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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.

169,341 papers · 148 categories

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48 results for semi-random features

Proposes semi-random features for nonlinear function approximation.

problem Nonlinear function approximation in machine learning.
method Semi-random features as a middle ground between deep learning and kernel methods.
result Proves universal approximation and generalization for deep semi-random features.

New algorithm tackles non-convex matrix completion in semi-random settings.

problem Matrix completion in semi-random environments with varying observation probabilities.
method Proposes a pre-processing step to re-weight semi-random input, followed by a nearly-linear time algorithm.
result Recovering ground-truth matrix using non-convex local minima after pre-processing.

Paper tackles ranking items with a semi-random comparison graph and a monotone adversary.

problem Ranking items based on pairwise comparisons from a semi-random comparison graph with a monotone adversary.
method Developed a weighted maximum likelihood estimator (MLE) and an SDP-based approach to reweight the semi-random graph.
result Achieves near-optimal sample complexity, up to a log^2(n) factor, for identifying the top-K preferred items.

Spectral ranking methods are improved against semi-random graph sampling.

problem Improving spectral ranking methods in semi-random graph sampling.
method Investigating entry-wise error of spectral algorithms against a semi-random adversary.
result Asymptotic performance can be recovered by reweighting observed edges.

This paper analyzes the robustness of classifiers to semi-random noise.

problem Vulnerability of classifiers to adversarial perturbations and robustness to random noise.
method Proposes a semi-random noise regime and establishes precise theoretical bounds on classifier robustness.
result Quantifies the robustness of classifiers in a general noise regime and interpolates between worst-case and random noise regimes.

SDP relaxation for Sub-Gaussian Mixture Model achieves optimal error bound and robustness.

problem Estimating discrete clustering structures in Sub-Gaussian Mixture Model.
method Hidden integrality property of SDP relaxation and semi-random robustness analysis.
result SDP relaxation achieves optimal error bound and robustness in semi-random setting.

KSS method converges and recovers correct clustering under certain conditions.

problem Subspace clustering for semi-randomly sampled data.
method Local convergence analysis and recovery guarantee for KSS method.
result KSS method converges superlinearly and finds correct clustering within loglog N iterations.

A fast, non-iterative method for missing value imputation using random trees.

problem Missing value imputation in large and high-dimensional datasets.
method Recursive semi-random hyperplane cuts to assign observations to buckets and calculate weighted averages as imputations.
result Significantly faster than chained equations and scales well to large datasets.

Improved SGD for robust linear and ReLU regression with adversarial corruptions.

problem Robust regression with adversarial corruptions in streaming data.
method Stochastic gradient descent (SGD-exp) with exponentially decaying step size.
result Nearly linear convergence to true parameter with up to 50% Massart corruption rate.

Efficient algorithm detects communities in noisy graphs with robustness.

problem Community detection in stochastic block models with adversarial corruptions.
method Efficient algorithm using semidefinite programming for robust clustering.
result Achieves error O(ε)+eC2(1±o(1))O(ε) + e^{-\frac{C}{2} (1 \pm o(1))} for εε-fraction of corruptions.

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this problem is the stochastic block model, also referred to as the planted partition model…

2012-10-11abs ↗pdf ↗

Paper improves 0\ell^{0}-SSC for noisy data by proving SDP and proposing Noisy-DR-0\ell^{0}-SSC.

problem Noisy data and less restrictive subspace affinity in sparse subspace clustering.
method Proposes Noisy-DR-0\ell^{0}-SSC, which projects data onto a lower dimensional space and then applies noisy 0\ell^{0}-SSC.
result Theoretical guarantee on the correctness of noisy 0\ell^{0}-SSC in terms of SDP on noisy data.

This paper improves linear system solving by optimizing matrix diagonal scaling.

problem Improving the condition number of a matrix for faster iterative methods.
method Left or right diagonal rescaling of the matrix A, with new bounds and algorithms.
result Jacobi preconditioning reduces A's condition number to within a quadratic factor of the best possible scaling.

New method evaluates feature interactions using orthogonal variance decomposition.

problem Feature selection fails to account for interactions between features.
method Orthogonal variance decomposition to evaluate feature subsets considering interactions.
result Our method accurately identifies relevant features and improves model accuracy.

Feature networks link ML features via graph structure for enhanced learning.

problem Enhancing feature expressiveness and learning efficiency in machine learning.
method Graph representation of feature vectors, leveraging Fourier and functional analysis.
result Feature networks enable novel, complex feature dependencies.

New stability measures for similar features improve feature selection accuracy.

problem Existing stability measures fail to distinguish similar features in highly correlated datasets.
method Introduce new adjusted stability measures that consider feature similarities.
result One new stability measure considers highly similar features as interchangeable.

This paper shows feature importance remains valid even in low-performing models.

problem Feature importance validity in low-performing machine learning models for biomedical data.
method Experiments with synthetic and real biomedical datasets to compare feature rank stability under different data reductions.
result Feature importance can be maintained even at low performance levels if data size is adequate.

New algorithms select and rank features from MTS without feature extraction.

problem Feature extraction step for MTS classification.
method Directly computes similarity between time series and assesses cluster structure matching labels.
result Techniques match labels well without feature extraction.

Pipeline learns topological features for protein stability prediction.

problem Predicting protein stability using topological features.
method Data-driven method to learn topological features, comparing with expert features.
result Topological features achieve 92%-99% of SME-based models' performance.

A new learning method for evolving features in streaming data.

problem Learning with data streams where features can change over time.
method Develops a learning paradigm for feature evolvable streaming data, combining predictions from old and new features.
result Improves performance on new features by leveraging recovered old features.

FeAT improves OOD generalization by learning richer features.

problem Improving feature learning for out-of-distribution (OOD) generalization.
method Feature Augmented Training (FeAT) iteratively augments and retains features from different subsets of training data.
result FeAT effectively learns richer features, boosting OOD performance.

The paper defines and analyzes feature complexity in DNNs, proposing metrics for feature disentanglement and evaluation.

problem Understanding and quantifying the complexity of features learned by deep neural networks.
method Proposes a definition and disentanglement of feature complexity orders, introduces metrics for reliability and over-fitting evaluation.
result Establishes a relationship between feature complexity and DNN performance, and proposes a generic mathematical tool for network compression and knowledge distillation.

A new feature selection method using structural correlation between samples.

problem Feature selection in high-dimensional data overlooks structural correlation information.
method Converts features into graph representations, uses fused lasso for feature selection.
result Demonstrates effectiveness of the proposed approach through experiments.

A new method for measuring conditional feature importance using generative models.

problem Challenges in evaluating feature importance given other feature values.
method Adversarial Random Forest (ARF) for generating on-manifold data points.
result cARFi method yields robust importance scores adaptable for various feature importance notions.

Feature bagging improves stability through random feature subsampling.

problem Improving the stability of ensemble learning methods.
method Introducing feature instability (FI) and analyzing feature bagging in parametric and model-free settings.
result Feature bagging provides stronger stability than non-bagged methods, especially with aggressive subsampling.

CAN approximates explicit feature interactions for CTR prediction.

problem Learning explicit feature interactions from sparse features.
method Co-Action Network approximates explicit pairwise feature interactions without introducing too many additional parameters.
result CAN outperforms state-of-the-art CTR models and the cartesian product method.

Paper tackles unpredictable feature evolution in learning.

problem Learning with unpredictable feature evolution.
method Proposes PUFE method to fill incomplete overlapping period and formulate as matrix completion problem. Uses ensemble method to incorporate old and new feature spaces.
result Theoretical and experimental validation shows PUFE method can always follow the best base models.

New method disentangles feature importance scores in machine learning.

problem Misinterpretation of feature importance scores due to interactions and dependencies.
method Derive DIP (Disentangled Importance) decomposition of feature importance scores.
result DIP decomposition uniquely separates standalone contributions from interactions and dependencies.

GRANITE unifies feature-based explanation methods to reduce disagreement.

problem Disagreement among feature-based explanation methods.
method GRANITE partitions feature space into regions minimizing interaction and distribution influences.
result Unified and consistent feature explanations.

Orthogonal random features approximate a Bessel kernel, offering sharper bounds than random Fourier features.

problem Approximating Gaussian kernel efficiently for large datasets.
method Use of Haar orthogonal matrices to construct orthogonal random features and analyze their bias and variance.
result Orthogonal random features approximate a Bessel kernel, not the Gaussian kernel, with sharper bounds.