Conditional Mean and Variance Estimation via \textit{k}-NN Algorithm with Automated Variance Selection

arXiv — stat.MLTuesday, October 28, 2025 at 4:00:00 AM
A new k-nearest neighbor (k-NN) regression method has been introduced that enhances the estimation of both conditional mean and variance. This innovative approach not only maintains the efficiency and learning capabilities of traditional k-NN models but also incorporates a data-driven variable selection step, leading to improved performance. This advancement is significant as it can provide more accurate statistical insights, which are crucial for various applications in data science and analytics.
— Curated by the World Pulse Now AI Editorial System

Was this article worth reading? Share it

Recommended Readings
CURATRON: Complete and Robust Preference Data for Rigorous Alignment of Large Language Models
PositiveArtificial Intelligence
A new paper introduces CURATRON, a method designed to improve the alignment of large language models with human values by addressing issues in preference datasets. This innovative approach not only recalibrates values but also enhances the resilience of these models against data corruption. The significance of this research lies in its potential to make AI systems more reliable and aligned with human ethics, which is crucial as we increasingly rely on AI in various aspects of life.
Uncertainty Quantification for Regression: A Unified Framework based on kernel scores
PositiveArtificial Intelligence
A new framework for uncertainty quantification in regression tasks has been introduced, addressing a significant gap in the literature that has primarily focused on classification. This framework emphasizes kernel scores and offers a unified approach to measuring total, aleatoric, and epistemic uncertainty. This is particularly important for safety-critical domains where understanding uncertainty can lead to better decision-making and improved outcomes.
Tree Ensemble Explainability through the Hoeffding Functional Decomposition and TreeHFD Algorithm
PositiveArtificial Intelligence
A recent study highlights the importance of explainability in tree ensembles, which are known for their impressive predictive performance in various applications. The Hoeffding functional decomposition method offers a solution to the black-box nature of these models by breaking them down into simpler, understandable components. This advancement is crucial for fields where critical decisions are made based on model outputs, ensuring transparency and trust in AI systems.
What TikTok’s U.S. Spin-off Means for Its Algorithm and Content Moderation
PositiveArtificial Intelligence
TikTok's potential U.S. spin-off is generating excitement as it could significantly alter the platform's algorithm and content moderation practices. This change matters because it may lead to a more tailored user experience and address concerns about data privacy and cultural representation. As TikTok continues to influence online culture, how it adapts in the U.S. could set new standards for social media platforms.
RS-ORT: A Reduced-Space Branch-and-Bound Algorithm for Optimal Regression Trees
PositiveArtificial Intelligence
A new algorithm called RS-ORT has been introduced for optimal regression trees, addressing the limitations of existing mixed-integer programming methods. This advancement is significant because it allows for better handling of continuous, large-scale data without sacrificing global optimality, which is crucial for creating efficient decision trees. By improving the training process, RS-ORT could lead to more accurate predictions and better performance in various applications, making it a noteworthy development in the field of data science.
Diffusion Models Meet Contextual Bandits
PositiveArtificial Intelligence
A recent study introduces a novel approach to online decision-making in contextual bandits by utilizing pre-trained diffusion models as informative priors. This method addresses the common inefficiencies faced by traditional techniques, allowing for faster updates and improved sampling. The findings highlight the potential of combining advanced machine learning models with decision-making frameworks, which could significantly enhance performance in various applications, making this research a valuable contribution to the field.
Beyond Augmentation: Leveraging Inter-Instance Relation in Self-Supervised Representation Learning
PositiveArtificial Intelligence
A new research paper introduces an innovative method that enhances self-supervised representation learning by incorporating graph theory. While traditional approaches mainly focus on variations within a single instance, this method also emphasizes the relationships between different instances. By constructing k-nearest neighbor graphs for both teacher and student models, it aims to improve the learning process. This advancement is significant as it could lead to more effective machine learning models, ultimately benefiting various applications in technology and data analysis.
GCAO: Group-driven Clustering via Gravitational Attraction and Optimization
PositiveArtificial Intelligence
The introduction of the Group-driven Clustering via Gravitational Attraction and Optimization (GCAO) algorithm marks a significant advancement in data analysis. Traditional clustering methods often falter with complex, high-dimensional data, leading to unreliable results. GCAO addresses these challenges by implementing a group-level optimization approach, which enhances the stability and accuracy of clustering outcomes. This innovation is crucial for researchers and data scientists as it provides a more reliable tool for analyzing intricate datasets, ultimately improving decision-making processes across various fields.
Latest from Artificial Intelligence
Roku beats expectations with Q3 net income of $24.8M, vs. a net loss of $35.8M a year ago, and revenue of $1.21B, up 14% YoY; total streaming hours rose 12% YoY (Todd Spangler/Variety)
PositiveArtificial Intelligence
Roku has reported a strong performance in its Q3 earnings, achieving a net income of $24.8 million compared to a net loss of $35.8 million from the previous year. This positive turnaround is complemented by a 14% increase in revenue, reaching $1.21 billion, and a 12% rise in total streaming hours. This news is significant as it highlights Roku's recovery and growth in the competitive streaming market, indicating a potential resurgence in user engagement and financial stability.
Sources: Intel is in early-stage talks to acquire AI chip startup SambaNova, with a deal likely valuing SambaNova below its $5B valuation in 2021 (Bloomberg)
NeutralArtificial Intelligence
Intel is reportedly in early discussions to acquire the AI chip startup SambaNova, which was valued at $5 billion in 2021. This potential acquisition could indicate Intel's strategic move to enhance its position in the AI chip market, especially as competition intensifies. While the deal is still in its early stages and may value SambaNova below its previous valuation, it highlights the growing interest in AI technologies and the importance of innovation in the semiconductor industry.
Amazon reports Q3 ad revenue up 24% YoY to $17.7B, vs. $17.3B est., and subscription services revenue up 11% YoY to $12.6B (Lucas Manfredi/The Wrap)
PositiveArtificial Intelligence
Amazon has reported a significant increase in its Q3 ad revenue, rising 24% year-over-year to $17.7 billion, surpassing estimates of $17.3 billion. Additionally, subscription services revenue grew by 11% year-over-year, reaching $12.6 billion. This growth highlights Amazon's strong position in the advertising market and its ability to attract more subscribers, which is crucial for its overall business strategy and future profitability.
Affinity resurfaces as an all-in-one illustration, photo editing and layout app
PositiveArtificial Intelligence
Affinity has made a significant comeback as a versatile all-in-one app for illustration, photo editing, and layout design. This is exciting news for creatives looking for a comprehensive tool that combines multiple functionalities in one platform, making their workflow more efficient and streamlined. With its user-friendly interface and powerful features, Affinity is set to empower artists and designers to bring their visions to life.
Smart Test Skipping: Building a Lightweight Playwright Dependency Analyzer
PositiveArtificial Intelligence
The introduction of a lightweight Playwright dependency analyzer is a game-changer for developers dealing with extensive end-to-end test suites. By automatically skipping tests that rely on a failing component, like the LoginPage, it significantly reduces the noise in test reports and helps teams quickly identify the root cause of issues. This innovation not only streamlines the testing process but also enhances overall productivity, making it easier for developers to maintain high-quality code.
Apple reports Q4 revenue up 8% YoY to $102.47B, vs. $102.24B est., net income up 86% to $27.5B, and FY 2025 revenue up 6% to $416.16B (Kif Leswing/CNBC)
PositiveArtificial Intelligence
Apple has reported a remarkable 8% increase in Q4 revenue year-over-year, reaching $102.47 billion, surpassing estimates. The company's net income soared by 86% to $27.5 billion, showcasing its strong financial health. Additionally, Apple anticipates a 6% revenue growth for fiscal year 2025, projected at $416.16 billion. This performance highlights Apple's resilience and ability to thrive in a competitive market, making it a significant player in the tech industry.