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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.

169,051 papers · 148 categories

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158316473631 · Jun 202019922001200920182026
48 results for Adaptive structure

Diffusion models adapt to low-dimensional data regardless of coefficient choices.

problem Understanding how diffusion models adapt to low-dimensional data structures.
method Analysis of diffusion models with flexible coefficient choices.
result Proven that O~(k/ε)\widetilde{O}(k/\varepsilon) iterations suffice for accurate sampling in total variation distance.

Let Ξ\,Ξ\, be the crown domain associated with a non-compact irreducible hermitian symmetric space G/K\,G/K. We give an explicit description of the unique G\,G-invariant adapted hyper-Kähler structure on Ξ\,Ξ, \ i.\,e. \ compatible with the adapted complex structure Jad\,J_{ad}\, and with the G\,G-invariant Kähle…

2017-11-05abs ↗pdf ↗

Learn to automatically plug domain-specific modules into a common network.

problem Learning inflexibility and computational intensiveness in multi-domain learning.
method Neural Architecture Search (NAS) for data-driven adapter plugging and structure design.
result NAS-driven MDL model achieves comparable performance to existing approaches.

CSEAL uses cognitive structure to personalize learning paths.

problem Personalized learning paths based on learners' evolving knowledge levels and item structures.
method CSEAL integrates knowledge levels and item structures using a Markov Decision Process and actor-critic algorithm.
result CSEAL effectively personalizes learning paths, improving learning outcomes.

The paper studies hyperkähler structures and adapted complex structures using the Monge-Ampère equation.

problem Finding hyperkähler structures and adapted complex structures in tangent bundles.
method Analyzing the asymptotic expansion of the Monge-Ampère equation and using gauge transformations.
result Explicit computation of 4th order terms in the asymptotic expansion and equivalence to gauge transformations.

Two new methods improve graph embedding without needing a complete graph structure.

problem Graph autoencoders' performance depends on the adjacency matrix quality.
method BAGE and VBAGE: unsupervised graph embedding via adaptive graph learning.
result The methods expand GAEs' applicability to datasets without graph structure.

This study explores complex structures on Lie algebras from graph perspectives.

problem Existence and characterization of complex structures on 2-step nilpotent Lie algebras.
method Introducing adapted complex structures and analyzing integrability conditions.
result Characterization of graphs that admit abelian adapted complex structures and unique invariant subgraphs.

The Newman-Penrose-Perjes formalism is applied to smooth contact structures on riemannian 3-manifolds. In particular it is shown that a contact 3-manifold admits an adapted riemannian metric if and only if it admits a metric with a divergence-free, constantly twisting, geodesic congruence. The shear of this congruence …

2000-12-05abs ↗pdf ↗

A novel unsupervised domain adaptation method using hierarchical optimal transport.

problem Unsupervised domain adaptation between source and target domains.
method Hierarchical optimal transport, leveraging class labels for structure formation in the source domain and learning probability measures in the target domain.
result The proposed HOT-DA method outperforms state-of-the-art approaches on various datasets.

Proposes DIAL-GNN for joint graph structure and embedding learning.

problem Joint learning of graph structure and embeddings.
method Adapted graph regularization, iterative method for graph structure learning.
result Consistently outperforms state-of-the-art baselines in downstream tasks and computational time.

Paper tackles sparse, unstructured data tensors by optimizing adaptive aggregation granularity.

problem Sparse, unstructured data tensors are hard to analyze.
method Introduces IceBreaker, a greedy algorithm that optimizes adaptive tensor aggregation.
result IceBreaker constructs tensors with high structure quality from various datasets.

Paper proposes an improved domain adaptation technique using class-based information.

problem Adapting classifiers across domains with labeled source and unlabeled target datasets.
method Adversarial discriminator approach informed by class structure in source dataset.
result State-of-the-art results achieved on benchmark datasets.

We study the problem of structured prediction under test-time budget constraints. We propose a novel approach applicable to a wide range of structured prediction problems in computer vision and natural language processing. Our approach seeks to adaptively generate computationally costly features during test-time in ord…

2016-02-28abs ↗pdf ↗

This paper proposes a new method to improve domain adaptation by distinguishing between marginal and dependence structure differences.

problem Existing domain adaptation methods fail to differentiate between marginal and dependence structure differences, leading to suboptimal transferability.
method The paper introduces a new approach that measures and optimizes the differences in internal dependence structure separately from marginals.
result The new method significantly improves transferability and robustness compared to existing benchmarks on real-world datasets.

Study integrability of specific geometric structures on odd Courant algebroids.

problem Characterize integrability of B_n-generalized structures on odd exact Courant algebroids.
method Characterize integrability in terms of existence of adapted generalized connections.
result Describe affine spaces of adapted generalized connections for integrable structures.

Spatial Adapter adds structured spatial representation to frozen predictors.

problem Efficiently adding spatial structure to pre-trained models.
method Structured spatial decomposition and closed-form covariance for residual fields.
result Adapter improves spatial prediction and uncertainty quantification.

Nash integrates covariate-specific side info into sparse regression via neural networks.

problem Sparse linear regression struggles with covariates exhibiting structure or coming from heterogeneous sources.
method Neural Adaptive Shrinkage (Nash) framework that integrates side information into sparse regression via neural networks. Uses split variational empirical Bayes algorithm.
result Nash improves accuracy and adaptability over existing methods in real data experiments.

We consider the problems of detection and localization of a contiguous block of weak activation in a large matrix, from a small number of noisy, possibly adaptive, compressive (linear) measurements. This is closely related to the problem of compressed sensing, where the task is to estimate a sparse vector using a small…

2012-09-15abs ↗pdf ↗

Detects financial fraud schemes in networks using graph structure learning.

problem Identifying financial fraud schemes in complex networks.
method Adapting dictionary learning to network topologies, imposing Laplacian structure on dictionaries.
result Proposed methods effectively represent graph structure information for anomaly detection.

Geometric methods solve sampling, optimisation, inference, and adaptive decision-making.

problem Efficient solutions for sampling, optimisation, inference, and adaptive decision-making.
method Derive algorithms exploiting geometric structures of Hamiltonian systems, Hilbertian subspaces, and information geometry.
result Wide range of geometric theories emerge in these fields, enabling efficient solutions.

Adaptive framework improves nonparametric dimensionality reduction.

problem Optimal hyper-parameter tuning for nonparametric dimensionality reduction.
method Adaptive framework using intrinsic dimension estimator and optimal local neighbourhood sizes.
result Significant improvements in various learning tasks through better low-dimensional visualizations.

Paper proposes a method to efficiently estimate structural breaks in cointegrating regressions.

problem Estimating structural breaks in cointegrating regressions is challenging due to inconsistency of group lasso.
method Adaptive group lasso procedure using a first step group lasso estimation of diverging breakpoint candidates to produce weights for a second estimation.
result The adaptive group lasso estimator delivers consistent parameter changes and oracle properties.

Adapts Bartnik method to Hilbert manifold structure for vacuum constraint equations.

problem Vacuum constraint equations on compact manifolds of any dimension ≥ 3.
method Adapts Bartnik method to provide Hilbert manifold structure.
result Fibers of scalar curvature and constraint operator are Hilbert submanifolds.

Adaptive graph convolution improves attributed graph clustering performance.

problem Joint modeling of graph structures and node attributes is challenging.
method Adaptive graph convolution that captures global cluster structure and selects appropriate order for different graphs.
result Empirical results show our method compares favorably with state-of-the-art methods.

Paper proposes SCQ and P-TAMS for structured OOD testing in high-stakes ML.

problem Difficulty of incorporating auxiliary information in traditional conformal methods.
method Structure-adaptive conformal q-value (SCQ) and pseudo-score-guided transductive automated model selection (P-TAMS).
result Unified framework controls false discovery rate and improves power across diverse settings.

Meta-learn causal structures based on adaptation speed to sparse distributional changes.

problem Learning cause-effect relationships from sparse distributional changes.
method Meta-learn causal structures based on adaptation speed to modified distributions.
result Sparse expected gradients and lower effective degrees of freedom lead to faster adaptation.

Flag manifolds are in general not symmetric spaces. But they are provided with a structure of Z2k\mathbb{Z}_2^k-symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. We detail for the flag manifold SO(5)/SO(2)×SO(2)×SO(1)SO(5)/SO(2)\times SO(2) \times SO(1) what are the conditions…

2012-04-11abs ↗pdf ↗

Paper proposes a new method to optimize robot body structure and control policy.

problem Optimizing robot body structure and control policy in a coupled manner.
method Revisits co-design problem as a Stackelberg game, incorporating control adaptation dynamics.
result Stackelberg PPO outperforms standard PPO in stability and performance.

A new method makes adversarial domain adaptation aware of class relationships.

problem Ignoring inter-class semantic relationships in domain adaptation.
method RADA algorithm that aligns inter-class dependencies learned from domain discriminator with those from label predictor.
result Improves performance on benchmark datasets by incorporating class relationships.

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.

In this paper we formally analyse the use of sparse filtering algorithms to perform covariate shift adaptation. We provide a theoretical analysis of sparse filtering by evaluating the conditions required to perform covariate shift adaptation. We prove that sparse filtering can perform adaptation only if the conditional…

2016-07-22abs ↗pdf ↗

Modular neural causal models outperform other models in generalization and adaptation.

problem Robust out-of-distribution generalization and fast adaptation in machine learning.
method Factorizing data generating process into modules using only causal parents as predictors.
result Modular neural causal models offer robust generalization and fast adaptation, especially in low data regimes.

Solvable structures, likewise solvable algebras of local symmetries, can be used to integrate scalar ODEs by quadratures. Solvable structures, however, are particularly suitable for the integration of ODEs with a lack of local symmetries. In fact, under regularity assumptions, any given ODE always admits solvable struc…

2008-07-21abs ↗pdf ↗

Optimal Transport has recently gained interest in machine learning for applications ranging from domain adaptation, sentence similarities to deep learning. Yet, its ability to capture frequently occurring structure beyond the "ground metric" is limited. In this work, we develop a nonlinear generalization of (discrete) …

2017-12-17abs ↗pdf ↗

Proposes a method to preserve information in heterogeneous domain adaptation.

problem Preserving information in different feature spaces between domains.
method Joint information preservation method integrating paired and structural information.
result Superior performance compared to state-of-the-art HDA algorithms.

StrADiff separates sources from mixtures without labels, using structured priors.

problem Blind source separation of linear and nonlinear mixtures without labeled data.
method Structured Source-Wise Adaptive Diffusion Framework with Gaussian process priors.
result StrADiff can recover latent source trajectories in an unsupervised manner, especially stable in linear mixtures.