Search Results for author: Tommaso Cesari

Found 16 papers, 0 papers with code

An Online Learning Theory of Brokerage

no code implementations18 Oct 2023 Nataša Bolić, Tommaso Cesari, Roberto Colomboni

If the distribution admits a density bounded by some constant $M$, then, for any time horizon $T$: $\bullet$ If the agents' valuations are revealed after each interaction, we provide an algorithm achieving regret $M \log T$ and show this rate is optimal, up to constant factors.

Learning Theory

The Role of Transparency in Repeated First-Price Auctions with Unknown Valuations

no code implementations14 Jul 2023 Nicolò Cesa-Bianchi, Tommaso Cesari, Roberto Colomboni, Federico Fusco, Stefano Leonardi

We study the problem of regret minimization for a single bidder in a sequence of first-price auctions where the bidder discovers the item's value only if the auction is won.

Repeated Bilateral Trade Against a Smoothed Adversary

no code implementations21 Feb 2023 Nicolò Cesa-Bianchi, Tommaso Cesari, Roberto Colomboni, Federico Fusco, Stefano Leonardi

We provide a complete characterization of the regret regimes for fixed-price mechanisms under different feedback models in the two cases where the learner can post either the same or different prices to buyers and sellers.

Regret Analysis of Dyadic Search

no code implementations2 Sep 2022 François Bachoc, Tommaso Cesari, Roberto Colomboni, Andrea Paudice

We analyze the cumulative regret of the Dyadic Search algorithm of Bachoc et al. [2022].

A Near-Optimal Algorithm for Univariate Zeroth-Order Budget Convex Optimization

no code implementations13 Aug 2022 François Bachoc, Tommaso Cesari, Roberto Colomboni, Andrea Paudice

This paper studies a natural generalization of the problem of minimizing a univariate convex function $f$ by querying its values sequentially.

Online Learning in Supply-Chain Games

no code implementations8 Jul 2022 Nicolò Cesa-Bianchi, Tommaso Cesari, Takayuki Osogami, Marco Scarsini, Segev Wasserkrug

We study a repeated game between a supplier and a retailer who want to maximize their respective profits without full knowledge of the problem parameters.

An Application of Online Learning to Spacecraft Memory Dump Optimization

no code implementations14 Feb 2022 Tommaso Cesari, Jonathan Pergoli, Michele Maestrini, Pierluigi Di Lizia

In this paper, we present a real-world application of online learning with expert advice to the field of Space Operations, testing our theory on real-life data coming from the Copernicus Sentinel-6 satellite.

Nonstochastic Bandits with Composite Anonymous Feedback

no code implementations6 Dec 2021 Nicolò Cesa-Bianchi, Tommaso Cesari, Roberto Colomboni, Claudio Gentile, Yishay Mansour

We investigate a nonstochastic bandit setting in which the loss of an action is not immediately charged to the player, but rather spread over the subsequent rounds in an adversarial way.

Bilateral Trade: A Regret Minimization Perspective

no code implementations8 Sep 2021 Nicolò Cesa-Bianchi, Tommaso Cesari, Roberto Colomboni, Federico Fusco, Stefano Leonardi

In this paper, we cast the bilateral trade problem in a regret minimization framework over $T$ rounds of seller/buyer interactions, with no prior knowledge on their private valuations.

A Regret Analysis of Bilateral Trade

no code implementations16 Feb 2021 Nicolò Cesa-Bianchi, Tommaso Cesari, Roberto Colomboni, Federico Fusco, Stefano Leonardi

Despite the simplicity of this problem, a classical result by Myerson and Satterthwaite (1983) affirms the impossibility of designing a mechanism which is simultaneously efficient, incentive compatible, individually rational, and budget balanced.

The sample complexity of level set approximation

no code implementations26 Oct 2020 François Bachoc, Tommaso Cesari, Sébastien Gerchinovitz

We study the problem of approximating the level set of an unknown function by sequentially querying its values.

An Efficient Algorithm for Cooperative Semi-Bandits

no code implementations5 Oct 2020 Riccardo Della Vecchia, Tommaso Cesari

Furthermore, we prove that this is only $\sqrt$ k log k-away from the best achievable rate and that Coop-FTPL has a state-of-the-art T 3/2 worst-case computational complexity.

Combinatorial Optimization

A Nearest Neighbor Characterization of Lebesgue Points in Metric Measure Spaces

no code implementations8 Jul 2020 Tommaso Cesari, Roberto Colomboni

The property of almost every point being a Lebesgue point has proven to be crucial for the consistency of several classification algorithms based on nearest neighbors.

Classification General Classification +1

Regret analysis of the Piyavskii-Shubert algorithm for global Lipschitz optimization

no code implementations6 Feb 2020 Clément Bouttier, Tommaso Cesari, Mélanie Ducoffe, Sébastien Gerchinovitz

We consider the problem of maximizing a non-concave Lipschitz multivariate function over a compact domain by sequentially querying its (possibly perturbed) values.

ROI Maximization in Stochastic Online Decision-Making

no code implementations NeurIPS 2021 Nicolò Cesa-Bianchi, Tommaso Cesari, Yishay Mansour, Vianney Perchet

We introduce a novel theoretical framework for Return On Investment (ROI) maximization in repeated decision-making.

Decision Making

Dynamic Pricing with Finitely Many Unknown Valuations

no code implementations9 Jul 2018 Nicolò Cesa-Bianchi, Tommaso Cesari, Vianney Perchet

When $K=2$ in the distribution-dependent case, the hardness of our setting reduces to that of a stochastic $2$-armed bandit: we prove that an upper bound of order $(\log T)/\Delta$ (up to $\log\log$ factors) on the regret can be achieved with no information on the demand curve.

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