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A common belief in high-dimensional data analysis is that data are concentrated on a low-dimensional manifold. This motivates simultaneous dimension reduction and regression on manifolds. We provide an algorithm for learning gradients on…

统计理论 · 数学 2010-02-24 Sayan Mukherjee , Qiang Wu , Ding-Xuan Zhou

Deep learning has achieved remarkable success in many machine learning tasks such as image classification, speech recognition, and game playing. However, these breakthroughs are often difficult to translate into real-world engineering…

机器学习 · 计算机科学 2022-10-07 Lisha Chen , Sharu Theresa Jose , Ivana Nikoloska , Sangwoo Park , Tianyi Chen , Osvaldo Simeone

Learning by examples, which learns to solve a new problem by looking into how similar problems are solved, is an effective learning method in human learning. When a student learns a new topic, he/she finds out exemplar topics that are…

机器学习 · 计算机科学 2021-09-23 Shentong Mo , Pengtao Xie

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

数据分析、统计与概率 · 物理学 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

Can a micron sized sack of interacting molecules autonomously learn an internal model of a complex and fluctuating environment? We draw insights from control theory, machine learning theory, chemical reaction network theory, and statistical…

分子网络 · 定量生物学 2023-11-08 William Poole , Thomas E. Ouldridge , Manoj Gopalkrishnan

We design and analyze a new paradigm for building supervised learning networks, driven only by local optimization rules without relying on a global error function. Traditional neural networks with a fixed topology are made up of identical…

适应与自组织系统 · 物理学 2024-10-04 S. Barland , L. Gil

Large language models (LLMs) exhibit impressive natural language capabilities but suffer from hallucination -- generating content ungrounded in the realities of training data. Recent work has focused on decoding techniques to improve…

计算与语言 · 计算机科学 2024-04-16 Souvik Das , Lifeng Jin , Linfeng Song , Haitao Mi , Baolin Peng , Dong Yu

Multi-instance data, in which each object (bag) contains a collection of instances, are widespread in machine learning, computer vision, bioinformatics, signal processing, and social sciences. We present a maximum entropy (ME) framework for…

机器学习 · 计算机科学 2016-03-15 Behrouz Behmardi , Forrest Briggs , Xiaoli Z. Fern , Raviv Raich

In many large-scale classification problems, classes are organized in a known hierarchy, typically represented as a tree expressing the inclusion of classes in superclasses. We introduce a loss for this type of supervised hierarchical…

计算机视觉与模式识别 · 计算机科学 2024-11-26 Nicolas Urbani , Sylvain Rousseau , Yves Grandvalet , Leonardo Tanzi

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

最优化与控制 · 数学 2024-06-07 Aaron Fainman , Stefan Vlaski

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

机器学习 · 计算机科学 2023-09-26 Mo Tiwari

Will further scaling up of machine learning models continue to bring success? A significant challenge in answering this question lies in understanding generalization gap, which is the impact of overfitting. Understanding generalization gap…

机器学习 · 统计学 2026-05-18 Atsushi Suzuki , Jing Wang

A learning algorithm based on primary school teaching and learning is presented. The methodology is to continuously evaluate a student and to give them training on the examples for which they repeatedly fail, until, they can correctly…

人工智能 · 计算机科学 2010-12-14 Ninan Sajeeth Philip

We study automatic question generation for sentences from text passages in reading comprehension. We introduce an attention-based sequence learning model for the task and investigate the effect of encoding sentence- vs. paragraph-level…

计算与语言 · 计算机科学 2017-05-02 Xinya Du , Junru Shao , Claire Cardie

Specify a randomized algorithm that, given a very large graph or network, extracts a random subgraph. What can we learn about the input graph from a single subsample? We derive laws of large numbers for the sampler output, by relating…

统计理论 · 数学 2017-10-13 Peter Orbanz

Reasoning models often outperform smaller models but at 3--5$\times$ higher cost and added latency. We present entropy-guided refinement: a lightweight, test-time loop that uses token-level uncertainty to trigger a single, targeted…

人工智能 · 计算机科学 2025-09-03 Andrew G. A. Correa , Ana C. H de Matos

Data analysis and machine learning have become an integrative part of the modern scientific methodology, offering automated procedures for the prediction of a phenomenon based on past observations, unraveling underlying patterns in data and…

机器学习 · 统计学 2015-06-04 Gilles Louppe

Large reasoning models (LRMs) often consume excessive tokens, inflating computational cost and latency. More broadly, in goal reaching sequential decision problems we often want to reach the goal quickly, and LRM reasoning can be viewed…

机器学习 · 计算机科学 2026-05-27 Alex Ayoub , Kavosh Asadi , Dale Schuurmans , Csaba Szepesvári , Karim Bouyarmane

Recent advancements in reinforcement learning (RL) for large language models (LLMs), exemplified by DeepSeek R1, have shown that even a simple question-answering task can substantially improve an LLM's reasoning capabilities. In this work,…

计算与语言 · 计算机科学 2025-03-10 Stephen Chung , Wenyu Du , Jie Fu

Recent research put a big effort in the development of deep learning architectures and optimizers obtaining impressive results in areas ranging from vision to language processing. However little attention has been addressed to the need of a…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Gabriele Valvano , Andrea Leo , Daniele Della Latta , Nicola Martini , Gianmarco Santini , Dante Chiappino , Emiliano Ricciardi