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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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3787551,1331,510 · Jun 202019922001200920172026
48 results for Additive Models

Researchers review challenges in interpreting additive models, especially neural additive models.

problem Challenges in interpreting additive models, particularly neural additive models.
method Review of generalized additive models and discussion of nonidentifiability.
result Challenges in claiming interpretability or suitability for safety-critical applications of additive models.

Many methods to explain black-box models, whether local or global, are additive. In this paper, we study global additive explanations for non-additive models, focusing on four explanation methods: partial dependence, Shapley explanations adapted to a global setting, distilled additive explanations, and gradient-based e…

2018-01-26abs ↗pdf ↗

We introduce GAMSEL (Generalized Additive Model Selection), a penalized likelihood approach for fitting sparse generalized additive models in high dimension. Our method interpolates between null, linear and additive models by allowing the effect of each variable to be estimated as being either zero, linear, or a low-co…

2015-06-11abs ↗pdf ↗

We introduce a Gaussian process model of functions which are additive. An additive function is one which decomposes into a sum of low-dimensional functions, each depending on only a subset of the input variables. Additive GPs generalize both Generalized Additive Models, and the standard GP models which use squared-expo…

2011-12-19abs ↗pdf ↗

Improved Gaussian process models for interpretable predictions.

problem Complex responses require high-dimensional interaction terms in additive Gaussian processes.
method Orthogonal additive kernel (OAK) with orthogonality constraint on additive functions.
result OAK models achieve similar or better predictive performance with fewer terms, retaining interpretability.

Boosted additive models reveal new insights and potential pathologies.

problem Theoretical understanding of boosted additive models (BAMs) and their convergence behavior.
method Study of solution paths of BAMs and derivation of convergence results.
result Uncovering pathologies of boosting for certain additive model classes.

We study additive models built with trend filtering, i.e., additive models whose components are each regularized by the (discrete) total variation of their kkth (discrete) derivative, for a chosen integer k0k \geq 0. This results in kkth degree piecewise polynomial components, (e.g., k=0k=0 gives piecewise constant co…

2017-02-16abs ↗pdf ↗

The paper explores risk-minimization for exponential additive models, providing mathematical expressions and numerical examples.

problem Risk-minimization in incomplete markets for exponential additive models.
method Derive explicit mathematical expressions for local risk-minimization strategies in exponential additive models.
result Provide necessary conditions for deriving expressions and confirm integrability conditions for specific models.

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. In this work we show how shape constraints such as convexity/concavity and their extensions, can be integrated into additive models. The proposed sparse difference of convex additive models (SDCAM) can est…

2017-05-01abs ↗pdf ↗

Bayesian principles improve neural additive models for better feature selection and uncertainty.

problem Lack of calibrated uncertainties and feature selection in neural additive models.
method Augmenting NAMs with Bayesian principles to provide credible intervals, feature selection, and interaction ranking.
result Improved performance on tabular datasets and real-world medical tasks.

Explainable Artificial Intelligence (XAI)has received a great deal of attention recently. Explainability is being presented as a remedy for the distrust of complex and opaque models. Model agnostic methods such as LIME, SHAP, or Break Down promise instance-level interpretability for any complex machine learning model. …

2019-03-27abs ↗pdf ↗

Combines additivity and active subspaces for high-dimensional Gaussian process modeling.

problem High-dimensional Gaussian process modeling challenges due to the curse of dimensionality.
method Combines additivity and active subspaces with a multi-fidelity strategy.
result Shows advantages through experiments on synthetic functions and datasets.

A new distributed algorithm for fitting sparse additive models with feature division and decorrelation.

problem Fitting high-dimensional sparse additive models efficiently and accurately.
method Divide, decorrelate, and conquer approach.
result Effective and efficient recovery of sparsity patterns and statistical inference for each component.

New models improve machine learning accuracy and transparency in finance.

problem Black-box machine learning models lack interpretability in regulated industries.
method Introducing generalized groves of neural additive models with clear feature categories and interactions.
result Generalized groves of neural additive models achieve high accuracy with predominantly linear and sparse nonlinear components.

We propose a new sparsity-smoothness penalty for high-dimensional generalized additive models. The combination of sparsity and smoothness is crucial for mathematical theory as well as performance for finite-sample data. We present a computationally efficient algorithm, with provable numerical convergence properties, fo…

2008-06-25abs ↗pdf ↗

We consider the problem of sparse variable selection in nonparametric additive models, with the prior knowledge of the structure among the covariates to encourage those variables within a group to be selected jointly. Previous works either study the group sparsity in the parametric setting (e.g., group lasso), or addre…

2012-06-18abs ↗pdf ↗

Gradient-free optimization for additive models achieves optimal error.

problem Optimizing noisy functions with zero-order information.
method Proposed a randomized gradient estimator for gradient-free optimization.
result Achieves minimax optimal error of order dT(β1)/βdT^{-(β-1)/β}.

Monotonic neural additive models simplify machine learning for credit scoring.

problem Complex machine learning methods make models less transparent and fair.
method Introducing monotonic neural additive models that simplify neural networks while maintaining regulatory compliance.
result Monotonic neural additive models achieve similar accuracy to complex neural networks but are more transparent and fair.

Hierarchical probabilistic models, such as mixture models, are used for cluster analysis. These models have two types of variables: observable and latent. In cluster analysis, the latent variable is estimated, and it is expected that additional information will improve the accuracy of the estimation of the latent varia…

2016-07-13abs ↗pdf ↗

Proposes a new model for high-dimensional data analysis with unknown link function.

problem Estimating link function, component functions, and variable interactions in high-dimensional data.
method Generalized Sparse Additive Model with Unknown Link Function (GSAMUL) using B-spline basis and MLP network for link estimation, with 2,1\ell_{2,1}-norm regularizer for variable selection.
result Can realize both variable selection and hidden interaction.

RNNs solve modular addition tasks using low rank and sparse Fourier structures.

problem Solving modular addition tasks with recurrent neural networks.
method Identified low rank structures and sparse Fourier representations in RNN weights.
result RNNs robust to removing individual frequencies but degrade with more ablation.

The paper tackles high-dimensional Bayesian optimization using tree-structured additive models.

problem Scaling Bayesian Optimization to high-dimensional problems.
method Tree-structured additive models with hybrid graph learning and zooming-based algorithms.
result Demonstrates faster model learning and reduced model complexity in high-dimensional settings.

New model estimates higher-order interactions in stochastic processes using lower-dimensional projections.

problem Estimating higher-order interaction effects in stochastic processes with limited data.
method Additive Poisson Process (APP) combines information geometry and generalized additive models to model intensity functions in lower dimensions.
result The model can estimate higher-order intensity functions with sparse data.

TSL learns separable models to avoid signal cancellation and off-support extrapolation.

problem Signal cancellation and off-support extrapolation in additive models.
method Tensor Separation Learning (TSL) via stagewise greedy procedure with orthogonal refitting.
result TSL avoids information loss caused by marginalizing higher-order interactions.

Neural model improves option pricing by calibrating additive process term structure.

problem Calibrating additive process models for option pricing with time-dependent parameters.
method Proposes neural term structure model using feedforward neural networks to represent term structure.
result Improves option pricing accuracy with neural term structure model.

New estimators improve sparse semiparametric additive modeling.

problem Sparse semiparametric additive modeling with structured sparsity.
method Combines group subset selection with shrinkage for nonconvex optimization.
result New estimators outperform alternatives in synthetic and real-world data.

Sparse generalized additive models (GAMs) are an extension of sparse generalized linear models which allow a model's prediction to vary non-linearly with an input variable. This enables the data analyst build more accurate models, especially when the linearity assumption is known to be a poor approximation of reality. …

2019-12-04abs ↗pdf ↗

Generalized additive models (GAMs) are favored in many regression and binary classification problems because they are able to fit complex, nonlinear functions while still remaining interpretable. In the first part of this paper, we generalize a state-of-the-art GAM learning algorithm based on boosted trees to the multi…

2018-10-22abs ↗pdf ↗

We proposed a new statistical dependency measure called Copula Dependency Coefficient(CDC) for two sets of variables based on copula. It is robust to outliers, easy to implement, powerful and appropriate to high-dimensional variables. These properties are important in many applications. Experimental results show that C…

2013-10-06abs ↗pdf ↗

We analyze a family of methods for statistical causal inference from sample under the so-called Additive Noise Model. While most work on the subject has concentrated on establishing the soundness of the Additive Noise Model, the statistical consistency of the resulting inference methods has received little attention. W…

2013-12-19abs ↗pdf ↗

NAMLSS models provide interpretable neural regression for location, scale, and shape.

problem Lack of interpretability in deep learning models for complex data distributions.
method Combines classical statistical methods with DNNs for distributional regression.
result Achieves visual interpretability and predictive power of deep learning models.

New pruning method for sparse additive models speeds up causal structure learning.

problem Efficiently prune spurious edges from fully-connected DAG induced by estimated topological order.
method Sparse additive models combined with randomized tree embedding and group-wise sparse regression.
result Significantly faster than existing pruning methods while maintaining comparable accuracy.

The generalized partially linear additive model (GPLAM) is a flexible and interpretable approach to building predictive models. It combines features in an additive manner, allowing each to have either a linear or nonlinear effect on the response. However, the choice of which features to treat as linear or nonlinear is …

2014-07-17abs ↗pdf ↗

A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub additive axiom to preserve the original difference between the numeraire of the current reserve amo…

2007-10-22abs ↗pdf ↗

Proposes a new video attack method that multiplies perturbation to improve model robustness.

problem Challenges existing defense methods for video recognition models against additive adversarial attacks.
method Introduces Multiplicative Adversarial Videos (MultAV) to impose perturbation by multiplication.
result Model trained against additive attacks is less robust to MultAV.

Collaborative Trees model analyzes feature interactions and additive effects.

problem Analyzing complex statistical associations between features and response variables.
method Proposes a novel tree model and its bagging version to decompose mean decrease in impurity and visualize feature contributions.
result Demonstrates the superior capability of the tree model in estimating additive effects and interaction effects.

We design a new algorithm for the Euclidean kk-means problem that operates in the local model of differential privacy. Unlike in the non-private literature, differentially private algorithms for the kk-means objective incur both additive and multiplicative errors. Our algorithm significantly reduces the additive erro…

2019-07-04abs ↗pdf ↗

Gaussian Process (GP) models are often used as mathematical approximations of computationally expensive experiments. Provided that its kernel is suitably chosen and that enough data is available to obtain a reasonable fit of the simulator, a GP model can beneficially be used for tasks such as prediction, optimization, …

2011-03-21abs ↗pdf ↗