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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.

168,742 papers · 148 categories

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591418 · Jun 202019922001200920172026
48 results for multi-step TD

Paper proposes an active multi-step TD algorithm for reinforcement learning.

problem Challenging decision making and control tasks in reinforcement learning.
method Active stepsize learning and adaptive multi-step TD algorithm with context-aware mechanism.
result Competitive results compared to other reinforcement learning baselines on discrete and continuous space tasks.

Study non-parametric value function estimation from a single path.

problem Estimating value function from a single trajectory in Markov reward processes.
method Kernel-based multi-step temporal difference (TD) estimates, including KK-step look-ahead TD and TD(λ)(λ).
result Non-asymptotic guarantees for TD estimates, capturing interactions between mixing time and model mis-specification.

New algorithms improve reinforcement learning stability and performance.

problem Stability issues in TD learning algorithms with function approximation and off-policy sampling.
method Developed and adapted emphatic temporal difference (ETD(λλ)) algorithms for deep reinforcement learning.
result Demonstrated improved performance in Atari games and small problems.

The paper analyzes off-policy TD-learning using generalized Bellman operators and provides finite-sample bounds.

problem High variance in off-policy TD-learning due to importance sampling.
method Derives finite-sample bounds for off-policy TD-like algorithms using generalized Bellman operators.
result First-known finite-sample guarantees for several off-policy TD algorithms.

Decentralized TD learning converges linearly with linear function approximation.

problem Policy evaluation in fully decentralized multi-agent reinforcement learning.
method Temporal-difference learning with linear function approximation, analyzing i.i.d. and Markovian samples.
result Local estimates converge linearly to the optimum under both i.i.d. and Markovian samples.

We propose and analyze an alternate approach to off-policy multi-step temporal difference learning, in which off-policy returns are corrected with the current Q-function in terms of rewards, rather than with the target policy in terms of transition probabilities. We prove that such approximate corrections are sufficien…

2016-02-16abs ↗pdf ↗

Modern deep reinforcement learning methods have departed from the incremental learning required for eligibility traces, rendering the implementation of the λλ-return difficult in this context. In particular, off-policy methods that utilize experience replay remain problematic because their random sampling of minibatch…

2018-10-23abs ↗pdf ↗

The true online TD(λ) algorithm has recently been proposed (van Seijen and Sutton, 2014) as a universal replacement for the popular TD(λ) algorithm, in temporal-difference learning and reinforcement learning. True online TD(λ) has better theoretical properties than conventional TD(λ), and the expectation is that it als…

2015-07-01abs ↗pdf ↗

The use of target networks has been a popular and key component of recent deep Q-learning algorithms for reinforcement learning, yet little is known from the theory side. In this work, we introduce a new family of target-based temporal difference (TD) learning algorithms and provide theoretical analysis on their conver…

2019-04-24abs ↗pdf ↗

Uniform TD(0) bound derived for function approximation with Markov noise.

problem Uniform concentration bound for TD(0) with function approximation.
method Contractive stochastic approximation, martingale and Markov noises, Poisson equation, relaxed concentration inequalities.
result Uniform all-time concentration bound for TD(0) with linear function approximation.

New TD algorithms stabilize RL tasks by reformulating updates into fixed point equations.

problem TD learning's sensitivity to step size specification.
method Implicit TD algorithms reformulate TD updates into fixed point equations.
result Implicit TD algorithms are more stable and less sensitive to step size.

Improved TD(0) algorithm for reinforcement learning with linear approximations.

problem Sensitivity of TD(0) to stepsizes and slow convergence.
method AdaTD(0) - Adaptive projected variant of TD(0) with linear function approximation.
result AdaTD(0) converges faster and is less sensitive to stepsizes.

In reinforcement learning, the TD(λλ) algorithm is a fundamental policy evaluation method with an efficient online implementation that is suitable for large-scale problems. One practical drawback of TD(λλ) is its sensitivity to the choice of the step-size. It is an empirically well-known fact that a large step-size l…

2014-12-21abs ↗pdf ↗

Improved TD learning reduces variance and bias errors.

problem Inefficient optimization variance in TD learning.
method Proposed a mathematically solid analysis of VRTD, showing linear convergence rate and reduced variance and bias errors.
result VRTD converges to a fixed-point solution with reduced variance and bias errors compared to vanilla TD.

Improved TD learning with tail averaging and regularization achieves optimal convergence rates.

problem Convergence analysis of TD learning with linear function approximation.
method Tail-averaging and regularization applied to TD learning algorithm.
result Achieves optimal O(1/t)O(1/t) convergence rate in expectation and with high probability.

The family of temporal difference (TD) methods span a spectrum from computationally frugal linear methods like TD(λ) to data efficient least squares methods. Least square methods make the best use of available data directly computing the TD solution and thus do not require tuning a typically highly sensitive learning r…

2016-11-28abs ↗pdf ↗

Study on distributional TD learning with linear approximations for better return estimation.

problem Estimating the return distribution of a policy in reinforcement learning.
method Finite-sample analysis of distributional TD learning with linear function approximation, using the linear-categorical Bellman equation and exponential stability arguments for products of random matrices.
result Sample complexity of linear distributional TD learning matches that of classic linear TD learning, indicating similar difficulty in estimating return distribution versus its expectation.

While there are convergence guarantees for temporal difference (TD) learning when using linear function approximators, the situation for nonlinear models is far less understood, and divergent examples are known. Here we take a first step towards extending theoretical convergence guarantees to TD learning with nonlinear…

2019-05-29abs ↗pdf ↗

Unified framework for finite-sample RL algorithms using Lyapunov theory.

problem Finite-sample convergence guarantees of asynchronous RL algorithms.
method Reformulate RL algorithms as Markovian SA, develop Lyapunov analysis.
result Mean-square error bounds and convergence for various RL algorithms.

The problem of on-line off-policy evaluation (OPE) has been actively studied in the last decade due to its importance both as a stand-alone problem and as a module in a policy improvement scheme. However, most Temporal Difference (TD) based solutions ignore the discrepancy between the stationary distribution of the beh…

2017-02-23abs ↗pdf ↗

TD learning reduces interference, leading to better generalization.

problem Understanding and reducing interference in TD learning for better generalization.
method Analyzing the inner product of gradients as interference, comparing TD and supervised learning, and examining the dynamics of interference and bootstrapping.
result TD learning leads to low-interference, under-generalizing parameters, while supervised learning does the opposite.

The paper calculates prices for multi-step barrier options under the Black-Scholes model.

problem Calculating prices for multi-step barrier options with varying barriers and time steps.
method Derives a general, explicit expression for option prices using the Black-Scholes model and a multi-step reflection principle.
result Derives a multi-step reflection principle that generalizes the reflection principle of Brownian motion.

Efficiently optimizes expensive functions with multi-step lookahead using one-shot optimization.

problem Optimizing expensive functions with long-term impacts using myopic approaches.
method Formulated as nested optimization problems within a multi-step scenario tree, optimized in one-shot fashion.
result Multi-step expected improvement is computationally tractable and outperforms existing methods.

Paper shows TD learning without projection converges robustly.

problem Investigate convergence of TD learning with linear approx.
method Simple unprojected TD(0) with novel self-bounding property.
result TD(0) converges with rate O~(1/T)\widetilde{\mathcal{O}}(1/\sqrt{T}).

Paper improves TD(0) convergence rate with LFA, i.i.d. samples, and averaging.

problem Improving convergence rate of TD(0) with linear function approximation.
method Polyak-Juditsky averaging, i.i.d. samples, strong mixing assumption.
result Established a new convergence rate for Mean-Square Error (MSE) of approximated function.

Paper presents a copula-based method to efficiently generate correlated sample paths from multi-step time series models.

problem Generating realistic correlation structures in multi-step forecast sample paths is expensive and time-consuming.
method Copula-based approach to generate correlated sample paths in one forward pass.
result Improved sample path quality and significant speedup over autoregressive sampling.

QAM uses adjoint matching to optimize continuous-action RL policies efficiently.

problem Efficient optimization of expressive diffusion or flow-matching policies with respect to a Q-function.
method QAM leverages adjoint matching to bypass the numerical instability of backpropagation through multi-step denoising processes.
result QAM consistently outperforms prior approaches on hard, sparse reward tasks in offline and offline-to-online RL.

Paper analyzes TD(λλ) convergence rates for arbitrary features.

problem Convergence rates for linear TD(λλ) under arbitrary features.
method Developed a novel stochastic approximation result for arbitrary features.
result Established L2L^2 convergence rates for linear TD(λλ) without linearly independent features assumption.