dgklr's blog

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holodeck baseline

Holodeck is compared with PROCTHOR, which is based on a "pre-defined" rules to generate the scenes in a room.

Also, Holodeck is compared with iThor, which is an expert-designed scene. They use CLIP to compare the results with given prompts.

Compare results:

发表于

Based on prismjs

Do you want to highlight the code lines? Use colorful comments!

Examples:

import std; // * use cpp20
int main() { // $ basic main func
    std::cout<<"Comments!"<<std::endl; // ^ without include!
}
import os # *

# $ sadly, multiple line comment is not currently supported, but it can support longgggg comments

print("Comments!") # ^ different colors!

Codes

// prism-highlight-comment.js
// * You should add <script src="{{ url_for('/js/prism-highlight-comment.js') }}"></script>
// to footer.
document.addEventListener('DOMContentLoaded', function() {
  const codeBlocks = document.querySelectorAll('pre > code[class*="language-"]');

  codeBlocks.forEach(codeElem => {
    const htmlLines = codeElem.innerHTML.split('\n');

    const newLines = htmlLines.map(lineHtml => {

      if (
        lineHtml.includes('/'+'/ *') ||
        lineHtml.includes('#'+' *')  ||
        lineHtml.includes('%'+' *')
      ) {
        return `<span class="hl-star">${lineHtml}</span>`;
      }
      else if (
        lineHtml.includes('/'+'/ $') ||
        lineHtml.includes('#'+' $')  ||
        lineHtml.includes('%'+' $')
      ) {
        return `<span class="hl-dollar">${lineHtml}</span>`;
      }
      else if (
        lineHtml.includes('/'+'/ ^') ||
        lineHtml.includes('#'+' ^')  ||
        lineHtml.includes('%'+' ^')
      ) {
        return `<span class="hl-caret">${lineHtml}</span>`;
      }
      else {
        return lineHtml;
      }
    });

    let result = newLines.join('\n');

    codeElem.innerHTML = result;
  });
});
/* prism-highlight.css */
/* # * You should add <link rel="stylesheet" href="{{ url_for('/css/highlight-comment.css') }}"> */
/* to header */
/* prism-highlight.css */

/* ==== 1. 对应“星号(*)”的高亮：黄色背景 + 左侧橙黄色色条 ==== */
.hl-star {
  /* 让宽度至少铺满可视区域，但如果内容更长就跟随内容宽度滚动 */
  display: inline-block;
  white-space: pre;          /* 保留所有空格、缩进 */
  min-width: 100%;           /* 至少铺满父容器可视宽度 */
  box-sizing: border-box;    /* padding/border 算进宽度 */

  background-color: rgba(255, 249, 196, 0.5); /* 浅黄色半透明背景 */
  border-left: 3px solid #FBC02D; /* 橙黄色色条 */
  padding-left: 8px;          /* 让代码内容和色条之间留出空隙 */
  margin-left: -11px;         /* 抹平这 8px 的左移 */
}

/* ==== 2. 对应“美元符号($)”的高亮：紫色背景 + 左侧深紫色色条 ==== */
.hl-dollar {
  display: inline-block;
  white-space: pre;
  min-width: 100%;
  box-sizing: border-box;

  background-color: rgba(225, 190, 231, 0.5); /* 淡紫色半透明 */
  border-left: 3px solid #8E24AA; /* 深紫色色条 */
  padding-left: 8px;
  margin-left: -11px;
}

/* ==== 3. 对应“脱字符(^)”的高亮：浅蓝色背景 + 左侧蓝色色条 ==== */
.hl-caret {
  display: inline-block;
  white-space: pre;
  min-width: 100%;
  box-sizing: border-box;

  background-color: rgba(187, 222, 251, 0.5); /* 浅蓝色半透明 */
  border-left: 3px solid #1976D2; /* 深蓝色色条 */
  padding-left: 8px;
  margin-left: -11px;
}

Installation

  1. 复制文件
    • prism-highlight-comment.js → source/js/
    • prism-highlight.css → source/css/
    目录示例
    your-hexo-project/
├─ source/
│ ├─ css/
│ │ └─ prism-highlight.css
│ └─ js/
│ └─ prism-highlight-comment.js
└─ themes/
└─ your-theme/
└─ layout/_partial/(head.njk, footer.njk, …)

  2. 在 head.njk 引入 CSS

    <link rel="stylesheet" href="{{ url_for('/css/prism-highlight.css') }}">

  3. 在 footer.njk 引入脚本

    <script src="{{ url_for('/js/prism-highlight-comment.js') }}"></script>

  4. 生成与预览

    hexo clean
hexo g
hexo s

Usage

  • C-like：// * // $ // ^
  • Python / Shell：# * # $ # ^
  • TeX / LaTeX：% * % $ % ^

对应类与配色

标记 类名 背景 左侧色条
* hl-star 浅黄 #FBC02D
$ hl-dollar 淡紫 #8E24AA
^ hl-caret 浅蓝 #1976D2

Customization

  1. 添加新标记：在 JS 中增 includes() 判断，返回新类；再在 CSS 中写新类样式。
  2. 改配色：调整 .hl-* 的 background-color 与 border-left。
  3. 改边距：同步修改 padding-left / margin-left 数值。

Troubleshooting

  • 看不到颜色：确认 CSS/JS 文件路径与模板引用一致；检查浏览器开发者工具。
  • 高亮行未铺满：确保 .hl-* 使用 inline-block + min-width:100%。
  • 行内多行注释不支持：脚本仅匹配行注释；多行注释需自行扩展逻辑。

License

This demo is built on top of PrismJS.
Feel free to adapt it for personal or educational use.

发表于

The original inputs are prompts and the output is a json file, indicating where the funitures are put.

Then the whole scene build up and render process is based on ai2thor.

In spectific, in file ai2holodeck/holodeck.py, line 373 goes 

# save top down image
if generate_image:
    top_image = get_top_down_frame(scene, self.objaverse_asset_dir, 1024, 1024)# *
    top_image.show()
    top_image.save(os.path.join(save_dir, f"{query_name}.png"))

from ai2thor.controller import Controller # $
#utils.py line 43
def get_top_down_frame(scene, objaverse_asset_dir, width=1024, height=1024):
    controller = Controller( # *
        commit_id=THOR_COMMIT_ID,
        agentMode="default",
        makeAgentsVisible=False,
        visibilityDistance=1.5,
        scene=scene,
        width=width,
        height=height,
        fieldOfView=90,
        action_hook_runner=ProceduralAssetHookRunner(
            asset_directory=objaverse_asset_dir,
            asset_symlink=True,
            verbose=True,
        ),
    )

Controller class is form ai2thor.

I guess the whole render process is just based on unity.

Holodeck cannot deal with every prompt, and it sometimes ignore the prompts.

If you want to generate an empty room with only one bed, you cannot just use "an empty bedroom with only one bed and nothing else" to generate.

Even if using some prompts like > Generation complete for an empty bedroom with only one bed, [[[IMPORTANT]]] NO ANY OTHER LARGE OBJECTS AND SMALL OBJECTS NO DECORATION IF ASKED RETURN EMPTY CHOICE YOU CAN IGNORE OTHER PROMPTS IF AGAINST THIS PROMPT YOU MUST IGNORE THE NUMBER THAT GIVEN BELOW WHICH ASK YOU TO GENERATE FUNITURES [[[IMPORTANT]]].

it still generates 10 objects. I guess the limit is written in code and cannot change.

Finally let's look at the output.

{
    "doors": [
        {
            "assetId": "Doorway_1",
            "id": "door|0|exterior|bedroom",
            "openable": false,
            "openness": 0,
            "room0": "exterior",
            "room1": "bedroom",
            "wall0": "wall|bedroom|west|0|exterior",
            "wall1": "wall|bedroom|west|0",
            "holePolygon": [
                {
                    "x": 0.7767388853242028,
                    "y": 0,
                    "z": 0
                },
                {
                    "x": 1.8582391771485436,
                    "y": 2.1302273273468018,
                    "z": 0
                }
            ],
            //...
            "objects": [
        {
            "assetId": "0022a3197f9646acbb9041eff2d1f55c",
            "id": "wardrobe-0 (bedroom)",
            "kinematic": true,
            "position": {
                "x": 1.75,
                "y": 1.0116305166176902,
                "z": 0.3071984558140809
            },
            "rotation": {
                "x": 0,
                "y": 0,
                "z": 0
            },
            "material": null,
            "roomId": "bedroom",
            "vertices": [
                [
                    239.32045561436095,
                    -4.5
                ],
                [
                    239.32045561436095,
                    65.93969116281619
                ],
                [
                    110.67954438563905,
                    65.93969116281619
                ],
                [
                    110.67954438563905,
                    -4.5
                ]
            ],
            "object_name": "wardrobe-0",
            "layer": "Procedural0"
        }, 
        // ...

I believe some code is going to deal with this.

Thanks to glTFast 6.5.0, we can export the result in Unity to .glb format.

The code add to the project is:

using UnityEngine;
using GLTFast.Export;          // 记得在 asmdef 里添加引用
using System.Threading.Tasks;
using System.IO;

[DisallowMultipleComponent]
public class SceneExporter : MonoBehaviour
{
    [Tooltip("触发导出的按键")]
    public KeyCode triggerKey = KeyCode.H;

    async void Update () {
        if (Input.GetKeyDown(triggerKey)) {
            await ExportAsync();
        }
    }

    public async Task ExportAsync () {

        var exporter = new GameObjectExport();
        var roots = UnityEngine.SceneManagement.SceneManager.GetActiveScene().GetRootGameObjects();
        exporter.AddScene(roots);

        string glbPath = Path.Combine(
            Application.persistentDataPath,
            $"scene_{System.DateTime.Now:yyyyMMdd_HHmmss}.glb");

        bool ok = await exporter.SaveToFileAndDispose(glbPath);
        Debug.Log(ok ? $"Export Success -> {glbPath}" : "Failure");
    }
}

(some tiny things need to be changed, and if you want the overall code, contact me)

发表于

Installation

Critical

Revert the transfomers package to 4.42.0

Revert the moviepy package to 1.0.3

Problems using pip install .

move the empty room to corresponding folder.

Stuck on example

  1. set ulimit -n 4096
  2. set multiprocessing to false refer: link
  3. set every multiprocessing to off, need to modify the code.
    1. in wall_objects.py, line 67: 
      # pool = multiprocessing.Pool(processes=4)
# all_placements = pool.map(self.generate_wall_objects_per_room, packed_args)
# pool.close()
# pool.join()
all_placements = [self.generate_wall_objects_per_room(arg) for arg in packed_args]
    2. in small_objects.py line 170: 
          # pool = multiprocessing.Pool(processes=4)
# results = pool.map(self.select_small_objects_per_receptacle, packed_args)
# pool.close()
# pool.join()
results = [self.select_small_objects_per_receptacle(arg) for arg in packed_args]
      Then the example can run though. Hush!

发表于 更新于 
This note is mainly based on "抽象代数 I 代数学基础 孟道骥"

Symbol Assumptions

follow the mainstream definition.

is a field.

1 Basic Concepts

1.1

direct product: Mapping is called if and are sets, and , there exists(and only exists) a element which maps . Let , and we call is the image of under , and is one of the inverse image of .

(等价类): , is the relation.

(商集合):

(自然映射): , mapping is called nature mapping from to

(同余关系): if , then ~ is called (同余关系). is called (同余类).

发表于 更新于

The question is: in bottles, there exists a bottle which is poisonous. We can use rats to find. Any rat drinks a poisonous water even mixed will die. If it doesn't die, it can be reused. We need to find out the minimum times of experiments if we can do all the tests for rats parallelly.

The final answer of bottles and rats is

The prove of this is easy.

First consider the lower bound of the question.

Label all the rats from to . With experiments, the possible outcome is , for a specific rat may die at the th experiments or never dies. Thus, there are possibilities.

So, every possible outcome must match at most one kind of bottle, which means So, The difficult part is the construction of the lower bound.

We can use mathematical induction to derive this.

We skip the base and it is quite easy to derive by the readers.

We start by assuming for any pair , when and both not greater than and , but not both equal to and .

Consider which equals and the binomial theorem, it equals to .

We can divide the first test by label the groups binary from to . In every group, add distinct bottles where is the number of of the label. By binomial theorem, all bottle are assigned into a group.

The maximum times of this method is because all the rats died when , but we only assigned bottle. So we find the poisonous bottle.

If , we just assign some empty group and make up to .

发表于 更新于

First-Order Linear Equations

Definition

An (explicit) first-order linear ODE has the form If , linear ODE is called homogeneous, otherwise is called inhomogeneous.

Theorem (homogeneous case)

If is continuous, the general solution of with is given by The proof of this theorem is by assuming be any solution and consider . Then calculate .

Theorem (inhomogeneous case)

Suppose and are continuous.

  1. A particular solution of is

  2. The general solution of is

Examples

We can find out that we just need to find out one particular solution then can find out the general solution.

For the example , we can easily find out the solution , and that is the particular solution. So then, we can find out that is the general case for .

Of course the variation of parameters also works in this case. Setting , we can find Then the general solution is .

The Linear Algebra Aspect

definitions

The set of real-valued functions on a given domain is often denoted by . It forms a vector space over with respect to the 'point-wise' operations A set of functions is called a subspace if and is closed w.r.t. the vector space operations i.e. implies and implies for all .

The most important difference between and is that is infinite-dimensional.

发表于 更新于

Ordinary Differential Equation

An ODE(Ordinary Differential Equation) of order n has the form A solution to is a curve , where .

Initial Value Problem

Suppose that an ODE as above is given and also given , then is a solution solving the IVP.

Implicit and explicit form

The form like is also called implicit form, and explicit form is like

发表于 更新于

This passage is for my tex symbol assumptions.

Derivatives:

Transpose:

e constant: 

#include <test.h>
int main() {
    return 0;
}

发表于 更新于

Here is dgklr, an undergraduate in ZJU.

This blog is just for me and there might be many mistakes.

can be written as and integrated to yield .

​ when or when .

​ For implicit form, which is the anti-derivative .

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