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Implicit feedback (e.g., click, dwell time) is an attractive source of training data for Learning-to-Rank, but its naive use leads to learning results that are distorted by presentation bias. For the special case of optimizing average rank…

Information Retrieval · Computer Science 2019-08-28 Aman Agarwal , Kenta Takatsu , Ivan Zaitsev , Thorsten Joachims

Unsupervised machine learning, and in particular data clustering, is a powerful approach for the analysis of datasets and identification of characteristic features occurring throughout a dataset. It is gaining popularity across scientific…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Maria El Abbassi , Jan Overbeck , Oliver Braun , Michel Calame , Herre S. J. van der Zant , Mickael L. Perrin

Majorization-minimization schemes are a broad class of iterative methods targeting general optimization problems, including nonconvex, nonsmooth and stochastic. These algorithms minimize successively a sequence of upper bounds of the…

Optimization and Control · Mathematics 2024-01-11 Daniela Lupu , Ion Necoara

Sparse methods for supervised learning aim at finding good linear predictors from as few variables as possible, i.e., with small cardinality of their supports. This combinatorial selection problem is often turned into a convex optimization…

Machine Learning · Computer Science 2010-11-15 Francis Bach

In this paper, we propose a multilevel stochastic framework for the solution of nonconvex unconstrained optimization problems. The proposed approach uses random regularized first-order models that exploit an available hierarchical…

Optimization and Control · Mathematics 2025-11-27 Filippo Marini , Margherita Porcelli , Elisa Riccietti

Uncovering unknown or missing links in social networks is a difficult task because of their sparsity and because links may represent different types of relationships, characterized by different structural patterns. In this paper, we define…

Social and Information Networks · Computer Science 2025-04-01 Lionel Tabourier , Daniel Faria Bernardes , Anne-Sophie Libert , Renaud Lambiotte

This paper is devoted to a new modification of a recently proposed adaptive stochastic mirror descent algorithm for constrained convex optimization problems in the case of several convex functional constraints. Algorithms, standard and its…

Optimization and Control · Mathematics 2020-01-22 Mohammad S. Alkousa

In this paper we analyze several new methods for solving nonconvex optimization problems with the objective function formed as a sum of two terms: one is nonconvex and smooth, and another is convex but simple and its structure is known.…

Optimization and Control · Mathematics 2014-06-25 A. Patrascu , I. Necoara

There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

In this paper, we consider the minimization of a nonsmooth nonconvex objective function $f(x)$ over a closed convex subset $\mathcal{X}$ of $\mathbb{R}^n$, with additional nonsmooth nonconvex constraints $c(x) = 0$. We develop a unified…

Optimization and Control · Mathematics 2024-04-16 Nachuan Xiao , Kuangyu Ding , Xiaoyin Hu , Kim-Chuan Toh

Many large-scale constrained optimization problems can be formulated as bilevel distributed optimization tasks over undirected networks, where agents collaborate to minimize a global cost function while adhering to constraints, relying only…

Optimization and Control · Mathematics 2025-11-25 Ajay Tak , Mayank Baranwal

We develop a new consensus-based distributed algorithm for solving learning problems with feature partitioning and non-smooth convex objective functions. Such learning problems are not separable, i.e., the associated objective functions…

Signal Processing · Electrical Eng. & Systems 2022-08-25 Cristiano Gratton , Naveen K. D. Venkategowda , Reza Arablouei , Stefan Werner

We consider several classes of highly important semidefinite optimization problems that involve both a convex objective function (smooth or nonsmooth) and additional linear or nonlinear smooth and convex constraints, which are ubiquitous in…

Optimization and Control · Mathematics 2025-04-08 Dan Garber , Atara Kaplan

We present a novel incremental learning approach for unsupervised word segmentation that combines features from probabilistic modeling and model selection. This includes super-additive penalties for addressing the cognitive burden imposed…

Computation and Language · Computer Science 2016-09-26 Ruey-Cheng Chen

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

In this paper, we propose a simple but effective semantic-based aggregation (SBA) method. The proposed SBA utilizes the discriminative filters of deep convolutional layers as semantic detectors. Moreover, we propose the effective…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Jian Xu , Chunheng Wang , Chengzuo Qi , Cunzhao Shi , Baihua Xiao

In designing personalized ranking algorithms, it is desirable to encourage a high precision at the top of the ranked list. Existing methods either seek a smooth convex surrogate for a non-smooth ranking metric or directly modify updating…

Machine Learning · Statistics 2018-08-15 Kuan Liu , Prem Natarajan

In this paper, we propose a double iteratively reweighted algorithm to solve nonconvex and nonsmooth optimization problems, where both the objectives and constraint functions are formulated by concave compositions to promote group-sparse…

Optimization and Control · Mathematics 2025-11-25 Wanqin Nie , Kai Tu , Minglu Ye , Shuqin Sun

We explore semantic correspondence estimation through the lens of unsupervised learning. We thoroughly evaluate several recently proposed unsupervised methods across multiple challenging datasets using a standardized evaluation protocol…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Mehmet Aygün , Oisin Mac Aodha

We propose an accelerated meta-algorithm, which allows to obtain accelerated methods for convex unconstrained minimization in different settings. As an application of the general scheme we propose nearly optimal methods for minimizing…