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Learning of low-rank matrices is fundamental to many machine learning applications. A state-of-the-art algorithm is the rank-one matrix pursuit (R1MP). However, it can only be used in matrix completion problems with the square loss. In this…

机器学习 · 计算机科学 2016-07-28 Quanming Yao , James T. Kwok

We recently proposed DOVER-Lap, a method for combining overlap-aware speaker diarization system outputs. DOVER-Lap improved upon its predecessor DOVER by using a label mapping method based on globally-informed greedy search. In this paper,…

音频与语音处理 · 电气工程与系统科学 2021-06-07 Desh Raj , Sanjeev Khudanpur

A new geometrically-motivated algorithm for nonnegative matrix factorization is developed and applied to the discovery of latent "topics" for text and image "document" corpora. The algorithm is based on robustly finding and clustering…

机器学习 · 统计学 2016-11-17 Weicong Ding , Mohammad H. Rohban , Prakash Ishwar , Venkatesh Saligrama

The maximization of submodular functions have found widespread application in areas such as machine learning, combinatorial optimization, and economics, where practitioners often wish to enforce various constraints; the matroid constraint…

数据结构与算法 · 计算机科学 2023-05-02 Monika Henzinger , Paul Liu , Jan Vondrak , Da Wei Zheng

Numerous applications require algorithms that can align partially overlapping point sets while maintaining invariance to geometric transformations (e.g., similarity, affine, rigid). This paper introduces a novel global optimization method…

计算机视觉与模式识别 · 计算机科学 2025-10-09 Wei Lian , Zhesen Cui , Fei Ma , Hang Pan , Wangmeng Zuo , Jianmei Zhang

Learning the unique directed acyclic graph corresponding to an unknown causal model is a challenging task. Methods based on functional causal models can identify a unique graph, but either suffer from the curse of dimensionality or impose…

机器学习 · 计算机科学 2025-01-14 Sujai Hiremath , Jacqueline R. M. A. Maasch , Mengxiao Gao , Promit Ghosal , Kyra Gan

Two genres of heuristics that are frequently reported to perform much better on "real-world" instances than in the worst case are greedy algorithms and local search algorithms. In this paper, we systematically study these two types of…

数据结构与算法 · 计算机科学 2017-07-03 Vaggos Chatziafratis , Tim Roughgarden , Jan Vondrak

Linear diagrams are an effective way to visualize set-based data by representing elements as columns and sets as rows with one or more horizontal line segments, whose vertical overlaps with other rows indicate set intersections and their…

计算几何 · 计算机科学 2022-08-18 Alexander Dobler , Martin Nöllenburg

The Mapper algorithm is an essential tool for visualizing complex, high dimensional data in topology data analysis (TDA) and has been widely used in biomedical research. It outputs a combinatorial graph whose structure implies the shape of…

机器学习 · 计算机科学 2025-04-24 Yuyang Tao , Shufei Ge

We study the classical Node-Disjoint Paths (NDP) problem: given an $n$-vertex graph $G$ and a collection $M=\{(s_1,t_1),\ldots,(s_k,t_k)\}$ of pairs of vertices of $G$ called demand pairs, find a maximum-cardinality set of node-disjoint…

数据结构与算法 · 计算机科学 2016-03-18 Julia Chuzhoy , David H. K. Kim , Shi Li

Image Retrieval is commonly evaluated with Average Precision (AP) or Recall@k. Yet, those metrics, are limited to binary labels and do not take into account errors' severity. This paper introduces a new hierarchical AP training method for…

计算机视觉与模式识别 · 计算机科学 2022-07-25 Elias Ramzi , Nicolas Audebert , Nicolas Thome , Clément Rambour , Xavier Bitot

Learning structured models using maximum margin techniques has become an indispensable tool for com- puter vision researchers, as many computer vision applications can be cast naturally as an image labeling problem. Pixel-based or…

机器学习 · 计算机科学 2013-09-17 Andreas Christian Mueller , Sven Behnke

We study stochastic optimization problems with objective function given by the expectation of the maximum of two linear functions defined on the component random variables of a multivariate Gaussian distribution. We consider random…

最优化与控制 · 数学 2021-12-15 David Bergman , Carlos Cardonha , Jason Imbrogno , Leonardo Lozano

Acquiring plausible pathways on high-dimensional structural distributions is beneficial in several domains. For example, in the drug discovery field, a protein conformational pathway, i.e. a highly probable sequence of protein structural…

We leverage the connections between nonexpansive maps, monotone Lipschitz operators, and proximal mappings to obtain near-optimal (i.e., optimal up to poly-log factors in terms of iteration complexity) and parameter-free methods for solving…

最优化与控制 · 数学 2020-04-14 Jelena Diakonikolas

Multi-objective optimization is a crucial matter in computer systems design space exploration because real-world applications often rely on a trade-off between several objectives. Derivatives are usually not available or impractical to…

机器学习 · 计算机科学 2019-07-26 Luigi Nardi , David Koeplinger , Kunle Olukotun

This study proposes a Newton based multiple objective optimization algorithm for hyperparameter search. The first order differential (gradient) is calculated using finite difference method and a gradient matrix with vectorization is formed…

最优化与控制 · 数学 2024-01-09 Qinwu Xu

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

人工智能 · 计算机科学 2012-06-18 Ydo Wexler , Christopher Meek

In this letter, we consider the Multi-Robot Efficient Search Path Planning (MESPP) problem, where a team of robots is deployed in a graph-represented environment to capture a moving target within a given deadline. We prove this problem to…

机器人学 · 计算机科学 2021-01-14 Beatriz A. Asfora , Jacopo Banfi , Mark Campbell

Models based on approximation capabilities have recently been studied in the context of Optimal Recovery. These models, however, are not compatible with overparametrization, since model- and data-consistent functions could then be…

最优化与控制 · 数学 2020-04-02 Simon Foucart