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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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6.3%12.5%18.8%25.0% · Apr 199319922001200920172026
48 results for early universe

Gravitational wave memory increases faster than Brownian motion in early universe and astrophysical sources.

problem Detecting gravitational wave memory from early universe and astrophysical sources.
method Investigated gravitational wave sources in early universe and astrophysical settings, showing memory increases faster than Brownian motion.
result Gravitational wave memory increases following a power law, faster than the t\sqrt{t} scaling law of Brownian motion.

Understanding the community conditions that best support universal access and improved childhood outcomes allows ultimately to improve decision-making in the areas of planning and investment across the early stages of childhood development. Here we describe two different data-driven approaches to visualizing the lived …

2019-03-25abs ↗pdf ↗

We prove the statistical consistency of kernel Partial Least Squares Regression applied to a bounded regression learning problem on a reproducing kernel Hilbert space. Partial Least Squares stands out of well-known classical approaches as e.g. Ridge Regression or Principal Components Regression, as it is not defined as…

2009-02-25abs ↗pdf ↗

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.

New findings show cosmological constant as initial condition for non-isotropic spacetimes.

problem Cosmological constant as initial condition in non-isotropic spacetimes.
method Generalized previous results to non-isotropic spacetimes.
result Quasi de Sitter expansion for early universe, potential for inflationary scenarios.

We analyze the learning properties of the stochastic gradient method when multiple passes over the data and mini-batches are allowed. We study how regularization properties are controlled by the step-size, the number of passes and the mini-batch size. In particular, we consider the square loss and show that for a unive…

2016-05-28abs ↗pdf ↗

An agent that has well understood the environment should be able to apply its skills for any given goals, leading to the fundamental problem of learning the Universal Value Function Approximator (UVFA). A UVFA learns to predict the cumulative rewards between all state-goal pairs. However, empirically, the value functio…

2019-08-15abs ↗pdf ↗

The paper derives theorems about curl eigenfields on a 3-sphere using angular momentum theory.

problem Deriving theorems about curl eigenfields on a 3-sphere.
method Using angular momentum theory and spinor hyperspherical harmonics, the paper derives theorems about curl eigenfields on a 3-sphere.
result The paper proves that curl eigenfields with constant norm are proportional to a fundamental eigenfield (Hopf field).

Early stopping improves logistic regression's calibration and consistency in high dimensions.

problem Improving the statistical performance of gradient descent in overparameterized logistic regression.
method Investigates the effects of early stopping on gradient descent in logistic regression.
result Early-stopped gradient descent is well-calibrated and statistically consistent, while asymptotic gradient descent is not.

An exclusion particle model is considered as a highly simplified model of a limit order market. Its price behavior reproduces the well known crossover from over-diffusion (Hurst exponent H>1/2) to diffusion (H=1/2) when the time horizon is increased, provided that orders are allowed to be canceled. For early times a ma…

2002-06-24abs ↗pdf ↗

Each year, roughly 30% of first-year students at US baccalaureate institutions do not return for their second year and over $9 billion is spent educating these students. Yet, little quantitative research has analyzed the causes and possible remedies for student attrition. Here, we describe initial efforts to model stud…

2016-06-20abs ↗pdf ↗

This paper improves neural network predictions with early stopping using conformal calibration.

problem Lack of precise statistical guarantees for neural networks trained with early stopping.
method Conformalized early stopping that combines early stopping with conformal calibration.
result Models provide both accuracy and precise inferences without additional data splits.

Early stopping methods reduce unnecessary reasoning steps in LLMs by monitoring uncertainty signals.

problem LLMs sometimes generate unnecessary reasoning steps, especially under uncertainty.
method Statistically principled early stopping methods that monitor uncertainty signals during generation.
result Uncertainty-aware early stopping improves efficiency and reliability in LLM reasoning, especially in math reasoning.

Paper analyzes pricing model for bonds with early redemption.

problem Analyzing pricing of bonds with early redemption features.
method Structural approach for mathematical modeling of bond prices.
result Existence and uniqueness of default and early redemption boundaries proved.

The study reveals optimal early stopping behaviors in deep learning models.

problem Understanding optimal early stopping in deep learning models.
method Theoretical analysis of linear models and experimental validation.
result Two distinct behaviors of optimal early stopping time depending on model dimension relative to dataset features.

This work bounds the run-time of nonconvex optimization with early stopping.

problem Bounding the expected run-time of nonconvex optimization with early stopping.
method Derives conditions for well-defined early stopping based on validation function norms and bounds the expected number of iterations and gradient evaluations.
result Guarantees the validity of early stopping and provides bounds on the expected run-time for various optimization algorithms.

E2^2CM uses class means for efficient early exits in neural networks.

problem Efficient early exits in neural networks with low computational cost.
method Early Exit Class Means (E2^2CM) based on class means of samples, without gradient-based training.
result E2^2CM achieves higher accuracy with fixed training time budget and boosts existing early exit schemes.

Enhances early-exit neural networks for anytime classification.

problem Lack of guaranteed prediction quality improvement with longer computation time.
method Post-hoc modification based on Product-of-Experts to enforce conditional monotonicity.
result Achieves conditional monotonicity in prediction quality, enabling anytime classification.

Early stopping helps prevent overfitting to noisy labels in neural networks.

problem Overfitting to noisy labels in real-world training data.
method Two-phase training method (Prestopping) that early stops training and resumes using a maximal safe set.
result Significantly outperforms state-of-the-art methods in test error under label noise.

The Weyl curvature hypothesis of Penrose attempts to explain the high homogeneity and isotropy, and the very low entropy of the early universe, by conjecturing the vanishing of the Weyl tensor at the Big-Bang singularity. In previous papers it has been proposed an equivalent form of Einstein's equation, which extends i…

2012-03-15abs ↗pdf ↗

The paper analyzes early stopping in linear regression and shows it's equivalent to ridge regularization.

problem Understanding the effect of early stopping on linear regression models.
method Characterization of gradient descent dynamics and analysis of excess risk.
result Early stopped solution is equivalent to minimum norm solution for a generalized ridge regularized problem.

We estimate treatment cost-savings from early cancer diagnosis. For breast, lung, prostate and colorectal cancers and melanoma, which account for more than 50% of new incidences projected in 2017, we combine published cancer treatment cost estimates by stage with incidence rates by stage at diagnosis. We extrapolate to…

2017-08-30abs ↗pdf ↗

Study proposes a new early-warning framework for high-dimensional complex systems.

problem Predicting critical transitions in complex systems like epileptic seizures.
method Integrates manifold learning with stochastic dynamical system modeling, using Schrödinger bridge theory.
result Demonstrates higher sensitivity and robustness in epilepsy prediction.

Enhances early risk assessments for pediatric outcomes using contrastive learning.

problem Improving risk assessments in early stages of pediatric development.
method Contrastive multi-modal framework that treats each time window as a distinct modality, training on all available data.
result Consistent improvements in early-stage risk assessments validated on real-world tasks.

The paper accelerates LLM inference by adding early exit heads trained in a self-supervised manner.

problem Inference speed in large language models (LLMs) is slow and resource-intensive.
method Adding self-supervised early exit heads at intermediate transformer layers to stop computation early based on confidence thresholds.
result Entropy provides the most reliable confidence metric for stopping computation early.

AI system predicts acute critical illness from EHRs with explainability.

problem Lack of clinical interpretability in AI predictions for acute critical illness.
method Developed an explainable AI early warning score (xAI-EWS) system.
result System provides clinicians with insights into EHR data explaining predictions.