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The vast majority of theoretical results in machine learning and statistics assume that the available training data is a reasonably reliable reflection of the phenomena to be learned or estimated. Similarly, the majority of machine learning…

机器学习 · 计算机科学 2017-06-13 Moses Charikar , Jacob Steinhardt , Gregory Valiant

Performance metrics measuring in Financial Integrity systems are crucial for maintaining an efficient and cost effective operation. An important performance metric is False Positive Rate. This metric cannot be directly monitored since we…

机器学习 · 计算机科学 2022-08-30 Moshe Tocker

Complex systems are found in most branches of science. It is still argued how to best quantify their complexity and to what end. One prominent measure of complexity (the statistical complexity) has an operational meaning in terms of the…

数据分析、统计与概率 · 物理学 2011-10-24 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

We integrate information-theoretic concepts into the design and analysis of optimistic algorithms and Thompson sampling. By making a connection between information-theoretic quantities and confidence bounds, we obtain results that relate…

机器学习 · 统计学 2019-11-25 Xiuyuan Lu , Benjamin Van Roy

In this paper, we provide two new stable online algorithms for the problem of prediction in reinforcement learning, \emph{i.e.}, estimating the value function of a model-free Markov reward process using the linear function approximation…

机器学习 · 计算机科学 2018-06-19 Ajin George Joseph , Shalabh Bhatnagar

Understanding and certifying the generalization performance of machine learning algorithms -- i.e. obtaining theoretical estimates of the test error from the training error -- is a central theme of statistical learning theory. Among the…

机器学习 · 计算机科学 2026-05-26 Sho Sonoda , Kazumi Kasaura , Yuma Mizuno , Kei Tsukamoto , Naoto Onda

Conformal Prediction (CP) is a popular uncertainty quantification method that provides distribution-free, statistically valid prediction sets, assuming that training and test data are exchangeable. In such a case, CP's prediction sets are…

计算机科学中的逻辑 · 计算机科学 2024-11-19 Linus Jeary , Tom Kuipers , Mehran Hosseini , Nicola Paoletti

This work studies the problem of constructing a representative workload from a given input analytical query workload where the former serves as an approximation with guarantees of the latter. We discuss our work in the context of workload…

数据库 · 计算机科学 2021-02-04 Shaleen Deep , Anja Gruenheid , Paraschos Koutris , Jeffrey Naughton , Stratis Viglas

This paper focuses on understanding how the generalization error scales with the amount of the training data for deep neural networks (DNNs). Existing techniques in statistical learning require computation of capacity measures, such as VC…

机器学习 · 计算机科学 2021-05-06 Devansh Bisla , Apoorva Nandini Saridena , Anna Choromanska

When training data is sparse, more domain knowledge must be incorporated into the learning algorithm in order to reduce the effective size of the hypothesis space. This paper builds on previous work in which knowledge about qualitative…

机器学习 · 计算机科学 2012-07-09 Eric E. Altendorf , Angelo C. Restificar , Thomas G. Dietterich

We explore the Iterative Inference Hypothesis (IIH) within the context of transformer-based language models, aiming to understand how a model's latent representations are progressively refined and whether observable differences are present…

计算与语言 · 计算机科学 2024-12-10 Greyson Brothers , Willa Mannering , Amber Tien , John Winder

An important research thread in algorithmic game theory studies the design of efficient truthful mechanisms that approximate the optimal social welfare. A fundamental question is whether an \alpha-approximation algorithm translates into an…

计算机科学与博弈论 · 计算机科学 2015-05-13 Chandra Chekuri , Iftah Gamzu

Temporal abstraction allows reinforcement learning agents to represent knowledge and develop strategies over different temporal scales. The option-critic framework has been demonstrated to learn temporally extended actions, represented as…

机器学习 · 计算机科学 2025-11-21 Anand Kamat , Doina Precup

This paper formalizes a latent variable inference problem we call {\em supervised pattern discovery}, the goal of which is to find sets of observations that belong to a single ``pattern.'' We discuss two versions of the problem and prove…

机器学习 · 统计学 2014-02-10 Jonathan H. Huggins , Cynthia Rudin

Model multiplicity is a well-known but poorly understood phenomenon that undermines the generalisation guarantees of machine learning models. It appears when two models with similar training-time performance differ in their predictions and…

机器学习 · 计算机科学 2023-02-01 Ari Heljakka , Martin Trapp , Juho Kannala , Arno Solin

In clinical machine learning, the coexistence of multiple models with comparable performance (a manifestation of the Rashomon Effect) poses fundamental challenges for trustworthy deployment and evaluation. Small, imbalanced, and noisy…

机器学习 · 计算机科学 2026-01-13 Yuwen Zhang , Viet Tran , Paul Weng

Information capacity of a symbol sequence is a measure of the unexpectedness of a continuation of given string of symbols. Continuation of a string is determined through the maximum entropy of the reconstructed frequency dictionary; the…

基因组学 · 定量生物学 2007-05-23 Michael G. Sadovsky

Entropy measures quantify the amount of information and correlation present in a quantum system. In practice, when the quantum state is unknown and only copies thereof are available, one must resort to the estimation of such entropy…

量子物理 · 物理学 2024-03-27 Ziv Goldfeld , Dhrumil Patel , Sreejith Sreekumar , Mark M. Wilde

We consider the group testing problem, in the case where the items are defective independently but with non-constant probability. We introduce and analyse an algorithm to solve this problem by grouping items together appropriately. We give…

信息论 · 计算机科学 2015-02-04 Tom Kealy , Oliver Johnson , Robert Piechocki

A remarkable recent paper by Rubinfeld and Vasilyan (2022) initiated the study of \emph{testable learning}, where the goal is to replace hard-to-verify distributional assumptions (such as Gaussianity) with efficiently testable ones and to…

机器学习 · 计算机科学 2022-11-28 Aravind Gollakota , Adam R. Klivans , Pravesh K. Kothari