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Distributed systems, such as biological and artificial neural networks, process information via complex interactions engaging multiple subsystems, resulting in high-order patterns with distinct properties across scales. Investigating how…

We propose a machine learning framework to accelerate numerical computations of time-dependent ODEs and PDEs. Our method is based on recasting (generalizations of) existing numerical methods as artificial neural networks, with a set of…

数值分析 · 数学 2019-03-08 Siddhartha Mishra

We initiate a study of a query-driven approach to designing partition trees for range-searching problems. Our model assumes that a data structure is to be built for an unknown query distribution that we can access through a sampling oracle,…

数据结构与算法 · 计算机科学 2025-02-20 Dimitris Fotakis , Andreas Kalavas , Ioannis Psarros

We present a novel framework for estimation and inference with the broad class of universal approximators. Estimation is based on the decomposition of model predictions into Shapley values. Inference relies on analyzing the bias and…

机器学习 · 统计学 2024-12-06 Andreas Joseph

Computing the expectation of kernel functions is a ubiquitous task in machine learning, with applications from classical support vector machines to exploiting kernel embeddings of distributions in probabilistic modeling, statistical…

机器学习 · 计算机科学 2021-07-23 Wenzhe Li , Zhe Zeng , Antonio Vergari , Guy Van den Broeck

Large language models (LLMs) power many state-of-the-art systems in natural language processing. However, these models are extremely computationally expensive, even at inference time, raising the natural question: when is the extra cost of…

机器学习 · 计算机科学 2023-05-05 Deepak Narayanan , Keshav Santhanam , Peter Henderson , Rishi Bommasani , Tony Lee , Percy Liang

We introduce local expectation gradients which is a general purpose stochastic variational inference algorithm for constructing stochastic gradients through sampling from the variational distribution. This algorithm divides the problem of…

机器学习 · 统计学 2015-03-06 Michalis K. Titsias

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

机器学习 · 计算机科学 2022-05-19 Graham W. Pulford

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

无序系统与神经网络 · 物理学 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

Connectivity queries, which check whether vertices belong to the same connected component, are fundamental in graph computations. Sliding window connectivity processes these queries over sliding windows, facilitating real-time streaming…

数据库 · 计算机科学 2025-01-07 Chao Zhang , Angela Bonifati , Tamer Özsu

We consider how to learn multi-step predictions efficiently. Conventional algorithms wait until observing actual outcomes before performing the computations to update their predictions. If predictions are made at a high rate or span over a…

机器学习 · 计算机科学 2015-08-20 Hado van Hasselt , Richard S. Sutton

Latent variable models have been playing a central role in psychometrics and related fields. In many modern applications, the inference based on latent variable models involves one or several of the following features: (1) the presence of…

统计方法学 · 统计学 2025-01-08 Siliang Zhang , Yunxiao Chen

Ensembles of classification and regression trees remain popular machine learning methods because they define flexible non-parametric models that predict well and are computationally efficient both during training and testing. During…

机器学习 · 计算机科学 2012-06-22 Sebastian Nowozin

Test-time compute scaling has emerged as a new axis along which to improve model accuracy, where additional computation is used at inference time to allow the model to think longer for more challenging problems. One promising approach for…

Decision trees are widely used for non-linear modeling, as they capture interactions between predictors while producing inherently interpretable models. Despite their popularity, performing inference on the non-linear fit remains largely…

统计方法学 · 统计学 2026-04-14 Soham Bakshi , Snigdha Panigrahi

Modern AI agents such as large language models are trained on diverse tasks -- translation, code generation, mathematical reasoning, and text prediction -- simultaneously. A key question is how to quantify the influence of each individual…

机器学习 · 计算机科学 2026-05-12 Zhenshuo Zhang , Minxuan Duan , Hongyang R. Zhang

Measuring the complexity of tree structures can be beneficial in areas that use tree data structures for storage, communication, and processing purposes. This complexity can then be used to compress tree data structures to their…

信息论 · 计算机科学 2023-09-19 Amirmohammad Farzaneh , Mihai-Alin Badiu , Justin P. Coon

Deep learning models are widely used across computer vision and other domains. When working on the model induction, selecting the right architecture for a given dataset often relies on repetitive trial-and-error procedures. This procedure…

机器学习 · 计算机科学 2026-01-06 Yen-Chia Chen , Hsing-Kuo Pao , Hanjuan Huang

Tree ensembles are very popular machine learning models, known for their effectiveness in supervised classification and regression tasks. Their performance derives from aggregating predictions of multiple decision trees, which are renowned…

最优化与控制 · 数学 2025-01-14 Lorenzo Bonasera , Emilio Carrizosa

Model performance evaluation is a critical and expensive task in machine learning and computer vision. Without clear guidelines, practitioners often estimate model accuracy using a one-time completely random selection of the data. However,…

计算机视觉与模式识别 · 计算机科学 2024-07-19 Riccardo Fogliato , Pratik Patil , Mathew Monfort , Pietro Perona