Variational Hierarchical Dialog Autoencoder for Dialog State Tracking Data Augmentation

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• 𝔻⅁≈⅁ ⅁≊ð⋗⋉≈⅁≈ℶ⋊⋉ ð⋉∖⅁≈ℶ⪸ ⅁⪸∖∼⅁∖ℶ⅁⋖ ⋉≈⪷⋊∖ℸ∼∤

  𝔸⋉≈∖⅁∼ 𝔸⋉≈⋊⋉ℶ⋊≊∦ 𝔸⋗⋊∼ 𝕊≈⋊∖ℸ↷∦ ⅁⋉ ℍ⅁∖∖ℶ∼⋊⋉ 𝔼⪷⅁∖∼∤ ⊭⊬⊮⋪∤

  Cited in the paper.

• 𝔸 ∼∥≊⋉∤≈⋊∤∼∥≊⋉ ⋗⋊⋖ ℧⋊∖ ≊∼∖ ∼ℶ⋗≊⋖⅁≈ℶ⋊⋉ ℶ⋉ ∼∣⋊ℸ⋉ ℶ⅁⋖⋊ð≊ ∼↷∼≈⋗∼∤

  𝕃⅁↷⋖⅁ 𝔼⋖ 𝔸∼∖ℶ∦ 𝕁ℶ⋉ð ℍ∦ ⅁⋉ 𝕂⅁≂∖ 𝕊≊⋖⋗⅁⋉∤ ⊭⊬⊮⋫∤

  Cited in the paper.

• 𝕍⅁∖ℶ⅁≈ℶ⋊⋉⅁⋖ ≂ℶ∖⅁∖≂ℶ⅁⋖ ≊∼∖∤⅁∼ ⋊⋉⪸∖∼⅁≈ℶ⋊⋉ ⋗⋊⋖∤

  𝕁ℶ⋉𝕐⋊⋉ð 𝔹⅁ℸ ⅁⋉ 𝔸⋖ℶ 𝕆≂∤ ⊭⊬⊮↛∤

  Cited in the paper.

• 𝕄ℶ⋉⇍ ⋗≊≈≊⅁⋖ ℶ⋉℧⋊∖⋗⅁≈ℶ⋊⋉ ⋉≊∖⅁⋖ ∼≈ℶ⋗⅁≈ℶ⋊⋉∤

  𝕄⋊≂⅁⋗ 𝕀∼≂⋗⅁⋖ 𝔹⋖ð≂⅁ϝℶ∦ 𝔸∖ℶ∼≈ℶ 𝔹⅁∖⅁≈ℶ⋉∦ 𝕊⅁ℶ ℝ⅁ℷ∼⪷⅁∖∦ 𝕊≂∖ℷℶ⋖ 𝕆ϝ⅁ℶ∖∦ 𝕐⋊∼≂≊⅁ 𝔹⋉ðℶ⋊∦ 𝔸⅁∖⋊⋉ ℂ⋊≊∖⪸ℶ⋖⋖∦ ⅁⋉ ℝ 𝔻⪸⋊⋉ ℍℷ⋖⋗∤ ⊭⊬⊮↚∤

  Cited in the paper.

• 𝔼⋉∖ℶ≂ℶ⋉ð ⪷⋊∖ ⪸≈⋊∖∼ ⪷ℶ≈≂ ∼≊⪷⋊∖ ℶ⋉℧⋊∖⋗⅁≈ℶ⋊⋉∤

  ℙℶ⋊≈∖ 𝔹⋊ℷ⅁⋉⋊⪷∼ℸℶ∦ 𝔼⋊≊⅁∖ 𝔾∖⅁⪸∦ 𝔸∖⋗⅁⋉ 𝕁⋊≊⋖ℶ⋉∦ ⅁⋉ 𝕋⋊⋗⅁∼ 𝕄ℶℸ⋊⋖⋊⪸∤ ⊭⊬⊮⋪∤

  Cited in the paper.

• 𝔾⋉∖⅁≈ℶ⋉ð ∼⋉≈⋉∼ ℧∖⋊⋗ ⅁ ⋊⋉≈ℶ⋉≊⋊≊∼ ∼∣⅁∤

  𝕊⅁⋗≊⋖ ℝ 𝔹⋊⪷⋗⅁⋉∦ 𝕃≊ℸ 𝕍ℶ⋖⋉ℶ∼∦ 𝕆∖ℶ⋊⋖ 𝕍ℶ⋉↷⅁⋖∼∦ 𝔸⋉∖⪷ 𝔻⅁ℶ∦ ℝ⅁℧⅁⋖ 𝕁⋊ϝ℧⋊⪷ℶϝ∦ ⅁⋉ 𝕊⅁⋗↷ 𝔹⋉ðℶ⋊∤ ⊭⊬⊮⋫∤

  Cited in the paper.

• 𝕄≊⋖≈ℶ⪷⋊ϝ∤⅁ ⋖⅁∖ð∤∼⅁⋖ ⋗≊⋖≈ℶ∤⋊⋗⅁ℶ⋉ ⪷ℶϝ⅁∖∤⋊℧∤⋊ϝ ⅁≈⅁∼≈ ℧⋊∖ ≈⅁∼ℸ∤⋊∖ℶ⋉≈ ℶ⅁⋖⋊ð≊ ⋗⋊⋖⋖ℶ⋉ð∤

  ℙ⅁⪷ł 𝔹≊ϝℶ⅁⋉⋊⪷∼ℸℶ∦ 𝕋∼≊⋉ðℍ∼ℶ⋉ 𝕎⋉∦ 𝔹⋊ℍ∼ℶ⅁⋉ð 𝕋∼⋉ð∦ 𝕀⋉̃ℶð⋊ ℂ⅁∼⅁⋉≊⪸⅁∦ 𝕊≈℧⅁⋉ 𝕌⋖≈∼∦ 𝕆∼⋗⅁⋉ ℝ⅁⋗⅁⅁⋉∦ ⅁⋉ 𝕄ℶ⋖ℶ⅁ 𝔾⅁∼ℶ∤ ⊭⊬⊮↚∤

  Cited in the paper.

• 𝕀∼⋊⋖⅁≈ℶ⋉ð ∼⋊≊∖∼ ⋊℧ ℶ∼⋉≈⅁⋉ð⋖⋗⋉≈ ℶ⋉ ⪸⅁∖ℶ⅁≈ℶ⋊⋉⅁⋖ ⅁≊≈⋊⋉⋊∖∼∤

  𝕋ℶ⅁⋉ ℚℶ ℂ≂⋉∦ 𝕏≊≂⋉ 𝕃ℶ∦ ℝ⋊ð∖ 𝔹 𝔾∖⋊∼∼∦ ⅁⋉ 𝔻⅁⪸ℶ 𝕂 𝔻≊⪸⋉⅁≊∤ ⊭⊬⊮↚∤

  Cited in the paper.

• 𝕍⅁∖ℶ⅁≈ℶ⋊⋉⅁⋖ ⋖⋊∼∼↷ ⅁≊≈⋊⋉⋊∖∤

  𝕏ℶ ℂ≂⋉∦ 𝔻ℶ∖ℶℸ ℙ 𝕂ℶ⋉ð⋗⅁∦ 𝕋ℶ⋗ 𝕊⅁⋖ℶ⋗⅁⋉∼∦ 𝕐⅁⋉ 𝔻≊⅁⋉∦ ℙ∖⅁℧≊⋖⋖⅁ 𝔻≂⅁∖ℶ⪷⅁⋖∦ 𝕁⋊≂⋉ 𝕊≂≊⋖⋗⅁⋉∦ 𝕀⋖↷⅁ 𝕊≊≈∼ℸ⪸∖∦ ⅁⋉ ℙℶ≈∖ 𝔸⋖∤ ⊭⊬⊮⋫∤

  Cited in the paper.

• 𝕀⋉℧∖⋉ ∼≊⋊∣≈ℶ⋗⅁⋖ℶ≈↷ ℶ⋉ ⪸⅁∖ℶ⅁≈ℶ⋊⋉⅁⋖ ⅁≊≈⋊⋉⋊∖∼∤

  ℂ≂∖ℶ∼ ℂ∖⋗∖∦ 𝕏≊≂⋉ 𝕃ℶ∦ ⅁⋉ 𝔻⅁⪸ℶ 𝔻≊⪸⋉⅁≊∤ ⊭⊬⊮↚∤

  Cited in the paper.

• 𝔸≊≈⋊⅁≊ð⋗⋉≈⇍ 𝕃⅁∖⋉ℶ⋉ð ⅁≊ð⋗⋉≈⅁≈ℶ⋊⋉ ∣⋊⋖ℶℶ∼ ℧∖⋊⋗ ⅁≈⅁∤

  𝔼ℸℶ⋉ 𝔻 ℂ≊≊ℸ∦ 𝔹⅁∖∖≈ ℤ⋊∣≂∦ 𝔻⅁⋉⋖ℶ⋊⋉ 𝕄⅁⋉∦ 𝕍ℶℷ⅁↷ 𝕍⅁∼≊⪸⅁⋉∦ ⅁⋉ ℚ≊⋊ 𝕍 𝕃∤ ⊭⊬⊮↚∤

  Cited in the paper.

• ℝ⋉≈ 𝕋∖⋉∼ ℶ⋉ 𝔻ℶ∼⋊≊∖∼ ⅁⋉ 𝔻ℶ⅁⋖⋊ð≊ ∦ ⪸⋊⋖≊⋗ ⊯↛∤

  𝕃⅁ℶ⋖⅁ 𝔻↷ℸℷæ∖ ⅁⋉ 𝕎⋊⋖℧ð⅁⋉ð 𝕄ℶ⋉ℸ∖∤ ⊭⊬⊬↚∤

  Cited in the paper.

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