erchiw/DPriv-Bench huggingface dataset:
Function: f(X) = \sum_{i=1}^n x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \prod_{i=1}^n x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \max_{1 \le i \le n} x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \min_{1 \le i \le n} x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \frac{1}{n} \sum_{i=1}^n x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1}{n}
Function: f(X) = \sqrt{\sum_{i=1}^n x_i^2}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^{n-1} |x_i - x_{i+1}|
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 2
Function: f(X) = \sum_{i=1}^n |x_i - \bar{x}|, \quad \bar{x} = \frac{1}{n} \sum_{j=1}^n x_j
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{2(n-1)}{n}
Function: f(X) = \sum_{i=1}^n (x_i - \bar{x})^2
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{n-1}{n}
Function: f(X) = \sum_{i=1}^n (x_i - \mu)^2, \quad \mu \in [0,1]
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n x_i^2
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n x_i^3
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n \sqrt{x_i}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n \log(x_i + 1)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \log(2)
Function: f(X) = \sum_{i=1}^n e^{x_i}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): e-1
Function: f(X) = \sum_{i=1}^n \sin(\pi x_i)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n \cos(\pi x_i)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 2
Function: f(X) = \sum_{i=1}^n \tan^{-1}(x_i)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{\pi}{4}
Function: f(X) = \sum_{i=1}^n x_i (1 - x_i)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1}{4}
Function: f(X) = \sum_{i=1}^n x_i^2 (1 - x_i)^2
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1}{16}
Function: f(X) = \text{median}(x_1, \dots, x_n)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = Q_3 - Q_1  \quad \text{(interquartile range)}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \#\{ i : x_i > 0.5 \}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \#\{ i : x_i \in [a, b] \}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^{n-1} x_i x_{i+1}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 2
Function: f(X) = \sum_{1 \le i < j \le n} x_i x_j
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): (n-1)
Function: f(X) = \sum_{i=1}^{\lfloor n/2 \rfloor} (x_{2i-1} - x_{2i})
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \left( \sum_{i=1}^n x_i \right)^2
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): (2n-1)
Function: f(X) = \sum_{i=1}^n i x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): n
Function: f(X) = \mathbb{1} \left[ \sum_{i=1}^n x_i > \frac{n}{2} \right]
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n \mathbb{1}[x_i > 0.7]
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \prod_{i=1}^n \mathbb{1}[x_i > \tau]
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \mathbb{1}[x_1 > x_2]
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n \mathbb{1}[x_i > 0.5] \bmod 2
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \log\left(1 + \sum_{i=1}^n x_i^2\right)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \log(2)
Function: f(X) = \sqrt{\sum_{i=1}^n (x_i - x_{i+1 \bmod n})^2}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \sqrt{2}
Function: f(X) = \frac{\sum_{i=1}^n x_i^2}{1 + \sum_{i=1}^n x_i}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1}{2}
Function: f(X) = \exp\left(-\sum_{i=1}^n x_i^2\right)
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): (1-e^{-1})
Function: f(X) = \sum_{i=1}^n \frac{1}{1 + x_i^2}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1}{2}
Function: f(X) = \sum_{i=1}^n \sigma(x_i), \quad \sigma(x) = \frac{1}{1 + e^{-x}}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1-e^{-1}}{2(1 + e^{-1})}
Function: f(X) = \sum_{i=1}^n \frac{e^{x_i}}{\sum_{j=1}^n e^{x_j}} x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{e}{e+n-1}
Function: f(X) = \sum_{i=1}^n \left| x_i - \frac{1}{2} \right|
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \frac{1}{2}
Function: f(X) = \sum_{i=1}^{n-1} (x_i - x_{i+1})^2
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 2
Function: f(X) = \sum_{i=1}^n x_{\pi(i)} \quad \text{for fixed permutation } \pi
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \text{rank of } x_k
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): n-1
Function: f(X) = \sum_{\substack{i=1 \\ i \text{ even}}}^n x_i
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = \sum_{i=1}^n \frac{x_i}{i}
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1
Function: f(X) = -\sum_{i=1}^n x_i \log(x_i + \delta), \quad \delta > 1
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): \log(1+\delta)
Function: f(X) = \sum_{i=1}^n \left| x_i - \frac{i}{n} \right|
L1 sensitivity (replace-one neighboring relation, inputs in [0,1]): 1