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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.

168,695 papers · 148 categories

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51102152203 · Jun 202019922001200920172026
48 results for noise compression

Proposes a method to improve Byzantine-robustness in compressed federated learning.

problem Byzantine-robustness in compressed federated learning.
method Gradient difference compression and stochastic average gradient algorithm (SAGA).
result The proposed method reaches a neighborhood of the optimal solution at a linear convergence rate.

BNCR-GAN improves GANs to generate clean images from degraded inputs.

problem Generating clean images from blurred, noisy, and compressed degraded inputs.
method Multiple-generator model with image, blur-kernel, noise, and quality-factor generators, using masking architectures and adaptive consistency losses.
result BNCR-GAN effectively learns clean image generators from degraded images without degradation parameters.

Unified framework for distributed compressed SGD under (L0,L1)(L_0, L_1)-smoothness.

problem Understanding the joint effect of batch noise, adaptivity, and compression in distributed stochastic optimization.
method Developed a unified theoretical framework using SDEs that incorporate curvature-dependent terms.
result Normalizing updates in DCSGD stabilizes convergence, with normalization degree determined by noise structure and landscape regularity.

Compression is at the heart of effective representation learning. However, lossy compression is typically achieved through simple parametric models like Gaussian noise to preserve analytic tractability, and the limitations this imposes on learning are largely unexplored. Further, the Gaussian prior assumptions in model…

2019-04-15abs ↗pdf ↗

SignSGD analysis quantifies its effects in high dimensions.

problem Understanding signSGD's effects in high-dimensional settings.
method High-dimensional analysis of signSGD, deriving SDE and ODE for risk.
result Quantification of signSGD's effects: effective learning rate, noise compression, diagonal preconditioning, gradient noise reshaping.

Gradient sparsification enhances privacy-preserving machine learning models.

problem Improving performance of differentially-private machine learning models under privacy constraints.
method Gradient sparsification combined with compressed sensing and additive Laplace noise.
result Gradient sparsification can improve performance of differentially-private machine learning models for small privacy budgets.

Compressed LLM embeddings improve noisy regression tasks without overfitting.

problem Noisy regression tasks with high signal-to-noise ratios.
method Comparison of embedding compression techniques using autoencoder hidden representations.
result Compression improves performance on noisy tasks like financial return prediction.

We extend quantization-aware training to extreme model compression.

problem Maximizing model accuracy with minimal model size.
method Quantize a random subset of weights during training, allowing unbiased gradients through other weights.
result Established new state-of-the-art compromises between accuracy and model size.

New findings show learnable distributions remain learnable even with noisy or adversarial perturbations.

problem Learning from perturbed samples in high-dimensional spaces.
method Developed a perturbation-quantization framework to analyze additive noise and adversarial corruption models.
result Sample compressible families remain learnable even under noisy or adversarial perturbations.

The paper provides theoretical guarantees for optimized sampling in compressed sensing, showing error vanishes with more measurements.

problem Theoretical and practical improvements in compressed sensing with optimized sampling schemes.
method Theoretical analysis and empirical experiments with optimized sampling schemes for subsampled unitary matrices.
result The error caused by measurement noise vanishes with an increasing number of measurements for optimized sampling schemes, assuming Gaussian noise.

We provide recovery guarantees for compressible signals that have been corrupted with noise and extend the framework introduced in \cite{bafna2018thwarting} to defend neural networks against 0\ell_0-norm, 2\ell_2-norm, and \ell_{\infty}-norm attacks. Our results are general as they can be applied to most unitary tr…

2019-07-15abs ↗pdf ↗

Randomized matrix compression techniques, such as the Johnson-Lindenstrauss transform, have emerged as an effective and practical way for solving large-scale problems efficiently. With a focus on computational efficiency, however, forsaking solutions quality and accuracy becomes the trade-off. In this paper, we investi…

2015-10-16abs ↗pdf ↗

We provide a comprehensive review of classical algorithms for compressive sensing of images, focused on Total variation methods, with a view to application in LiDAR systems. Our primary focus is providing a full review for beginners in the field, as well as simulating the kind of noise found in real LiDAR systems. To t…

2019-08-05abs ↗pdf ↗

Improved diffusion models achieve state-of-the-art likelihoods in image density estimation.

problem Improving likelihood-based performance of diffusion models.
method Joint optimization of noise schedule and model parameters, using signal-to-noise ratio simplification.
result State-of-the-art likelihoods on image density estimation benchmarks, faster optimization.

Unified sign-based compression for federated learning with faster convergence.

problem High communication cost in federated learning with large-scale models.
method Unified noisy perturbation scheme for sign-based compression.
result Achieves faster convergence rate than existing sign-based methods.

Paper analyzes convergence rates of compressed LSR algorithms in federated learning.

problem Impact of compression on convergence rates in distributed learning.
method Analyzes a general stochastic approximation algorithm for LSR with weak assumptions.
result Convergence rates depend on the covariance of additive noise and compression strategy.

NAC-FL optimizes model updates in FL systems by adapting compression to network congestion.

problem Federated Learning systems face congestion and delays in data exchanges.
method NAC-FL dynamically adjusts client compression based on network congestion.
result NAC-FL reduces training time and achieves robust performance improvements.

A new memory-efficient Adam variant reduces second moments when feasible.

problem Memory constraints in training machine learning models.
method Signal-to-Noise Ratio (SNR) analysis to identify dimensions where second moments can be replaced by means.
result Memory-efficient Adam variant (SlimAdam) matches performance and stability of Adam while saving up to 98% of second moments.

FedSGM tackles constrained federated learning with unified framework.

problem Functional constraints, communication bottlenecks, local updates, and partial client participation in federated learning.
method Unified framework based on switching gradient method, incorporating bi-directional error feedback, and soft switching for stability.
result Achieves O(1/T)\boldsymbol{\mathcal{O}}(1/\sqrt{T}) convergence rate with high-probability bounds decoupling from sampling noise.

This paper proposes a simple adaptive sensing and group testing algorithm for sparse signal recovery. The algorithm, termed Compressive Adaptive Sense and Search (CASS), is shown to be near-optimal in that it succeeds at the lowest possible signal-to-noise-ratio (SNR) levels, improving on previous work in adaptive comp…

2013-06-26abs ↗pdf ↗

AdaBoost improves binary classification in robust one-bit compressed sensing with adversarial errors.

problem Binary classification in robust one-bit compressed sensing with adversarial errors.
method AdaBoost and max-1\ell_1-margin-classifier approach, with convergence rates improved under certain feature conditions.
result Improved convergence rates and explanation for harmless interpolating adversarial noise.

Artemis framework improves distributed learning with bidirectional compression and partial participation.

problem Learning in distributed or federated settings with communication constraints and device partial participation.
method Artemis framework using bidirectional compression, memory mechanism, and Polyak-Ruppert averaging.
result Fast rates of convergence (linear up to a threshold) under weak assumptions on stochastic gradients.

The paper proposes a least squares method for binary compressive sampling with low intrinsic dimension signals.

problem Recovering signals from binary measurements with noise and sign flips.
method Least squares decoder for signals with low generative intrinsic dimension.
result The least squares decoder achieves a sharp estimation error of O(klog(Ln)m)O(\sqrt{\frac{k\log (Ln)}{m}}) under certain conditions.

In this paper, we derive Hybrid, Bayesian and Marginalized Cramér-Rao lower bounds (HCRB, BCRB and MCRB) for the single and multiple measurement vector Sparse Bayesian Learning (SBL) problem of estimating compressible vectors and their prior distribution parameters. We assume the unknown vector to be drawn from a compr…

2012-02-06abs ↗pdf ↗

We propose a joint source and channel coding (JSCC) technique for wireless image transmission that does not rely on explicit codes for either compression or error correction; instead, it directly maps the image pixel values to the complex-valued channel input symbols. We parameterize the encoder and decoder functions b…

2018-09-04abs ↗pdf ↗

Improves convergence speed in compressive sensing with a new probabilistic approach.

problem Efficiently solving the best subset selection problem in compressive sensing.
method Smooth probabilistic reformulation of 0\ell_0 regularized regression.
result Empirically outperforms existing compressive sensing algorithms across various settings.

Datasets such as images, text, or movies are embedded in high-dimensional spaces. However, in important cases such as images of objects, the statistical structure in the data constrains samples to a manifold of dramatically lower dimensionality. Learning to identify and extract task-relevant variables from this embedde…

2019-06-02abs ↗pdf ↗