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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.

169,051 papers · 148 categories

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71142213284 · Jun 202019922001200920182026
48 results for tuplemax loss

A new loss function αα-loss bridges log-loss and 00-11 loss for binary classification.

problem Improving binary classification performance using a tunable loss function.
method Introducing αα-loss, proving its margin-based form and classification-calibration, and providing an upper bound on empirical risk.
result Empirical and expected risk difference upper bound for logistic regression-based classification.

We study losses for binary classification and class probability estimation and extend the understanding of them from margin losses to general composite losses which are the composition of a proper loss with a link function. We characterise when margin losses can be proper composite losses, explicitly show how to determ…

2009-12-17abs ↗pdf ↗

Unified surrogate loss framework for multi-label learning with strong consistency guarantees.

problem Improving consistency and accounting for label correlations in multi-label learning.
method Introducing multi-label logistic loss and extending it to comprehensive multi-label comp-sum losses, proving strong consistency guarantees for any multi-label loss.
result Unified surrogate loss framework benefiting from strong consistency guarantees for any multi-label loss.

Visualizes basins of attraction for neural network loss functions.

problem Understanding the nature of neural network loss surfaces and basins of attraction.
method Gradient-based random sampling to visualize basins of attraction and stationary points.
result Entropic loss has a more searchable landscape with fewer stationary points than quadratic loss.

This work generalizes calibeating for a broader range of proper losses using Bregman divergence.

problem Calibration for a wide range of proper losses beyond Brier and log loss.
method Regret minimization based on Bregman divergence for a family of proper losses.
result U-calibration results for a family of Tsallis losses with logarithmic regret and dimension independence.

Proposes squentropy loss for improved classification accuracy and model calibration.

problem Theoretical and empirical evidence for cross-entropy loss is lacking.
method Introduces squentropy loss as the sum of cross-entropy and average square loss over incorrect classes.
result Squentropy loss outperforms cross-entropy and rescaled square losses in classification accuracy and model calibration.

The study analyzes a model for aggregate losses with dependent and overdispersed inter-losses times.

problem Analyzing aggregate loss models with dependent and overdispersed inter-losses times.
method The study uses a two-state Markovian arrival process (MAP2) and a Markov renewal process to model the inter-losses times. Severities are modeled using a heavy-tailed, double-Pareto Lognormal distribution. The model is estimated via direct maximization of the likelihood function.
result The model with dependence and overdispersion in inter-losses times leads to higher capital charges compared to a Poisson process.

Logitron combines Perceptron and logistic loss for improved classification.

problem Non-convex and non-smooth zero-one loss function in classification models.
method Introduces a Perceptron-augmented convex classification framework with an extended logistic loss function.
result Hinge-Logitron outperforms logistic regression and SVM in classification accuracy.

Two new algorithms improve performance in adversarial bandits with unbounded losses.

problem Adversarial Multi-Armed Bandits with unbounded losses.
method Developed UMAB-NN and UMAB-G for non-negative and general unbounded losses respectively.
result UMAB-NN achieves the first adaptive and scale-free regret bound for non-negative unbounded losses.

Paper explores connections between loss functions and consistency in binary classification and regression.

problem Consistency in binary classification and regression applications.
method Characterization of conformable loss functions and derivation of a new Huber-type loss function.
result Margin-based loss functions are equivalent to loss functions of squared standardized logistic regression residuals.

Theoretical analysis of cross-entropy loss functions and their robustness.

problem Guarantees for using cross-entropy as a surrogate loss function.
method Theoretical analysis of a broad family of loss functions, including cross-entropy.
result First HH-consistency bounds for comp-sum losses and smooth adversarial comp-sum losses.

A new loss function α\alpha-loss improves classification robustness and calibration.

problem Improving classification robustness and calibration in machine learning.
method Introduces a tunable loss function α\alpha-loss, parameterized by α\alpha, and analyzes its theoretical and practical properties.
result The α\alpha-loss function can improve model robustness to label flips and sensitivity to imbalanced classes.

This paper improves operational risk modeling by selecting better loss severity distributions.

problem Inconsistent regulatory capital calculations due to changing loss severity distribution families.
method Presented truncation probability estimates and a consistent quantile scoring function for selection criteria. Also, recommended collecting loss frequencies below the minimum reporting threshold.
result More stable regulatory capital calculations through better selection of loss severity distributions.

This paper improves loss functions for deep learning with noisy labels.

problem Training deep neural networks with noisy labels.
method The paper introduces a normalization technique to make any loss function robust to noisy labels and proposes a framework called Active Passive Loss (APL) to combine robust loss functions.
result The proposed APL framework consistently outperforms state-of-the-art methods, especially under high noise rates.

Introduces MWLD to measure loss inequality across groups.

problem Machine learning's focus on average loss can lead to large group loss discrepancies.
method Defines MWLD, relates it to fairness and robustness, and provides estimation methods.
result MWLD can be estimated efficiently under certain weighting functions and reduces loss variance without significant accuracy loss.

We study cross-country GDP losses due to financial crises in terms of frequency (number of loss events per period) and severity (loss per occurrence). We perform the Loss Distribution Approach (LDA) to estimate a multi-country aggregate GDP loss probability density function and the percentiles associated to extreme eve…

2012-01-04abs ↗pdf ↗

The paper explores transferability of adversarial examples between convex and 01 loss models, finding non-transferability due to different decision boundaries caused by outliers.

problem Transferability of adversarial examples between convex and 01 loss models.
method Empirical study of transferability between linear 01 loss and convex (hinge) loss models, and between neural networks with different activation functions.
result Adversarial examples are non-transferable between convex and 01 loss models due to different decision boundaries caused by outliers.

Symmetrizes loss functions to improve neural network robustness against noisy labels.

problem Designing robust loss functions for noisy labels in neural networks.
method Symmetrization of multi-class loss functions, focusing on cross-entropy and unhinged loss.
result The multi-class unhinged loss is the unique convex symmetric loss under suitable assumptions.

The study explores loss functions for learning distributions, finding the log loss and others are sufficient under certain conditions.

problem Understanding loss functions for distribution learning and density estimation.
method An axiomatic approach to design loss functions, proposing criteria and showing that no single loss function satisfies all criteria.
result No loss function satisfies all criteria, but the log loss and others do under the condition of candidate distributions being calibrated.

A new loss function improves classification accuracy in imbalanced datasets.

problem Suboptimal decision boundaries in classification with average, maximal, and average top-kk losses.
method Proposes a new classification objective called the close-kk aggregate loss, which minimizes the loss for points close to the decision boundary.
result Close-kk aggregate loss achieves significant gains in 0-1 test accuracy compared to average, maximal, and average top-kk losses.

EnsLoss combines multiple loss functions to prevent overfitting in classification.

problem Preventing overfitting in classification models.
method EnsLoss is an ensemble method that combines loss functions, ensuring calibration and consistency.
result EnsLoss improves classification accuracy compared to fixed loss methods.

Study compares metric learning loss functions for speaker verification.

problem Comparing metric learning loss functions for end-to-end speaker verification.
method Cross entropy loss, cosine loss, angular margin loss, center loss, contrastive loss, triplet loss.
result Additive angular margin loss outperforms other loss functions.

SoftAdapt dynamically adjusts loss weights for multi-part functions.

problem Slow convergence and poor weight selection for multi-part loss functions.
method SoftAdapt dynamically changes weights based on live performance statistics.
result Improved convergence and better weight selection for multi-part loss functions.

In this work, we introduce the {\em average top-kk} (\atk) loss as a new aggregate loss for supervised learning, which is the average over the kk largest individual losses over a training dataset. We show that the \atk loss is a natural generalization of the two widely used aggregate losses, namely the average loss a…

2017-05-24abs ↗pdf ↗

Novel approach embeds loss tunnels in neural networks, revealing insights into their structure.

problem Understanding the structure of neural network loss surfaces, especially low-loss tunnels.
method Directly embedding loss tunnels into the loss landscape of neural networks.
result Improved insights into the length and structure of loss tunnels, and better subspace inference in Bayesian neural networks.

We establish linear regret bounds for convex smooth losses using Fenchel-Young losses.

problem Establishing linear regret bounds for convex smooth losses.
method Constructing a convex smooth surrogate loss using Fenchel-Young losses generated by the convolutional negentropy.
result We derive a smooth loss with a linear surrogate regret bound.

A hybrid loss framework improves time series forecasting by balancing global and component errors.

problem Current time series methods may prioritize less significant sub-series, leading to forecasting bias.
method Proposes a hybrid loss framework combining global and component losses, dynamically adjusting weights.
result Improves time series forecasting performance by 0.5-2% on average.

Establishes a condition for multiclass classification-calibration of Gamma-Phi losses.

problem Ensuring classification-calibration of multiclass Gamma-Phi losses.
method Develops a general sufficient condition for classification-calibration of Gamma-Phi losses.
result Proves the first family of nonconvex multiclass surrogate losses for which classification-calibration has been fully justified.

Unhinged loss minimization fails to improve classifier accuracy for simple data.

problem Accuracy of classifiers minimizing the unhinged loss.
method Minimizing the unhinged loss function.
result Minimizing the unhinged loss yields classifiers with accuracy no better than random guessing for simple data.

New loss functions based on f-divergences improve language model performance.

problem Improving multiclass classification and language modeling performance.
method Constructing new convex loss functions using f-divergences and deriving an operator for computation.
result The αα-divergence loss function with α=1.5α=1.5 performs well across various tasks.

Gradient descent implicitly follows regularization for general losses.

problem The implicit bias of gradient descent methods in machine learning.
method Empirical risk minimization over linear predictors with arbitrary convex, strictly decreasing losses.
result Gradient descent and regularization paths converge to the same direction for non-attained risks.

AUC (area under ROC curve) is an important evaluation criterion, which has been popularly used in many learning tasks such as class-imbalance learning, cost-sensitive learning, learning to rank, etc. Many learning approaches try to optimize AUC, while owing to the non-convexity and discontinuousness of AUC, almost all …

2012-08-03abs ↗pdf ↗

New PG losses improve decision optimization in misspecified models.

problem Improving decision optimization in models that are not perfectly specified.
method Introducing Perturbation Gradient (PG) losses to connect decision loss with directional derivatives and optimizing using gradient techniques.
result PG losses yield best-in-class policies asymptotically, even in misspecified settings.