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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.

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3196389561,275 · Jun 202019922001200920172026
48 results for Data Point Memorization

Generative diffusion models gradually memorize training data, losing independent dimensions.

problem Understanding how generative diffusion models memorize training data, especially on low-dimensional manifolds.
method Measuring latent dimensionality via the learned score field, proposing a geometric memorization theory.
result Generative diffusion models experience a smooth collapse of their capacity to vary across independent directions as data become scarce, leading to near point-wise replication of salient features.

New attack reveals memorization patterns in pre-trained LLMs.

problem Determining if a data point was part of a pre-trained LLM's training set.
method Adapts MIA statistical tests to LLM's perplexity dynamics of subsequences.
result Significantly outperforms prior approaches in membership inference attacks.

The study uncovers the conditions under which diffusion models memorize or generalize.

problem Understanding the balance between memorization and generalization in diffusion models.
method Theoretical and mathematical framework to investigate memorization and generalization in diffusion models.
result Theoretical crossover point predicts a phase transition in diffusion models, validating the hypothesis.

The study examines how shallow neural nets converge to training samples or manifold points during diffusion.

problem Understanding when and how shallow neural nets converge to training samples or manifold points during diffusion.
method Analysis of shallow ReLU neural network denoisers trained with minimal 2\ell^2 norm, comparing score flow and diffusion flow.
result Probability flow converges to training points, sums of training points, or manifold points, depending on the diffusion time scheduler.

Optimal ReLU networks can memorize any separable set of points with a small number of parameters.

problem The optimal number of parameters required to memorize a set of points using ReLU networks.
method Construction of ReLU networks with specific bit complexity to memorize points satisfying a mild separability assumption.
result Optimal ReLU networks can memorize any separable set of points with a number of parameters that is ildeO(N) ilde{O}(\sqrt{N}).

We improve deep threshold networks' memorization capacity exponentially.

problem Memorizing datasets with randomized labels using deep neural networks.
method Using Gaussian random weights in the first layer and binary or integer weights in subsequent layers, we prove a new dependence on minimum distance.
result We show that O~(1δ+n)\widetilde{\mathcal{O}}(\frac{1}{\delta} + \sqrt{n}) neurons and O~(dδ+n)\widetilde{\mathcal{O}}(\frac{d}{\delta} + n) weights are sufficient.

New approach shows data memorization trade-offs in large models.

problem Data memorization in large language models and its privacy implications.
method Developed a new approach using strong data processing inequalities to prove lower bounds on memorization.
result Proved that Ω(d)Ω(d) bits of training data information must be memorized for O(1)O(1) examples, decaying with example growth.

A new model improves recurrent neural networks' ability to memorize long sequences.

problem Improving recurrent neural networks' ability to memorize long sequences and extract task-relevant features.
method Proposes a Linear Memory Network with an encoding-based memorization component and a specialized training algorithm.
result Improves the final performance of recurrent neural networks when memorizing long sequences is necessary.

The paper simplifies influence computations for large-scale machine learning models.

problem Improving training efficiency and accuracy in large-scale models.
method Study influence functions, define memorization, simplify computations.
result Influence functions can be practical for large-scale models, indicating memorization.

LLMs can memorize economic data and recall exact values before their training cutoff.

problem Evaluating the trustworthiness of LLMs' economic forecasts during their training period.
method Demonstrated through counterfactual forecasting and analysis of LLMs' recall ability.
result LLMs have memorized economic and financial data, leading to recall-level accuracy before their knowledge cutoff.

Study shows how deep generative models can memorize data.

problem Understanding and preventing memorization in deep generative models.
method Adapted a memorization measure for unsupervised density estimation and demonstrated its effectiveness.
result Memorization in deep generative models differs from mode collapse and overfitting.

Study shows FL reduces unintended memorization by clustering data and using strong user-level privacy.

problem Unintended memorization in federated learning.
method Examined the effect of clustering data and using strong user-level differential privacy in FL.
result Clustering data and strong user-level differential privacy reduce unintended memorization.

New method reduces memorization in diffusion models without sacrificing image quality.

problem Diffusion models often memorize training data, especially with small datasets.
method Train models using noisy data at large noise scales to reduce memorization.
result Significant reduction in memorization without compromising image quality.

The paper identifies patterns in language model weights used for memorizing paragraphs.

problem Locating the specific mechanisms and weights used by language models to memorize paragraphs.
method Examined gradients and attention patterns in language models to identify memorized paragraphs.
result Gradients of memorized paragraphs have a distinguishable spatial pattern, and localized attention heads are involved in paragraph memorization.

State-of-the-art results on image recognition tasks are achieved using over-parameterized learning algorithms that (nearly) perfectly fit the training set and are known to fit well even random labels. This tendency to memorize the labels of the training data is not explained by existing theoretical analyses. Memorizati…

2019-06-12abs ↗pdf ↗

Consistency distillation reduces memorization in diffusion models without harming sample quality.

problem Understanding how distillation affects memorization in diffusion models.
method Analysis of consistency distillation in diffusion models using a random feature neural network model.
result Consistency distillation reduces memorization in diffusion models without harming sample quality.

Spaced repetition is a technique for efficient memorization which uses repeated, spaced review of content to improve long-term retention. Can we find the optimal reviewing schedule to maximize the benefits of spaced repetition? In this paper, we introduce a novel, flexible representation of spaced repetition using the …

2017-12-05abs ↗pdf ↗

Given data with noisy labels, over-parameterized deep networks can gradually memorize the data, and fit everything in the end. Although equipped with corrections for noisy labels, many learning methods in this area still suffer overfitting due to undesired memorization. In this paper, to relieve this issue, we propose …

2018-09-28abs ↗pdf ↗

Diffusion models can memorize training data, limiting their creativity and privacy.

problem Memorization in diffusion models that reproduces training data instead of generating novel outputs.
method Dual-separation approach via statistical estimation and network approximation.
result Pruning-based method reduces memorization while maintaining generation quality.

Study interprets neural network generalization and memorization on corrupted data.

problem Understanding when a neural network has memorized corrupted data versus learned the underlying rule.
method Analyzes multi-layer perceptrons and Transformers on modular arithmetic tasks with corrupted labels.
result Regularization methods can force networks to ignore corrupted data, improving accuracy on uncorrupted data.

Deep models memorize training data in geophysical inversion, leading to biased posterior distributions.

problem Memorization of training data biases learned priors in geophysical inverse problems.
method Casting generative models' training as maximum likelihood, we show memorization results in a reweighted empirical distribution for diffusion models, leading to Gaussian mixture priors and posteriors.
result Memorization leads to posterior distributions that are likelihood-weighted lookup among stored training examples, affecting full waveform inversion outcomes.

Large learning rates prevent memorization in denoising score matching.

problem Memorization of training data in diffusion-based generative models.
method Investigating the role of large learning rates in the small-noise regime, proving that they prevent convergence to the empirical optimal score.
result Large learning rates prevent memorization by making it impossible for the learned score to be arbitrarily close to the empirical optimal score.

Deep networks preferentially learn shared features, avoiding memorization in early layers.

problem Understanding how deep neural networks generalize vs. memorize training data.
method Replica-based mean field geometric analysis of deep neural networks.
result Deep layers predominantly memorize, while early layers are minimally affected.

This paper explores memorization in adversarial training and proposes a mitigation algorithm.

problem Understanding and mitigating robust overfitting in adversarial training.
method Demonstrated the capacity of deep networks to memorize adversarial examples, analyzed convergence and generalization issues, and proposed a new mitigation algorithm.
result Identified robust overfitting as a significant drawback of adversarial training and proposed a mitigation algorithm.

We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize learning simple patterns first. In our experiments, we expose qualitative differen…

2017-06-16abs ↗pdf ↗

DMs emerge from DenseAMs, transitioning from memorization to generalization.

problem Hindered memory retrieval in DenseAMs due to spurious states.
method Examined diffusion models through the lens of DenseAMs, focusing on their generative process.
result Identified a critical phase in DMs transitioning from memorization to generalization.

Introduces Relational Privacy (RP) to control relation memorization in question answering models.

problem Relation memorization in question answering models can lead to privacy issues.
method Formalizes Relational Privacy (RP) and Differential Relational Privacy (DrP), providing bounds on relation memorization.
result DrP allows effective learning of general properties of underlying concepts while preventing relation memorization.

This paper studies the relationship between the classification performed by deep neural networks (DNNs) and the decision of various classical classifiers, namely k-nearest neighbours (k-NN), support vector machines (SVM) and logistic regression (LR), at various layers of the network. This comparison provides us with ne…

2018-05-17abs ↗pdf ↗

Early stopping improves generalization in overparameterized diffusion models.

problem Understanding and optimizing generalization in overparameterized diffusion models.
method Revisiting diffusion models, showing generalization occurs before memorization, and developing a phase diagram.
result Generalization time scales with dataset size, supporting early-stopping criteria.

RAF model explains neural networks' dual rule learning and fact memorization.

problem Understanding how neural networks learn rules and memorize facts simultaneously.
method Introduces the Rules-and-Facts (RAF) model to bridge generalization and memorization.
result Characterizes conditions for simultaneous rule learning and fact memorization in neural networks.