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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 deep hierarchical decompositions

New graph learning framework outperforms existing methods.

problem Learning effective representations of large graphs with high degree variability.
method Deep hierarchical decompositions and neural network template unrolling over the hierarchy.
result Empirically outperforms state-of-the-art graph classification methods on large social network datasets.

Novel method extracts hierarchical brain connectivity patterns from fMRI.

problem Functional hierarchical organization of the human brain.
method Sparse Connectivity Patterns (SCPs) with hierarchy of sparse overlapping patterns, deep factorization of correlation matrices.
result Reproducible multi-scale hierarchical SCPs more stable than single-scale patterns.

It has long been conjectured that hypotheses spaces suitable for data that is compositional in nature, such as text or images, may be more efficiently represented with deep hierarchical networks than with shallow ones. Despite the vast empirical evidence supporting this belief, theoretical justifications to date are li…

2015-09-16abs ↗pdf ↗

The paper tackles hierarchical reinforcement learning by approximating optimal solutions for the Traveling Salesman Problem.

problem Approximating optimal solutions for the Traveling Salesman Problem using hierarchical reinforcement learning.
method Mapping the problem into a Reward Discounted Traveling Salesman Problem and deriving approximate solutions using local policies.
result Three stochastic policies are proposed that guarantee better performance than any deterministic policy.

Hierarchical interpretations explain neural network predictions.

problem Inability to visualize complex, non-linear relationships learned by neural networks.
method Agglomerative contextual decomposition (ACD) for feature clustering and prediction explanation.
result ACD identifies clusters of features predictive to DNN predictions and diagnoses incorrect predictions.

Outer automorphism group of hyperbolic groups is HHG under certain conditions.

problem Characterizing the outer automorphism group of hyperbolic groups.
method Proving finite-index subgroups are central extensions of orbifold mapping class groups with bounded Euler class.
result Outer automorphism group of a one-ended hyperbolic group is virtually a hierarchically hyperbolic group.

Proves deep networks can learn hierarchical structures efficiently.

problem Understanding how deep networks learn hierarchical structures in data.
method Random Hierarchy Models, gradient-based methods, layerwise training.
result Proves deep networks can efficiently learn hierarchical structures.

RICH models scenes as hierarchical tree to learn and generate complex compositions.

problem Learning compositional structures between parts and objects in natural scenes.
method RICH uses a latent scene graph to organize entities into a tree structure and employs a top-down inference approach.
result RICH learns and generates complex scene hierarchies from unlabeled data.

HCL learns shared and modality-specific latent representations for multimodal data.

problem Binary shared-private decomposition inadequately represents shared information across subsets of modalities.
method Hierarchical Contrastive Learning framework combining latent-variable formulation, structural sparsity, and contrastive objective.
result HCL accurately recovers hierarchical structure and improves predictive performance on multimodal data.

This paper improves neural network explanations by quantifying and visualizing semantic compositions.

problem Improving neural network explanations for natural language processing tasks.
method Proposes a formal way to quantify word and phrase importance, introduces SCD and SOC algorithms.
result Our algorithms outperform prior methods in explaining neural network predictions.

Improved spectral methods of moments for robust latent variable model learning.

problem Limited robustness of spectral methods of moments to model misspecification.
method Hierarchical approach using approximate joint diagonalization instead of tensor decomposition.
result Our method outperforms previous tensor decomposition methods in speed and model quality.

Model learns sub-goals and low-level policies for hierarchical reinforcement learning.

problem Determining appropriate low-level policies in hierarchical reinforcement learning.
method Unsupervised learning scheme based on asymmetric self-play.
result Obtains performance gains over non-hierarchical approaches.

NCPF model improves traffic data imputation with neural and tensor methods.

problem Pervasive missing data in traffic analysis due to sensor failures and gaps.
method Neural Canonical Polyadic Factorization (NCPF) integrating CP decomposition and deep learning.
result NCPF outperforms state-of-the-art baselines in urban traffic datasets.

HCRL learns hierarchical embeddings from deep embeddings of hierarchy components.

problem Flat clustering limits cohesive instance relations in hierarchical data.
method Simultaneously optimizes representation learning and hierarchical clustering in the embedding space.
result HCRL achieves best hierarchical clustering and data reconstruction.

The paper explains implicit regularization in hierarchical tensor factorization and deep CNNs.

problem Understanding implicit regularization in complex neural network architectures.
method Theoretical analysis using dynamical systems to overcome challenges in hierarchy.
result Established implicit regularization towards low hierarchical tensor rank, equivalent to locality in CNNs.

HIP-NN models molecular energies using a deep neural network with hierarchical terms.

problem Accurately predicting molecular energies from quantum calculations.
method HIP-NN decomposes molecular properties into a sum of hierarchical terms generated by a neural network.
result Achieves state-of-the-art performance with 0.26 kcal/mol mean absolute error.

A deep learning approach classifies medical images hierarchically.

problem Limitations of traditional supervised classifiers in medical image classification.
method Hierarchical Medical Image Classification (HMIC) using deep learning models.
result HMIC achieved better performance in classifying medical images hierarchically.

Efficiently annotates hierarchical structure in images using 2AFC testing and deep metric learning.

problem Lack of efficient methods for hierarchical annotation of high-dimensional data like images.
method Two-alternative-forced-choice (2AFC) testing and deep metric learning for embedding data in semantic space.
result Successfully hierarchically clusters data, achieving finer granularity than original labels.

Combines CNN and RNN for hierarchical image classification.

problem Hierarchical relations between image categories are not captured by flat classifiers.
method Uses a CNN for feature extraction and an RNN for capturing hierarchical class relations. Incorporates residual learning.
result Hierarchical networks outperform state-of-the-art CNNs on a real-world dataset.

Hybrid models combine deep hierarchical and deep neural networks for spatio-temporal data.

problem Complex spatio-temporal data and challenges in modeling process complexity.
method Integrates deep hierarchical models and deep neural networks for spatio-temporal data.
result Illustrates recent hybrid approaches combining elements from DH-DSTMs and DN-DSTMs.

SRHM explains deep learning's hierarchy and insensitivity to transformations.

problem Understanding how deep networks learn hierarchical and invariant representations.
method Introducing sparsity to generative hierarchical models of data.
result Hierarchical representations and insensitivity to transformations correlate strongly with deep network performance.

New method approximates high-dimensional probability densities efficiently.

problem Approximating high-dimensional probability densities accurately and efficiently.
method Hierarchical tensor-network approach using randomized SVD and linear equations.
result The method effectively approximates high-dimensional densities with linear complexity.

Convolutional networks outperform shallow classifiers on certain tasks due to hierarchical structure.

problem Understanding why convolutional networks outperform shallow classifiers on specific tasks.
method Approximation theory, visual tasks with deterministic scrambling, and network performance evaluation.
result Hierarchical structure is crucial for convolutional networks' performance on certain tasks, but not all.

The paper uses deep learning to detect financial market regimes from correlation matrices.

problem Detecting financial market regimes from correlation dynamics.
method Representation learning on block hierarchical SPD correlation matrices using SPDNet, SPD-NetBN, and U-SPDNet models.
result Deep learning models overfit in financial market data, misleading performance metrics.

DPGDS models sequential count data with deep hierarchical structure and temporal dependencies.

problem Modeling sequentially observed multivariate count data with hierarchical and temporal dependencies.
method Developed deep Poisson-gamma dynamical systems with data augmentation and MCMC inference.
result Demonstrated excellent predictive performance and interpretable latent structure.

Paper proposes a GPU-based system for training massive deep learning models in ads systems.

problem Training massive deep learning models with terabyte-scale parameters in ads systems.
method Hierarchical GPU parameter server with 3-layer storage (GPU High-Bandwidth Memory, CPU main memory, SSD).
result 4-node hierarchical GPU parameter server trains a model 2X faster than a 150-node in-memory system.

New algorithm B++&C improves hierarchical clustering on large deep embedding datasets.

problem Scaling up hierarchical clustering to massive datasets of deep embeddings.
method Proposes B++&C algorithm for practical hierarchical clustering, introduces B2SAT&C for theoretical approximation.
result Achieves 5%/20% improvement on MW/CKMM objectives compared to classic methods.

Generalizes information theory for hierarchical partitions.

problem Understanding hierarchical decomposition of complex systems.
method Introducing a generalization of information theory for hierarchical partitions, revisiting Hierarchical Mutual Information (HMI), and proving its bounds and transformations.
result Derives hierarchical generalizations of information-theoretic quantities, including a non-metric variation of information.