Evaluation

Input	Output
Suppose we have a training set with m=3 examples,plotted below.Our hypothes is representation is $h_{\theta}(x) = \theta_1x$ , with parameter $\theta_1$ . The cost function $J(\theta_1)$ is $J(\theta_1)$ = ${1\over2m}\sum\nolimits_{i=1}^m(h_\theta(x^i) - y^i)^2$ . What is $J(0)$ ?<image 1> (A) 0 (B) 1/6 (C) 1 (D) 14/6 Answer with the option's letter from the given choices directly. No punctuation.	Nous: Hermes 2 Vision 7B (alpha) mmmu / Computer_SciencePublic 210 775 411 888 1234 422 2472 3813 6589 110.9833765 0 0:00:00 Expected Answer: D Difficulty: Medium Subfield: Artificial Intelligence

Input

Output

Suppose we have a training set with m=3 examples,plotted below.Our hypothes is representation is $h_{\theta}(x) = \theta_1x$ , with parameter $\theta_1$ . The cost function $J(\theta_1)$ is $J(\theta_1)$ = ${1\over2m}\sum\nolimits_{i=1}^m(h_\theta(x^i) - y^i)^2$ . What is $J(0)$ ?<image 1>

(A) 0

(B) 1/6

(D) 14/6

Answer with the option's letter from the given choices directly. No punctuation.

Nous: Hermes 2 Vision 7B (alpha)

mmmu / Computer_SciencePublic

210 775 411 888 1234 422 2472 3813 6589 110.9833765 0 0:00:00

Expected Answer: D

Difficulty: Medium

Subfield: Artificial Intelligence

Evaluation ID: eedf2e6e-64c8-4b8c-9a1c-378bae71c8b4
Created: February 21, 2024

Raw Output

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      "message": {
        "role": "assistant",
        "content": "210 775 411 888 1234 422 2472 3813 6589 110.9833765 0 0:00:00 "
      }
    }
  ],
  "model": "nousresearch/nous-hermes-2-vision-7b",
  "id": "gen-h0ols6VDnaCuFttQAtzLq1HZVAp3",
  "object": "chat.completion",
  "created": 1708558354,
  "usage": {
    "prompt_tokens": 164,
    "completion_tokens": 63,
    "total_tokens": 227
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}