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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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75149224298 · Jun 202019922001200920172026
48 results for KL Loss

New α\alpha-divergence loss function improves neural density ratio estimation.

problem Optimization challenges in existing DRE methods, especially overfitting and high sample requirements.
method Derived α\alpha-divergence loss function (α\alpha-Div) for neural density ratio estimation.
result The α\alpha-divergence loss function (α\alpha-Div) offers stable and effective optimization for DRE.

EGFs use ergodicity to simplify generative flows for easier training and imitation learning.

problem Challenges in training generative flows, especially in continuous settings and for imitation learning.
method EGFs leverage ergodicity to build simple flows with universality guarantees and tractable FM loss. They introduce a KL-weakFM loss for IL training without a separate reward model.
result EGFs simplify generative flow training and enable effective imitation learning.

We consider the problem of training probabilistic conditional random fields (CRFs) in the context of a task where performance is measured using a specific loss function. While maximum likelihood is the most common approach to training CRFs, it ignores the inherent structure of the task's loss function. We describe alte…

2011-07-09abs ↗pdf ↗

The Dirichlet mechanism protects privacy while minimizing KL divergence.

problem Minimizing KL divergence while protecting sensitive data privacy.
method Using the exponential mechanism with the KL divergence loss function, resulting in the Dirichlet mechanism.
result Proved a probability tail bound on KL divergence and derived a lower bound for sample complexity.

Quantum models face barren plateaus, but specific losses can be trainable.

problem Barren plateaus and loss concentration in quantum generative models.
method Investigated explicit and implicit losses, and their interplay.
result Explicit losses lead to new barren plateaus, while implicit losses can be trainable.

SLERP interpolation optimizes dynamic weight rebalancing in AMMs.

problem Optimizing dynamic weight rebalancing in automated market makers (AMMs).
method Riemannian geometry and SLERP interpolation.
result SLERP interpolation minimizes the KL divergence loss in dynamic weight rebalancing.

New research shows posterior collapse in VAEs isn't just about KL-divergence.

problem Posterior collapse in Variational Autoencoders (VAEs).
method Analyzes the loss surface of deep autoencoder networks and proves the existence of bad local minima.
result Posterior collapse in VAEs is caused by bad local minima, not just KL-divergence.

This work improves online regression and contextual bandits using neural networks.

problem Improving online regression and contextual bandits using neural networks.
method Investigates neural networks for online regression, showing O(logT)\mathcal{O}(\log T) regret for almost convex losses and KL loss.
result Shows ildeO(KL+K) ilde{\mathcal{O}}(\sqrt{KL^*} + K) regret for NeuCB, outperforming existing algorithms.

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.

New bounds close the score matching gap for diffusion models.

problem The difference between sample quality and score matching loss in diffusion models.
method Theoretical analysis of score matching gap, developing tighter bounds for KL divergence, reverse KL divergence, and Wasserstein distance.
result The quality of score approximation impacts closing the score matching gap for low noise scales.

Efficiently addresses federated learning challenges with reduced communication and sample complexity.

problem Heterogeneity in data volumes and distributions at different clients compromises model generalization ability.
method Introduces algorithms for communication-efficient Federated Group Distributionally Robust Optimization (FGDRO).
result Communication complexity reduced to O(1/ε4)O(1/ε^4) for FGDRO-CVaR and O(1/ε3)O(1/ε^3) for FGDRO-KL.

DRO-NPE improves neural posterior estimation by reducing overconfidence and overfitting.

problem Overconfident and unreliable posteriors in simulation-based inference with limited simulation budgets.
method Distributionally robust approach using Wasserstein ambiguity set and KL-based metrics.
result Consistently improves coverage and calibration across benchmark tasks.

The problem of estimating an unknown discrete distribution from its samples is a fundamental tenet of statistical learning. Over the past decade, it attracted significant research effort and has been solved for a variety of divergence measures. Surprisingly, an equally important problem, estimating an unknown Markov ch…

2018-10-28abs ↗pdf ↗

Distributed learning of probabilistic models from multiple data repositories with minimum communication is increasingly important. We study a simple communication-efficient learning framework that first calculates the local maximum likelihood estimates (MLE) based on the data subsets, and then combines the local MLEs t…

2014-10-09abs ↗pdf ↗

Personalized sleep staging achieved with single-night data using KL-divergence regularization.

problem Improving automatic sleep staging accuracy with limited single-night data.
method KL-divergence regularization for transfer learning from a pretrained model to a personalized model.
result Personalized sleep staging accuracy of 79.6% with KL-divergence regularization.

Generalized dual discriminator GANs improve upon traditional GANs by using two discriminators and a flexible loss function.

problem Mode collapse in GANs.
method Introducing dual discriminator αα-GANs and extending the approach to arbitrary functions.
result The approach reduces the optimization problem to a linear combination of an ff-divergence and a reverse ff-divergence.

Our study analyzes how neural network initialization affects privacy and utility in overparameterized models.

problem Privacy and utility trade-off in overparameterized neural networks.
method Analytical proof of KL divergence privacy bound, focusing on initialization, width, and depth.
result Privacy bound improvement with increasing depth under certain initializations, degradation under others.

The paper improves risk certificate tightness for neural networks using PAC-Bayes bounds.

problem Improving the usability of risk certificates for neural networks based on PAC-Bayes bounds.
method Theoretical contributions including KL divergence bounds, efficient methodology for optimization, and methods for optimizing non-differentiable objectives.
result First non-vacuous generalization bounds on CIFAR-10 for neural networks.

Mixability of a loss is known to characterise when constant regret bounds are achievable in games of prediction with expert advice through the use of Vovk's aggregating algorithm. We provide a new interpretation of mixability via convex analysis that highlights the role of the Kullback-Leibler divergence in its definit…

2014-03-10abs ↗pdf ↗

Two synthetic likelihood methods learn EBM of likelihood from simulator data for SBI.

problem Conduct inference from experimental observations using high-fidelity simulators.
method Learn conditional EBM of likelihood using synthetic data conditioned on parameters.
result Learned likelihood combined with prior yields posterior estimate for sampling.

A new method uses MCMC-assisted normalizing flows for efficient Bayesian sampling.

problem Sampling from complex posterior distributions in Bayesian statistics.
method Training a normalizing flow using direct KL divergence and MCMC assistance.
result The method improves sampling efficiency for complicated posterior distributions.

Study optimizes tree-based models for better alignment of predicted scores and actual probabilities.

problem Traditional calibration metrics fail to align predicted scores with actual probabilities when score distributions deviate from the underlying data.
method Optimizes tree-based models (Random Forest, XGBoost) using Kullback-Leibler (KL) divergence to minimize the difference between predicted and true probability distributions.
result Optimized tree-based models yield superior alignment between predicted scores and actual probabilities without significant performance loss.

Optimizes deep neural network initialization variance for better performance.

problem Improving deep neural network performance through optimal initialization variance.
method Using SGD dynamics and Fokker-Planck equations, we study the relationship between initialization and expected loss function.
result An optimal condition for initialization variance that leads to lower training loss and higher test accuracy.

The paper proves learning-curve monotonicity for maximum likelihood estimators in various parametric settings.

problem Establishing monotonicity guarantees for maximum likelihood estimators.
method Variants of GPT-5.2 Pro were used to derive the results.
result The paper proves monotonicity for maximum likelihood estimators in Gaussian and Gamma variables.

TSC uses HMC and adaptive transport maps to optimize forward KL for variational inference.

problem Variational inference underestimates uncertainty when minimizing reverse KL.
method TSC uses Hamiltonian Monte Carlo and adaptive transport maps to optimize KL(p||q).
result TSC achieves competitive performance in training variational autoencoders on large-scale data.

A classic setting of the stochastic K-armed bandit problem is considered in this note. In this problem it has been known that KL-UCB policy achieves the asymptotically optimal regret bound and KL-UCB+ policy empirically performs better than the KL-UCB policy although the regret bound for the original form of the KL-UCB…

2019-03-19abs ↗pdf ↗

Study quantifies model risk in dynamic portfolio selection using KL divergence.

problem Model risk in financial portfolio selection under uncertainty.
method Defined model risk as KL divergence loss, solved nonlinear equations for optimal robust strategy.
result Optimal robust strategy can be obtained semi-analytically in worst case scenario.

The t-distributed Stochastic Neighbor Embedding (t-SNE) is a powerful and popular method for visualizing high-dimensional data. It minimizes the Kullback-Leibler (KL) divergence between the original and embedded data distributions. In this work, we propose extending this method to other f-divergences. We analytically a…

2018-11-03abs ↗pdf ↗

Improved fast rates for decision making with forward-KL regularization in contextual bandits.

problem Improving fast rates for decision making with forward-KL regularization in contextual bandits.
method Streamlined analysis of forward-KL-regularized offline CBs, exploiting the pessimism principle and convex-analytical pipeline.
result First ildeO(ε1) ilde{O}(ε^{-1}) upper bounds in tabular and general function approximation settings.