Quantum-inspired tensor network speeds up financial risk assessment.
problem Efficiently pricing multi-asset derivatives in finance.
method Tensor network algorithms for multi-asset options pricing.
result Tensor network approach yields several orders of magnitude speedup.
Algorithm for factorizing financial network data into groups.
problem Modeling groups within heterogeneous financial networks.
method Non-negative factorization of an occurrence tensor, l0 norm for sparsity, efficient splitting method.
result Effective factorization of financial documents into embedded groups.
New method constructs multilayer networks from financial data, capturing dependencies across different risk factors.
problem Difficult construction of multilayer networks, neglecting time delays and interdependencies.
method Tucker tensor autoregression for direct multilayer network construction.
result Captures within and between connections, identifies strong interconnections between volumes and prices layers.
Tensor networks improve exotic option pricing efficiency.
problem Challenges in pricing exotic financial derivatives using standard methods.
method Combining binomial pricing with tensor network techniques (Matrix Product States).
result Linear scaling with parameters and reduced computational complexity.
CPOPT-Net predicts sparse client actions in banking using tensor decomposition and neural networks.
problem Predicting sparse client activities in the banking environment with evolving regulations.
method Combines CP tensor decomposition and neural networks for time series predictions.
result CPOPT-Net achieves accurate predictions of clients' financial activities.
Study uses cohomology theory to analyze 2008 financial crisis in Thai stock market.
problem Analyzing the 2008 financial crisis in the Thai stock market.
method Hybrid mathematical superstructure with cohomology theory, Pauli matrix, and Wilson loop.
result Identified the 2008 financial market crash using cohomology group of sphere over tensor field.
Tensor Neural Networks solve high-dimensional PDEs for financial pricing.
problem High-dimensional PDEs in financial pricing.
method Tensor Neural Networks (TNN) and Tensor Network Initializer (TNN Init).
result TNN provides significant parameter savings and faster training than DNN.
New algorithm APHEN improves tensor decomposition for mobile banking user-device authentication.
problem Enhancing user-device authentication in mobile banking for financial services.
method Tensor decomposition using Paratuck2 and APHEN algorithm for faster and more accurate computation.
result Improved user-device authentication for financial services through faster and more accurate tensor decomposition.
In this work, we consider Corporate Governance (CG) ties among companies from a multiple network perspective. Such a structure naturally arises from the close interrelation between the Shareholding Network (SH) and the Board of Directors network (BD). In order to capture the simultaneous effects of both networks on CG,…
Quantum models generate financial time series with desired properties.
problem Generating synthetic financial data with temporal correlations.
method Quantum generative adversarial networks (QGANs) with quantum and classical components.
result QGANs can generate financial time series with matching distribution and temporal correlations.
TPUs speed up financial Monte Carlo simulations.
problem High computational cost of Monte Carlo simulations in finance.
method Empirical experiments comparing TPUs to GPUs for financial Monte Carlo tasks.
result TPUs provide accurate and fast estimators for financial Monte Carlo tasks.
Novel tensor decomposition identifies directed network topologies from nodal data.
problem Identifying hidden directed network topologies from nodal data.
method Three-way tensor factorization using PARAFAC decomposition with second-order exogenous inputs.
result Topology can be identified from second-order exogenous inputs and time-varying factors.
Unified approach for clustering financial multiplex networks.
problem Lack of methods to capture interconnections between assets over time.
method Tensor-based unified local and global clustering coefficients for multiplex networks.
result Unified clustering coefficients effectively describe dependencies between assets over time.
Tensor-based methods improve mid-price prediction in high-frequency financial data.
problem Predicting price changes in high-frequency financial data.
method Multilinear tensor-based learning algorithms for mid-price prediction.
result Tensor-based models outperform vector-based approaches in mid-price prediction.
TM-GCN learns dynamic graph embeddings using tensor algebra.
problem Handling dynamic graphs in graph neural networks.
method Tensor M-product for dynamic graph convolution.
result TM-GCN outperforms existing methods on edge classification and link prediction.
GRTR framework uses graph regularization to improve financial forecasting.
problem High computational costs and economic domain knowledge loss in tensor models.
method Graph-Regularized Tensor Regression (GRTR) framework incorporating economic domain knowledge.
result Improved performance in multi-way financial forecasting with reduced computational costs.
Quantum optimization aids in financial crash prediction and portfolio management.
problem Hard financial optimization problems.
method Quantum algorithms for financial crashes and portfolio optimization.
result Quantum strategies improve financial prediction and portfolio management.
Survey of determinism issues in financial AI systems.
problem Vulnerabilities in reproducibility of financial AI systems.
method Literature review and first-party experiments on public financial datasets.
result Proposed a layered evaluation framework linking modality-specific metrics to audit readiness.
Deep learning models predict option prices from 3D tensor data.
problem Predicting option prices for risk management and trading.
method 3D tensor representation of financial data, deep learning models (2D tensors in 3 channels).
result Proposed models outperform traditional methods like B-S model and vector-based LSTM.
Paper uses Chebyshev Tensors for accurate dynamic sensitivities and ISDA SIMM computation.
problem Computing dynamic sensitivities and initial margin for financial instruments.
method Uses Chebyshev Tensors in Monte Carlo simulations to compute dynamic sensitivities and ISDA SIMM.
result High accuracy and computational gains for FX swaps and Spread Options.
This paper improves financial simulations using Tensor Processing Units and Tensorflow.
problem Estimating sensitivities in financial models efficiently.
method Utilizing Tensor Processing Units and Tensorflow for fast and automated differentiation.
result Single line of code for estimating sensitivities in financial models.
CMTF improves financial market forecasting by fusing multiple data types.
problem Lack of effective integration of diverse financial data sources.
method Transformer-based deep learning framework with tensor interpretation and auto-training.
result CMTF outperforms classical and deep learning models in price direction classification.
Two methods using Chebyshev tensors improve accuracy and speed in computing Dynamic Initial Margin.
problem Computing Dynamic Initial Margin (DIM) with high accuracy and speed.
method Two methods based on Chebyshev tensors implemented in Monte Carlo engine.
result Better accuracy, speed, and implementation efforts compared to benchmarks.
Improved stock prediction model using tensor and SMC algorithm.
problem Enhance stock prediction accuracy through multi-source data fusion.
method Tensor integration for multi-sourced data, improved SMC algorithm for feature quality.
result Improved prediction accuracy demonstrated through experiments.
Method reveals multi-timescale trading dynamics in online financial markets.
problem Capturing and characterizing trading dynamics at different time scales.
method Non-negative tensor factorization (NTF) for multi-timescale activity patterns.
result NTF uncovers hidden activity patterns and crisis modalities in trading.
Enhances stock movement prediction using Higher Order Transformers for multimodal time-series data.
problem Predicting stock movements in financial markets with complex dynamics.
method Introduced Higher Order Transformers, extending self-attention and transformer architecture to capture complex market dynamics. Employed low-rank tensor decomposition and kernel attention to manage computational complexity. Integrated technical and fundamental analysis from historical prices and tweets.
result Demonstrated effectiveness of the method on the Stocknet dataset, improving stock movement prediction.
L-GCNs learn from complex multigraphs, improving node classification performance.
problem Learning from complex multigraphs with rich edge labels.
method Latent-Graph Convolutional Networks (L-GCNs) that propagate information to a latent adjacency tensor.
result L-GCNs improve node classification performance, especially with nonlinear interactions.
Study finds market inefficiencies vary by time scale, with news uncertainty key.
problem Evaluating scale-dependent informational efficiency of stock markets.
method Tensor-eigenvalue-based Financial Chaos Index, Granger causality, network analysis.
result Semi-strong form of EMH rejected at daily frequency, but not at monthly.
Money analyzed as a multidimensional tensor for better economic policy.
problem Economic complexity and policy responsiveness.
method Tensor analysis of money dynamics.
result Enhanced economic policy design and resilience.
Graphical models and tensor networks are shown to be dual.
problem No specific problem stated; focuses on the duality between models.
method Study of tensor hypernetworks on hypergraphs and their correspondence to graphical models.
result Tensor hypernetworks on hypergraphs correspond to graphical models of the dual hypergraph.
New method improves sales forecasting accuracy using tensor factorization.
problem Improving sales forecasting accuracy in retail businesses.
method Advanced Temporal Latent-factor Approach to Sales forecasting (ATLAS) using tensor factorization.
result Accurate and individualized prediction for sales across multiple stores and products.
Tensor regression networks improve neural network compression and regularization.
problem Improving neural network compression and regularization with low-rank tensor approximations.
method Investigating various low-rank tensor approximations in tensor regression networks.
result Tensor regression networks with Global Average Pooling layer outperformed in deep CNNs, while shallow CNNs with tensor regression and dropout achieved lower test error.
New method reduces high-dimensional financial problems using low-rank tensor approximation.
problem High-dimensional financial problems in pricing, calibration, and risk assessment.
method Low-rank tensor approximation for Chebyshev interpolation in tensor train (TT) format.
result Efficiently approximates interpolation coefficients using tensor completion.
Adaptive algorithm learns tensor network structures from data.
problem Identifying optimal tensor network structure from data.
method Greedy approach starting from rank one tensor, small rank increments.
result Adaptive algorithm identifies efficient tensor network structures.
New spectral tensor network algorithms solve continuous tensor problems.
problem Continuous tensor decomposition and orbit recovery problems over infinite groups.
method Leverage tensor networks to design spectral algorithms.
result Solve continuous multi-reference alignment over infinite SO(2) group.
New tensor networks improve machine learning efficiency and accuracy.
problem Limitations of traditional tensor networks in higher dimensions.
method Definition and training of generalized tensor networks.
result Generalized tensor networks outperform traditional networks in image and sound classification.
TRNN combines tensor geometry with neural network nonlinearity for HD data.
problem Modeling high-dimensional data with preserved tensor geometry and nonlinear interactions.
method Introduces TRNN that integrates tensor geometry and neural network nonlinearity.
result TRNN preserves tensor geometry while offering nonlinearity.
T-Basis represents neural network tensors with fewer parameters.
problem Efficiently representing neural network tensors with fewer parameters.
method T-Basis uses Tensor Rings to represent tensors in a neural network, parameterizing them with a small number of coefficients.
result T-Basis achieves high compression rates with minimal performance loss.
Tensor networks improve integration accuracy for high-dimensional problems.
problem Integration of high-dimensional functions with exponential convergence.
method Regression-free tensor network representations for integration.
result Exponential convergence achieved for non-analytic integrands.
Tensor networks improve image classification with less than 1% error.
problem Improving image classification accuracy.
method Adapted tensor network optimization for supervised learning using matrix product states.
result Less than 1% test set classification error on MNIST data.
This paper proposes a method to automatically compress neural networks using Bayesian tensor decomposition.
problem Challenges in directly applying tensor compression in neural network training.
method Bayesian tensorized neural network with automatic rank selection.
result Produces significantly more compact neural networks (7.4x to 137x) directly from training.
Improved machine learning with reduced tensor rank constraints and dropout.
problem Efficiently approximating large tensors in machine learning.
method Tree tensor networks with CP rank constraints and tensor dropout.
result Low-rank TTN classifier achieves 90.3% accuracy in Fashion-MNIST.
Novel approach to financial derivatives pricing using rough path theory.
problem No-arbitrage conditions in financial markets necessitating precise integration methods.
method Developed a polynomial-based approximation class for rough path functionals, extending to non-geometric rough paths.
result Motivated a hypothesis for payoff functionals in financial markets, facilitating analysis.
Tensor networks preserve data interpretability for supervised learning.
problem Efficiently classifying data using tensor networks.
method Number-state preserving tensor networks for supervised learning.
result Number-state preserving tensor networks can be trained to maximize their scalar product against data sets.
New method infers diffusion equations from sparse data.
problem Statistical inference of diffusion equations from limited data.
method Neural network-based estimators for drift and diffusion tensor.
result Statistical convergence guarantees for Hölder continuous processes.
Hybrid tensor networks improve machine learning by combining quantum and classical methods.
problem Limitations of regular tensor networks in machine learning.
method Quantum-classical hybrid tensor networks (HTN) combining tensor networks and classical neural networks.
result HTN overcomes limitations of regular tensor networks and enables deep learning training.
Efficiently compress SPNs using tensor networks.
problem Efficiently compressing Sum-Product Networks (SPNs).
method Mapping SPNs onto tensor networks and employing novel optimization techniques.
result Remarkable parameter compression with negligible loss in accuracy.
A new tensor completion method using tensor networks with Tucker wrapper.
problem Low-rank tensor completion in various applications.
method Solving LRTC as a system of nonlinear equations using a two-level alternative least squares method.
result The method converges to the exact solution at a linear rate with high probability.