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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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48 results for best responses

Study best-response learning dynamics in zero-sum polymatrix games under full and minimal information settings.

problem Learning dynamics in zero-sum polymatrix games under different information settings.
method Two-timescale learning dynamics combining smoothed best-response updates and TD-learning for estimating local payoff functions.
result Polynomial-time finite-sample guarantees for convergence to an ε-Nash equilibrium in the minimal information case.

Two methods for model adaptation compared; fine-tuning outperforms Best-of-N in realizable settings.

problem Comparing methods for adapting large language models to new tasks.
method Supervised fine-tuning vs. Best-of-N approach.
result Supervised fine-tuning outperforms Best-of-N in realizable settings.

New method for sparse kernel selection improves prediction accuracy.

problem Sparse Multiple Kernel Learning for binary classification.
method Alternating best response algorithm with semidefinite relaxations.
result Method outperforms state-of-the-art MKL approaches in prediction accuracy.

Improved hypernetwork for efficient neural network hyperparameter tuning.

problem Efficiently optimizing hyperparameters in neural networks.
method Proposed ΔΔ-STN architecture focusing on accurate best-response Jacobian approximation.
result Significantly improved hyperparameter tuning accuracy and stability.

Paper introduces metrics for evaluating multi-agent policies using best response dynamics.

problem Evaluation and ranking of multi-agent policies in reinforcement learning.
method Adopting strict best response dynamics (SBRD) to model selfish behaviors, proposing perturbed SBRD for dynamic and non-stationary settings.
result Proposed perturbed SBRD can observe policies with maximum metrics and differ from optimal by any given tolerance.

New algorithms achieve decision calibration without sample complexity dependent on feature dimension.

problem Achieving decision calibration for nonlinear loss functions with polynomial sample complexity.
method Developed smooth relaxation of decision calibration, enabling dimension-free algorithms.
result Efficient algorithms post-process predictors to satisfy decision calibration without worsening accuracy.

Best-of-N sampling reveals reward targets from preference data, influencing N and base distribution choices.

problem Understanding reward extraction from Best-of-N preference data and optimal N and base distribution choices.
method Specialized analysis of preference data via induced conditional distribution, deriving reward targets and design principles.
result Reward targets are explicit functions of N and base distribution, and bounded-class minimizers approach these targets as N grows.

Paper studies zero-sum games with noisy observations and identifies equilibrium conditions.

problem Zero-sum games with noisy observations of the leader's actions.
method Analyzes the equilibrium of games with noisy action observability, identifies necessary conditions for uniqueness, and investigates the cardinality of best responses.
result The noisy observations significantly impact the cardinality of the follower's set of best responses, and under certain conditions, this set becomes a singleton almost surely.

Best-of-Majority improves inference performance in Pass@kk settings.

problem Inference in difficult tasks often underperforms with single-shot selection methods.
method Combining majority voting and Best-of-N, Best-of-Majority restricts candidates to high-frequency responses.
result Best-of-Majority achieves minimax optimal regret and outperforms other methods.

New algorithm improves inference-time alignment without reward hacking.

problem Improving quality of responses from language models with limited compute.
method Inference-time alignment, focusing on extttInferenceTimePessimism exttt{InferenceTimePessimism} algorithm.
result Optimal performance and scaling-monotonicity of extttInferenceTimePessimism exttt{InferenceTimePessimism}.

Study of portfolio management under relative performance concerns using mean field games.

problem Portfolio management problems under relative performance concerns.
method Forward utilities of CARA type, mean field games, best response and equilibrium strategies.
result Solve forward-utility finite player game and mean-field game under asset specialization.

NeuPL learns diverse policies in strategy games efficiently.

problem Iterative training of policies in strategy games leads to under-trained good-responses and wasteful repetition.
method NeuPL uses a single conditional model to represent a population of policies, offering convergence guarantees and transfer learning.
result NeuPL achieves better performance and efficiency across various domains, enabling access to novel strategies.

New algorithms achieve logarithmic regret in KL-regularized Markov games.

problem Improving sample efficiency in game-theoretic settings with KL regularization.
method Developed OMG and SOMG algorithms for matrix and Markov games, using best response sampling and superoptimistic bonuses.
result Logarithmic regret in TT that scales inversely with KL regularization strength ββ.

Flexible models predict US Census survey response rates.

problem Predicting survey response rates in the US Census Bureau.
method Nonparametric additive models with structured interactions using ℓ0-based penalization.
result Models lead to predictions comparable to black-box methods but are interpretable.

New method optimizes language model performance for test-time strategies.

problem Mismatch between training objectives and test-time deployment of large language models.
method Tail-Extrapolated estimators to approximate best-of-N performance from limited training rollouts.
result Improved performance of best-of-N deployment across various models and datasets.

Algorithm solves online binary classification and infinite games using ERM oracle.

problem Online learning and solving infinite games with computationally inefficient oracles.
method Proposes an algorithm relying solely on ERM oracle calls for online binary classification and nonparametric games.
result Achieves finite and sublinearly growing regret in various settings.

When simulating a complex stochastic system, the behavior of output response depends on input parameters estimated from finite real-world data, and the finiteness of data brings input uncertainty into the system. The quantification of the impact of input uncertainty on output response has been extensively studied. Most…

2015-07-21abs ↗pdf ↗

Digital personas improve survey results for stable attributes but fail for subjective responses.

problem When can digital personas reliably approximate human survey findings?
method Using LISS panel, constructed personas from background variables and survey histories, tested against held-out post-cutoff answers.
result Digital personas improve alignment with human response distributions for stable attributes but fail for subjective responses.

New algorithm for solving minimax problems over distributions converges to Nash equilibrium.

problem Solving minimax problems over probability distributions.
method Symmetric Mean-field Langevin Dynamics (MFL-AG and MFL-ABR) with weighted averaging and best response dynamics.
result Converges to mixed Nash equilibrium with average-iterate and last-iterate convergence.

Deep Claim predicts payer responses from claims data using deep learning.

problem Predicting payer responses from claims data to improve healthcare performance.
method Learning complex dependencies in claim inputs to create a compact representation, then using deep learning to predict responses.
result Deep Claim improves claim denial prediction by 22.21%.

A fast algorithm selects best subsets in high-dimensional models.

problem Identifying sparse models in high-dimensional generalized linear models.
method Splicing technique for fast and consistent best subset selection.
result Our algorithm achieves high certainty in selecting best subsets with polynomial computational complexity.

We show that the empirical risk minimization (ERM) problem for neural networks has no solution in general. Given a training set s1,,snRps_1, \dots, s_n \in \mathbb{R}^p with corresponding responses t1,,tnRqt_1,\dots,t_n \in \mathbb{R}^q, fitting a kk-layer neural network νθ:RpRqν_θ: \mathbb{R}^p \to \mathbb{R}^q involves estimation of…

2019-07-02abs ↗pdf ↗

Heterogeneous SVO leads to diverse policies in sequential social dilemmas.

problem Understanding how diverse social value orientations affect behavior in sequential social dilemmas.
method Extending prior reinforcement learning studies, we instantiated heterogeneous SVO in a sequential social dilemma setting and measured task-specific diversity metrics.
result Heterogeneous SVO leads to meaningfully diverse policies across various incentive structures.

The paper presents a machine learning approach to multidimensional item response theory.

problem Modeling and predicting student performance from assessment data.
method Inspired by collaborative filtering, the paper defines a general class of models using penalized joint maximum likelihood (JML) for estimation and cross-validation for model selection.
result The high-dimensional model fit to large and sparse data does not lend itself well to traditional factor interpretation.

Optimal ability estimation in adaptive testing with binary responses.

problem Estimating a continuous ability parameter from sequential binary responses.
method Adaptive selection of questions to maximize Fisher information, updating estimate using method-of-moments, and deciding accuracy with a test statistic.
result Fisher-tracking strategy achieves optimal performance in fixed-confidence and fixed-budget regimes.

New RL algorithms find SNE in Markov games with myopic followers.

problem Finding SNE in Markov games with myopic followers.
method Optimistic and pessimistic variants of least-squares value iteration, incorporating function approximation.
result First provably efficient RL algorithms for SNEs in general-sum Markov games with myopic followers.

New method improves robustness in partially observable domains by training against latent distribution shifts.

problem Challenges in robustness under latent distribution shift in partially observable reinforcement learning.
method Formalizes adversarial latent-initial-state POMDP, proves minimax principle, derives best-response inequalities.
result Reduces robustness gaps from 10.3 to 3.1 shots with targeted exposure to shifted latent distributions.

Proposes DeepSDRF for continuous treatment recommendation from clinical survival data.

problem Continuous treatment recommendation in medical settings with survival data.
method Deep Survival Dose Response Function (DeepSDRF) for learning conditional average dose response (CADR) function.
result Similar performance of recommender algorithms based on random search and reinforcement learning.

Generative Adversarial Networks (GAN) have become one of the most successful frameworks for unsupervised generative modeling. As GANs are difficult to train much research has focused on this. However, very little of this research has directly exploited game-theoretic techniques. We introduce Generative Adversarial Netw…

2017-12-02abs ↗pdf ↗

Neural dialogue models, despite their successes, still suffer from lack of relevance, diversity, and in many cases coherence in their generated responses. These issues can attributed to reasons including (1) short-range model architectures that capture limited temporal dependencies, (2) limitations of the maximum likel…

2019-07-26abs ↗pdf ↗

Investors' strategic trading affects asset prices, modeled as a game.

problem Investors' trading rates influence asset prices in dynamic markets.
method Model as a non-zero sum singular stochastic differential game, establishing equivalence between best-response and auxiliary control problems.
result Unique Nash equilibrium is deterministic with a closed-form solution.

Meta-Router optimizes LLM selection using gold-standard and preference-based data.

problem Training a high-quality LLM router with combined data sources is challenging due to bias and scarcity.
method Developed an integrative causal router training framework to correct bias and improve routing accuracy.
result Our approach delivers more accurate routing and improves the trade-off between cost and quality.

Proposes a group-splicing algorithm for efficient BSGS in high-dimensional settings.

problem Efficiently selecting a small part of non-overlapping groups for best interpretability in high-dimensional settings.
method Iteratively detects relevant groups and excludes irrelevant ones using a novel group information criterion.
result Certifiable polynomial-time algorithm for identifying the optimal subset of groups with high probability.

The paper analyzes performance criteria for competing fund managers in Ito-diffusion markets.

problem Analyzing performance of competing fund managers in Ito-diffusion markets.
method Developed forward relative performance criteria and forward Nash equilibrium for passive and competitive cases.
result Extended performance criteria for investment problems in Ito-diffusion markets.

Consider a regression problem where there is no labeled data and the only observations are the predictions fi(xj)f_i(x_j) of mm experts fif_{i} over many samples xjx_j. With no knowledge on the accuracy of the experts, is it still possible to accurately estimate the unknown responses yjy_{j}? Can one still detect the leas…

2017-03-08abs ↗pdf ↗