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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.

168,657 papers · 148 categories

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56112167223 · Jun 202019922001200920172026
48 results for reward vector

A new learning method for prosthetic arms without explicit rewards.

problem Learning a prosthetic arm to interact with users without explicit reward signals.
method Interaction-Grounded Learning, observing multidimensional context and feedback vectors, discovering latent reward signal.
result The algorithm can discover a latent reward signal and ground its policies for successful interaction.

Study on identifying most preferred policy in bandits with vector-valued rewards.

problem Identifying the most preferred policy in bandits with vector-valued rewards.
method Derive a novel lower bound on sample complexity, design the Preference-based Track and Stop (PreTS) algorithm, and derive a new concentration inequality.
result The sample complexity of PreTS is asymptotically tight.

Model user preferences for conversational LLMs using weak rewards.

problem Lack of persistent user models in conversational LLMs leading to repeated user restatements.
method Vector-Adapted Retrieval Scoring (VARS) framework that updates user vectors online from weak scalar rewards.
result Full VARS agent achieves strongest overall performance, matches strong Reflection baseline in task success, and reduces user effort.

We consider reinforcement learning (RL) in Markov Decision Processes in which an agent repeatedly interacts with an environment that is modeled by a controlled Markov process. At each time step tt, it earns a reward, and also incurs a cost-vector consisting of MM costs. We design model-based RL algorithms that maximi…

2020-02-27abs ↗pdf ↗

Method predicts future rewards from past actions in a linear Gaussian system.

problem Maximizing cumulative reward in a stochastic multi-armed bandit with linear Gaussian dynamics.
method Proposes a method using a modified Kalman filter to predict future rewards based on past rewards.
result Reward from any action can be used to predict another action's future reward.

Adaptive policies solve a linear program to maximize rewards while minimizing costs in sales with discounts.

problem Maximizing rewards in sales with discounts while considering costs.
method Solves a linear program based on upper-confidence estimates of conversion probabilities.
result Achieves a regret bound of the typical order (OPT/BB) T\sqrt{T}, where B is the total budget allowed.

In this paper, we study the stochastic version of the one-sided full information bandit problem, where we have KK arms [K]={1,2,,K}[K] = \{1, 2, \ldots, K\}, and playing arm ii would gain reward from an unknown distribution for arm ii while obtaining reward feedback for all arms jij \ge i. One-sided full information bandit ca…

2019-06-20abs ↗pdf ↗

Develops neural network framework for risk-reward optimization problems.

problem Multi-period risk-reward optimization with constrained policies.
method Neural network framework with two coupled feedforward networks, parametrizing two-step policies.
result Empirical optimum converges to true optimal value as network capacity and training size increase.

DPA aligns LLMs with multi-objective rewards for diverse user preferences.

problem Fine-grained control over LLMs for diverse user needs.
method Integrates multi-objective reward modeling and directional preference control.
result DPA offers better performance trade-offs and intuitive user control over LLM generation.

Paper improves sample complexity for reward-free RL in low-rank MDPs.

problem Reward-free RL in low-rank MDPs with unknown representation and weights.
method Proposes a novel model-based algorithm RAFFLE with improved sample complexity.
result RAFFLE achieves εε-optimal policy and accurate system identification with significantly fewer samples.

New approach to multi-armed bandit problem aims to maximize highest total reward.

problem Traditional multi-armed bandit problem objective of maximizing total reward is not suitable in certain applications.
method Adaptive explore-then-commit policy with confidence bounds and adaptive stopping criterion.
result Achieves asymptotic and worst-case regret bounds for the new objective.

Study noisy rewards in online decision-making with unknown distributions.

problem Learning optimal decisions in online settings with noisy and unknown reward distributions.
method Proposes algorithms integrating learning and decision-making via LCB thresholding.
result Achieves competitive ratios of 1 - 1/e and 1/2 in various settings.

The paper tackles combinatorial pure exploration with various feedback structures and proposes efficient algorithms.

problem Identifying the optimal action in a combinatorial space with limited feedback and nonlinear rewards.
method Designs polynomial-time adaptive algorithms for CPE-BL and CPE-PL, providing sample complexity analyses.
result The proposed algorithms achieve sample complexity close to lower bounds and outperform existing methods.

New algorithms for efficient learning with long-term rewards in contextual bandits.

problem Efficient learning with long-term rewards in contextual bandits.
method Proposes new algorithms leveraging sparsity to discover dependence patterns and arm parameters.
result Regret upper bounds for data-poor and data-rich regimes, showing improved sample complexity.

Optimal algorithm for maximizing rewards in contextual bandits with resource constraints.

problem Maximizing rewards in contextual bandits with resource constraints.
method Proposed a universal and optimal algorithmic framework for CBwK by reducing it to online regression.
result Established the optimality of the proposed algorithm for various function classes.

In a linear stochastic bandit model, each arm is a vector in an Euclidean space and the observed return at each time step is an unknown linear function of the chosen arm at that time step. In this paper, we investigate the problem of learning the best arm in a linear stochastic bandit model, where each arm's expected r…

2019-06-26abs ↗pdf ↗

Paper introduces G-LowTESTR for efficient tensor bandits.

problem Efficient decision-making in multi-dimensional data with non-linear reward functions.
method Generalized low-rank tensor contextual bandits model and G-LowTESTR algorithm.
result G-LowTESTR achieves superior regret bound compared to vectorization and matricization methods.

This paper explores the complexity of learning representations in contextual linear bandits.

problem Understanding the complexity of representation learning in contextual linear bandits.
method Systematic approach to representation learning in contextual linear bandits, focusing on instance-dependent perspective.
result Representation learning is fundamentally more complex than linear bandits, with some cases being arbitrarily harder.

Motivated by drug design, we consider the best-arm identification problem in generalized linear bandits. More specifically, we assume each arm has a vector of covariates, there is an unknown vector of parameters that is common across the arms, and a generalized linear model captures the dependence of rewards on the cov…

2019-05-20abs ↗pdf ↗

We consider the linear contextual bandit problem with resource consumption, in addition to reward generation. In each round, the outcome of pulling an arm is a reward as well as a vector of resource consumptions. The expected values of these outcomes depend linearly on the context of that arm. The budget/capacity const…

2015-07-24abs ↗pdf ↗

A fair policy for hiring candidates from different groups is proposed in a linear contextual bandit problem.

problem Selecting candidates from different sensitive groups in a fair manner.
method A greedy policy that constructs a ridge regression estimate and computes relative rank using empirical cumulative distribution function.
result The greedy policy achieves fair pseudo-regret of order dT\sqrt{dT} after TT rounds, satisfying demographic parity.

Proposes EE-Net for neural exploration in contextual bandits.

problem Exploitation-Exploration tradeoff in contextual bandits.
method Uses two neural networks: Exploitation and Exploration, to learn reward function and adaptively explore.
result Achieves O(TlogT)\mathcal{O}(\sqrt{T\log T}) regret and outperforms existing methods.

New method for identifying best designs in vector optimization with uncertain feedback.

problem Optimizing vector-valued outcomes with uncertain preferences.
method Stochastic bandit feedback, polyhedral ordering cone, (ε,δε,δ)-PAC Pareto set identification.
result Sample complexity characterized and matched by the naïve elimination algorithm.

The problem of multi-armed bandits (MAB) asks to make sequential decisions while balancing between exploitation and exploration, and have been successfully applied to a wide range of practical scenarios. Various algorithms have been designed to achieve a high reward in a long term. However, its short-term performance m…

2019-11-26abs ↗pdf ↗

Algorithm maximizes user rewards under per-item budget constraints.

problem Maximizing cumulative rewards in collaborative bandits with budget constraints.
method Collaborative algorithm B-LATTICE that clusters users and collaborates across groups.
result Achieves sub-linear regret bounds matching minimax bounds.

In this paper, we study the multi-objective bandits (MOB) problem, where a learner repeatedly selects one arm to play and then receives a reward vector consisting of multiple objectives. MOB has found many real-world applications as varied as online recommendation and network routing. On the other hand, these applicati…

2019-05-30abs ↗pdf ↗

Algorithm identifies Pareto front using multiple context directions and reuses exploration samples.

problem Identifying a set of arms with undominated mean reward vectors in linear bandits.
method Proposes a new estimator that updates estimates along multiple context directions and reuses exploration samples.
result Optimal sample complexity and logarithmic regret compared to optimal algorithms.

Improved sample complexity for contextual combinatorial semi-bandits with sparse rewards.

problem Optimizing decisions in contexts with many possible actions and sparse rewards.
method Developed an algorithm for (ε,δ)(ε,δ)-PAC variant of contextual combinatorial semi-bandits with improved sample complexity.
result Achieved an εε-optimal policy with a sample complexity of ildeO((poly(K/m)+sm/ε2)log(Π/δ)) ilde{O}((poly(K/m)+sm/ε^2) \log(|Π|/δ)).

Paper tackles non-monotonic resource utilization in sequential decision-making.

problem Sequential decision-making under uncertainty with resource constraints.
method Introduces a new MDP policy with constant regret against LP relaxation.
result Develops a learning algorithm with logarithmic regret for unknown outcome distributions.

New algorithm resists corruption in linear contextual bandits.

problem Adversarial corruption in linear contextual bandits.
method Variance-aware algorithm with multi-level partition and adaptive confidence sets.
result Regret bound of ildeO(C2dt=1Tσt2+C2RdT) ilde{O}(C^2d\sqrt{\sum_{t = 1}^T σ_t^2} + C^2R\sqrt{dT}).

We study offline data poisoning attacks in contextual bandits, a class of reinforcement learning problems with important applications in online recommendation and adaptive medical treatment, among others. We provide a general attack framework based on convex optimization and show that by slightly manipulating rewards i…

2018-08-17abs ↗pdf ↗