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Factorization machines (FMs) are a supervised learning approach that can use second-order feature combinations even when the data is very high-dimensional. Unfortunately, despite increasing interest in FMs, there exists to date no efficient…

机器学习 · 统计学 2016-10-17 Mathieu Blondel , Akinori Fujino , Naonori Ueda , Masakazu Ishihata

Although many techniques have been applied to matrix factorization (MF), they may not fully exploit the feature structure. In this paper, we incorporate the grouping effect into MF and propose a novel method called Robust Matrix…

机器学习 · 计算机科学 2021-07-09 Haiyan Jiang , Shuyu Li , Luwei Zhang , Haoyi Xiong , Dejing Dou

Matrix factorization is a well-studied task in machine learning for compactly representing large, noisy data. In our approach, instead of using the traditional concept of matrix rank, we define a new notion of link-rank based on a…

机器学习 · 统计学 2018-05-02 Pouya Pezeshkpour , Carlos Guestrin , Sameer Singh

Recently, Factorization Machines (FM) has become more and more popular for recommendation systems, due to its effectiveness in finding informative interactions between features. Usually, the weights for the interactions is learnt as a low…

机器学习 · 计算机科学 2018-04-18 Longfei Li , Peilin Zhao , Jun Zhou , Xiaolong Li

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM…

机器学习 · 计算机科学 2019-05-21 Xiaoshuang Chen , Yin Zheng , Jiaxing Wang , Wenye Ma , Junzhou Huang

We develop a new collaborative filtering (CF) method that combines both previously known users' preferences, i.e. standard CF, as well as product/user attributes, i.e. classical function approximation, to predict a given user's interest in…

机器学习 · 计算机科学 2007-05-23 Jacob Abernethy , Francis Bach , Theodoros Evgeniou , Jean-Philippe Vert

Factorization machine (FM) is an effective model for feature-based recommendation which utilizes inner product to capture second-order feature interactions. However, one of the major drawbacks of FM is that it couldn't capture complex…

机器学习 · 计算机科学 2024-04-03 Enneng Yang , Xin Xin , Li Shen , Guibing Guo

In this paper, we provide novel algorithms with identifiability guarantees for simplex-structured matrix factorization (SSMF), a generalization of nonnegative matrix factorization. Current state-of-the-art algorithms that provide…

机器学习 · 计算机科学 2021-05-12 Maryam Abdolali , Nicolas Gillis

Low rank matrix recovery problems, including matrix completion and matrix sensing, appear in a broad range of applications. In this work we present GNMR -- an extremely simple iterative algorithm for low rank matrix recovery, based on a…

最优化与控制 · 数学 2022-04-28 Pini Zilber , Boaz Nadler

Generalized approximate message passing (GAMP) is a promising technique for unknown signal reconstruction of generalized linear models (GLM). However, it requires that the transformation matrix has independent and identically distributed…

信息论 · 计算机科学 2021-10-18 Feiyan Tian , Lei Liu , Xiaoming Chen

Supervised matrix factorization (SMF) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. Our goal is to use SMF to learn…

机器学习 · 统计学 2023-11-21 Joowon Lee , Hanbaek Lyu , Weixin Yao

What learning algorithms can be run directly on compressively-sensed data? In this work, we consider the question of accurately and efficiently computing low-rank matrix or tensor factorizations given data compressed via random projections.…

机器学习 · 计算机科学 2019-05-28 Vatsal Sharan , Kai Sheng Tai , Peter Bailis , Gregory Valiant

Generalized linear models (GLMs) arise in high-dimensional machine learning, statistics, communications and signal processing. In this paper we analyze GLMs when the data matrix is random, as relevant in problems such as compressed sensing,…

信息论 · 计算机科学 2019-04-01 Jean Barbier , Florent Krzakala , Nicolas Macris , Léo Miolane , Lenka Zdeborová

We study an extreme scenario in multi-label learning where each training instance is endowed with a single one-bit label out of multiple labels. We formulate this problem as a non-trivial special case of one-bit rank-one matrix sensing and…

机器学习 · 统计学 2017-03-20 Shuang Qiu , Tingjin Luo , Jieping Ye , Ming Lin

This paper introduces RankMap, a platform-aware end-to-end framework for efficient execution of a broad class of iterative learning algorithms for massive and dense datasets. Our framework exploits data structure to factorize it into an…

分布式、并行与集群计算 · 计算机科学 2016-10-28 Azalia Mirhoseini , Eva L. Dyer , Ebrahim. M. Songhori , Richard G. Baraniuk , Farinaz Koushanfar

Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing. Given a data matrix $M$ and a…

机器学习 · 计算机科学 2021-04-14 Junjun Pan , Nicolas Gillis

We present GOFMM (geometry-oblivious FMM), a novel method that creates a hierarchical low-rank approximation, "compression," of an arbitrary dense symmetric positive definite (SPD) matrix. For many applications, GOFMM enables an approximate…

数值分析 · 计算机科学 2017-07-04 Chenhan D. Yu , James Levitt , Severin Reiz , George Biros

Classifying the training data correctly without over-fitting is one of the goals in machine learning. In this paper, we propose a generalization-memorization mechanism, including a generalization-memorization decision and a memory modeling…

机器学习 · 计算机科学 2024-04-09 Zhen Wang , Yuan-Hai Shao

In this paper, we develop a parameter estimation method for factorially parametrized models such as Factorial Gaussian Mixture Model and Factorial Hidden Markov Model. Our contributions are two-fold. First, we show that the emission matrix…

机器学习 · 计算机科学 2015-08-20 Y. Cem Subakan , Johannes Traa , Paris Smaragdis , Noah Stein

Grokking occurs when a model achieves high training accuracy but generalization to unseen test points happens long after that. This phenomenon was initially observed on a class of algebraic problems, such as learning modular arithmetic…

机器学习 · 统计学 2026-04-02 Marcel Tomàs Bernal , Neil Rohit Mallinar , Mikhail Belkin