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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.

168,742 papers · 148 categories

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6501,2991,9492,598 · Jun 202019922001200920172026
48 results for method of auxiliary coordinates

Develops DP-SCD for stochastic coordinate descent, making it differentially private.

problem Privacy leak in auxiliary information during stochastic coordinate descent training.
method Develops DP-SCD, leveraging independent noise addition and decoupling/parallelizing coordinate updates.
result Demonstrates competitive performance against DP-SGD with less tuning.

A new DP method for deep learning with faster convergence and better privacy.

problem Challenges in differentially private training of deep neural networks.
method Method of auxiliary coordinates with perturbed Taylor expansion for privacy.
result Empirically shows decent trained model quality with modest privacy budget.

In science and engineering, intelligent processing of complex signals such as images, sound or language is often performed by a parameterized hierarchy of nonlinear processing layers, sometimes biologically inspired. Hierarchical systems (or, more generally, nested systems) offer a way to generate complex mappings usin…

2012-12-24abs ↗pdf ↗

New method speeds up inference for non-conjugate Gaussian processes.

problem Inference for non-conjugate Gaussian processes is slow and unreliable.
method Automated augmented conjugate inference method that constructs auxiliary variables to make the model conditionally conjugate.
result Our method is up to two orders of magnitude faster and more robust than existing methods.

In supervised binary hashing, one wants to learn a function that maps a high-dimensional feature vector to a vector of binary codes, for application to fast image retrieval. This typically results in a difficult optimization problem, nonconvex and nonsmooth, because of the discrete variables involved. Much work has sim…

2015-01-21abs ↗pdf ↗

New method uses correlated auxiliary feedback to reduce regret in parameterized bandits.

problem Reducing regret in parameterized bandits with correlated auxiliary feedback.
method Develops a reward estimator using auxiliary feedback with tight confidence bounds.
result Shows significant reduction in regret compared to standard methods.

Aux-NAS uses auxiliary labels to improve primary task performance without extra inference cost.

problem Improving primary task performance using auxiliary labels without increasing inference cost.
method Architecture-based approach with a flexible asymmetric structure for primary and auxiliary tasks, using Neural Architecture Search (NAS) to evolve networks with only primary-to-auxiliary connections.
result Achieves improved performance on multiple tasks without increasing inference cost.

Learning with auxiliary tasks can improve the ability of a primary task to generalise. However, this comes at the cost of manually labelling auxiliary data. We propose a new method which automatically learns appropriate labels for an auxiliary task, such that any supervised learning task can be improved without requiri…

2019-01-25abs ↗pdf ↗

Proposes a method to improve graph neural networks on heterogeneous graphs using meta-paths.

problem Improving graph neural networks on heterogeneous graphs with auxiliary tasks.
method Self-supervised auxiliary learning with meta-paths for heterogeneous graphs.
result Consistently improves link prediction and node classification on heterogeneous graphs.

Pursuit-evasion is a multi-agent sequential decision problem wherein a group of agents known as pursuers coordinate their traversal of a spatial domain to locate an agent trying to evade them. Pursuit evasion problems arise in a number of import application domains including defense and route planning. Learning to opti…

2018-11-11abs ↗pdf ↗

AuxiLearn combines auxiliary tasks into a single loss function.

problem Improving neural network performance on a main task using auxiliary tasks.
method Implicit differentiation to learn a network that combines auxiliary tasks into a single coherent objective function.
result AuxiLearn consistently outperforms competing methods in various tasks and domains.

A method for constructing tight prediction intervals for multiple numerical outputs.

problem Constructing tight prediction intervals for multiple related numerical outputs.
method A novel coordinate-wise standardization procedure that makes residuals comparable across output dimensions, estimating suitable scaling parameters using calibration data.
result The method produces tighter prediction intervals than existing baselines while maintaining valid simultaneous coverage.

Researchers identify valid auxiliary functions for extreme value distributions and their max-domains of attraction.

problem Characterize valid auxiliary functions for extreme value distributions and their max-domains of attraction.
method Introduced 'universal' auxiliary functions valid for both VR and vMR representations, identified sets of valid auxiliary functions, and proposed a method for finding appropriate auxiliary functions.
result Characterized valid auxiliary functions for both VR and vMR representations for the entire MDA distribution families.

MFAI uses gradient boosted trees to leverage auxiliary info for scalable Bayesian matrix factorization.

problem Matrix factorization struggles with poor data quality, especially high sparsity and low SNR.
method Integrates gradient boosted trees into probabilistic matrix factorization framework.
result MFAI effectively leverages auxiliary information, improving model performance.

NeurT-FDR controls FDR by incorporating auxiliary covariates in deep learning.

problem Controlling FDR in complex large-scale problems with indirect relations among covariates.
method NeurT-FDR uses a deep Black-Box framework that parametrizes test-level covariates as a neural network and adjusts auxiliary covariates through a regression framework.
result NeurT-FDR makes substantially more discoveries in real datasets compared to competitive baselines.

ScoreFusion fuses multiple diffusion models to enhance generative modeling of a target population.

problem Enhancing generative modeling of a target population with limited data.
method ScoreFusion uses KL barycenters of auxiliary populations and recasts the learning problem as score matching in denoising diffusion.
result ScoreFusion achieves a dimension-free sample complexity bound in total variation distance.

An attractive approach for fast search in image databases is binary hashing, where each high-dimensional, real-valued image is mapped onto a low-dimensional, binary vector and the search is done in this binary space. Finding the optimal hash function is difficult because it involves binary constraints, and most approac…

2015-01-05abs ↗pdf ↗

In intractable, undirected graphical models, an intuitive way of creating structured mean field approximations is to select an acyclic tractable subgraph. We show that the hardness of computing the objective function and gradient of the mean field objective qualitatively depends on a simple graph property. If the tract…

2012-05-09abs ↗pdf ↗

Identifying coordinate transformations that make strongly nonlinear dynamics approximately linear is a central challenge in modern dynamical systems. These transformations have the potential to enable prediction, estimation, and control of nonlinear systems using standard linear theory. The Koopman operator has emerged…

2017-12-27abs ↗pdf ↗

Proposes a Thompson sampling algorithm for multi-objective contextual bandit problems with auxiliary constraints.

problem Real-world applications with multiple competing objectives and auxiliary constraints.
method Thompson sampling algorithm for multi-outcome contextual bandit problems with auxiliary constraints.
result Empirically evaluated and applied to a real-world video transcoding problem.

Perry uses auxiliary data to estimate RL policy values with confidence intervals.

problem Leveraging auxiliary datasets for off-policy evaluation with uncertainty quantification.
method Two methods for constructing valid confidence intervals for OPE with data augmentation.
result Methods consistently produce confidence intervals covering ground truth policy values.

Improves deep learning models by blending gradients from training loss and auxiliary objective.

problem Minimizing a single training loss while encouraging desirable model properties.
method Solves a bilevel optimization problem by combining training loss gradients and orthogonal projections of auxiliary gradients.
result Bloop method leads to better performance than other gradient surgery methods without EMA.

Dimensionality reduction (DR) is often used as a preprocessing step in classification, but usually one first fixes the DR mapping, possibly using label information, and then learns a classifier (a filter approach). Best performance would be obtained by optimizing the classification error jointly over DR mapping and cla…

2014-05-26abs ↗pdf ↗

Constructs metrics with Q-curvature on manifolds with singularities.

problem Positive singular Q-curvature problem on compact manifolds with punctures.
method One-parameter family solutions, perturbation methods, gluing techniques, linearized operator mapping properties.
result One-parameter family of solutions constructed for positive Q-curvature.

Extends Wigner's representation to study super hyperbolic geometry.

problem Understanding geometry in super hyperbolic three-space.
method Extended Wigner's representation of the Lorentz group to OSp_C(1|2) and applied to Minkowski (3,1|4)-dimensional super space.
result Proof of divergence of the volume of a typical ideal tetrahedron in super hyperbolic three-space.

A new method solves complex control problems with random coefficients.

problem Solving LQ McKean-Vlasov control problems with random coefficients.
method Decomposes the problem into two decoupled stochastic optimal control problems.
result The sum of optimal controls of auxiliary problems equals the original problem's optimal control.

New algorithm reduces learning regret in multi-agent systems with unknown dynamics.

problem Challenges in decentralized learning due to unknown dynamics and lack of communication.
method Proposed MARL algorithm for two-agent LQ systems with unknown dynamics and one-directional communication.
result Achieved O(T)O(\sqrt{T}) regret bound for multi-agent LQ systems with certain communication patterns.

Deep learning method solves American options with free boundary using Landau transformation.

problem Solving American options with a free boundary using deep learning.
method Landau transformation, dual solution framework, auxiliary function, feed forward deep neural network (DNN).
result Deep learning method efficiently prices options with early exercise features.

We propose a new optimization method for training feed-forward neural networks. By rewriting the activation function as an equivalent proximal operator, we approximate a feed-forward neural network by adding the proximal operators to the objective function as penalties, hence we call the lifted proximal operator machin…

2018-11-05abs ↗pdf ↗

A method corrects bias in estimating a high-dimensional classification rule using auxiliary outcomes.

problem Bias in estimating a high-dimensional classification rule using only one outcome.
method Robust transfer learning approach combining MTL and calibration steps.
result Final estimator achieves lower error than using only the target outcome.

LRSAO uses RL to dynamically select and unlearn auxiliary objectives for EA optimization.

problem Optimizing complex landscapes with evolutionary algorithms.
method Local Reinforcement Learning (RL) to dynamically select and unlearn auxiliary objectives.
result Improved optimization complexity from O(n2log(n)/)O(n^2 \log(n) / \ell) to Θ(n2/2+nlog(n))Θ(n^2 / \ell^2 + n \log(n)).

In this paper we study the Weil-Petersson geometry of Mg,n\overline{\mathcal{M}_{g,n}}, the compactified moduli space of Riemann surfaces with genus g and n marked points. The main goal of this paper is to understand the growth of the diameter of Mg,n\overline{\mathcal{M}_{g,n}} as a function of gg and nn. We show that t…

2010-04-18abs ↗pdf ↗

A method for camera calibration using heatmap regression for fisheye images.

problem Accurate and robust camera angle estimation from fisheye images in the Manhattan world.
method Heatmap regression to detect directions of labeled image coordinates, simultaneous rotation and fisheye distortion recovery.
result Our method outperforms conventional methods on large-scale datasets and with off-the-shelf cameras.

In-N-Out improves model robustness to out-of-distribution data.

problem Learning robust models with few in-distribution labeled examples.
method Pre-training with auxiliary information and self-training with pseudolabels.
result In-N-Out outperforms auxiliary inputs or outputs alone on both in-distribution and OOD error.