute the universal sl(2) dotted foam cohomology groups, even for big knots and links. We also describe a purely topological version of the sl(2) foam theory, in the sense that no dots are needed on foams.

2008-05-30abs ↗pdf ↗

Two new scalable K-means initialization methods proposed for large-scale clustering.

problem Efficient initialization for large-scale clustering problems.
method Divide-and-conquer approach and random projection method for multiple lower-dimensional subspaces.
result The proposed methods outperform state-of-the-art in large-scale clustering tasks.

A new predictive coding algorithm improves machine learning performance.

problem Improving performance of variational inference algorithms in high-dimensional, structured problems.
method Divide-and-Conquer Predictive Coding (DCPC) that respects generative model correlation structure and performs maximum-likelihood updates.
result DCPC achieves better numerical performance and accurate inference in structured generative models.

Dual-T method improves transition matrix estimation in noisy label learning.

problem Large estimation error in noisy class posterior leads to poor transition matrix estimation.
method Introducing an intermediate class to avoid direct estimation of noisy class posterior, factorizing the transition matrix into two easier-to-estimate matrices.
result The dual-T estimator leads to better classification performances.

We reduce a broad class of machine learning problems, usually addressed by EM or sampling, to the problem of finding the kk extremal rays spanning the conical hull of a data point set. These kk "anchors" lead to a global solution and a more interpretable model that can even outperform EM and sampling on generalizatio…

2014-06-22abs ↗pdf ↗

Novel hybrid method for Bayesian network structure learning reduces computational time without sacrificing accuracy.

problem Bayesian network structure learning efficiency and accuracy trade-off.
method Partitioned PC (pPC), pp-value adjacency thresholding (PATH), hybrid greedy initialization (HGI).
result pHGS achieves significant computational reductions compared to the PC algorithm without sacrificing structure learning accuracy.

We present a novel cross-view classification algorithm where the gallery and probe data come from different views. A popular approach to tackle this problem is the multi-view subspace learning (MvSL) that aims to learn a latent subspace shared by multi-view data. Despite promising results obtained on some applications,…

2018-04-19abs ↗pdf ↗

Paper introduces PTL-SI for statistical inference in TL-HDR, controlling FPR.

problem Quantifying statistical significance in TL-HDR with limited data.
method PTL-SI framework for valid pp-values in TL-HDR feature selection.
result Valid pp-values and controlled FPR in TL-HDR feature selection.

We use the divide-and-conquer and scanning algorithms for calculating Khovanov cohomology directly on the Lee- or Bar-Natan deformations of the Khovanov complex to give an alternative way to compute Rasmussen ss-invariants of knots. By disregarding generators away from homological degree 0 we can considerably improve …

2018-11-15abs ↗pdf ↗

Efficient algorithm for Bayesian networks reduces marginal probability distribution computation.

problem Exact computation of marginal probability distribution is NP-hard for categorical variables in Bayesian networks.
method Divide-and-conquer approach exploiting graphical properties of Bayesian networks.
result Novel algorithm outperforms state-of-the-art methods in classification and cancer subtype identification.

Study metric learning from limited preference comparisons, showing how low-dimensional structure can still reveal metric information.

problem Learning metric from limited pairwise preference comparisons.
method Ideal point model, divide-and-conquer approach for low-dimensional structure.
result Metric can be jointly identified even with limited comparisons when items exhibit low-dimensional structure.

The paper develops efficient estimators for semi-parametric binary models in distributed computing.

problem Estimation and inference challenges in large-scale data under non-smooth objective functions.
method Proposes one-shot and multi-round divide-and-conquer estimators with adaptive kernel smoothing to relax constraints and achieve superlinear optimization error.
result Establishes quadratic convergence up to optimal statistical error rate and handles dataset heterogeneity and high-dimensional sparse parameters.