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We consider joint optimization and learning problems arising in real-time decision systems. While most existing work focuses primarily on convex, revenue-based objectives, we extend this line of research to multi-objective formulations. In…

最优化与控制 · 数学 2026-04-14 Zijun Li , Aswin Kannan

Maximum consensus estimation plays a critically important role in robust fitting problems in computer vision. Currently, the most prevalent algorithms for consensus maximization draw from the class of randomized hypothesize-and-verify…

计算机视觉与模式识别 · 计算机科学 2018-10-24 Huu Le , Tat-Jun Chin , Anders Eriksson , Thanh-Toan Do , David Suter

Policy-gradient approaches to reinforcement learning have two common and undesirable overhead procedures, namely warm-start training and sample variance reduction. In this paper, we describe a reinforcement learning method based on a…

机器学习 · 计算机科学 2017-10-17 Nan Ding , Radu Soricut

In structured prediction problems where we have indirect supervision of the output, maximum marginal likelihood faces two computational obstacles: non-convexity of the objective and intractability of even a single gradient computation. In…

机器学习 · 统计学 2016-08-11 Aditi Raghunathan , Roy Frostig , John Duchi , Percy Liang

In many scenarios, one uses a large training set to train a model with the goal of performing well on a smaller testing set with a different distribution. Learning a weight for each data point of the training set is an appealing solution,…

机器学习 · 统计学 2023-10-27 Anastasia Ivanova , Pierre Ablin

The importance of an adequate inner loop starting point (as opposed to a sufficient inner loop stopping rule) is discussed in the context of a numerical optimization algorithm consisting of nested primal-dual proximal-gradient iterations.…

最优化与控制 · 数学 2018-06-21 Jixin Chen , Ignace Loris

Machine learning models have traditionally been developed under the assumption that the training and test distributions match exactly. However, recent success in few-shot learning and related problems are encouraging signs that these models…

机器学习 · 统计学 2020-10-15 James Lucas , Mengye Ren , Irene Kameni , Toniann Pitassi , Richard Zemel

Non-convex optimization problems are challenging to solve; the success and computational expense of a gradient descent algorithm or variant depend heavily on the initialization strategy. Often, either random initialization is used or…

机器学习 · 计算机科学 2020-12-23 Kartik Ahuja , Amit Dhurandhar , Kush R. Varshney

We present an algorithm for minimizing the sum of a strongly convex time-varying function with a time-invariant, convex, and nonsmooth function. The proposed algorithm employs the prediction-correction scheme alongside the forward-backward…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

Many meta-learning approaches for few-shot learning rely on simple base learners such as nearest-neighbor classifiers. However, even in the few-shot regime, discriminatively trained linear predictors can offer better generalization. We…

计算机视觉与模式识别 · 计算机科学 2019-04-24 Kwonjoon Lee , Subhransu Maji , Avinash Ravichandran , Stefano Soatto

Many techniques for online optimization problems involve making decisions based solely on presently available information: fewer works take advantage of potential predictions. In this paper, we discuss the problem of online convex…

最优化与控制 · 数学 2019-02-04 Robert Ravier , Vahid Tarokh

This paper considers unconstrained convex optimization problems with time-varying objective functions. We propose algorithms with a discrete time-sampling scheme to find and track the solution trajectory based on prediction and correction…

信息论 · 计算机科学 2017-09-18 Andrea Simonetto , Aryan Mokhtari , Alec Koppel , Geert Leus , Alejandro Ribeiro

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

计算机视觉与模式识别 · 计算机科学 2017-01-13 Mengtian Li , Daniel Huber

Consider convex optimization problems subject to a large number of constraints. We focus on stochastic problems in which the objective takes the form of expected values and the feasible set is the intersection of a large number of convex…

机器学习 · 统计学 2015-11-13 Mengdi Wang , Yichen Chen , Jialin Liu , Yuantao Gu

A wide array of machine learning problems are formulated as the minimization of the expectation of a convex loss function on some parameter space. Since the probability distribution of the data of interest is usually unknown, it is is often…

最优化与控制 · 数学 2019-05-27 Emilie Chouzenoux , Henri Gérard , Jean-Christophe Pesquet

Many real-world decision processes are modeled by optimization problems whose defining parameters are unknown and must be inferred from observable data. The Predict-Then-Optimize framework uses machine learning models to predict unknown…

机器学习 · 计算机科学 2023-11-23 James Kotary , Vincenzo Di Vito , Jacob Christopher , Pascal Van Hentenryck , Ferdinando Fioretto

A common challenge in personalized user preference prediction is the cold-start problem. Due to the lack of user-item interactions, directly learning from the new users' log data causes serious over-fitting problem. Recently, many existing…

信息检索 · 计算机科学 2020-12-23 Runsheng Yu , Yu Gong , Xu He , Bo An , Yu Zhu , Qingwen Liu , Wenwu Ou

We address the solution of time-varying optimization problems characterized by the sum of a time-varying strongly convex function and a time-invariant nonsmooth convex function. We design an online algorithmic framework based on…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

For tackling the well known cold-start user problem in model-based recommender systems, one approach is to recommend a few items to a cold-start user and use the feedback to learn a profile. The learned profile can then be used to make good…

信息检索 · 计算机科学 2017-03-02 Sampoorna Biswas , Laks V. S. Lakshmanan , Senjuti Basu Ray

We address the problem of minimizing a convex smooth function $f(x)$ over a compact polyhedral set $D$ given a stochastic zeroth-order constraint feedback model. This problem arises in safety-critical machine learning applications, such as…

最优化与控制 · 数学 2019-12-10 Ilnura Usmanova , Andreas Krause , Maryam Kamgarpour