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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.

169,051 papers · 148 categories

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48 results for conformal base

Advances rule-based multi-label classification using conformal prediction.

problem Improving accuracy and decision making in multi-label classification.
method Combines conformal prediction with rule-based learning to provide natural conformity scores and calibrate rule assessments.
result Calibrated conformity scores enhance prediction accuracy and decision making.

A hybrid ASR system using conformer architecture improves word-error-rate and training speed.

problem Improving word-error-rate and training efficiency for hybrid ASR systems.
method Used conformer architecture, applied time downsampling, and transposed convolutions.
result Conformer-based hybrid model achieves competitive results and significantly outperforms BLSTM-based hybrid model.

The paper uses conformal prediction to detect railway signals with confidence.

problem Deploying deep learning models in certified systems requires accurate uncertainty estimates.
method The paper uses conformal prediction and risk control to detect railway signals.
result The conformal prediction framework provides reliable and trustworthy uncertainty estimates for model performance.

A stability-based method selects the most desirable conformal prediction set.

problem Selecting the most desirable conformal prediction set from multiple valid sets invalidates coverage guarantees.
method A stability-based approach that ensures coverage for the selected prediction set.
result The stability-based approach maintains coverage guarantees for the selected prediction set.

Paper introduces a conformer-based system for streaming language identification in long-form speech.

problem Language identification in long-form audio.
method Conformer layers with attentive temporal pooling and domain adaptation.
result Conformer-based models significantly outperform LSTM and transformer models.

We introduce the concept of a base conformal warped product of two pseudo-Riemannian manifolds. We also define a subclass of this structure called as a special base conformal warped product. After, we explicitly mention many of the relevant fields where metrics of these forms and also considerations about their curvatu…

2004-12-21abs ↗pdf ↗

Researchers found specific conformal groups for Einstein static universe models.

problem Understanding conformal groups of Einstein static universe models.
method Constructed explicit models for restricted conformal groups and universal covering groups.
result Determined all conformal Lorentz manifolds with maximal restricted conformal group dimension.

FCI method uses flow-based techniques to improve prediction confidence.

problem Limited applicability of exchangeable assumptions in predicting contaminated data.
method Adversarial flow to transform data into known distributions, then map to low-dimensional space.
result FCI produces effective predictive sets and accurate outlier detection.

New method calibrates uncertainty estimates for image classifiers without labeled data.

problem Uncertainty estimates for modern classifiers are unreliable without labeled calibration data.
method Calibrates uncertainty estimates using unlabeled examples for distribution shifts.
result Proposes a method that provides excellent uncertainty estimates under natural distribution shifts.

Develops conformalized prediction intervals for bounded continuous outcomes.

problem Predicting continuous outcomes within bounded ranges, especially when models are misspecified.
method Conformal prediction intervals based on transformation regression models, accounting for heteroscedasticity and asymmetry.
result Valid finite-sample coverage confirmed in simulations and real data applications.

New theorem proves convergence of various discrete conformal structures to conformal maps.

problem Proving convergence of discrete conformal structures to conformal maps.
method General theorem using piecewise linear discrete conformal mappings and Riemannian barycentric coordinates.
result Discrete conformal mappings converge to conformal maps under certain conditions.

Proposes PEMI for online selective conformal prediction with asymmetric rules.

problem Challenges of handling asymmetric selection mechanisms in online selective conformal prediction.
method PEMI: permutation-based framework for selective conformal prediction with arbitrary asymmetric selection rules.
result Achieves exact selection-conditional coverage for any asymmetric selection mechanism and any prediction model.

The paper studies conformal Ricci solitons in warped product spaces.

problem Characterizing conformal Ricci solitons in warped product manifolds.
method Analyzes properties of conformal Ricci solitons in warped product spaces, proving conditions for solitons and characterizing them in terms of vector fields.
result A warped product manifold admitting a conformal Ricci soliton with a concurrent potential vector field is Ricci flat.

The paper addresses selection bias in conformal prediction for focal units.

problem Selection bias in marginally valid conformal prediction intervals for focal units.
method A general framework for constructing selection-conditional coverage prediction sets.
result Efficient methods for various selection rules with exact finite-sample coverage.

Novel approach uses quasi-conformal geometry for OSA classification from cephalometry.

problem Classifying obstructive sleep apnea (OSA) based on craniofacial profiles.
method Quasi-conformal geometry for local deformation analysis of 15 landmark points in lateral cephalograms.
result Proposed model achieves 92.5% testing accuracy.

The Fefferman metric connects CR manifolds to conformal geodesics in 3D.

problem Understanding the Fefferman metric on CR manifolds.
method Explicit description of the Fefferman metric and variational characterization of conformal geodesics.
result Conformal geodesics have lifts to chains and null chains, and are characterized by total torsion.

Efficiently samples conformal boundaries in high dimensions using flows.

problem Difficulty in interpreting and using prediction sets in high-dimensional or structured output spaces.
method Flow-based approach using differentiable nonconformity scores to induce deterministic flows on the output space.
result Sampling conformal boundaries in arbitrary dimensions becomes computationally efficient and training-free.

A new method improves efficiency of conformal prediction for ensemble models.

problem Efficiently estimating uncertainty for ensemble models without distributional assumptions.
method Proposes a multivariate score function to merge prediction regions of individual models, reducing conservatism.
result Demonstrates more efficient prediction regions compared to existing methods.

Enhances conformal geometry in higher dimensions with infinite-dimensional algebra.

problem Finite-dimensional group of conformal transformations in higher dimensions.
method Derived deformation theory of ambitwistor space of complex null-geodesics.
result Infinite-dimensional dg-Lie algebra incorporating symmetries and conformal structure deformations.

This study uses ICL to efficiently generate robust confidence intervals for noisy regression tasks.

problem Uncertainty quantification for in-context learning in noisy regression tasks.
method Proposes a method based on conformal prediction to construct prediction intervals with guaranteed coverage.
result Conformal prediction with in-context learning (CP with ICL) achieves robust and scalable uncertainty estimates.

We present a novel approach to the classification of conformally equivariant differential operators on spinors in the case of homogeneous conformal geometry. It is based on the classification of solutions for a vector-valued system of partial differential equations, associated to D\mathcal{D}-modules for the homogeneo…

2016-02-03abs ↗pdf ↗

Conformer encoder reverses sequence in time dimension, affecting decoder training.

problem Reversal of sequence in Conformer encoder impacts decoder training.
method Analyzed initial behavior of decoder cross-attention and proposed methods to avoid flipping.
result Self-attention module of Conformer starts dominating, allowing only reversed information to pass.

Unified study of nine multi-output conformal methods with generalized scores.

problem Challenges in extending conformal prediction to multi-output problems.
method Nine conformal methods with generalized multi-output conformity scores.
result Generalized scores ensure asymptotic conditional coverage and exact finite-sample marginal coverage.

In this paper, we investigated the behavior of left-invariant conformal vector fields on Lie groups with left-invariant pseudo-Riemannian metrics. First of all, we prove that conformal vector fields on pseudo-Riemannian unimodular Lie groups are Killing. Then we obtain a necessary condition for a pseudo-Rimennian non-u…

2016-08-21abs ↗pdf ↗

Novel method for time-series prediction with tighter confidence intervals.

problem Improving prediction intervals for time-series data.
method Kernel-based Optimally Weighted Conformal Prediction Intervals (KOWCPI) using adaptive weights.
result KOWCPI achieves narrower confidence intervals with guaranteed coverage.

The paper extends Huber's theorem to higher dimensions using n-Laplace equations.

problem Proving finite point conformal compactification for general dimensions.
method Using n-Laplace equations and strengthened Arsove-Huber's theorem.
result Established finite point conformal compactification theorem for manifolds.

This study develops a NURBS-based method for conformal surface flattening without singularities.

problem Flatten surfaces conformally without singularities.
method NURBS-based approach with iterative refinement of input and flattening surfaces, leveraging nonlinear extension of VarPro.
result Developed a singularity-free NURBS-based method for conformal surface flattening.

A new method combines quantile regression, cross-conformalization, and out-of-bag predictions for valid prediction sets.

problem Valid prediction sets for classification and regression without distributional assumptions.
method Nested conformal prediction framework, combining quantile regression, cross-conformalization, and out-of-bag predictions.
result QOOB algorithm performs best or close to best on all simulated and real datasets.

The paper characterizes Clairaut conformal submersions on Ricci solitons.

problem Characterizing Clairaut conformal submersions on Ricci solitons.
method Calculating scalar and Ricci tensors, providing necessary conditions for fibres and base manifolds to be Ricci solitons and Einstein, and solving Poisson equations.
result Necessary and sufficient conditions for Clairaut conformal submersions to be harmonic.