Search Results for author: Roberto Colomboni

Found 11 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

Adaptive maximization of social welfare

no code implementations14 Oct 2023 Nicolo Cesa-Bianchi, Roberto Colomboni, Maximilian Kasy

This implies that (i) welfare maximization is harder than the multi-armed bandit problem (with a rate of $T^{1/2}$ for finite policy sets), and (ii) our algorithm achieves the optimal rate.

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.

An Improved Uniform Convergence Bound with Fat-Shattering Dimension

no code implementations13 Jul 2023 Roberto Colomboni, Emmanuel Esposito, Andrea Paudice

The fat-shattering dimension characterizes the uniform convergence property of real-valued functions.

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.

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.

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

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