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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.

169,341 papers · 148 categories

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1122 · May 201719922001200920182026
29 results for Earth-Mover

Quantum Earth Mover's distance improves stability and efficiency in quantum learning.

problem Quantum learning's loss landscapes often lead to poor local minima and gradients.
method Introduced the quantum Earth Mover's (EM) distance and proposed a quantum Wasserstein generative adversarial network (qWGAN).
result The quantum EM distance makes quantum learning more stable and efficient.

Study shows various pixel p-norm measures do not match human perception of adversarial attacks.

problem Understanding human perception of adversarial attacks on image classification systems.
method Performed a behavioral study comparing different p-norm measures and alternative metrics.
result Human perception of adversarial attacks does not align with pixel p-norm measures and other metrics.

A new method for graph node embeddings by discriminating similarity distributions.

problem Unsupervised learning of node embeddings in graphs.
method Maximizing the earth mover distance between distributions of similarities of similar and dissimilar nodes.
result Generates embeddings with state-of-the-art performance in link prediction.

PMD measures user distances using optimal transportation, improving recommendation accuracy.

problem Sparse data and lack of co-rated items in collaborative filtering.
method PMD is an Earth Mover's Distance-based user distance measure that utilizes all ratings.
result PMD achieves superior recommendation accuracy, especially in sparse data scenarios.

Federated learning struggles with non-IID data, but a strategy improves model accuracy.

problem Federated learning accuracy drops significantly with non-IID data.
method Identified weight divergence as the cause, quantified by EMD, and proposed a solution of sharing a subset of globally shared data.
result Accuracy can be increased by 30% for CIFAR-10 with only 5% globally shared data.

Direct parallel algorithm for optimal transport with optimal runtime.

problem Computing the Wasserstein distance between two distributions efficiently.
method Primal-dual extragradient method for first-order iterations.
result Solves optimal transport to additive ε with O(1/ε) parallel depth.

Estimates population parameters from limited trials per individual.

problem Estimating parameters from Bernoulli trials with limited data per individual.
method Maximum Likelihood Estimation (MLE) for optimally estimating the underlying distribution.
result MLE achieves optimal error bounds of O(1t)\mathcal{O}(\frac{1}{t}) for t<clogNt < c\log{N} and O(1tlogN)\mathcal{O}(\frac{1}{\sqrt{t\log N}}) for larger tt.

Method selects optimal source domain for better cross-domain sentiment classification.

problem Improving sentiment classification on unseen domains with limited labeled data.
method Predictive measure based on distance functions between source and target domains.
result Significant improvement in cross-domain classification error compared to random selection.

This paper analyzes and improves the effectiveness of BN techniques in controlling Internal Covariate Shift.

problem The effectiveness of BN techniques in reducing Internal Covariate Shift (ICS) is limited, especially for high-dimensional outputs and noise.
method The paper introduces a measure for ICS using the Earth Mover (EM) distance, derives bounds for this measure, and proposes a unitization algorithm to further bound ICS.
result The unitization algorithm effectively bounds ICS, especially for low-dimensional outputs and small noise, and can be tuned to control ICS.

Covariance and histogram image descriptors provide an effective way to capture information about images. Both excel when used in combination with special purpose distance metrics. For covariance descriptors these metrics measure the distance along the non-Euclidean Riemannian manifold of symmetric positive definite mat…

2014-12-04abs ↗pdf ↗

Bayesian optimization with Gaussian processes speeds up searches for stationary points.

problem Accelerating searches for stationary points on potential energy surfaces.
method Unified Bayesian optimization view using Gaussian process regression with derivative observations, inverse-distance kernels, and active learning.
result Surrogates can reduce the number of expensive electronic structure evaluations by an order of magnitude.

This paper generalizes Sinkhorn algorithm for unbalanced optimal transport.

problem Handling distributions with different total mass and robustness to outliers.
method Alternates between standard Sinkhorn updates and pointwise application of a contractive function.
result Defines Sinkhorn divergences that are differentiable, positive, definite, convex, and robust.

Defense against Wasserstein adversarial attacks using randomized smoothing.

problem Certified robustness against Wasserstein adversarial attacks.
method Randomized smoothing applied to the space of flows between images, bounding Wasserstein distance by L_1 distance.
result Significantly improved accuracy under Wasserstein adversarial attacks compared to unprotected models.

Clust-PSI-PFL uses PSI to improve accuracy and fairness in federated learning.

problem Non-IID data biases federated learning performance.
method Clust-PSI-PFL uses clustering and PSI to form homogeneous groups of clients.
result Clust-PSI-PFL delivers up to 18% higher global accuracy and improves client fairness.

New graph kernel scales well with graph size and number, achieving state-of-the-art performance.

problem Graph kernels lose structure information when representing graphs.
method Proposes a positive-definite global alignment graph kernel using random features and random graph embeddings.
result Achieves quasi-linear scalability with respect to graph size and number.

This paper speeds up WMD computation for multiple queries efficiently.

problem Efficiently computing the semantic dissimilarity between text documents.
method Adapting the Sinkhorn-Knopp algorithm to compute WMD of one document against many targets in parallel.
result 67x speedup on 96 cores compared to sequential and naive parallel methods.