measurement.json
Browse files- README.md +149 -0
- measurement.json +0 -0
README.md
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| 1 |
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---
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library_name: transformers
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license: apache-2.0
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language:
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- en
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widget:
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- example_title: Reasoning
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text: >
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<|im_start|>system
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You are Hyperion, an AI assistant developed by Sebastian Gabarain with a
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focus in reasoning, coding, science, and other general-purpose subjects. You
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are an AI assistant that follows instruction extremely well. Help as much as
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you can.
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<|im_end|>
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<|im_start|>user
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In this task, you are given a description of an object and its surroundings.
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Your
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task is to describe the motion of the object mentioned in the description
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using
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differential equations. The answer should be a mathematical expression in t.
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Description:
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A ball is thrown up at 30 ft/sec from 3 feet off the ground. Solve this
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step-by-step,
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explaining each step in detail.
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<|im_end|>
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<|im_start|>assistant
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output:
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text: >
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Hyperion here. The task requires you to describe the motion of a ball
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thrown up using differential equations. Here's the detailed explanation of
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how to solve it:
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1. Identify the given information:
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- Initial velocity (v0): 30 ft/sec
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- Initial height (y0): 3 feet off the ground
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2. Determine the acceleration due to gravity (g) at sea level, which is
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approximately -32.2 ft/s^2. Since we're dealing with a short distance and
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not very high altitudes, we can consider this value of g as constant.
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3. Use Newton's second law of motion to find the differential equation
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that describes the motion:
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- The net force acting on the ball is the sum of gravity (mg) and air resistance (which we will neglect for simplicity). So, Fnet = mg.
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- Since acceleration equals force divided by mass, a = Fnet/m. In this case, m cancels out, so a = g.
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- The motion equation becomes: dv/dt = g = -32.2 ft/s^2 (since we're moving upwards). This is the first differential equation.
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4. Since we want to describe the ball's position (y) as well, we need
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another differential equation. We can use kinematics equations:
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- The velocity equation is v = v0 + at. Substitute the value of a from step 3:
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dv/dt = -32.2 ft/s^2. Rewriting it as an integral:
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∫dv = -32.2 ft/s^2 * dt
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- Integrating with respect to time, we get v(t) = -16.1 t + C (constant of integration).
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5. Now we have two equations, one for velocity and another for position:
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- dv/dt = -32.2 ft/s^2 (equation 1)
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- v(t) = -16.1 t + C (equation 2)
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6. We need to find the constant C using the initial conditions given in
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the problem. We know that initially, at time t=0, the ball's velocity is
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v0:
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- Equation 2 becomes v0 = -16.1 * 0 + C, which simplifies to C = v0 = 30 ft/sec (initial velocity).
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7. Now we have both equations with the constants filled in:
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- dv/dt = -32.2 ft/s^2 (equation 1)
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- v(t) = -16.1 t + 30 ft/sec (equation 2)
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8. Finally, we need to find the ball's position (y) as a function of time:
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- Use the second kinematics equation y = y0 + v0*t + ½*a*t^2 (since acceleration is constant, it can be moved outside the integral).
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- Substitute the values for v0 and a:
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y(t) = 3 ft + (30 ft/sec) * t + (-½ * 32.2 ft/s^2) * t^2
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That's it! The differential equation describing the motion of the ball is:
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- dv/dt = -32.2 ft/s^2 (equation 1)
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- v(t) = -16.1 t + 30 ft/sec (equation 2)
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- y(t) = 3 ft + (30 ft/sec) * t - (16.1 t^2) ft (equation 3)
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datasets:
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- Locutusque/hyperion-dpo-v1.0
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quantized_by: bartowski
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pipeline_tag: text-generation
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---
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## Exllama v2 Quantizations of Hyperion-3.0-Mistral-7B-DPO
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Using <a href="https://github.com/turboderp/exllamav2/releases/tag/v0.0.16">turboderp's ExLlamaV2 v0.0.16</a> for quantization.
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<b>The "main" branch only contains the measurement.json, download one of the other branches for the model (see below)</b>
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Each branch contains an individual bits per weight, with the main one containing only the meaurement.json for further conversions.
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Original model: https://huggingface.co/Locutusque/Hyperion-3.0-Mistral-7B-DPO
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| Branch | Bits | lm_head bits | VRAM (4k) | VRAM (16k) | VRAM (32k) | Description |
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| ----- | ---- | ------- | ------ | ------ | ------ | ------------ |
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| [8_0](https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2/tree/8_0) | 8.0 | 8.0 | 8.4 GB | 9.8 GB | 11.8 GB | Maximum quality that ExLlamaV2 can produce, near unquantized performance. |
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| [6_5](https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2/tree/6_5) | 6.5 | 8.0 | 7.2 GB | 8.6 GB | 10.6 GB | Very similar to 8.0, good tradeoff of size vs performance, **recommended**. |
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| [5_0](https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2/tree/5_0) | 5.0 | 6.0 | 6.0 GB | 7.4 GB | 9.4 GB | Slightly lower quality vs 6.5, but usable on 8GB cards. |
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| [4_25](https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2/tree/4_25) | 4.25 | 6.0 | 5.3 GB | 6.7 GB | 8.7 GB | GPTQ equivalent bits per weight, slightly higher quality. |
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| [3_5](https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2/tree/3_5) | 3.5 | 6.0 | 4.7 GB | 6.1 GB | 8.1 GB | Lower quality, only use if you have to. |
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## Download instructions
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With git:
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```shell
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git clone --single-branch --branch 6_5 https://huggingface.co/bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2 Hyperion-3.0-Mistral-7B-DPO-exl2-6_5
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```
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With huggingface hub (credit to TheBloke for instructions):
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```shell
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pip3 install huggingface-hub
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```
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To download the `main` (only useful if you only care about measurement.json) branch to a folder called `Hyperion-3.0-Mistral-7B-DPO-exl2`:
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```shell
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mkdir Hyperion-3.0-Mistral-7B-DPO-exl2
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huggingface-cli download bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2 --local-dir Hyperion-3.0-Mistral-7B-DPO-exl2 --local-dir-use-symlinks False
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```
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To download from a different branch, add the `--revision` parameter:
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Linux:
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```shell
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mkdir Hyperion-3.0-Mistral-7B-DPO-exl2-6_5
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huggingface-cli download bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2 --revision 6_5 --local-dir Hyperion-3.0-Mistral-7B-DPO-exl2-6_5 --local-dir-use-symlinks False
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```
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Windows (which apparently doesn't like _ in folders sometimes?):
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```shell
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mkdir Hyperion-3.0-Mistral-7B-DPO-exl2-6.5
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huggingface-cli download bartowski/Hyperion-3.0-Mistral-7B-DPO-exl2 --revision 6_5 --local-dir Hyperion-3.0-Mistral-7B-DPO-exl2-6.5 --local-dir-use-symlinks False
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```
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Want to support my work? Visit my ko-fi page here: https://ko-fi.com/bartowski
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measurement.json
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