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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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92185277369 · Jun 202019922001200920182026
48 results for size factor

Dropout improves matrix factorization by controlling factor size.

problem Understanding regularization properties of dropout for matrix factorization.
method Theoretical analysis of dropout's equivalence to a deterministic model with adaptive dropout rates.
result Dropout's regularization effect is limited by the fixed dropout rate, suggesting adaptive rates.

Investment strategy depends on many factors for venture capital funds.

problem Finding the optimal portfolio size for venture capital funds.
method Analyzes various factors affecting fund returns and optimal portfolio size, starting with basic assumptions and increasing complexity.
result Investment strategy depends on many factors, not a one-size-fits-all formula.

Gradient descent with large steps leads to chaotic parameter space and unpredictable outcomes.

problem Understanding the behavior of gradient descent with large step sizes in matrix factorization.
method Analyzing the fractal structure of the parameter space and deriving critical step sizes for convergence.
result Gradient descent with large steps exhibits chaotic behavior and sensitivity to initialization, creating a fractal boundary between converging and diverging minimizers.

We add size factor to CAPM and normalize residuals by Volatility Index.

problem Capturing the size effect in CAPM and making residuals Gaussian.
method Insert size effect, normalize residuals by Volatility Index, and fit model to real-world data.
result The new model shows long-term stability and connects to Stochastic Portfolio Theory.

SGD minima influenced by learning rate, batch size, and gradient covariance.

problem Characterizing the relation between learning rate, batch size, and the properties of SGD minima.
method Approximated SGD by SDE to investigate learning rate, batch size, and gradient covariance effects.
result The ratio of learning rate to batch size is a key determinant of SGD dynamics and minima width, leading to better generalization.

Study on adversarial examples from data size, task, and model factors.

problem Understanding adversarial examples from data size, task, and model perspectives.
method Systematic study on adversarial examples from three aspects: data size, task-dependent, and model-specific factors.
result Adversarial generalization requires more data than standard generalization.

We speed up marginal inference by ignoring factors that do not significantly contribute to overall accuracy. In order to pick a suitable subset of factors to ignore, we propose three schemes: minimizing the number of model factors under a bound on the KL divergence between pruned and full models; minimizing the KL dive…

2012-03-15abs ↗pdf ↗

This paper diagnoses factor-model pricing errors using a new method.

problem Measuring pricing errors in factor models with general characteristic axes.
method Developed a method to measure factor-model pricing errors as bridge-alpha curves, using a predetermined characteristic order and prefix portfolios.
result Adding a counterpart factor flips the curve's sign on every axis, but only HML and CMA overcorrect enough to be rejected.

Paper examines M-SVM for multi-task learning, showing reliability and pre-convergence-rate factor improvements.

problem Whether MTL always provides reliable results and how MTL outperforms independent learning.
method Regularized multi-task learning (MTL) based on SVM models (M-SVM).
result M-SVM is Bayes risk consistent in large sample size, improving pre-convergence-rate factor (PCR) for small data.

EigenDamage reduces neural network size and FLOPs with structured pruning in the Kronecker-Factored Eigenbasis.

problem Reducing neural network size and FLOPs while maintaining accuracy for resource-constrained devices.
method Kronecker-Factored Eigenbasis reparameterization and Hessian-based structured pruning.
result Empirically validated improvements in model size and FLOPs with negligible accuracy loss.

Study finds Value Granger-causes Size during crisis regimes but not during normal times.

problem Understanding regime-dependent predictive relationships between equity factors.
method Used 35 years of Fama-French data and a Student-t Hidden Markov Model (HMM) to identify crisis regimes.
result Value Granger-causes Size during crisis regimes but not during normal times, validating across multiple historical events.

Derives a size premium from automated market makers in decentralized AI subnets.

problem Determining the profitability and risk of decentralized AI subnets.
method Analyzes daily data on 128 subnets, tests the size premium, and calculates transaction costs.
result The size premium is reduced by a halving of token emissions but remains profitable only below a certain asset threshold.

The paper examines how gradient descent stabilizes low-rank matrix factorization in noisy conditions.

problem Stability of low-rank implicit regularization in perturbed deep matrix factorization.
method Derives spectral conditions for gradient descent to exhibit a low-rank phase in noiseless settings and analyzes perturbed dynamics.
result Gradient descent converges to a low-rank solution under perturbation, with explicit dependence on perturbation size.

We propose a 4-factor model for overnight returns and give explicit definitions of our 4 factors. Long horizon fundamental factors such as value and growth lack predictive power for overnight (or similar short horizon) returns and are not included. All 4 factors are constructed based on intraday price and volume data a…

2014-10-21abs ↗pdf ↗

Faster convergence and handling larger mini-batches for deep neural networks.

problem Generalization gap in large-scale distributed training of deep neural networks.
method Second-order optimization using Kronecker-factored approximate curvature.
result Achieved 75% Top-1 validation accuracy with mini-batch size of 131,072 in 978 iterations.

DeepThin compresses deep neural networks, improving performance and reducing resource usage.

problem Efficiently compressing large neural networks for mobile devices.
method Combining rank factorization with a reshaping process to add nonlinearity.
result DeepThin achieves significant improvements in word error rates and test loss compared to existing methods.

A new criterion HBIC improves model selection for factor analysis with missing data.

problem Model selection for factor analysis with incomplete data.
method Proposes a novel criterion HBIC that uses actual observed information in the penalty term.
result HBIC is more accurate than BIC when missing data rates are high.

A method to reduce knowledge graph embedding models by binarizing parameters.

problem Large memory requirements for tensor factorization models in knowledge graph completion.
method Introducing a quantization function to binarize parameters of CP tensor decomposition.
result Successfully reduced model size by more than an order of magnitude while maintaining task performance.

Pruning improves model generalization in over-parameterized models, contradicting traditional theories.

problem Pruning's effect on generalization in over-parameterized models.
method Empirical study on standard pruning algorithms and additional regularization effects.
result Pruning leads to better training and regularization, improving generalization.

The study addresses overlooked data-generating processes in time-series asset pricing.

problem The literature on time-series asset pricing overlooks the data-generating processes for factors expressed in return differences.
method The study proposes a new definition of returns and compound returns for factors, and uses OLS with net returns for single-index models.
result OLS with net returns for single-index models leads to inflated alphas, exaggerated t-values, and overestimated Sharpe ratios.

Audit fees change based on company and economic factors during auditor switching.

problem Understanding how audit fees change when auditors switch firms.
method Examined the impact of auditor switching on audit fees, considering company characteristics and economic data.
result The direction and magnitude of audit fee changes during switching depend on economic stability and company characteristics.

This paper compares two stock factor models in China's A-share market.

problem Contradicting results in existing research on stock factor models.
method Empirical analysis using China's A-share data from 2005-2020, orthogonalizing redundant factors, and 25-group portfolio returns calculation.
result The five-factor model outperforms the three-factor model in explaining excess return rates.

Gradient descent balances layer magnitudes in deep neural networks without explicit regularization.

problem Balancing magnitudes across layers in deep neural networks.
method Gradient descent with infinitesimal step size enforces layer magnitude balance.
result Gradient descent automatically balances layer magnitudes without explicit regularization.

Motivated by an application in computational biology, we consider low-rank matrix factorization with {0,1}\{0,1\}-constraints on one of the factors and optionally convex constraints on the second one. In addition to the non-convexity shared with other matrix factorization schemes, our problem is further complicated by a c…

2014-01-23abs ↗pdf ↗

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this problem is the stochastic block model, also referred to as the planted partition model…

2012-10-11abs ↗pdf ↗

A new bootstrapping method reduces key sizes and runtime in FHE.

problem Large plaintext evaluation in FHE increases bootstrapping complexity.
method New polynomial vector representation and monic monomial permutation matrices.
result Polynomial factor improvement in key size and constant factor in runtime.

This paper tackles multi-asset market making by reducing dimensionality and considering different transaction sizes.

problem Optimizing bid and ask prices for multiple assets while managing inventory risk in volatile markets.
method Proposes a dimensionality reduction technique using a factor model and considers different transaction sizes.
result Generalizes existing market making models by incorporating different transaction sizes and prices.

Improved robustness in optimization methods using second-order information.

problem Scalability and sensitivity to mini-batch size in optimization methods.
method Mini-Batch Stochastic Variance-Reduced Newton (extttMbSVRN exttt{Mb-SVRN}) algorithm incorporating partial second-order information.
result Achieves a fast linear convergence rate independent of mini-batch size for large data sizes.

Paper explores subdifferential chain rules for matrix factorization and related machine learning models.

problem Clarke subdifferential chain rules for matrix factorization and factorization machines.
method Analyzes conditions for subdifferential chain rules to hold, especially for overparameterized models.
result Subdifferential chain rules hold for matrix factorization and factorization machines under certain conditions.

A new method decouples set representation learning from posterior modeling for efficient amortized inference.

problem Efficient inference for large sets of observations with shared factors.
method Train a mean-pool Deep Set on sets of size at most two, then finetune the inference head on pre-aggregated embeddings.
result Matches or outperforms standard baselines at a fraction of the compute cost for large N.