We study target mass effects in the polarized virtual photon structure functions g 1 (x, Q , P ), g 2 (x, Q , P ) in the kinematic region Λ P 2 Q, where −Q2(−P ) is the mass squared of the probe (target) photon. We obtain the expressions for g 1 (x, Q , P ) and g 2 (x, Q , P ) in closed form by inverting the Nachtmann moments for the twist-2 and twist-3 operators. Numerical analysis shows that ...

Recent works reveal that re-calibrating intermediate activation of adversarial examples can improve the robustness CNN models. The state arts exploit this feature at channel level to help models defend attacks, where each is uniformly scaled by a factor. However, we conduct more fine-grained analysis on and observe only change portion elements within an activation. This observation motivates us...

Since at least half of the d edges incident to a vertex u of a simple d-polytope P either all point “up” or all point “down,” v must be the unique “bottom” or “top” vertex of a face of P of dimension at least d/2. Thus the number of P’s vertices is at most twice the number of such high-dimensional faces, which is at most Ed,2 $ iG &Ynu) = O(nld/‘l), if P has n facets. This, in a nutshell, provi...

The sentiment analysis in this task aims to indicate the sentiment intensity of the four emotions (e.g. anger, fear, joy, and sadness) expressed in tweets. Compared to the polarity classification, such intensity prediction can provide more finegrained sentiment analysis. In this paper, we present a system that uses a convolutional neural network with long short-term memory (CNN-LSTM) model to c...

We investigate spin-dependent parton distributions in the polarized virtual photon target in perturbative QCD up to the next-to-leading order (NLO). In the case Λ ≪ P 2 ≪ Q, where −Q (−P ) is the mass squared of the probe (target) photon, parton distributions can be predicted completely up to NLO, but they are factorization-schemedependent. We analyze parton distributions in six different facto...

We investigate the twist-3 effects in the polarized virtual photon structure. The structure functions g 1 and g γ 2 of polarized photon could be experimentally studied in the future polarized ep or ee colliders. The leading contributions to g 1 are the twist-2 effects, while another structure function g 2 , which only exists for the virtual photon target, receives not only the twist-2 but also ...

We investigate the twist-3 effects in the polarized virtual photon structure. The structure functions g 1 and g γ 2 of polarized photon could be experimentally studied in the future polarized ep or ee colliders. The leading contributions to g 1 are the twist-2 effects, while another structure function g 2 , which only exists for the virtual photon target, receives not only the twist-2 but also ...