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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.

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21 results for PTAS

Unified Bayesian framework for PTA data analysis tackles hierarchical model issues.

problem Hierarchical Bayesian modeling challenges in PTA data analysis.
method Reparameterization strategy using Normalizing Flows (NFs) and i-nessai nested sampler.
result Improved statistical robustness and computational efficiency in PTA analysis.

This paper formalizes Uniswap v3 using PTA and FST for rigorous analysis.

problem Formal modeling of Uniswap v3's concentrated liquidity for rigorous analysis.
method Formal state machine models using PTA and FST, proving rounding bounds.
result Formal justification of Uniswap v3's εε-slack and rounding safety.

Paper predicts international trade flows using machine learning and factorization models.

problem Predicting international bilateral trade flows with PTAs.
method Two-stage approach combining SHAP Explainer and Factorization Machine models.
result Enhanced predictive accuracy and deeper insights into trade dynamics.

Decoupled GCN is shown to be equivalent to label propagation.

problem Improving semi-supervised node classification in graph learning.
method The paper proves the equivalence of decoupled GCN and label propagation, and proposes a new method named PTA.
result Decoupled GCN is equivalent to two-step label propagation and can automatically assign weights to pseudo-labels.

First proper learning algorithm for Gaussian halfspaces with matching sample and computational complexity.

problem Agnostically learning halfspaces under Gaussian distribution.
method First proper learning algorithm with matching sample and computational complexity.
result First proper learning algorithm for agnostically learning halfspaces under Gaussian distribution with matching sample and computational complexity.

New algorithm learns random neural networks efficiently.

problem Learning random constant-depth neural networks efficiently.
method Presented a PTAS (Polynomial-Time Approximation Scheme) for learning random Xavier networks of fixed depth.
result For any fixed ε and depth i, there is a poly-time algorithm that learns random Xavier networks up to an additive error of ε.

Designs efficient algorithms to maximize the expectation of Gaussian random variables.

problem Maximizing the expectation of the supremum of Gaussian random variables.
method Polynomial time approximation scheme and O(logn)O(\log n) approximation algorithm for general m>1m>1.
result Characterizes optimal variance allocation and provides approximation algorithms.

DiD-BCF model improves causal inference in panel data with robust non-parametric methods.

problem Challenges in Difference-in-Differences (DiD) estimation, especially heterogeneous treatment effects and non-linearities.
method Difference-in-Differences Bayesian Causal Forest (DiD-BCF) with PTA-based reparameterization.
result DiD-BCF provides superior performance and uncovers significant heterogeneity in treatment effects.

In Bipartite Correlation Clustering (BCC) we are given a complete bipartite graph GG with `+' and `-' edges, and we seek a vertex clustering that maximizes the number of agreements: the number of all `+' edges within clusters plus all `-' edges cut across clusters. BCC is known to be NP-hard. We present a novel approx…

2016-03-09abs ↗pdf ↗

In this paper, we study the stochastic combinatorial multi-armed bandit (CMAB) framework that allows a general nonlinear reward function, whose expected value may not depend only on the means of the input random variables but possibly on the entire distributions of these variables. Our framework enables a much larger c…

2016-10-20abs ↗pdf ↗

Novel LSTM network predicts pulsar timing residuals with few-shot data.

problem Predicting pulsar timing residuals with limited data.
method Long Short-Term Memory (LSTM) network optimized with model-agnostic meta-learning and particle swarm optimization.
result Robust generalization and accurate predictions across high-frequency test domains with minimal data.

We give the first dimension-efficient algorithms for learning Rectified Linear Units (ReLUs), which are functions of the form xmax(0,wx)\mathbf{x} \mapsto \max(0, \mathbf{w} \cdot \mathbf{x}) with wSn1\mathbf{w} \in \mathbb{S}^{n-1}. Our algorithm works in the challenging Reliable Agnostic learning model of Kalai, Kanade, and Ma…

2016-11-30abs ↗pdf ↗

This paper defends SVMs against poisoning attacks using DBSCAN and hardness proofs.

problem Adversarial injection of specially crafted samples into training data to misclassify SVMs.
method Two strategies: robust SVM algorithms and data sanitization (DBSCAN).
result Proves hardness of simple SVM problem and effectiveness of DBSCAN for poisoning attacks.

A new framework improves fairness in clustering and Wasserstein Barycenter problems.

problem Fair clustering in datasets with multiple groups.
method Relax and Merge framework for (1+4ρ+O(ε))(1+4ρ+ O(ε))-approximate solutions.
result Improved approximation guarantees for fairness constraints.

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.

We develop an efficient algorithm for low-rank approximation with improved approximation guarantees.

problem Optimal low-rank approximation of matrices with 1\ell_1 norm constraints.
method Polynomial time column subset selection-based algorithm achieving ildeO(k1/2) ilde{O}(k^{1/2})-approximation.
result Improved approximation guarantees for 1\ell_1 low-rank approximation.