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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.

168,657 papers · 148 categories

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63127190253 · May 202619922001200920172026
48 results for confidence levels

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.

Structural equation models and Bayesian networks have been widely used to study causal relationships between continuous variables. Recently, a non-Gaussian method called LiNGAM was proposed to discover such causal models and has been extended in various directions. An important problem with LiNGAM is that the results a…

2009-09-16abs ↗pdf ↗

Novel confidence sets improve linear bandit performance by adapting to unknown noise levels.

problem Adapting to unknown noise levels in sequential decision-making.
method Proposed semi-adaptive and variance-adaptive confidence sets.
result Improved regret bounds and better performance in Bayesian optimization tasks.

This paper studies the geometry of minimum-volume confidence sets for multinomial parameters.

problem Determining if minimum-volume confidence sets for multinomial outcomes are disjoint.
method Enumerating and covering the continuous regions of the exact p-value function to study the geometry of minimum-volume confidence sets.
result The geometry of minimum-volume confidence sets for multinomial parameters is studied, providing insights into their structure and properties.

LLMs generate answers under incomplete context, and their uncertainty should scale with missing information.

problem Evaluating the quality of LLM answers under incomplete context.
method A controlled framework with varying context availability, and two uncertainty measures (sampling-based confidence and response entropy) evaluated on SQuAD.
result Response entropy increases with context removal and explains more variance in accuracy than confidence, suggesting it is a more responsive uncertainty measure.

The paper finds a fundamental trade-off between confidence and efficiency in transductive conformal prediction.

problem The challenge is to balance confidence and efficiency in predicting multiple data points.
method The authors derive a strict finite-sample bound and introduce a practical algorithm to approach this bound.
result Any non-trivial confidence level leads to exponential growth in prediction set size, with a linear scaling in the number of samples.

Hypothesis testing is an important problem with applications in target localization, clinical trials etc. Many active hypothesis testing strategies operate in two phases: an exploration phase and a verification phase. In the exploration phase, selection of experiments is such that a moderate level of confidence on the …

2018-12-04abs ↗pdf ↗

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 addresses the gap between theoretical and practical confidence set widths in universal inference.

problem Inference procedures can be overly conservative, leading to wider confidence sets than expected.
method The authors identify the source of asymptotic conservativeness and propose a remedy based on studentization and bias correction.
result The proposed method achieves exact asymptotic coverage at the nominal 1α1-α level, even under model misspecification.

New method for online learning IC models with node-level feedback.

problem Learning IC models with node-level feedback in social networks.
method Detailed analysis and online algorithm with O(T)\mathcal{O}( \sqrt{T}) cumulative regret.
result First confidence-region result and online algorithm for IC models with node-level feedback.

BILBO optimizes bilevel problems without repeated lower-level optimizations.

problem Challenges in bilevel optimization, especially in noisy, constrained, and derivative-free settings.
method BILevel Bayesian Optimization (BILBO) that optimizes both levels simultaneously, using confidence-bounds and function query selection.
result Theoretical and empirical evidence of BILBO's effectiveness on various problems.

A modification of the confidence screening mechanism based on adaptive weighing of every training instance at each cascade level of the Deep Forest is proposed. The idea underlying the modification is very simple and stems from the confidence screening mechanism idea proposed by Pang et al. to simplify the Deep Forest …

2019-01-04abs ↗pdf ↗

Bayesian approach improves online prediction accuracy without distributional assumptions.

problem Online construction of confidence sets for black-box models.
method Combines empirical distribution with Bayesian regularization to predict quantiles.
result Adaptive algorithm with low regret and correct coverage probability for iid data.

We present a confidence-based single-layer feed-forward learning algorithm SPIRAL (Spike Regularized Adaptive Learning) relying on an encoding of activation spikes. We adaptively update a weight vector relying on confidence estimates and activation offsets relative to previous activity. We regularize updates proportion…

2016-11-18abs ↗pdf ↗

One of the problems on the way to successful implementation of neural networks is the quality of annotation. For instance, different annotators can annotate images in a different way and very often their decisions do not match exactly and in extreme cases are even mutually exclusive which results in noisy annotations a…

2018-07-23abs ↗pdf ↗

We study the asymptotic behavior of the difference ΔραX,Y:=ρα(X+Y)ρα(X)Δρ^{X, Y}_α:= ρ_α(X + Y) - ρ_α(X) as α1α\rightarrow 1, where ραρ_α is a risk measure equipped with a confidence level parameter 0<α<10 < α< 1, and where XX and YY are non-negative random variables whose tail probability functions are regularly varying. The case where …

2017-11-20abs ↗pdf ↗

Develops a method to find costly high-confidence errors in black box models.

problem Finding rare high-confidence errors missed by random sampling.
method Adversarial perturbation-guided search technique to find errors at rates greater than expected given model confidence.
result Our Adversarial Distance search discovers high-confidence errors at a rate greater than expected given model confidence.

New algorithm resists corruption in linear contextual bandits.

problem Adversarial corruption in linear contextual bandits.
method Variance-aware algorithm with multi-level partition and adaptive confidence sets.
result Regret bound of ildeO(C2dt=1Tσt2+C2RdT) ilde{O}(C^2d\sqrt{\sum_{t = 1}^T σ_t^2} + C^2R\sqrt{dT}).

There are two major paradigms of white-box adversarial attacks that attempt to impose input perturbations. The first paradigm, called the fix-perturbation attack, crafts adversarial samples within a given perturbation level. The second paradigm, called the zero-confidence attack, finds the smallest perturbation needed …

2019-10-01abs ↗pdf ↗

This work introduces COLA, a strategy to aggregate conformal prediction sets efficiently.

problem Efficiently combining multiple conformity scores to reduce prediction set size.
method Introduces COnfidence-Level Allocation (COLA) to optimally allocate confidence levels across sets.
result COLA achieves smaller prediction sets than state-of-the-art methods while maintaining valid coverage.

CCE improves anomaly detection metrics by measuring both confidence and consistency.

problem Existing anomaly detection metrics lack discriminative power, hyperparameter dependency, and robustness to perturbations.
method CCE uses Bayesian estimation to quantify uncertainty and constructs global and event-level confidence and consistency scores.
result CCE demonstrates strict boundedness, robustness, and linear time complexity.

This study evaluates methods to measure traffic forecasting model confidence.

problem Lack of consensus on uncertainty types and techniques for traffic forecasting models.
method Reviews and compares different uncertainty estimation techniques using real traffic data.
result Empirical evidence shows benefits and caveats of various techniques.

CP improves robustness against distribution shift using physics-informed structural causal models.

problem Uncertainty in machine learning predictions under distributional shift.
method Physics-informed structural causal model (PI-SCM) to upper bound coverage difference.
result PI-SCM improves coverage robustness across confidence levels and test domains.

Near-optimal tests and confidence sequences for non-parametric data.

problem Flexible statistical inference and decision-making with non-parametric data.
method Classic delayed-start normal-mixture sequential probability ratio tests with asymptotic guarantees.
result Asymptotically optimal type-I error and expected rejection time guarantees.

Proposes integrating global and local entropy for more reliable LLMs.

problem Uncertainty in large language models (LLMs) leads to unreliable predictions.
method Measures global uncertainty from hidden-state matrices and local uncertainty from tokens, combining them via a multiplicative gate.
result Global-Local Uncertainty (GLU) outperforms unsupervised baselines across multiple models and benchmarks.

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.

Proposes methods for online conformal prediction with nested prediction sets across multiple confidence levels.

problem Need for uncertainty quantification with multiple confidence levels in diverse applications.
method Online optimization perspective to enforce nestedness of prediction sets while controlling quantile estimation error.
result Achieves stable coverage across all levels, strictly nested prediction sets, and improved efficiency.

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.

Study three types of uncertainty quantification for binary classification without distributional assumptions.

problem Uncertainty quantification for binary classification in a distribution-free setting.
method Established theorems connecting calibration, confidence intervals, and prediction sets for score-based classifiers.
result Distribution-free calibration is only possible using scoring functions that partition feature space into countably many sets.

The paper addresses the difficulty of decision makers trusting AI-assisted predictions and proposes a method to improve confidence values.

problem Decision makers struggle to trust AI-assisted predictions based on confidence values.
method The paper investigates why decision makers have difficulties and proposes a method to construct more useful confidence values.
result Multicalibration with respect to the decision maker's confidence on her own predictions is a sufficient condition for alignment, leading to better decisions.

All people have to make risky decisions in everyday life. And we do not know how true they are. But is it possible to mathematically assess the correctness of our choice? This article discusses the model of decision making under risk on the example of project management. This is a game with two players, one of which is…

2019-01-25abs ↗pdf ↗

Corporate transparency reduces investors' disposition effect by increasing confidence in holding profitable and losing stocks.

problem Irrational disposition effect in investors selling profitable assets too soon and holding onto losing assets for too long.
method Examined the impact of corporate transparency on individual investors' disposition effect.
result Increased corporate transparency significantly reduces the disposition effect.