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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.

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48 results for underfitting

Framework for understanding overfitting and underfitting using information theory.

problem Understanding and preventing overfitting and underfitting in machine learning.
method Information-theoretic framework measuring algorithm capacity and dataset information transfer.
result Upper-bounding algorithm capacity and establishing its relationship to machine learning quantities.

Multi-expert L2D underfits more severely, requiring new methods.

problem Underfitting in multi-expert L2D settings.
method PiCCE (Pick the Confident and Correct Expert), a surrogate-based method.
result PiCCE effectively reduces multi-expert L2D to a single-expert-like problem, resolving underfitting.

Bayesian deep learning avoids underfitting by projecting onto null space of generalized Gauss-Newton matrix.

problem Bayesian deep learning often underfits, leading to less accurate predictions than point estimates.
method Proposes a matrix-free algorithm to project onto the null space of the generalized Gauss-Newton matrix, ensuring Bayesian predictions do not underfit.
result The method scales to large models, including vision transformers with 28 million parameters, and avoids underfitting.

Post-hoc uncertainty quantification improves on pre-trained neural networks without underfitting.

problem Uncertainty quantification in neural networks is underfitting or computationally demanding.
method Gaussian Process Activation function (GAPA) for neuron-level uncertainty, with two methods: GAPA-Free and GAPA-Variational.
result GAPA-Variational outperforms Laplace approximation on most datasets in uncertainty quantification metrics.

Proposes a new approach to regression learning that addresses overfitting and underfitting.

problem Regression learning issues, including overfitting and underfitting.
method Introduces epsilon-Confidence Approximately Correct (epsilon CoAC) framework using Kullback Leibler divergence.
result Demonstrates improved learnability and accuracy compared to cross-validation.

GWRBoost improves GWR for better spatial relationship quantification.

problem Underfitting in GWR for complex data and lack of explainable quantification.
method Geographically weighted gradient boosting model using localized additive model and gradient boosting optimization.
result Significant improvement in RMSE and AICc compared to classic GWR.

We analyze MDL for binary classification, quantifying overfitting and underfitting.

problem Understanding the trade-off between underfitting and overfitting in MDL for binary classification.
method Complete characterization of the regularization curve for MDL, extending previous work to all λλ.
result Precise quantitative description of the worst case limiting error as a function of λλ and noise level.

Knowledge distillation improves model accuracy by mimicking teacher model probabilities.

problem Improving model accuracy through model compression.
method Casting knowledge distillation as a semiparametric inference problem, deriving new guarantees, and developing enhancements.
result Enhancements improve student performance by mitigating teacher overfitting and underfitting.

This study analyzes VAEs using ID and II, revealing a transition in behaviour and distinct training phases.

problem Understanding the hidden representations and training phases of VAEs.
method Analysis using Intrinsic Dimension (ID) and Information Imbalance (II).
result VAEs exhibit a transition in behaviour and distinct training phases when the bottleneck size exceeds the Intrinsic Dimension of the data.

ResNet models overfit benignly on Cifar10 but not on ImageNet due to label noise.

problem Understanding why benign overfitting fails in real-world classification tasks with label noise.
method Theoretical analysis of benign overfitting under a mild overparameterization setup.
result Benign overfitting can fail in the presence of label noise, unlike in heavy overparameterization settings.

This paper improves Bayesian neural nets by using local linearization.

problem Underfitting in Bayesian neural networks.
method Local linearization of Bayesian neural networks to create a generalized linear model (GLM) for predictions.
result The GLM predictive resolves common underfitting problems of the Laplace approximation.

Proposes a new learning method for RBMs that combines strengths of forward and reverse KLD.

problem Underfitting and mode-collapse issues in RBM learning.
method Ratio divergence learning using target energy.
result Significantly outperforms other learning methods in energy function fitting, mode-covering, and stability.

Causal forests use honesty to reduce overfitting, but it can also reduce accuracy, especially with large datasets.

problem Causal forests' honesty can reduce accuracy of individual treatment effects.
method Using honest estimation to divide data into two samples, one for subgroup definition and another for effect estimation.
result Honest estimation can reduce accuracy by requiring 27% more data to match performance of non-honest models.

Wide BNNs with odd activations fail to approximate data under mean-field inference.

problem Theoretical limitations of mean-field variational inference in wide, deep Bayesian neural networks.
method Analysis of mean-field variational inference in fully-connected BNNs with odd activation functions and Gaussian likelihood.
result The optimal mean-field variational posterior predictive distribution converges to the prior predictive distribution as network width increases.

Improves classifier performance in multi-stage processes with adversarial autoencoders and multi-task learning.

problem Challenges in training classifiers due to varying sample sizes and information content across stages.
method Combines adversarial autoencoders, multi-task learning, and semi-supervised learning to address underfitting and overfitting.
result Our approach outperforms state-of-the-art methods across different domains.

Double descent observed in tree-based models for genomic prediction.

problem Understanding the generalization behavior of tree-based models in machine learning.
method Systematic variation of model complexity in a genomic prediction task using whole-genome sequencing data.
result Double descent emerges only when complexity is scaled jointly across learner capacity and ensemble size.

GANs trained on artificial datasets avoid dataset biases, revealing generative model weaknesses.

problem GANs trained on real datasets often underfit or overfit, making analysis difficult.
method Trained GANs on artificial datasets with infinite samples and simple distributions.
result GANs fail to learn optimal parameters, suggesting limitations in generative models.

Supervised (linear) embedding models like Wsabie and PSI have proven successful at ranking, recommendation and annotation tasks. However, despite being scalable to large datasets they do not take full advantage of the extra data due to their linear nature, and typically underfit. We propose a new class of models which …

2013-01-17abs ↗pdf ↗

We propose Learned Accept/Reject Sampling (LARS), a method for constructing richer priors using rejection sampling with a learned acceptance function. This work is motivated by recent analyses of the VAE objective, which pointed out that commonly used simple priors can lead to underfitting. As the distribution induced …

2018-10-26abs ↗pdf ↗

This chapter provides a self-contained introduction to the use of Bayesian inference to extract large-scale modular structures from network data, based on the stochastic blockmodel (SBM), as well as its degree-corrected and overlapping generalizations. We focus on nonparametric formulations that allow their inference i…

2017-05-29abs ↗pdf ↗

Statistical shape models enhance machine learning algorithms providing prior information about deformation. A Point Distribution Model (PDM) is a popular landmark-based statistical shape model for segmentation. It requires choosing a model order, which determines how much of the variation seen in the training data is a…

2018-08-01abs ↗pdf ↗

This work considers the problem of binary classification: given training data x1,,xnx_1, \dots, x_n from a certain population, together with associated labels y1,,yn{0,1}y_1,\dots, y_n \in \left\{0,1 \right\}, determine the best label for an element xx not among the training data. More specifically, this work considers a variant o…

2016-07-01abs ↗pdf ↗

The paper analyzes and mitigates biases in scalable Gaussian Process methods.

problem Modeling biases in scalable Gaussian Process methods.
method Randomized truncation estimators to eliminate bias in exchange for increased variance.
result Randomized truncation estimators meaningfully outperform biased counterparts with minimal additional computation.

In few-shot learning, typically, the loss function which is applied at test time is the one we are ultimately interested in minimising, such as the mean-squared-error loss for a regression problem. However, given that we have few samples at test time, we argue that the loss function that we are interested in minimising…

2019-11-29abs ↗pdf ↗

Neural Processes (NPs) (Garnelo et al 2018a;b) approach regression by learning to map a context set of observed input-output pairs to a distribution over regression functions. Each function models the distribution of the output given an input, conditioned on the context. NPs have the benefit of fitting observed data ef…

2019-01-17abs ↗pdf ↗

Variational autoencoders optimize an objective that combines a reconstruction loss (the distortion) and a KL term (the rate). The rate is an upper bound on the mutual information, which is often interpreted as a regularizer that controls the degree of compression. We here examine whether inclusion of the rate also acts…

2019-11-11abs ↗pdf ↗

The paper addresses the invariance issue in Bayesian neural networks using linearized Laplace approximation.

problem Bayesian neural networks fail to maintain invariance under reparameterization, leading to different posterior densities for identical functions.
method Developed a geometric view of reparameterizations and a Riemannian diffusion process to extend reparameterization invariance to neural network predictive.
result Empirically improved posterior fit through approximate posterior sampling.

New method selects optimal bandwidth for price return density estimation, impacting efficient market hypothesis evaluation.

problem Estimating the complexity of price return distributions using kernel density estimation.
method Proposes a new complexity measure to select optimal bandwidth, avoiding overfitting and underfitting.
result Optimal bandwidth selection leads to clearer evaluation of the efficient market hypothesis.