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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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135271406541 · Jun 202019922001200920182026
48 results for gradient priors

Improves black-box adversarial attacks with a transfer-based prior.

problem Low attack success rates and poor query efficiency in black-box adversarial attacks.
method P-RGF method that integrates a transfer-based prior and query information.
result Significantly reduces the number of queries needed for successful attacks.

Improved deep learning models using new attribution priors and expected gradients.

problem Improving interpretability and performance of deep learning models.
method Introducing new attribution priors and expected gradients method that satisfies interpretability axioms.
result Improves model performance across various real-world tasks.

This paper analyzes and guarantees convergence of prior-guided ZO algorithms.

problem Understanding convergence properties of prior-guided zeroth-order optimization algorithms.
method Analysis of convergence under a greedy descent framework with various gradient estimators, and development of ARS algorithm.
result Convergence guarantee for prior-guided random gradient-free (PRGF) algorithms and accelerated random search (ARS) algorithm.

The paper deals with learning probability distributions of observed data by artificial neural networks. We suggest a so-called gradient conjugate prior (GCP) update appropriate for neural networks, which is a modification of the classical Bayesian update for conjugate priors. We establish a connection between the gradi…

2018-02-07abs ↗pdf ↗

Bayesian approach improves deep image prior for image reconstruction.

problem Improving performance of deep image prior for image reconstruction tasks.
method Derive Bayesian approach using stochastic gradient Langevin, showing asymptotic equivalence to Gaussian process prior.
result Improves denoising and impainting results for image reconstruction tasks.

Bayesian priors for neural networks are improved by incorporating weight correlations and tail behavior.

problem Improving Bayesian priors for neural networks to better reflect true beliefs and performance.
method Analyzed summary statistics of neural network weights in different architectures and incorporated these observations into new priors.
result Improved performance on image classification datasets by using new priors that account for weight correlations and tail behavior.

DP-RandP improves privacy-utility tradeoff in DP-SGD by learning priors from random processes.

problem Improving the performance of differentially private stochastic gradient descent (DP-SGD) on private data.
method A three-phase approach that learns priors from images generated by random processes and transfers these priors to private data.
result New state-of-the-art accuracy on CIFAR10, CIFAR100, MedMNIST, and ImageNet for various privacy budgets.

Proposes using equivariant generative models for compressed sensing with unknown orientations.

problem Recovering signals with unknown orientations from underdetermined systems of linear measurements.
method Equivariant variational autoencoder as a generative prior for compressed sensing.
result Signals with unknown orientations can be recovered using iterative gradient descent on the latent space of equivariant models.

New approach to neural networks by incorporating observation noise and arbitrary prior means.

problem Misspecification on noisy data and limitations of NTK-GP equivalence.
method Introducing a regularizer for observation noise and proposing a shifted network for arbitrary prior means.
result Removes key obstacles to practical Gaussian process modeling in neural networks.

New algorithms adapt to both gradient norms and comparator norms in online learning.

problem Adapting to both gradient norms and comparator norms in online learning.
method Developed parameter-free and scale-free algorithms for unbounded online convex optimization.
result Improved regret bounds for scale-invariant online prediction with linear models.

Study MAP estimation for PnP priors with SGD, proving convergence and demonstrating practical applications.

problem Theoretical analysis and practical implementation of PnP priors for Bayesian imaging problems.
method Maximum-a-posteriori estimation with Plug & Play priors and stochastic gradient descent.
result Convergence proof for MAP computation by PnP-SGD under realistic assumptions on the denoiser.

Develops a simulation-based method to translate expert knowledge into prior distributions for Bayesian models.

problem Effective incorporation of expert knowledge into prior distributions for diverse model structures.
method Simulation-based stochastic gradient descent to learn hyperparameters of parametric priors from expert knowledge.
result Method is adaptable to various elicitation techniques and independent of model structure.

New method uses deep learning to solve linear inverse problems.

problem Solving linear inverse problems with high-dimensional signals.
method Stochastic coarse-to-fine gradient ascent procedure using implicit prior from denoising CNN.
result General algorithm for solving linear inverse problems without additional training.

New algorithm uses untrained neural networks for image recovery, offering better compression.

problem Using untrained neural networks for image recovery and theoretical guarantees.
method Projected gradient descent scheme for solving linear and non-linear inverse problems.
result The method achieves better compression rates for the same image quality compared to hand-crafted priors.

The paper proposes a method to learn differentially private variational autoencoders with term-wise gradient aggregation.

problem Learning variational autoencoders with differential privacy constraints and multiple divergences.
method Term-wise Differentially Private SGD (DP-SGD) that crafts randomized gradients for each loss term, keeping sensitivity at O(1).
result The method reduces the amount of noise needed for differential privacy, allowing better learning.

New priors for deep neural networks converge to Gaussian processes.

problem Improving the performance and stability of deep neural networks.
method Extending prior distributions to include non-zero means and partially exchangeable priors, leading to a new Gaussian process model.
result The new Gaussian process model avoids pathologies and improves performance on regression problems.

Two new estimators improve VAE training for hierarchical and prior parameters.

problem Efficient gradient estimation for VAEs with hierarchical and prior parameters.
method Developed two generalizations of Doubly-Reparameterized Gradient Estimators (DReGs) for VAEs.
result Improved training of conditional and hierarchical VAEs on image modeling tasks.

The vast majority of optimization and online learning algorithms today require some prior information about the data (often in the form of bounds on gradients or on the optimal parameter value). When this information is not available, these algorithms require laborious manual tuning of various hyperparameters, motivati…

2017-03-07abs ↗pdf ↗

This paper distills financial indicators into neural networks to reduce noise and improve accuracy.

problem Reduction of non-stationary noise in financial time series data.
method Co-distillation of smaller networks trained on indicators to transfer prior knowledge and reduce overfitting.
result The proposed method outperforms traditional methods in terms of speed and accuracy on real financial datasets.

This paper solves quadratic systems with sparse or generative priors.

problem Recovering signals from quadratic systems with full-rank matrices.
method Thresholded Wirtinger flow (TWF) and projected gradient descent (PGD) algorithms.
result The proposed methods significantly outperform existing algorithms in signal recovery.

Transformer-based method for causal discovery with prior knowledge integration.

problem Complex nonlinear dependencies and spurious correlations in time series data.
method Multi-layer Transformer forecaster with gradient-based causal structure extraction and attention masking for prior knowledge integration.
result Significant improvement in causal discovery and causal lag estimation compared to state-of-the-art methods.

New methods combine MALA and mGRAD for scalable Bayesian inference in high-dimensional state-space models.

problem Bayesian inference in high-dimensional state-space models with limited scalability.
method Combines gradient-based MALA and prior-informed mGRAD for scalable inference.
result Extends classical MCMC methods to handle multiple time steps and particles.

Adam converges with high probability under unconstrained non-convex smooth stochastic optimizations.

problem Theoretical limitations of Adam's convergence under unconstrained non-convex smooth stochastic optimizations.
method Deep analysis of Adam's convergence rate under affine variance noise, without bounded gradient assumptions.
result Adam converges to the stationary point with a high probability rate of $\mathcal{O}\left({ m poly}(\log T)/\sqrt{T} ight)$.

New attack recovers user-level information from large batch images.

problem Recovering private information from user-level gradients in distributed learning.
method Proposes a gradient inversion attack using a denoising diffusion model as a prior.
result Demonstrates recovery of realistic facial images and private attributes.

P-BO reduces black-box adversarial attacks by 10x with Bayesian optimization and function prior.

problem Efficiently generating adversarial examples against black-box models.
method Prior-guided Bayesian Optimization (P-BO) with a function prior initialized from a surrogate model.
result Significantly reduces the number of queries needed for adversarial attacks.

Gradient descent reveals the exact implicit bias via dual optimization for linearly separable data.

problem Characterizing the implicit bias of gradient descent on linearly separable data.
method Primal-dual analysis with smoothed margin for general losses, and exponential loss with specific step sizes.
result Proves faster convergence rates for implicit bias and margin maximization.

Gradient descent recovers low-rank matrices from corrupted measurements with double over-parameterization.

problem Robust recovery of low-rank matrices from grossly corrupted measurements.
method Gradient descent with discrepant learning rates for double over-parameterized models.
result Gradient descent with discrepant learning rates provably recovers the underlying matrix without prior knowledge on rank or sparsity.

Unified framework reduces NFEs for inverse problems.

problem High computational costs and degraded reconstruction quality in existing LDM-based inverse solvers.
method Consistency Regularised Gradient Flows for posterior sampling and prompt optimization.
result Significantly reduced computational cost with state-of-the-art performance.

fBNNs use stochastic processes for variational inference in neural networks.

problem Difficulties in specifying priors and posteriors in high-dimensional weight spaces.
method Maximize Evidence Lower Bound (ELBO) on stochastic processes, using spectral Stein gradient estimator.
result fBNNs provide reliable uncertainty estimates and extrapolate well with structured priors.

Gradient descent and SGD achieve low test error in specific network weight regimes.

problem Optimizing two-layer ReLU networks with standard initialization.
method Gradient flow and stochastic gradient descent, analyzing margins and weight norms.
result Gradient descent and SGD can achieve globally maximal margins under certain constraints.