Research
On-device research index

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.

168,695 papers · 148 categories

Trend · papers per month

1.7%3.3%5.0%6.7% · May 199619922001200920172026
48 results for second-order learners

New findings show second-order scoring rules can't accurately represent epistemic uncertainty.

problem Lack of epistemic uncertainty representation in second-order learners.
method Generalised second-order scoring rules introduced to prove theoretical limitations.
result No loss function incentivizes second-order learners to accurately represent epistemic uncertainty.

Loss minimisation fails to capture epistemic uncertainty in second-order predictors.

problem Capturing epistemic uncertainty in machine learning models.
method Analysis of a second-order learner approach using loss minimisation.
result Loss minimisation does not faithfully represent epistemic uncertainty in second-order predictors.

Second-order optimizers retain residual information after data deletion, affecting machine unlearning.

problem Residual information in second-order optimizers after data deletion.
method Comparison of first-order and second-order learners, eigendecomposition analysis.
result Second-order optimizers retain residual information, not detectable by first-order analysis.

Online learning with limited information feedback (bandit) tries to solve the problem where an online learner receives partial feedback information from the environment in the course of learning. Under this setting, Flaxman et al.[8] extended Zinkevich's classical Online Gradient Descent (OGD) algorithm [29] by proposi…

2018-11-25abs ↗pdf ↗

A boosting method improves nonparametric density estimation without smoothing assumptions.

problem Overfitting in nonparametric data fitting.
method Introduces a boosting algorithm for univariate nonparametric maximum likelihood estimation.
result Demonstrates the effectiveness of the boosting approach through simulations and real data experiments.

New damping technique improves deep learning models by reducing noise in flat directions.

problem Improving generalization in deep learning models by reducing estimation noise in flat directions.
method Developed a novel random matrix theory based damping learner to reduce the shrinkage coefficient and improve generalization.
result Significant generalization improvements in logistic regression and deep neural networks experiments.

Improved regret bounds for adversarial linear contextual bandits.

problem Adversarial linear contextual bandits with changing loss functions.
method Truncated continuous exponential weights algorithm over the probability simplex, analyzing with linear bandit setting without contexts.
result Second-order bound of ildeO(KdVT) ilde O(K\sqrt{d V_T}) and first-order bound of ildeO(KdLT) ilde O(K\sqrt{d L_T^*}).

New budget quantifies drift in closed-loop learning, improving reproducibility.

problem Characterizing statistical learning under distributional drift in closed-loop settings.
method Introduces an intrinsic drift budget CTC_T quantifying cumulative information-geometric motion of the data distribution.
result Proves a drift-feedback bound of order T1/2+CT/TT^{-1/2}+C_T/T for prequential reproducibility, up to controlled second-order remainder terms.

The paper introduces new measures for quantifying uncertainty in machine learning.

problem Uncertainty representation and quantification in machine learning.
method Proper scoring rules for aleatoric and epistemic uncertainty quantification.
result Established a natural bridge between credal set and second-order distribution representations of uncertainty.

Meta clustering categorizes learners for collaborative learning.

problem Filtering out unqualified collaborators in collaborative learning.
method Select-Exchange-Cluster (SEC) method to classify learners by their supervised functions.
result SEC can cluster learners into accurate collaboration sets and enhance single-learner performance.

New meta-learners estimate time-varying treatment effects without model assumptions.

problem Estimating treatment effects over time in personalized medicine.
method Model-agnostic meta-learners for weighted pseudo-outcome regressions.
result Comprehensive theoretical analysis and practical insights for choosing meta-learners.

New algorithm improves convergence of gradient boosting trees.

problem Global convergence of Newton boosting in tabular machine learning.
method Introduces Gradient Regularized Newton Descent for GBDTs, proving linear convergence for smooth, strongly convex losses and O(1k2)\mathcal{O}(\frac{1}{k^2}) rate for general convex losses.
result Achieves globally convergent second-order GBDT algorithm with rate matching first-order boosting.

Boosting algorithms are frequently used in applied data science and in research. To date, the distinction between boosting with either gradient descent or second-order Newton updates is often not made in both applied and methodological research, and it is thus implicitly assumed that the difference is irrelevant. The g…

2018-08-09abs ↗pdf ↗

New survival learners estimate heterogeneous treatment effects from time-to-event data.

problem Estimating HTEs from time-to-event data with censoring outcomes.
method Orthogonal survival learners with theoretical guarantees and custom weighting functions.
result Orthogonal survival learners provide robust and model-agnostic HTE estimation.

Proposes a method to integrate learner models robustly against misspecifications.

problem Misspecifications in learner models and parameter sharing patterns degrade prediction accuracy.
method Sequentially incorporates additional learners based on user-specified parameter sharing patterns.
result Data-adaptively selects the most suitable way of parameter sharing to enhance predictive performance.

Method selects the best deep learner for time-series prediction using Bayesian networks.

problem Selecting the most effective deep learning model for time-series prediction.
method Bayesian network selects deep learners based on input variables and cluster training data.
result Threshold value determines which deep learners predict time-series data robustly.

One of the most ambitious use cases of computer-assisted learning is to build a recommendation system for lifelong learning. Most recommender algorithms exploit similarities between content and users, overseeing the necessity to leverage sensible learning trajectories for the learner. Lifelong learning thus presents un…

2019-12-03abs ↗pdf ↗

In this paper, we make an important step towards the black-box machine teaching by considering the cross-space machine teaching, where the teacher and the learner use different feature representations and the teacher can not fully observe the learner's model. In such scenario, we study how the teacher is still able to …

2017-10-21abs ↗pdf ↗

Theorem ensures superior learning outcomes for authorized learners with quantum label encoding.

problem Ensuring data security for authorized learners in machine learning.
method Quantum label encoding and PAC learning framework.
result Authorized learners achieve superior learning outcomes while eavesdroppers do not.

Second-order economic theory considers new variables to improve price volatility predictions.

problem Current economic models focus on first-order variables, missing second-order variables that affect price volatility.
method Introduces second-order economic theory with new variables composed of sums of squares of agents' transactions.
result Second-order economic theory complements first-order variables and introduces new macroeconomic variables.

The paper presents a method for personalized exercise recommendations that improves learner skill gain.

problem Adapting to individual needs in large, diverse groups of learners in digital environments.
method Contextual Thompson Sampling to select exercises that advance learner skill.
result The method recommends exercises associated with greater skill improvement and adapts to learner differences.

Deep reinforcement learning algorithms have been successfully applied to a range of challenging control tasks. However, these methods typically struggle with achieving effective exploration and are extremely sensitive to the choice of hyperparameters. One reason is that most approaches use a noisy version of their oper…

2019-05-02abs ↗pdf ↗

New LT-O-learners improve HLTE estimation with low overlap.

problem Challenges in estimating heterogeneous long-term treatment effects due to limited overlap.
method Introduces LT-O-learners that use custom overlap weights to downweight low-overlap samples.
result LT-O-learners provide robust HLTE estimates with lower variance in low-overlap regimes.

Paper introduces GDR-learners for estimating potential outcomes from observational data.

problem Lack of theoretical property of general Neyman-orthogonality in deep generative models.
method Develops flexible GDR-learners based on various deep generative models.
result GDR-learners possess quasi-oracle efficiency and rate double robustness, asymptotically optimal.

Exact second-order optimization for deep learning reduces computational cost and improves performance.

problem Inadequate use of second-order optimization methods in deep learning due to high computational cost and non-convexity.
method Developed an exact stochastic second-order Newton method that addresses the non-convexity issue and provides an expression for the stochastic Hessian.
result Exact second-order Newton direction formula and its application in deep learning datasets.

SOLBP extends efficient inference to uncertain Bayesian networks.

problem Inference in uncertain Bayesian networks with second-order probabilities.
method Extends Loopy Belief Propagation to second-order Bayesian networks.
result Generates inferences consistent with sum-product networks, more efficient and scalable.

Developed a theory of local convexity for second order differential equations on Lie algebroids.

problem Analyzing convexity in differential equations on Lie algebroids.
method Theory development for local convexity of SODEs on Lie algebroids.
result Extensive discussion of homogeneous quadratic SODEs on Lie algebroids.

In this paper, we consider the problem of machine teaching, the inverse problem of machine learning. Different from traditional machine teaching which views the learners as batch algorithms, we study a new paradigm where the learner uses an iterative algorithm and a teacher can feed examples sequentially and intelligen…

2017-05-30abs ↗pdf ↗

Machine teaching addresses the problem of finding the best training data that can guide a learning algorithm to a target model with minimal effort. In conventional settings, a teacher provides data that are consistent with the true data distribution. However, for sequential learners which actively choose their queries,…

2018-09-08abs ↗pdf ↗

Improved off-policy selection and learning in contextual bandits with better guarantees.

problem Selecting or training a reward-maximizing policy using data from a fixed behavior policy.
method A betting-based confidence bound applied to an inverse propensity weight sequence for off-policy selection, and a freezing condition for off-policy learning.
result The proposed methods achieve significantly improved guarantees over prior work, especially in small-data regimes.

Paper examines risk measure expansions under FGM dependence, improving accuracy at extreme levels.

problem Capturing higher-order tail behavior and dependence effects in risk measures.
method Second-order asymptotic expansions using extreme value theory and regular variation theory.
result Second-order approximations reduce approximation errors, especially at extreme confidence levels.

Negative step sizes improve second-order methods for neural networks.

problem Second-order methods discard negative curvature, limiting their effectiveness.
method Introduce negative step sizes in second-order methods combined with Wolfe line search.
result Negative step sizes lead to global convergence and improved performance.

This paper analyzes meta-learners for estimating multi-valued treatment effects.

problem Estimating Conditional Average Treatment Effects (CATE) with multi-valued treatments.
method The paper considers different meta-learners and analyzes their error bounds.
result Meta-learners perform well as the number of treatments increases, improving upon naive extensions.