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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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139277416554 · Jun 202019922001200920182026
48 results for local representation alignment

LPL optimizes embeddings to align local neighborhoods, improving cross-lingual word alignment.

problem Aligning embeddings across different datasets and languages.
method Locality Preserving Loss (LPL) optimizes model to project embeddings while maintaining local neighborhoods and aligning them.
result LPL-based alignment leads to better and consistent accuracy, especially in small training set settings.

New method learns domain-invariant local feature patterns for unsupervised domain adaptation.

problem Performance degradation due to domain-shift in unsupervised domain adaptation.
method Jointly learns domain-invariant local feature patterns and holistic feature distributions.
result Superior performance on benchmark datasets compared to state-of-the-art methods.

Paper proposes new neural network learning algorithms inspired by predictive coding.

problem Finding biologically plausible alternatives to back-propagation of errors.
method Error-driven Local Representation Alignment (LRA-E) and Difference Target Propagation.
result Both proposed algorithms yield stable performance and strong generalization in training deeper, highly nonlinear networks.

Using back-propagation and its variants to train deep networks is often problematic for new users. Issues such as exploding gradients, vanishing gradients, and high sensitivity to weight initialization strategies often make networks difficult to train, especially when users are experimenting with new architectures. Her…

2018-03-05abs ↗pdf ↗

TMDA aligns subdomain data distribution discrepancies across domains using manifold representations.

problem Transfer learning challenges due to domain divergence.
method TMDA uses low-dimensional manifolds to represent subdomains and aligns local data distribution discrepancies across domains using M3D.
result TMDA is a promising method for various transfer learning tasks.

MKA incorporates manifold geometry into kernel alignment for more robust representation comparison.

problem Inadequate accounting for manifold geometry in kernel alignment metrics.
method Derives a theoretical framework for Manifold Approximated Kernel Alignment (MKA).
result MKA provides a more robust foundation for measuring representations.

Neural network iteratively refines image registration, achieving compactness and speed.

problem Non-compact representation of deformations in image registration.
method Recurrent registration neural network that computes local deformations iteratively.
result Our method achieves similar accuracy but is more compact and faster.

Better data representations can simplify learning tasks by aligning model distributions with true data distributions.

problem Learning complexity influenced by the alignment of model distributions with true data distributions.
method Analyzed the effect of data representations on learning complexity using a task complexity score and information coding length.
result Better representations can simplify learning tasks by aligning model distributions with true data distributions, improving learning outcomes.

Foundation models fail to preserve continuous geometry, identified as the Geometric Alignment Tax.

problem Continuous geometry is lost in foundation models due to discrete categorical bottlenecks.
method Controlled ablations on synthetic systems and evaluation of 14 biological models using rate-distortion theory and MINE.
result Replacing cross-entropy with a continuous head reduces geometric distortion by up to 8.5x.

CurvSSL improves SSL by aligning local manifold curvature.

problem Improving self-supervised learning by capturing local manifold geometry.
method CurvSSL augments Barlow Twins with a curvature-based regularizer to align and decorrelate embeddings across augmentations.
result Curvature-regularized SSL yields competitive or improved linear evaluation performance.

Alignment of neural network representations is influenced by SNR and sample size.

problem Understanding how neural network representations align across different conditions.
method Controlled training of neural networks on perturbed datasets, analyzing alignment and generalization.
result Alignment varies monotonically with SNR but non-monotonically with sample size, with minimal alignment near the interpolation threshold.

Proposes a method for weakly-supervised object localization to improve few-shot learning.

problem Challenges of few-shot learning, especially with fine-grained categories.
method Introduces a Self-Attention Based Complementary Module (SAC Module) for weakly-supervised object localization.
result Significantly outperforms state-of-the-art methods on benchmark datasets, especially for fine-grained few-shot tasks.

A framework for federated learning with heterogeneous data.

problem Federated learning with data from clients using different data representations.
method FLIC framework that maps client data into a common feature space via local embedding functions, learned federally using Wasserstein barycenters and trained locally via distribution alignment.
result FLIC outperforms FL benchmarks with heterogeneous input feature spaces.

Analyzes learning dynamics of RNNs under locality constraints.

problem Understanding learning dynamics in RNNs with locality constraints.
method Dynamical systems theory applied to data-aligned linear RNNs.
result RFLO solutions are restricted to low-rank perturbations of initial parameters.

This work optimizes alignment and uniformity of features on a hypersphere for better downstream performance.

problem Improving the performance of contrastive representation learning.
method Identifying and optimizing alignment and uniformity of features on a hypersphere.
result Directly optimizing alignment and uniformity leads to comparable or better performance than contrastive learning.

Gradient-free deep learning for large datasets.

problem Training deep neural networks on large-scale datasets is resource-intensive and requires specialized techniques.
method Recursive Local Representation Alignment (RLRA) for gradient-free training.
result RLRA achieves comparable performance to backprop while converging faster and being parallelizable.

CKA with Gaussian RBF kernels converges linearly as bandwidth increases.

problem Understanding the behavior of CKA with large bandwidth Gaussian kernels.
method Analyzing the convergence of CKA based on Gaussian RBF kernels in the large-bandwidth limit.
result CKA based on Gaussian RBF kernels converges linearly as bandwidth increases.

Geometric framework detects concept frustration between human concepts and machine representations.

problem Aligning human concepts with machine learning representations.
method Geometric framework and similarity measures for detecting concept frustration.
result Concept frustration affects machine learning model performance and reorganizes learned concept representations.

A novel OT-based method for aligning hyperbolic representations.

problem Aligning different hyperbolic representations of hierarchical data.
method Optimal transport (OT) on the Poincaré model of hyperbolic spaces, using gyrobarycenter mapping.
result Both Euclidean and hyperbolic OT-based methods perform similarly in retrieval tasks.

A new method for drone-based geo-localization using style and spatial alignment.

problem Geo-localization of drone-view images with satellite-view images using pre-annotated GPS tags.
method Orientation-based method to align patterns, new branch to extract aligned partial features, style alignment strategy.
result The proposed method outperforms state-of-the-art alternatives in geo-localization accuracy.

Early alignment in neural networks leads to sparse representations but hinders convergence.

problem The implicit bias of gradient descent during early training phases.
method Quantitative description of early alignment phase in small initialisation, one hidden layer networks.
result Early alignment induces a sparse representation but also hinders convergence to global minima.

The paper addresses rigid alignment of noisy patches, providing a polynomial time algorithm and convergence conditions.

problem Finding a rigid alignment of overlapping local views (patches) that minimizes alignment error in a noisy setting.
method Characterizes non-degeneracy based on kernel and positivity of a matrix, provides polynomial time algorithm for testing non-degeneracy, and uses Riemannian gradient descent for alignment.
result The algorithm converges locally linearly to a non-degenerate perfect alignment under certain conditions.

Word embedding models offer continuous vector representations that can capture rich contextual semantics based on their word co-occurrence patterns. While these word vectors can provide very effective features used in many NLP tasks such as clustering similar words and inferring learning relationships, many challenges …

2017-02-24abs ↗pdf ↗

Proposes COALA method for learning audio representations aligned with tags.

problem Lack of annotated data for high-performance audio representation learning.
method Aligns latent representations of audio and tags using a contrastive loss.
result Audio embedding model captures both acoustic and semantic characteristics.

Proposes a new method for manifold alignment using geometry-regularized twin autoencoders.

problem Traditional MA methods lack out-of-sample extension and real-world applicability.
method Guided representation learning with geometry-regularized twin autoencoders.
result Improves cross-domain generalization and robustness while maintaining alignment fidelity.

The application of machine learning to bioinformatics problems is well established. Less well understood is the application of bioinformatics techniques to machine learning and, in particular, the representation of non-biological data as biosequences. The aim of this paper is to explore the effects of giving amino acid…

2013-02-15abs ↗pdf ↗

Deep Divergence Graph Kernels learn graph representations without supervision.

problem Learning graph representations without feature engineering or labeled graphs.
method Unsupervised method using cross-graph attention networks and divergence scores.
result Learned representations achieve competitive results on graph classification tasks.

A new deep generative model captures global dependencies without supervision.

problem Global modeling in deep generative models.
method Non-i.i.d. variational autoencoders with mixture model and global Gaussian latent variable.
result Captures interpretable disentangled representations and domain alignment.

Cross-language learning allows us to use training data from one language to build models for a different language. Many approaches to bilingual learning require that we have word-level alignment of sentences from parallel corpora. In this work we explore the use of autoencoder-based methods for cross-language learning …

2014-02-06abs ↗pdf ↗

Paper presents a method to align unpaired samples across different modalities.

problem Challenges in collecting paired samples for multimodal representation learning.
method Uses propensity score alignment based on Rubin's framework to estimate a common space for unpaired samples.
result Optimal transport matching significantly improves alignment in real-world data.