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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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48 results for Confidence Guarantees

Paper defines and solves a problem in representation learning to ensure fairness with high confidence.

problem Learning fair representations with high confidence guarantees for all downstream tasks.
method Formally defines the problem, introduces FRG framework, proves high probability fairness, and demonstrates effectiveness empirically.
result FRG framework provides high-confidence guarantees for limiting unfairness across all downstream models and tasks.

Improved algorithms for stochastic linear bandits using tighter confidence sequences.

problem Stochastic linear bandits with improved worst-case regret guarantees.
method Novel tail bound for adaptive martingale mixtures to construct tighter confidence sequences.
result Linear bandit algorithm achieves competitive worst-case regret.

Paper proposes a method to predict deep neural network confidences with guarantees.

problem Quantifying uncertainty in deep neural networks for safety-critical applications.
method Uses Clopper-Pearson confidence intervals and histogram binning for calibrated prediction.
result Demonstrates the effectiveness of predicted confidences in improving DNN performance and safety.

Develops methods for valid and validated confidence sets in multiclass and multilabel prediction.

problem Challenges of typical conformal prediction methods in multiclass and multilabel problems, especially uneven coverage.
method Leverages quantile regression to build methods that always guarantee correct coverage and asymptotically optimal conditional coverage, addressing label interactions with tree-structured classifiers.
result Empirical evaluation suggests more robust coverage of confidence sets.

CONTINA provides adaptive confidence intervals for traffic demand prediction.

problem Uncertainty in future traffic demand predictions and the need for valid confidence intervals.
method Adaptive confidence interval method that adjusts based on deployment errors.
result Valid confidence intervals with shorter lengths and theoretical coverage guarantee.

Introduces CCR for constructing confidence regions from conformal predictions.

problem Challenges in constructing confidence regions for model parameters.
method Combines conformal prediction intervals for model outputs to establish confidence regions for parameters under minimal assumptions.
result Valid coverage guarantees for finite sample regime, applicable to various model types.

ConfHit provides valid guarantees for generative models without oracle access.

problem Reliable guarantees for novel candidate generation in generative models.
method Formalizes certification and refinement of generated sets, leveraging weighted exchangeability and density-ratio weighted conformal p-values.
result Consistently delivers valid coverage guarantees and compact certified sets across various generative tasks.

This paper introduces a new method for uncertainty quantification in prediction models.

problem Quantifying uncertainty in high-stakes applications like medicine and finance.
method Confidence sets for outcome excursions, focusing on identifying subsets of features where outcomes exceed a threshold.
result Theoretical guarantees for the probability that confidence sets contain the true feature subset, both asymptotically and for finite sample sizes.

New approach ensures neural networks know when they don't know.

problem Neural networks over-confident far from training data in safety-critical applications.
method Proposes a new approach to out-of-distribution detection (OOD) with provable guarantees.
result First certificates for low confidence predictions in a neighborhood of an out-distribution point.

The research proposes a stopping rule for reinforcement learning algorithms based on instance-dependent confidence.

problem Dramatic variation in convergence rates of reinforcement learning algorithms due to problem structure.
method Develops instance-dependent confidence regions and a data-dependent stopping rule for MDP policy evaluation and optimal value estimation.
result Proposes a stopping rule that adapts to the instance-specific difficulty of the problem, allowing for early termination.

Paper derives convergence rates and confidence intervals for LSA with Markovian noise.

problem Analyzing convergence rates and constructing confidence intervals for LSA with Markovian noise.
method Derives non-asymptotic Berry-Esseen bounds and multiplier block bootstrap procedure.
result Provides O(n1/4)\mathcal{O}(n^{-1/4}) convergence rates and guarantees consistent inference.

Reduces change detection to estimation using confidence sequences.

problem Detecting changes in data streams with minimal delay and false alarms.
method Reduction from sequential change detection to sequential estimation using confidence sequences.
result Change detection scheme with minimal structural assumptions and strong guarantees.

The age of big data has produced data sets that are computationally expensive to analyze and store. Algorithmic leveraging proposes that we sample observations from the original data set to generate a representative data set and then perform analysis on the representative data set. In this paper, we present efficient a…

2016-06-05abs ↗pdf ↗

We design a general framework for answering adaptive statistical queries that focuses on providing explicit confidence intervals along with point estimates. Prior work in this area has either focused on providing tight confidence intervals for specific analyses, or providing general worst-case bounds for point estimate…

2019-06-21abs ↗pdf ↗

Algorithm generates adaptive confidence sets for instance segmentation with guaranteed coverage.

problem Uncalibrated predictions and lack of uncertainty quantification in instance segmentation models.
method Conformal prediction algorithm to generate adaptive confidence sets with provable guarantees.
result Empirically, prediction sets vary in size based on query difficulty and attain target coverage, outperforming baselines.

New method HNCI for evaluating treatment effects in network interference.

problem Evaluating the effectiveness of treatments or policies under network interference.
method High-dimensional network causal inference (HNCI) using linear regression with latent homogeneity.
result Valid confidence intervals and sets for average direct treatment effect and neighborhood size.

The paper improves the empirical bootstrap method for non-normal estimators.

problem Theoretical properties of empirical bootstrap for non-asymptotically normal estimators.
method Establishing limiting distribution, deriving consistency conditions, proposing alternative methods.
result The empirical bootstrap method can be asymptotically consistent under stability conditions.

New method identifies diffusion sources on networks with statistical confidence.

problem Identifying sources of diffusion on networks without restrictive assumptions.
method Statistical framework and confidence set inference approach based on hypothesis testing.
result Efficiently produces a small subset of nodes covering the source node with any confidence level.

General predictive models do not provide a measure of confidence in predictions without Bayesian assumptions. A way to circumvent potential restrictions is to use conformal methods for constructing non-parametric confidence regions, that offer guarantees regarding validity. In this paper we provide a detailed descripti…

2016-09-19abs ↗pdf ↗

A theorem for debiasing machine learning with finite sample guarantees.

problem Calculating confidence intervals for machine learning functionals.
method Debiased machine learning based on bias correction and sample splitting.
result Nonasymptotic debiased machine learning theorem with finite sample guarantees.

UnKGCP generates prediction intervals for uncertain knowledge graphs with statistical guarantees.

problem Lack of quantified predictive uncertainty in existing UnKGE methods.
method Proposes extsc{UnKGCP} framework using conformal prediction with a novel nonconformity measure.
result Sharp prediction intervals effectively capture predictive uncertainty in diverse UnKGE methods.

Fuzzy prediction sets generalize binary predictions to include elements at varying confidence levels.

problem Binary prediction sets are limited; fuzzy prediction sets offer richer guarantees.
method Generalize prediction sets to fuzzy sets, showing they are e-values with merging properties.
result Optimal e-values lead to optimal fuzzy prediction sets, including optimal conformal prediction.

The paper develops a method to create non-asymptotic confidence ellipsoids for linear regression without strong noise distribution assumptions.

problem Constructing reliable confidence regions for linear regression with finite sample sizes and general noise distributions.
method The paper introduces the SPS EOA algorithm to create non-asymptotically guaranteed confidence ellipsoids for linear regression problems.
result The sizes of SPS outer ellipsoids are shown to decrease at the optimal rate for linear regression problems.

Paper shows how online betting algorithms' regret can be used to create tight confidence sequences.

problem Estimating the expectation of random variables from samples and creating time-uniform confidence sequences.
method Converts the regret guarantee of universal portfolio algorithms into time-uniform concentration inequalities and confidence sequences.
result Numerically obtained confidence sequences are never vacuous and satisfy the law of iterated logarithm.

We develop an efficient algorithm to find confidence ellipsoids with volume guarantees in high dimensions.

problem Finding robust confidence ellipsoids in high-dimensional data.
method Polynomial time algorithm using primal-dual structure and geometric Brascamp-Lieb inequality.
result Algorithm finds ellipsoids within a O(β)γdO(β)^{γd} volume factor of best ββ-conditioned ellipsoid.

New method improves level set estimation with theoretical guarantees.

problem Efficiently estimating level sets of expensive-to-evaluate functions.
method Randomized straddle algorithm for level set estimation.
result The method provides theoretical guarantees and better practical performance.

New method reduces variance in stochastic optimization with high confidence.

problem Achieving high-probability guarantees in stochastic optimization with weaker noise assumptions.
method Stochastic proximal point method combining proximal subproblem solver and probability booster.
result Demonstrates convergence with low sample complexity under bounded variance assumptions.

Method provides statistical guarantees for identifying subgroups in ML studies.

problem Bias and noise in estimating conditional average treatment effects (CATE).
method Develops uniform confidence bands (GATES) for estimating group average treatment effects (GATEs).
result Identifies subgroups with statistical guarantees, regardless of effect size.

The paper improves nonparametric confidence bands for band-limited functions.

problem Constructing nonparametric simultaneous confidence bands with nonasymptotic and distribition-free guarantees.
method Based on Paley-Wiener reproducing kernel Hilbert spaces, the paper relaxes assumptions, improves noise estimation, and tightens constraints.
result Enhanced confidence bands with improved efficiency and tighter constraints.

I introduce and analyse an anytime version of the Optimally Confident UCB (OCUCB) algorithm designed for minimising the cumulative regret in finite-armed stochastic bandits with subgaussian noise. The new algorithm is simple, intuitive (in hindsight) and comes with the strongest finite-time regret guarantees for a hori…

2016-03-29abs ↗pdf ↗

Extracting actionable intelligence from distributed, heterogeneous, correlated and high-dimensional data sources requires run-time processing and learning both locally and globally. In the last decade, a large number of meta-learning techniques have been proposed in which local learners make online predictions based on…

2015-12-23abs ↗pdf ↗

We consider using an ensemble of binary classifiers for transductive prediction, when unlabeled test data are known in advance. We derive minimax optimal rules for confidence-rated prediction in this setting. By using PAC-Bayes analysis on these rules, we obtain data-dependent performance guarantees without distributio…

2015-01-15abs ↗pdf ↗

A universal framework for constructing confidence sets using sequential likelihood mixing.

problem Constructing reliable confidence sets for realizable likelihood functions.
method Sequential likelihood mixing, integrating Bayesian inference and regret inequalities.
result Establishes fundamental connections and provable coverage guarantees for various inference techniques.

Paper aims to ensure reliable detection of out-of-distribution data with certifiable worst-case guarantees.

problem Deep neural networks are overconfident with OOD inputs, posing safety risks.
method Enforces low confidence and bounds in an ll_\infty-ball around OOD points using interval bound propagation (IBP).
result Certifiable worst-case guarantees for OOD detection are possible without significant loss in accuracy.

Efficient method for high confidence level inference using parallel stochastic optimization.

problem Uncertainty quantification for online estimation.
method Small number of independent multi-runs to construct t-based confidence intervals.
result Rigorous theoretical guarantee for exact coverage of confidence intervals.