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The delayed feedback problem is one of the imperative challenges in online advertising, which is caused by the highly diversified feedback delay of a conversion varying from a few minutes to several days. It is hard to design an appropriate…

Machine Learning · Computer Science 2021-08-16 Haoming Li , Feiyang Pan , Xiang Ao , Zhao Yang , Min Lu , Junwei Pan , Dapeng Liu , Lei Xiao , Qing He

Submodular set-functions have many applications in combinatorial optimization, as they can be minimized and approximately maximized in polynomial time. A key element in many of the algorithms and analyses is the possibility of extending the…

Machine Learning · Computer Science 2016-02-24 Francis Bach

Submodular maximization subject to matroid constraints is a central problem with many applications in machine learning. As algorithms are increasingly used in decision-making over datapoints with sensitive attributes such as gender or race,…

Data Structures and Algorithms · Computer Science 2026-01-16 Sepideh Mahabadi , Sherry Sarkar , Jakub Tarnawski

Submodular functions are a broad class of set functions, which naturally arise in diverse areas. Many algorithms have been suggested for the maximization of these functions. Unfortunately, once the function deviates from submodularity, the…

Discrete Mathematics · Computer Science 2017-07-17 Lin Chen , Moran Feldman , Amin Karbasi

Many prediction domains, such as ad placement, recommendation, trajectory prediction, and document summarization, require predicting a set or list of options. Such lists are often evaluated using submodular reward functions that measure…

Machine Learning · Computer Science 2013-05-14 Stephane Ross , Jiaji Zhou , Yisong Yue , Debadeepta Dey , J. Andrew Bagnell

Contention resolution schemes have proven to be a useful and unifying abstraction for a variety of constrained optimization problems, in both offline and online arrival models. Much of prior work restricts attention to product distributions…

Data Structures and Algorithms · Computer Science 2020-04-30 Shaddin Dughmi

In this paper we study the fundamental problems of maximizing a continuous non-monotone submodular function over the hypercube, both with and without coordinate-wise concavity. This family of optimization problems has several applications…

Data Structures and Algorithms · Computer Science 2018-05-25 Rad Niazadeh , Tim Roughgarden , Joshua R. Wang

A number of recent results on optimization problems involving submodular functions have made use of the multilinear relaxation of the problem. These results hold typically in the value oracle model, where the objective function is…

Data Structures and Algorithms · Computer Science 2013-01-31 Jan Vondrak

In our problem, we are given access to a number of sequences of nonnegative i.i.d. random variables, whose realizations are observed sequentially. All sequences are of the same finite length. The goal is to pick one element from each…

Statistics Theory · Mathematics 2024-02-06 Aristomenis Tsopelakos , Olgica Milenkovic

We consider maximization of stochastic monotone continuous submodular functions (CSF) with a diminishing return property. Existing algorithms only guarantee the performance \textit{in expectation}, and do not bound the probability of…

Data Structures and Algorithms · Computer Science 2023-03-22 Evan Becker , Jingdong Gao , Ted Zadouri , Baharan Mirzasoleiman

In the single stock trading prophet problem formulated by Correa et al.\ (2023), an online algorithm observes a sequence of prices of a stock. At each step, the algorithm can either buy the stock by paying the current price if it doesn't…

Data Structures and Algorithms · Computer Science 2025-04-21 Surbhi Rajput , Ashish Chiplunkar , Rohit Vaish

We investigate two new optimization problems -- minimizing a submodular function subject to a submodular lower bound constraint (submodular cover) and maximizing a submodular function subject to a submodular upper bound constraint…

Data Structures and Algorithms · Computer Science 2013-11-12 Rishabh Iyer , Jeff Bilmes

Over the last two decades, submodular function maximization has been the workhorse of many discrete optimization problems in machine learning applications. Traditionally, the study of submodular functions was based on binary function…

Machine Learning · Computer Science 2022-05-18 Loay Mualem , Moran Feldman

Submodular function optimization has numerous applications in machine learning and data analysis, including data summarization which aims to identify a concise and diverse set of data points from a large dataset. It is important to…

Data Structures and Algorithms · Computer Science 2023-04-11 Shaojie Tang , Jing Yuan , Twumasi Mensah-Boateng

Submodular function minimization (SFM) is a fundamental and efficiently solvable problem class in combinatorial optimization with a multitude of applications in various fields. Surprisingly, there is only very little known about constraint…

Data Structures and Algorithms · Computer Science 2018-11-27 Martin Nägele , Benny Sudakov , Rico Zenklusen

Submodular functions are well-studied in combinatorial optimization, game theory and economics. The natural diminishing returns property makes them suitable for many applications. We study an extension of monotone submodular functions,…

Discrete Mathematics · Computer Science 2014-11-18 Allan Borodin , Dai Tri Man Le , Yuli Ye

Speculative multi-threading (SpMT) has been proposed as a perspective method to exploit Chip Multiprocessors (CMP) hardware potential. It is a thread level speculation (TLS) model mainly depending on software and hardware co-design. This…

Hardware Architecture · Computer Science 2015-12-29 Dong Zhaoyu , Gao Bing , Zhao Yinliang , Song Shaolong , Du Yanning

Submodular setfunctions play an important role in potential theory, and a perhaps even more important role in combinatorial optimization. The analytic line of research goes back to the work of Choquet; the combinatorial, to the work of Rado…

Combinatorics · Mathematics 2023-12-29 László Lovász

We study a natural combinatorial single-principal multi-agent contract design problem, in which a principal motivates a team of agents to exert effort toward a given task. At the heart of our model is a reward function, which maps the agent…

Computer Science and Game Theory · Computer Science 2026-03-04 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

Submodular Functions are a special class of set functions, which generalize several information-theoretic quantities such as entropy and mutual information [1]. Submodular functions have subgradients and subdifferentials [2] and admit…

Discrete Mathematics · Computer Science 2020-07-01 Rishabh Iyer , Jeff Bilmes