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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.

169,341 papers · 148 categories

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48 results for doubly stochastic factor model

Study identifies current coupons for mortgage-backed securities.

problem Identifying current coupons for Agency backed TBA Mortgage Backed Securities.
method Doubly stochastic factor model with prepayment intensities dependent on current and origination mortgage rates. Solves a degenerate elliptic, non-linear fixed point problem using Schaefer's theorem.
result Existence and explicit approximation of current coupons provided, with numerical examples showing good performance.

The paper improves boundary detection and density estimation on noisy data.

problem Detecting boundary points and estimating density on noisy data from compact manifolds.
method Doubly stochastic scaling of the Gaussian heat kernel via Sinkhorn iterations.
result The new estimates of boundary points and density outperform standard methods, especially under noise.

We propose an efficient method for estimating covariate effects in doubly-stochastic spatial models.

problem Computational demands and restrictive assumptions in existing doubly-stochastic spatial models.
method Penalized regression method for estimating covariate effects in doubly-stochastic point processes.
result Consistency and asymptotic normality of the covariate effect estimates achieved despite model misspecification.

Paper proposes Sinkformers for Transformers with doubly stochastic attention.

problem Improving Transformer models' accuracy in vision and natural language processing.
method Using Sinkhorn's algorithm to make attention matrices doubly stochastic instead of SoftMax normalization.
result Sinkformers enhance model accuracy in vision and natural language processing tasks.

Doubly-stochastic normalization improves robustness to heteroskedastic noise.

problem Robustness to heteroskedastic noise in affinity matrix construction.
method Doubly-stochastic normalization of the Gaussian kernel.
result Doubly-stochastic normalization converges to clean matrix with rate m1/2m^{-1/2} under heteroskedastic noise.

Robustly infers manifold density and geometry under high-dimensional noise.

problem Inaccurate kernel density estimation under high-dimensional noise.
method Doubly stochastic normalization of Gaussian kernel.
result Robust tools for density estimation, noise magnitude estimation, and distance approximation.

Characterizes and examines gradient solitons on doubly warped product manifolds.

problem Understanding gradient solitons on specific manifold structures.
method Characterizations and examinations of various types of gradient solitons on doubly warped product manifolds.
result Effects of gradient solitons on factor manifolds and specific curvature properties of doubly warped products.

The paper analyzes generalization properties of scalable kernel methods.

problem Understanding the generalization of doubly stochastic learning algorithms.
method Theoretical analysis of different variants of doubly stochastic learning algorithms in nonparametric regression.
result Derivation of generalization error convergence results for the algorithms.

Paper optimizes sample selection for top-k arms in stochastic bandits.

problem Identifying the k arms with the largest means in stochastic bandits.
method Developed an elimination-based algorithm with sample complexity matching lower bounds.
result Algorithm strictly dominates state-of-the-art for Best-k-Arm problem.

FDSKL algorithm trains vertically partitioned data with kernels securely and efficiently.

problem Training vertically partitioned data with kernels while maintaining privacy.
method FDSKL algorithm using random features and doubly stochastic gradients for federated learning.
result FDSKL achieves sublinear convergence and guarantees data security.

Geometric approach for unsupervised word embedding alignment.

problem Learning alignment between word embeddings of source and target languages.
method Formulates alignment as domain adaptation on the manifold of doubly stochastic matrices, employing Riemannian conjugate gradient algorithm.
result Empirically outperforms state-of-the-art methods on bilingual lexicon induction tasks.

DSVNP uses global and local latent variables for improved neural process predictions.

problem Limited expressiveness of vanilla neural processes in capturing target-specific local variation.
method Introduces DSVNP combining global and local latent variables for prediction.
result Competitive prediction performance in multi-output regression and uncertainty estimation.

This paper discusses properties of a Doubly Stochastic Poisson Process (DSPP) where the intensity process belongs to a class of affine diffusions. For any intensity process from this class we derive an analytical expression for probability distribution functions of the corresponding DSPP. A specification of our results…

2011-09-13abs ↗pdf ↗

The paper examines conditions for Einstein-like classes in doubly warped product manifolds.

problem Conditions for a factor manifold to be in the same Einstein-like class as the entire doubly warped product manifold.
method Analysis of the Ricci tensor and warping functions.
result Sufficient and necessary conditions for a factor manifold to inherit the Einstein-like class of the entire manifold.

Clustering analysis by nonnegative low-rank approximations has achieved remarkable progress in the past decade. However, most approximation approaches in this direction are still restricted to matrix factorization. We propose a new low-rank learning method to improve the clustering performance, which is beyond matrix f…

2012-06-18abs ↗pdf ↗

The study introduces a new curvature concept for weighted graphs and applies it to warped products.

problem Establishing curvature bounds for doubly warped product graphs.
method Developed a new notion of curvature for weighted graphs and applied it to warped products, establishing bounds in terms of constituent graph curvatures.
result Established curvature bounds for $\left(R_1,R_2 ight)$-doubly warped products of smooth measure spaces.

ADSGD method speeds up model identification in sparse optimization.

problem Implicit model identification in sparse optimization problems.
method Accelerated Doubly Stochastic Gradient Method (ADSGD) for faster explicit model identification.
result ADSGD achieves faster explicit model identification and improved algorithm efficiency.

Efficiently approximates softmax probabilities for large-scale inference.

problem High cost of computing softmax probabilities for large-scale inference.
method Introduces a lower bound on softmax probabilities as a product of pairwise probabilities, scalable through stochastic optimization and subsampling.
result Demonstrates that the new bound has interesting theoretical properties and can be used in classification problems.

New algorithms optimize machine learning with both features and observations distributed across a cluster.

problem Optimizing machine learning with both features and observations distributed across a cluster.
method Proposes two doubly distributed optimization algorithms: one based on distributed dual coordinate ascent, the other on stochastic gradient/coordinate descent hybrid methods.
result Demonstrates the out-performance of a block distributed ADMM method in numerical experiments.

π-GNN learns soft permutations for graph representations, improving graph classification and regression.

problem Limitations of MPNNs in graph neural networks.
method Proposes π-GNN, which learns a soft permutation matrix for each graph, projecting graphs into a common vector space.
result π-GNN achieves performance competitive with state-of-the-art models on graph classification and regression tasks.

Bayesian Neural Networks built block-by-block with uncertainty estimates.

problem Building interpretable and uncertainty-aware neural networks.
method Bayesian Neural Networks (BNNs) constructed using blocks, with doubly stochastic variational inference for posterior approximation.
result Uncertainty estimates provided for Bayesian Neural Networks.

Solves a Dirichlet problem for flat metrics on Riemann surfaces with boundary.

problem Solving a Dirichlet problem for flat hermitian metrics on Hilbert bundles over compact Riemann surfaces with boundary.
method Proves solvability using flat hermitian metrics and factorization results.
result Solves the Dirichlet problem for flat metrics on Riemann surfaces with boundary.

Proposes a new simulator for complex arrival processes.

problem Modeling and simulating complex arrival processes with non-stationary and multi-dimensional rates.
method Integrates Monte Carlo and GANs to model a broad class of arrival processes.
result Consistent and efficient estimation of the simulator using Wasserstein distance.

The general perception is that kernel methods are not scalable, and neural nets are the methods of choice for nonlinear learning problems. Or have we simply not tried hard enough for kernel methods? Here we propose an approach that scales up kernel methods using a novel concept called "doubly stochastic functional grad…

2014-07-21abs ↗pdf ↗

Enhances DGPs with adaptive RKHS Fourier features for better non-stationary pattern modeling.

problem Capturing complex non-stationary patterns in non-linear dynamical systems.
method Integrates ODE-based RKHS Fourier features into DGPs using convolution operations for adaptive amplitude and phase modulation. Uses a doubly stochastic variational inference framework.
result Improved predictive performance across various regression tasks.