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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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244488732976 · Jun 202019922001200920172026
48 results for player performance

Researchers predict NBA player salaries using machine learning, avoiding overfitting.

problem Predicting NBA player salaries based on performance statistics.
method Selected important determinants, used Random Forest machine learning, avoided overfitting.
result Very satisfactory salary predictions identified for important factors.

We study stochastic multi-armed bandits with many players. The players do not know the number of players, cannot communicate with each other and if multiple players select a common arm they collide and none of them receive any reward. We consider the static scenario, where the number of players remains fixed, and the d…

2018-09-17abs ↗pdf ↗

Develops a framework to estimate NBA player salary ROI.

problem Measuring the relative return of player salaries in NBA.
method Five-part framework: GCP measure, SGV calculation, cash flow series, ROI calculation.
result Illustrates framework with 2022-2023 NBA data, showing top and bottom performers.

Study optimal reward schemes for inducing desired player performance in risky contests.

problem Designing optimal rewards to encourage desired performance levels in risky contests.
method Analyzed the optimal reward schemes for inducing average and specific rank performance.
result Optimal reward schemes can have surprising shapes, not just related to inequality.

The study examines Nash equilibria in utility maximization games with multiplicative performance criteria.

problem Existence and uniqueness of Nash equilibria in multiplicative performance criteria games.
method General characterization of Nash equilibria for a large class of utility functions.
result Existence and uniqueness of Nash equilibria for arbitrary initial wealth vectors.

Algorithm optimizes multi-player learning with noisy rewards without direct communication.

problem Cooperative multi-player learning with noisy rewards and no communication.
method Upper and lower confidence bounds algorithm for optimal action selection.
result Achieves logarithmic O(logTΔa)O(\frac{\log T}{Δ_{\bm{a}}}) and O(TlogT)O(\sqrt{T\log T}) regret.

We study the problem of learning classifiers robust to universal adversarial perturbations. While prior work approaches this problem via robust optimization, adversarial training, or input transformation, we instead phrase it as a two-player zero-sum game. In this new formulation, both players simultaneously play the s…

2018-09-20abs ↗pdf ↗

New algorithm tackles multi-player bandit problems with limited access to arms.

problem Limited access to dynamic local subsets of arms in multi-player multi-armed bandit problems.
method Adopted Upper Confidence Bound (UCB) for exploration-exploitation and distributed optimization for collisions.
result Proposes a decentralized algorithm with near-optimal regret guarantee.

Study optimal portfolios for many players in a market model with random coefficients.

problem Optimal portfolio selection for many players under relative performance criteria in a market model with random coefficients.
method Game theory and stochastic optimal control, focusing on CARA and CRRA risk preferences, and extending to continuum of players.
result Existence of forward Nash equilibrium and mean field equilibrium for the n-agent game and corresponding mean field stochastic optimal control problem.

Assessing the impact of the individual actions performed by soccer players during games is a crucial aspect of the player recruitment process. Unfortunately, most traditional metrics fall short in addressing this task as they either focus on rare actions like shots and goals alone or fail to account for the context in …

2018-02-18abs ↗pdf ↗

MpFL models clients as strategic players to reach equilibrium with less communication.

problem Real-world clients act independently with individual objectives, not aligned with a shared global model.
method MpFL uses game-theoretic modeling and PEARL-SGD algorithm for local updates and communication.
result PEARL-SGD reaches an equilibrium with less communication than non-local updates in stochastic setup.

Predicting and improving player retention is crucial to the success of mobile Free-to-Play games. This paper explores the problem of rapid retention prediction in this context. Heuristic modeling approaches are introduced as a way of building simple rules for predicting short-term retention. Compared to common classifi…

2016-07-12abs ↗pdf ↗

Algorithm aggregates rewards from multiple players to learn related tasks in online bandit learning.

problem Learning related but slightly different tasks in an online setting with heterogeneous feedback.
method RobustAgg(ε)(ε) algorithm that aggregates rewards from different players.
result Achieves instance-dependent regret guarantees and nearly matching lower bounds.

Motivated by cognitive radios, stochastic multi-player multi-armed bandits gained a lot of interest recently. In this class of problems, several players simultaneously pull arms and encounter a collision - with 0 reward - if some of them pull the same arm at the same time. While the cooperative case where players maxim…

2020-02-04abs ↗pdf ↗

New algorithm outperforms existing ones in multi-player bandit problems without sensing.

problem Decentralized multi-player multi-armed bandit problem without collision or sensing info.
method Randomized Selfish KL-UCB, inspired by Selfish KL-UCB, with low complexity.
result Randomized Selfish KL-UCB outperforms state-of-the-art algorithms in almost all environments.

Decentralised optimisation tasks are important components of multi-agent systems. These tasks can be interpreted as n-player potential games: therefore game-theoretic learning algorithms can be used to solve decentralised optimisation tasks. Fictitious play is the canonical example of these algorithms. Nevertheless fic…

2013-01-15abs ↗pdf ↗

Understanding player behavior is fundamental in game data science. Video games evolve as players interact with the game, so being able to foresee player experience would help to ensure a successful game development. In particular, game developers need to evaluate beforehand the impact of in-game events. Simulation opti…

2017-10-05abs ↗pdf ↗

Study proposes new OPE estimators for two-player zero-sum games.

problem Evaluating new policies using historical data from a different policy in multi-player zero-sum games.
method Doubly robust and double reinforcement learning estimators to project exploitability.
result Prove exploitability estimation error bounds and regret bounds for policy profiles.

New learning dynamics adapt to corrupted games, improving performance in real-world scenarios.

problem Learning dynamics in games are limited to honest players, ignoring real-world corruption.
method Adaptive learning dynamics that adapt to player deviations from prescribed algorithms.
result Learning dynamics achieve better performance in corrupted games, matching honest regime bounds.

Gradient-based methods for games suffer from discrete update steps that cause drift, affecting performance.

problem Gradient-based methods for two-player games suffer from drift due to discrete update steps.
method Derived modified continuous dynamical systems to closely follow the discrete dynamics of games.
result Identified distinct components of discretization drift that can alter or destabilize game performance.

We consider a two-person trading game in continuous time whereby each player chooses a constant rebalancing rule bb that he must adhere to over [0,t][0,t]. If Vt(b)V_t(b) denotes the final wealth of the rebalancing rule bb, then Player 1 (the `numerator player') picks bb so as to maximize E[Vt(b)/Vt(c)]\mathbb{E}[V_t(b)/V_t(c)], whil…

2019-06-05abs ↗pdf ↗

New algorithm for multi-player bandits without needing lower bounds or scaling inversely.

problem Multi-player bandits without collision sensing information.
method Proposes a novel algorithm that circumvents two problems of existing algorithms.
result Proves a theoretical regret upper bound and shows superior performance in practice.

Wearable devices have the potential to enhance sports performance, yet they are not fulfilling this promise. Our previous studies with 6 professional tennis coaches and 20 players indicate that this could be due the lack of psychological or mental state feedback, which the coaches claim to provide. Towards this end, we…

2018-03-26abs ↗pdf ↗

We propose and study the known-compensation multi-arm bandit (KCMAB) problem, where a system controller offers a set of arms to many short-term players for TT steps. In each step, one short-term player arrives to the system. Upon arrival, the player aims to select an arm with the current best average reward and receiv…

2018-11-05abs ↗pdf ↗

New algorithm for multi-player bandits with collision-dependent rewards.

problem Stochastic multi-player multi-armed bandits with collision-dependent reward distributions.
method Error-Correction Collision Communication (EC3) algorithm.
result EC3 algorithm achieves optimal regret approaching centralized MP-MAB regret.

Study explores optimal strategies in games with multiple players and mean-field interactions.

problem Optimal strategies in games with multiple players and mean-field interactions.
method Exploration of three different notions of optimality, including mean-field control solution, mean-field coarse correlated equilibria, and mean-field Nash equilibria.
result Approximation of cooperative and competitive equilibria in large NN-player games by mean-field control and mean-field equilibria.

We consider a symmetric multi-players zero-sum game with two strategic variables. There are nn players, n3n\geq 3. Each player is denoted by ii. Two strategic variables are tit_i and sis_i, i{1,,n}i\in \{1, \dots, n\}. They are related by invertible functions. Using the minimax theorem by \cite{sion} we will show that Nas…

2018-06-17abs ↗pdf ↗

A multi-player bandit system resists adversarial attacks with near-optimal regret.

problem Adversaries attempt to manipulate rewards in a multi-player multi-armed bandit game.
method Players communicate a single bit to resist attacks, achieving near-optimal regret.
result Achieves near-optimal regret of O(log1+δT+W)O(\log^{1+δ}T + W), where WW is the total time of adversarial attacks.

We consider two-player non-zero-sum stopping games in discrete time. Unlike Dynkin games, in our games the payoff of each player is revealed after both players stop. Moreover, each player can adjust her own stopping strategy according to the other player's action. In the first part of the paper, we consider the game wh…

2015-08-25abs ↗pdf ↗

Study predicts soccer player market values using machine learning and SHAP for interpretability.

problem Predicting accurate market values for professional soccer players.
method Ensemble machine learning models, SHAP for interpretability, Boruta for feature selection.
result GBDT model achieved high predictive accuracy (R-squared 0.901, RMSE 3,221,632.175).

Data-driven modeling increasingly requires to find a Nash equilibrium in multi-player games, e.g. when training GANs. In this paper, we analyse a new extra-gradient method for Nash equilibrium finding, that performs gradient extrapolations and updates on a random subset of players at each iteration. This approach prova…

2019-05-29abs ↗pdf ↗

The emergence of mobile games has caused a paradigm shift in the video-game industry. Game developers now have at their disposal a plethora of information on their players, and thus can take advantage of reliable models that can accurately predict player behavior and scale to huge datasets. Churn prediction, a challeng…

2017-10-06abs ↗pdf ↗

New strategy achieves optimal regret without communication or collisions in multi-player bandit.

problem Cooperative multi-player stochastic multi-armed bandit with shared randomness.
method Combination of combinatorial approach to generalize geometric intuition.
result Achieves near-optimal regret ildeO(T) ilde{O}(\sqrt{T}) for any number of players and arms without collisions.