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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.

169,341 papers · 148 categories

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6231,2451,8682,490 · Jun 202019922001200920182026
48 results for Stability in training

Weight decay stabilizes training dynamics by slowing progressive sharpening.

problem Understanding how weight decay affects training stability in deep learning models.
method Analyzing weight decay effects at the Edge of Stability, developing a mathematical framework.
result Weight decay dampens oscillations and stabilizes sharpness in CNNs, causing a phase transition in MLPs.

Stability training improves deep neural networks' robustness without data augmentation.

problem Improving deep neural networks' robustness against input perturbations.
method Stability training as an alternative to data augmentation.
result Stability training outperforms data augmentation in specific transformations and offers improved robustness against a broader range of distortions.

GNMR controls runtime stability in low-precision language model training.

problem Efficient low-precision training faces numerical risks at specific operators.
method GNMR compares gradient norms to historical means, applying bounded recovery actions.
result GNMR preserves high-fidelity quality with sparse, budgeted recovery.

Gradient descent at edge of stability stabilizes implicitly, following projected gradient descent.

problem Gradient descent's stability and sharpness behavior at the edge of instability.
method Cubic Taylor expansion analysis of gradient descent dynamics.
result Gradient descent at edge of stability implicitly follows projected gradient descent.

AOPU stabilizes NN training by approximating natural gradient, improving stability and convergence.

problem Stability and interpretability in online NN training for industrial soft sensors.
method AOPU truncates gradient backpropagation, optimizing trackable parameters, and approximating natural gradient.
result AOPU achieves stable convergence and superior performance on chemical process datasets.

This paper extends stability analysis to non-convergent neural network training.

problem Generalization of neural networks whose training does not converge to fixed points.
method Introduces statistical algorithmic stability (SAS) to study non-convergent algorithms and their generalization.
result Stability of non-convergent training dynamics correlates with generalization performance.

Gradient descent on neural nets often operates at the Edge of Stability, where loss behavior is complex but loss decreases over time.

problem Understanding the optimization dynamics of neural networks at the Edge of Stability.
method Empirical demonstration of gradient descent behavior in neural network training.
result Gradient descent on neural networks typically occurs at the Edge of Stability, where loss behavior is non-monotonic but loss decreases over time.

Framework increases neural net stability through adversarial training and robust optimization.

problem Increasing local stability of neural nets to improve robustness against adversarial attacks.
method Alternating minimization-maximization procedure with perturbed examples.
result Improves robustness and accuracy of neural nets against adversarial examples.

We explore in some detail the notion of algorithmic stability as a viable framework for analyzing the generalization error of learning algorithms. We introduce the new notion of training stability of a learning algorithm and show that, in a general setting, it is sufficient for good bounds on generalization error. In t…

2012-12-12abs ↗pdf ↗

Stabilizes complex systems using diffusion models trained on Lyapunov functions.

problem Generating stabilizing controllers for complex dynamical systems.
method Trains a diffusion model on pairs of asymptotically stable vector fields and their Lyapunov functions to identify the closest stable field and adjust control functions.
result Efficient and rapid stabilization of unseen systems, showcasing generalizability.

We improve neural network robustness verification by training for faster stability.

problem Efficient verification of adversarial robustness in deep networks.
method Co-design of weight sparsity and ReLU stability to simplify verification.
result Improving ReLU stability leads to a 4-13x speedup in verification times.

The study identifies conditions under which algorithmic stability explains generalization in interpolating learning systems.

problem Understanding when algorithmic stability explains generalization in interpolating learning systems.
method Modeling training as a function-space trajectory and measuring sensitivity to single-sample perturbations.
result There exist interpolating regimes with small risk where contractive sensitivity cannot hold, showing that stability is not a universal explanation.

Unbalanced GANs stabilize GAN training by pre-training the generator with VAE.

problem Stable training of GANs to avoid mode collapses and improve image quality.
method Pre-train GAN generator with VAE, balance generator and discriminator training, prevent discriminator's early convergence.
result Unbalanced GANs reduce mode collapses and outperform ordinary GANs in stability, convergence, and image quality.

The paper derives uniform stability-based coverage bounds for conformal prediction methods.

problem Establishing theoretical guarantees for conformal prediction methods.
method Uniform stability perspective applied to full-conformal, jackknife+, and CV+ prediction regions.
result Coverage bounds for finite-dimensional models derived using a concentration argument.

Stochastic ensembling improves stability in training Generative Adversarial Networks.

problem Oscillation, mode collapse, and imbalance between generator and discriminator.
method Stochastic ensembling of neural networks.
result Improves stability and learning capacity of GANs.

Unsupervised learning finds features for better generalization in block stability prediction.

problem Improving generalization to unseen scenarios in block stability prediction.
method Training an unsupervised model to predict future frames of stable and unstable block configurations.
result Unsupervised model features support extrapolating stability prediction to unseen block configurations.

Study stabilizes adversarial training in neural networks over infinite-dimensional spaces.

problem Stability issues in adversarial training of neural networks.
method Functional analysis of minimax optimization over infinite-dimensional spaces of continuous functions and probability measures.
result Convergence property of minimax problems under certain conditions, interpreted as stabilization techniques.

The study examines instance label stability in MIL classifiers trained on global image annotations.

problem Instance labels in MIL classifiers can be unstable, leading to incorrect fine-grained annotations.
method Investigated instance stability on 5 datasets, proposing an unsupervised measure.
result A performance-stability trade-off can be made when comparing MIL classifiers.

Improved stable RNNs trained faster with less expressibility trade-off.

problem Stable recurrent neural networks are hard to train without sacrificing expressibility.
method Implicit model structure with contraction analysis for stable models.
result Significant increase in training speed and model performance.

New rules found to maintain neural network performance in asynchronous training.

problem Asynchronous training leads to degradation in generalization.
method Examined dynamical stability, derived rules for learning rate adjustment.
result Learning rate should be inversely proportional to delay for high delay values.

Improved GAN training with WN over BN, achieving better quality and stability.

problem Training instability and quality issues in GANs.
method Introduced Weight Normalization (WN) and a new objective measure for evaluation.
result Training using WN is superior to BN, achieving lower reconstruction loss and better qualitative results.

The study analyzes sharpness dynamics in neural networks, revealing mechanisms and conditions.

problem Understanding sharpness in neural network training.
method Fixed point analysis and edge of stability analysis in a simplified 2-layer linear network.
result Reveals mechanisms behind sharpness trends, conditions for edge of stability, and a period-doubling route to chaos.

Spectral normalization stabilizes GANs by controlling gradient explosion and vanishing.

problem Stability and sample quality issues in GAN training.
method Spectral normalization controls gradient explosion and vanishing, improving GAN training stability and sample quality.
result Bidirectional Scaled Spectral Normalization (BSSN) outperforms standard spectral normalization in sample quality and training stability.

New stability conditions for ZO methods reveal unique regularization effects.

problem Understanding optimization dynamics of ZO methods in deep learning.
method Explicit step size conditions and stability bounds derived for ZO methods.
result ZO methods operate near the edge of stability, with regularization effects specific to Hessian trace vs. eigenvalue.

We introduce a new parameterization method for deep learning layers using spectral tensor train decomposition.

problem Efficiency and stability in deep learning models with weight matrix compression.
method Spectral Tensor Train Parameterization (STTP) of weight matrices.
result Improved compression and training stability in neural networks.