Research
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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.

168,742 papers · 148 categories

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3146289411,255 · Jun 202019922001200920172026
48 results for varying data sizes

New TVBO algorithm optimizes time-varying functions with varying sampling frequencies.

problem Optimizing time-varying, expensive, noisy functions with constant frequency assumption.
method Formulated practical recommendations and derived upper regret bound for varying sampling frequencies.
result BOLT algorithm outperforms state-of-the-art TVBO algorithms in experiments.

Investor skill levels affect optimal portfolio size, study shows.

problem Optimal portfolio size for different skill levels of investors.
method Mathematical methods to study annual and continuous portfolio diversification, regression analysis.
result Strong investors should hold concentrated portfolios, poor investors should hold diversified portfolios.

New neural network models learn symmetric functions of varying input sizes.

problem Learning symmetric functions with varying input sizes.
method Functional perspective on neural networks, treating symmetric functions as functions over probability measures.
result Established approximation and generalization bounds for shallow architectures that extend across input sizes.

We propose a novel method to train deep convolutional neural networks which learn from multiple data sets of varying input sizes through weight sharing. This is an advantage in chemometrics where individual measurements represent exact chemical compounds and thus signals cannot be translated or resized without disturbi…

2019-10-01abs ↗pdf ↗

Scaling laws found for reinforcement learning performance with model size and compute.

problem Challenges in extending generative modeling scaling laws to reinforcement learning.
method Introduced intrinsic performance as a monotonic function of mean episode return.
result Intrinsic performance scales as a power law in model size and environment interactions.

A new method estimates time-varying parameters in earth system models using offline and online data assimilation.

problem Estimating time-varying parameters in complex earth system models.
method Hybrid Offline Online Parameter Estimation with Particle Filtering (HOOPE-PF)
result HOOPE-PF outperforms existing methods, especially with small ensemble sizes.

A new algorithm estimates mean under varying user data sizes with local differential privacy.

problem Mean estimation with user-level local differential privacy under varying data sizes.
method Distribution-aware mean estimation algorithm for users with varying data sizes.
result Upper and lower bounds on the worst-case risk for mean estimation are derived.

Study shows that ridgeless Gaussian kernel regression overfits even with varying bandwidth or dimensionality.

problem Analyzing overfitting in Gaussian kernel ridgeless regression with varying bandwidth or dimensionality.
method Examined the behavior of minimum norm interpolating solutions for fixed and increasing dimensions under varying bandwidth and sample size.
result Ridgeless solutions are never consistent and can be worse than null predictor with large enough noise, even with varying bandwidth or dimensionality.

Study shows model size inversely affects few-shot instruction accuracy.

problem Understanding how model size impacts few-shot instruction prompting accuracy.
method Introduced DeltaWords dataset to evaluate model's ability to follow instructions.
result Model size inversely affects few-shot instruction accuracy, with larger models performing worse.

Study on cryptocurrency market dynamics and correlations over time.

problem Understanding the dynamics and correlations of cryptocurrency market over time.
method Evolutionary correlation analysis, turning point algorithm, inverse relationship between market size and collective dynamics, time-varying consistency of relationships, examination of volatility structure.
result Increased uniformity in volatility during market crashes, termed 'volatility dispersion'.

Sloth predicts LLM performance using latent skills across families.

problem Variations in benchmark performance due to differences in training configurations and data processing across model families.
method Sloth uses publicly available benchmark data and assumes LLM performance is driven by latent skills influenced by model size and training tokens. It exploits correlations across benchmarks to provide accurate predictions.
result Sloth predicts LLM performance accurately and offers insights into scaling behaviors for complex tasks.

Recent hardware developments have dramatically increased the scale of data parallelism available for neural network training. Among the simplest ways to harness next-generation hardware is to increase the batch size in standard mini-batch neural network training algorithms. In this work, we aim to experimentally charac…

2018-11-08abs ↗pdf ↗

The ability to learn from a small number of examples has been a difficult problem in machine learning since its inception. While methods have succeeded with large amounts of training data, research has been underway in how to accomplish similar performance with fewer examples, known as one-shot or more generally few-sh…

2017-08-22abs ↗pdf ↗

This research examines how the error rate of nearest neighbor classifiers varies with dataset size.

problem The scaling of classification error rates with dataset size is not uniform.
method Theoretical analysis of nearest neighbor classifiers, focusing on early and late phases of dataset size.
result The error rate of nearest neighbor classifiers can have fine-grained rates depending on the dataset size and data distribution.

Spectral clustering is sensitive to how graphs are constructed from data particularly when proximal and imbalanced clusters are present. We show that Ratio-Cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced data since they tend to emphasize cut sizes over cut values. We propose a graph partit…

2013-09-09abs ↗pdf ↗

Spectral clustering methods which are frequently used in clustering and community detection applications are sensitive to the specific graph constructions particularly when imbalanced clusters are present. We show that ratio cut (RCut) or normalized cut (NCut) objectives are not tailored to imbalanced cluster sizes sin…

2016-08-26abs ↗pdf ↗

Imputation-free method learns tabular data with missing values using transformer.

problem Machine learning on tabular data with missing values often leads to unreliable outcomes due to synthetic imputation.
method Incremental attention learning (IFIAL) using transformer with attention masks.
result IFIAL outperforms state-of-the-art methods in 17 diverse tabular data sets.

We study the effect of the quality and quantity of side information on the recovery of a hidden community of size K=o(n)K=o(n) in a graph of size nn. Side information for each node in the graph is modeled by a random vector with the following features: either the dimension of the vector is allowed to vary with nn, while …

2018-09-05abs ↗pdf ↗

The paper investigates how dataset quality and heterogeneity affect model confidence in machine learning.

problem Understanding how dataset quality and heterogeneity impact model confidence in machine learning.
method The study uses theoretical explanations and experimental demonstrations to investigate the effects of dataset size, label noise, and class heterogeneity on model confidence.
result Label noise reduces model confidence, while reduced dataset size increases it, and class heterogeneity leads to inconsistent confidence across classes.

We extend graph neural networks to transfer performance across different input sizes.

problem Transferability of graph neural networks across varying input dimensions.
method Introduce a general framework for transferability across dimensions, showing it corresponds to continuity in a limit space.
result Transferability of graph neural networks is driven by data and learning task, and can be ensured with design principles.

Study on improving the linear two-time-scale stochastic approximation method with a restarting scheme.

problem Characterizing and optimizing the finite-time complexity of linear two-time-scale stochastic approximation.
method Analysis of mean square errors, introduction of a restarting scheme to improve performance.
result The method achieves an exact convergence to the desired solution with improved complexity under time-varying step sizes.

Slow feature analysis (SFA) is a method for extracting slowly varying features from a quickly varying multidimensional signal. An open source Matlab-implementation sfa-tk makes SFA easily useable. We show here that under certain circumstances, namely when the covariance matrix of the nonlinearly expanded data does not …

2009-12-06abs ↗pdf ↗

Clustering is a central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well as other tasks such as consensus clustering. It is often argued that, in order to…

2017-01-23abs ↗pdf ↗

Downscaled models outperform larger ones on GLUE tasks.

problem Difficulty in attributing performance changes to specific factors in large language models.
method Pre-trained down-scaled versions of Transformer-based architectures on a common corpus, benchmarked on GLUE tasks.
result MLM + NSP (BERT-style) consistently outperforms other objectives.

Alignment of neural network representations is influenced by SNR and sample size.

problem Understanding how neural network representations align across different conditions.
method Controlled training of neural networks on perturbed datasets, analyzing alignment and generalization.
result Alignment varies monotonically with SNR but non-monotonically with sample size, with minimal alignment near the interpolation threshold.

Backward Conformal Prediction offers flexible control over prediction set sizes while ensuring coverage guarantees.

problem Providing reliable prediction sets with controlled sizes in applications like medical diagnosis.
method Defines a rule that constrains prediction set sizes based on observed data, adapting coverage levels.
result Maintains computable coverage guarantees while ensuring interpretable, well-controlled prediction set sizes.

Improved loss scaling for stochastic momentum algorithms in high dimensions.

problem Improving loss scaling for stochastic momentum algorithms in high dimensions.
method Dimension-adapted Nesterov acceleration (DANA) scales momentum hyperparameters based on model size and data complexity.
result DANA improves loss scaling exponents across various data and target complexities.

NeuralSurv models survival analysis with Bayesian uncertainty.

problem Capturing time-varying risk relationships in survival analysis.
method Two-stage data-augmentation scheme, mean-field variational algorithm, coordinate-ascent updates, locally linearized Bayesian neural network.
result Delivers superior calibration compared to state-of-the-art models.