Finite chemical potential equation of state for QCD from an alternative expansion scheme [PDF]
The Taylor expansion approach to the equation of state of QCD at finite chemical potential struggles to reach large chemical potential μB. This is primarily due to the intrinsic diffculty in precisely determining higher order Taylor coefficients, as well
Parotto Paolo +8 more
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Finitary Simulation of Infinitary $\beta$-Reduction via Taylor Expansion, and Applications [PDF]
Originating in Girard's Linear logic, Ehrhard and Regnier's Taylor expansion of $\lambda$-terms has been broadly used as a tool to approximate the terms of several variants of the $\lambda$-calculus. Many results arise from a Commutation theorem relating
Rémy Cerda, Lionel Vaux Auclair
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On the Taylor Expansion of Value Functions [PDF]
We introduce a framework for approximate dynamic programming that we apply to discrete time chains on $\mathbb{Z}_+^d$ with countable action sets. Our approach is grounded in the approximation of the (controlled) chain's generator by that of another Markov process. In simple terms, our approach stipulates applying a second-order Taylor expansion to the
Anton Braverman +2 more
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Hybrid solution method for ultra-wideband positioning in coal mines
Ultra-wideband positioning is based on the marked point distance measured by the base station and a set of non-linear positioning equations to obtain the precise device position by applying Taylor series expansion algorithm, Chan algorithm or least ...
CHEN Meirong +3 more
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Taylor Expansion of Discount Factors
In practical reinforcement learning (RL), the discount factor used for estimating value functions often differs from that used for defining the evaluation objective. In this work, we study the effect that this discrepancy of discount factors has during learning, and discover a family of objectives that interpolate value functions of two distinct ...
Yunhao Tang +3 more
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Taylor‐based adaptive sliding mode control method for robot manipulators
This paper develops a novel Taylor‐based adaptive sliding mode control method (ASMC) for robot manipulators. In the first new scheme, sliding mode control (SMC) is effectively enhanced using the Taylor expansion for achieving a less conservative sign ...
Alireza Fateh +2 more
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Revisiting Call-by-value B\"ohm trees in light of their Taylor expansion [PDF]
The call-by-value lambda calculus can be endowed with permutation rules, arising from linear logic proof-nets, having the advantage of unblocking some redexes that otherwise get stuck during the reduction.
Emma Kerinec +2 more
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Heat transfer of power-law fluids with variable thermal conductivities on a horizontal rough surface
Power-law fluids have recently received increasing attention because of their applications in different industrial fields. In previous works, the energy and momentum equations for power-law fluids were considered the same as those for Newtonian fluids ...
Fangfang LIU +3 more
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Extrapolation of Duffing Equation Solution by Using RBF Network
The article considers the problem of approximation of the solution of the Cauchy problem for an ordinary differential equation of the second order. The approximation scheme is based on the Taylor expansion of the solution with a remainder in the Lagrange
Tatyana Lazovskaya +3 more
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Normalizing the Taylor expansion of non-deterministic {\lambda}-terms, via parallel reduction of resource vectors [PDF]
It has been known since Ehrhard and Regnier's seminal work on the Taylor expansion of $\lambda$-terms that this operation commutes with normalization: the expansion of a $\lambda$-term is always normalizable and its normal form is the expansion of the B\"
Lionel Vaux
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