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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.

168,695 papers · 148 categories

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48 results for differentiable sparsity allocation

DSA efficiently allocates sparsity across layers for budgeted pruning.

problem Efficiently distributing resources (sparsity) across layers in pruning under resource constraints.
method DSA uses differentiable pruning to find continuous layer-wise pruning ratios via gradient-based optimization.
result DSA achieves superior performance and significantly reduces the time cost of pruning.

Abstract perspective on quadratic programming for optimal portfolio allocation.

problem Optimal allocation problems in long portfolio theory.
method Using maximum principles and distinguished boundaries in reproducing kernel Hilbert spaces.
result Support of an optimal distribution lies in a variety intersecting a distinguished boundary.

Dynamic risk factor model improves portfolio performance in high dimensions.

problem Dynamic portfolio allocation in high-dimensional financial markets.
method Time-varying sparsity on factor loadings, sequential learning of parameters and volatilities.
result Significant portfolio performance improvements and higher utility gains.

Develops FGL for better portfolio allocation under common factor influence.

problem Sparsity assumption fails for stock returns driven by common factors.
method Integrates graphical models with factor structure to estimate portfolio weights and risk exposure robust to heavy-tailed distributions.
result FGL-based portfolios outperform equal-weighted and Index portfolios in empirical applications.

Develops a new method for statistical optimal allocation problems.

problem Statistical optimal allocation problems with constraints.
method Functional differentiability approach and Hadamard differentiability of value functions.
result Validates margin assumption for fast convergence rate of plug-in methods.

Sparsity in Deep Neural Networks (DNNs) is studied extensively with the focus of maximizing prediction accuracy given an overall parameter budget. Existing methods rely on uniform or heuristic non-uniform sparsity budgets which have sub-optimal layer-wise parameter allocation resulting in a) lower prediction accuracy o…

2020-02-08abs ↗pdf ↗

Proposes a flexible feature allocation model for sparse factor analysis.

problem Sparse data and rigid assumptions in traditional exploratory tools.
method Adaptive latent feature sharing with control over feature sparsity.
result Derives a novel adaptive Factor analysis (aFA) and aPPCA for flexible dimensionality reduction.

A new method for differentiable structured sparsity improves neural network performance and sparsity.

problem Non-differentiability of structured sparsity penalties in neural networks.
method Introducing DD-Gating, a differentiable approach to structured overparameterization.
result The DD-Gating objective converges to the L2,2/DL_{2,2/D}-regularized loss and induces sparse learning dynamics.

The paper tackles one-for-many counterfactual explanations using column generation.

problem Minimizing the number of explanations needed for a group of instances with sparsity constraints.
method Developed a novel column generation framework to efficiently search for explanations for any black-box classifier.
result The column generation framework outperforms existing methods in scalability, computational performance, and solution quality.

New memory allocation scheme improves image generation performance.

problem Improving episodic and semantic memory representation in neural networks.
method Developed a hierarchical latent variable model with differentiable, locally block allocated latent memory.
result Improved conditional likelihood values on various datasets.

The Gradient Boosting Decision Tree (GBDT) is a popular machine learning model for various tasks in recent years. In this paper, we study how to improve model accuracy of GBDT while preserving the strong guarantee of differential privacy. Sensitivity and privacy budget are two key design aspects for the effectiveness o…

2019-11-11abs ↗pdf ↗

Proposes an efficient method for sparse index tracking with 0\ell_0-norm constraints.

problem Constructing a sparse portfolio to track a financial index.
method Formulates a new problem using 0\ell_0-norm constraints, develops an efficient algorithm based on primal-dual splitting.
result Demonstrates effectiveness through experiments on S&P500 and Russell3000 datasets.

Digital transformation boosts corporate financial asset allocation, especially short-term.

problem Understanding how digital transformation affects corporate financial decisions.
method Fixed-effects models and staggered DID design using A-share listed companies data.
result Digital transformation significantly promotes corporate financial asset allocation, more pronounced in short-term.

Proposes a new approach to generate sparse models from deep networks.

problem Training small networks can get stuck in local optima; over-parameterized models are preferred.
method Differential inclusion paths to generate a family of models from simple to complex.
result Algorithm converges to a critical point of empirical risks from any initializations.

Onflow optimizes portfolio allocation with gradient flows, robust to transaction fees.

problem Optimizing portfolio allocation with transaction costs.
method Gradient flow reinforcement learning method for dynamic asset allocation.
result Onflow outperforms benchmarks in high transaction cost regimes.

Algorithm ensures privacy while strictly adhering to constraints.

problem Differential privacy with linear constraints that must be strictly followed.
method Developed an algorithm that releases a nearly-optimal solution satisfying constraints with probability 1.
result Achieved nearly optimal performance while preserving privacy and strictly adhering to constraints.

New DP optimization methods for sparse gradients, improving on existing algorithms.

problem Differentially private optimization with sparse gradients in high-dimensional settings.
method Improved bounds for mean estimation, pure- and approximate-DP algorithms for stochastic convex optimization.
result First nearly dimension-independent rates for DP optimization with sparse gradients.

New loss function reduces outage probability in ML-assisted resource allocation.

problem Minimizing outage probability in ML-assisted resource allocation systems.
method Developed a novel loss function and trained an ML model to address the outage probability challenge.
result Exact and asymptotic expressions for the system's outage probability were established.

Improved Frank-Wolfe algorithm speeds up training of differentially private LASSO models.

problem Training differentially private LASSO models on sparse data.
method Adapted Frank-Wolfe algorithm for sparse inputs, reducing runtime.
result Training time reduced from O(TDS+TNs)\mathcal{O}(TDS + TNs) to O(NS+TDlogD+TS2)\mathcal{O}(N S + T \sqrt{D} \log{D} + TS^2).

Efficient implicit differentiation for Lasso hyperparameter optimization.

problem Difficult hyperparameter optimization for Lasso-type models.
method Implicit differentiation algorithm tailored for Lasso-type problems, avoiding matrix inversion and solving linear systems.
result Outperforms standard methods in optimizing error on held-out data or Stein Unbiased Risk Estimator (SURE).

Improved fMRI analysis models enhance classification performance and select relevant brain regions.

problem Inaccurate selection of relevant brain components in MVPA models.
method Hybrid Sparsity-Ranked LASSO (JSRL) method integrating component-level and voxel-level activity.
result JSRL models achieve up to 51.7% improvement in cross-validated deviance R2R^2 and 7.3% improvement in cross-validated AUC.

This paper challenges the conventional wisdom of trend-following by showing that the medium-term horizon adds little value once short- and long-term components are included.

problem The conventional wisdom that more horizons improve diversification and performance is challenged.
method A Bayesian optimization framework reallocates exposure dynamically across horizons, optimizing horizon-level weights at the asset level and applying sparsity and turnover control for dynamic allocation across assets.
result The medium-term horizon contributes little incremental performance or diversification once short- and long-term components are included.

Paper develops a method to learn optimal sparsity-promoting regularizers for linear inverse problems.

problem Solving linear inverse problems with sparse solutions.
method Bilevel optimization framework to select an optimal synthesis operator BB.
result Established well-posedness and theoretical guarantees for the learning process.

Boosting as gradient descent algorithms is one popular method in machine learning. In this paper a novel Boosting-type algorithm is proposed based on restricted gradient descent with structural sparsity control whose underlying dynamics are governed by differential inclusions. In particular, we present an iterative reg…

2017-04-16abs ↗pdf ↗

Predictive policing models can be biased by differential crime reporting rates.

problem Bias in predictive policing models due to differential crime reporting.
method Simulation based on Bogotá, Colombia's victimization and crime reporting data.
result Differential crime reporting rates can lead to misallocation of police patrols.

In the last few years, the financial advisory industry has been impacted by the emergence of digitalization and robo-advisors. This phenomenon affects major financial services, including wealth management, employee savings plans, asset managers, etc. Since the robo-advisory model is in its early stages, we estimate tha…

2019-02-20abs ↗pdf ↗

PrAda-GAN improves synthetic data generation under differential privacy.

problem Generating synthetic data under differential privacy with marginal-based methods.
method Sequential generator architecture integrating GAN and marginal-based approaches, with adaptive regularization of Bayes network structure.
result PrAda-GAN outperforms existing methods in privacy-utility trade-off on synthetic and real-world datasets.

SCOPE iteratively optimizes sparsity-constrained problems without tuning hyperparameters.

problem Optimizing sparsity-constrained problems in signal processing, statistics, and machine learning.
method SCOPE (Sparsity-Constrained Optimization via sPlicing itEration) replaces gradient steps with a splicing operation guided by the objective value.
result SCOPE achieves linear convergence and superior support recovery performance.

To scale non-parametric extensions of probabilistic topic models such as Latent Dirichlet allocation to larger data sets, practitioners rely increasingly on parallel and distributed systems. In this work, we study data-parallel training for the hierarchical Dirichlet process (HDP) topic model. Based upon a representati…

2019-06-06abs ↗pdf ↗

Latent Dirichlet Allocation (LDA) is a popular tool for analyzing discrete count data such as text and images. Applications require LDA to handle both large datasets and a large number of topics. Though distributed CPU systems have been used, GPU-based systems have emerged as a promising alternative because of the high…

2016-10-08abs ↗pdf ↗

The popularity of modern portfolio theory has decreased among practitioners because of its unfavorable out-of-sample performance. Estimation errors tend to affect the optimal weight calculation noticeably, especially when a large number of assets is considered. To overcome these issues, many methods have been proposed …

2019-10-25abs ↗pdf ↗