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Farhad Kamangar

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IJCAI Conference 2019 Conference Paper

Non-smooth Optimization over Stiefel Manifolds with Applications to Dimensionality Reduction and Graph Clustering

  • Fariba Zohrizadeh
  • Mohsen Kheirandishfard
  • Farhad Kamangar
  • Ramtin Madani

This paper is concerned with the class of non-convex optimization problems with orthogonality constraints. We develop computationally efficient relaxations that transform non-convex orthogonality constrained problems into polynomial-time solvable surrogates. A novel penalization technique is used to enforce feasibility and derive certain conditions under which the constraints of the original non-convex problem are guaranteed to be satisfied. Moreover, we extend our approach to a feasibility-preserving sequential scheme that solves penalized relaxation to obtain near-globally optimal points. Experimental results on synthetic and real datasets demonstrate the effectiveness of the proposed approach on two practical applications in machine learning.

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NeurIPS Conference 2011 Conference Paper

Maximum Margin Multi-Instance Learning

  • Hua Wang
  • Heng Huang
  • Farhad Kamangar
  • Feiping Nie
  • Chris Ding

Multi-instance learning (MIL) considers input as bags of instances, in which labels are assigned to the bags. MIL is useful in many real-world applications. For example, in image categorization semantic meanings (labels) of an image mostly arise from its regions (instances) instead of the entire image (bag). Existing MIL methods typically build their models using the Bag-to-Bag (B2B) distance, which are often computationally expensive and may not truly reflect the semantic similarities. To tackle this, in this paper we approach MIL problems from a new perspective using the Class-to-Bag (C2B) distance, which directly assesses the relationships between the classes and the bags. Taking into account the two major challenges in MIL, high heterogeneity on data and weak label association, we propose a novel Maximum Margin Multi-Instance Learning (M3 I) approach to parameterize the C2B distance by introducing the class specific distance metrics and the locally adaptive significance coefficients. We apply our new approach to the automatic image categorization tasks on three (one single-label and two multilabel) benchmark data sets. Extensive experiments have demonstrated promising results that validate the proposed method.

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