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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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104208312416 · Jun 202019922001200920172026
48 results for domain validity

This paper improves model selection with cross-validation using domain knowledge.

problem Improving model selection with cross-validation risk estimation.
method Establishes distribution-free deviation bounds using VC dimension, formalizes Learning Spaces based on domain knowledge.
result Enhanced generalization through selection of candidate models based on domain knowledge.

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.

This paper identifies a problem with the usual procedure for L2-regularization parameter estimation in a domain adaptation setting. In such a setting, there are differences between the distributions generating the training data (source domain) and the test data (target domain). The usual cross-validation procedure requ…

2016-07-31abs ↗pdf ↗

Study reveals XAI methods fail in neuroimaging, suggesting domain-specific adaptation.

problem Systematic failures of XAI methods in neuroimaging applications.
method Systematic comparison of XAI methods on 45,000 structural brain MRIs using a novel validation framework.
result Two widely used XAI methods (GradCAM and Layer-wise Relevance Propagation) fail to accurately explain neuroimaging data.

A new IL framework estimates invariant predictors with single domain data.

problem Deep networks inherit spurious correlations and fail on unseen domains.
method Assumes multiple labeled domains for higher-level tasks, uses single domain for target task, employs cross-validation for hyperparameter selection.
result Empirically demonstrates effectiveness and correctness of hyperparameter selection.

SKADA-bench evaluates unsupervised DA methods across diverse modalities.

problem Evaluating unsupervised DA methods on diverse modalities with realistic validation.
method Nested cross-validation and unsupervised model selection scores.
result Highlights the importance of realistic validation and provides practical guidance.

We define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and examine regularity properties of these operators' domains and form domains. We obtain results valid for general Lipschitz domains, and stron…

2004-08-31abs ↗pdf ↗

The success of generative modeling in continuous domains has led to a surge of interest in generating discrete data such as molecules, source code, and graphs. However, construction histories for these discrete objects are typically not unique and so generative models must reason about intractably large spaces in order…

2019-07-18abs ↗pdf ↗

Decodes neural activity to assess latent states in real-world driving tasks.

problem Understanding latent states during complex tasks in natural settings.
method Domain-generalized models trained on controlled lab paradigms applied to ecologically valid driving tasks.
result Changes in neural activity correlate with changes in behavior and task performance.

In this paper, we show that the convex domains of the hyperbolic space which are almost extremal for the Faber-Krahn or the Payne-Polya-Weinberger inequalities are close to geodesic balls. Our proof is also valid in other space forms and allows us to recover known results in Euclidean space and on the sphere.

2006-04-26abs ↗pdf ↗

Multi-domain learning (MDL) aims at obtaining a model with minimal average risk across multiple domains. Our empirical motivation is automated microscopy data, where cultured cells are imaged after being exposed to known and unknown chemical perturbations, and each dataset displays significant experimental bias. This p…

2019-03-21abs ↗pdf ↗

Method aggregates models with different hyper-parameters to adapt to target domain.

problem Choosing hyper-parameters for unsupervised domain adaptation.
method Linear aggregation of models with different hyper-parameters using weighted least squares for vector-valued functions.
result The target error is asymptotically not worse than twice the error of the optimal aggregation.

Several methods were recently proposed for the task of translating images between domains without prior knowledge in the form of correspondences. The existing methods apply adversarial learning to ensure that the distribution of the mapped source domain is indistinguishable from the target domain, which suffers from kn…

2018-06-03abs ↗pdf ↗

New framework assesses extreme errors in machine learning models.

problem Current validation methods fail to quantify extreme errors in high-stakes domains.
method Uses Extreme Value Theory (EVT) to estimate worst-case failures.
result Establishes EVT as a fundamental tool for assessing model reliability.

New meta-learning method improves domain generalization by balancing parameters closer to domain centroids.

problem Improving domain generalization by reducing overfitting to specific domains.
method Arithmetic meta-learning with arithmetic-weighted gradients to balance parameters closer to domain centroids.
result Experimental validation of improved domain generalization performance.

New method uses limited labeled data and multiple starts to adapt models across domains.

problem Accurate predictions in target domain with few labeled data.
method Fine-tuning from multiple adaptive starts, extending UDA methods.
result Minimax-optimal target performance with limited labeled target data.

It is shown that most of the well-known basic results for Sobolev-Slobodeckii and Bessel potential spaces, known to hold on bounded smooth domains in Rn\mathbb{R}^n, continue to be valid on a wide class of Riemannian manifolds with singularities and boundary, provided suitable weights, which reflect the nature of the s…

2011-06-10abs ↗pdf ↗

Interventional domain adaptation improves feature transferability by removing spurious correlations.

problem Improper feature transferability due to spurious correlations in domain adaptation.
method Intervention strategy using unlabeled target data to generate counterfactual features and train discriminability invariance.
result Consistent performance improvements over state-of-the-art approaches in various domain adaptation tasks.

Optimal inequalities found between Riemannian and Hilbert metrics in convex projective domains.

problem Finding optimal bounds between Riemannian and Hilbert metrics in convex projective domains.
method Optimal control techniques applied to Riemannian metrics induced by centro-affine hypersurface immersions.
result Optimal inequalities between Riemannian and Hilbert metrics for a class of convex projective domains.

We investigate the properties of the Cheeger sets of rotationally invariant, bounded domains ΩRnΩ\subset \mathbb{R}^n. For a rotationally invariant Cheeger set CC, the free boundary CΩ\partial C \cap Ω consists of pieces of Delaunay surfaces, which are rotationally invariant surfaces of constant mean curvature. We show…

2019-07-24abs ↗pdf ↗

Paper proposes MDAT to stabilize domain alignment in label-scarce settings.

problem Stable and comprehensive domain alignment in label-scarce settings.
method Max-margin Domain-Adversarial Training (MDAT) with Adversarial Reconstruction Network (ARN).
result MDAT stabilizes gradient reversing and achieves strong robustness to hyper-parameters.

New method for valid prediction sets in high-dimensional covariate shifts.

problem Valid prediction sets in high-dimensional covariate shifts.
method Likelihood-ratio regularized quantile regression (LR-QR) algorithm.
result LR-QR constructs valid prediction sets with desired coverage in target domain.

In this work, we connect two distinct concepts for unsupervised domain adaptation: feature distribution alignment between domains by utilizing the task-specific decision boundary and the Wasserstein metric. Our proposed sliced Wasserstein discrepancy (SWD) is designed to capture the natural notion of dissimilarity betw…

2019-03-10abs ↗pdf ↗

I prove three classification results about harmonic morphisms whose fibers have dimension one. All are valid when the domain is at least of dimension 4. (The character of this overdetermined problem is very different when the dimension of the domain is 3 or less.) The first result is a local classification for such har…

1997-01-03abs ↗pdf ↗

Paper extends SI method for detecting CPs in complex systems' frequency domain.

problem Identifying change points in complex systems' frequency domain.
method Extends SI framework to frequency domain using DFT properties and develops valid p-values.
result Reliable detection of genuine CPs with strong statistical guarantees.

Proposes MEDM to balance entropy minimization and diversity maximization for better domain adaptation.

problem Trivial solutions in entropy minimization for unsupervised domain adaptation.
method Introduces diversity maximization to balance with entropy minimization, controlled by deep embedded validation.
result MEDM outperforms state-of-the-art methods on four domain adaptation datasets.

DGSAM improves domain generalization by minimizing individual sharpness.

problem Improving domain generalization models that perform well on unseen target domains.
method Shifts DG paradigm toward minimizing individual sharpness across source domains.
result DGSAM reduces performance variance across domains with less computational overhead.

Paper proposes SOTL framework for improving transfer learning accuracy and efficiency.

problem Statistical bias and computational efficiency in multi-source domain adaptation.
method Sparse Optimization for Transfer Learning (SOTL) with L0-regularization.
result SOTL significantly improves estimation accuracy and computational speed, especially under adversarial conditions.

Study shows training duration affects model merging quality, suggesting joint selection of duration and method.

problem Impact of expert training duration on model merging quality for large language models (LLMs).
method Systematically fine-tuned experts on five domains across three model sizes, evaluated five merging methods at each duration.
result Training duration and merging method should be chosen jointly, not independently.