How the machine understands Korean
기계와 대화를 하려면 어떻게 해야 할까요? 우리는 그 동안 기계가 이해할 수 있는 프로그래밍 언어를 만들어서, 그 언어를 통해 소통해 왔습니다. 하지만 2010년 들어서며 급물살을 탄 AI 연구는 이러한 소통의 영역까지 침투하여, 기계가 인간의 언어를 이해하고, 소통할 수 있는 단계로 다가서고자 노력하고 있습니다. 그 근간에는 선형대수학의 여러 이론들이 사용되고 있는데요, 특히 인간의 언어를 기호화하고 이를 벡터공간에 투영하는 방법들이 핵심으로 여겨지고 있습니다. 이러한 방법을 임베딩(embedding)이라 지칭하고, 단어부터 문장, 문서에 이르기까지 인간의 언어를 다양한 형태로 벡터화하고, 이를 이용해 언어의 의미 유사성, 관계 유사성 등을 벡터 공간에서 벡터 연산을 통해 내재적인 의미를 도출합니다.
이번 세미나에서는 벡터공간모델(Vector Space Model, VSM)의 전통적인 방법(TF-IDF, SVD 등)부터 신경망 방법(word2vec, sent2vec 등)에 이르는 다양한 언어 모델링들을 살펴보고, 이를 한국어에 적용했을 때 기계가 어떻게 의미를 이해하는 것으로 해석할 수 있는지 다양한 관점에서 실험을 통해 살펴보도록 하겠습니다.
CRO is supposed to be really easy. Everyone can set up an A/B-test in the WYSIWYG editors, the testing tool does all the difficult computations for you and it will tell if you have found a winner. It’s child’s play, right? No, you’re wrong! WYSIWYG editors are very error prone (especially with different browsers) and in order to really analyse and interpret A/B-test results correctly you need a basic understanding of statistics.
This presentation will help you understand:
-The importance of Test Power
-How to correctly set up an A/B-test
-How to analyse test results yourself
-The difference between Frequentist and Bayesian statistics
-How to decide to implement a variation
1024+ Seconds of JS Wizardry - JSConf.eu 2013Martin Kleppe
We spend our days creating large-scale applications byte by byte. But what happens at night when we get rid of bloated libraries and browser dependencies? What will we discover deep under the surface if we dissect the language of the web into its atomic parts?
In this talk we will hack tweet-sized games, write code in only six characters and create the self-modifying “Hello World” in less than 1024 bytes of JavaScript. All just for fun and without asking “Why?”.
Prepare yourself for 140 slides full of old-school ASCII art and crazy code golfing!
More info here: http://2013.jsconf.eu/speakers/martin-kleppe-1024-seconds-of-js-wizardry.html
CRO is supposed to be really easy. Everyone can set up an A/B-test in the WYSIWYG editors, the testing tool does all the difficult computations for you and it will tell if you have found a winner. It’s child’s play, right? No, you’re wrong! WYSIWYG editors are very error prone (especially with different browsers) and in order to really analyse and interpret A/B-test results correctly you need a basic understanding of statistics.
This presentation will help you understand:
-The importance of Test Power
-How to correctly set up an A/B-test
-How to analyse test results yourself
-The difference between Frequentist and Bayesian statistics
-How to decide to implement a variation
1024+ Seconds of JS Wizardry - JSConf.eu 2013Martin Kleppe
We spend our days creating large-scale applications byte by byte. But what happens at night when we get rid of bloated libraries and browser dependencies? What will we discover deep under the surface if we dissect the language of the web into its atomic parts?
In this talk we will hack tweet-sized games, write code in only six characters and create the self-modifying “Hello World” in less than 1024 bytes of JavaScript. All just for fun and without asking “Why?”.
Prepare yourself for 140 slides full of old-school ASCII art and crazy code golfing!
More info here: http://2013.jsconf.eu/speakers/martin-kleppe-1024-seconds-of-js-wizardry.html
Predicting Force Redistribution caused by bolt failures across a Plate Mohamad Sahil
A simplified ANSYS model of a plate exposed to a spatially heterogeneous loading with 208 uniformly spaced bolts has been created to estimate the force at each location in the presence of bolt failures. This project explores the potential for classical statistical modeling and machine learning to develop a metamodel approximation of the ANSYS model.
It is necessary for interactive digital signages to have attraction affordances. In this study, we develop a fluffy display and propose a method to detect human touch input. In the proposed method, we apply the Lucas-Kanade optical flow method to detect a touch, and a novel clustering method to recognize multiple touches. Based on the experimental results, we discuss ways to interact with the proposed screen.
A talk on Data Science in Piano, contains the following:
1. Tips on how to make sure your data are analysis-friendly
2. A short introduction into how to do data science with a for loop (partially stolen from https://goo.gl/wHwZKv)
3. A brief look on output evolution for paywall health check for our clients (publishers)
4. A sneak peek into challenges we face currently
This talk is about data science and statistics applied to flight safety in commercial aviation worldwide. In the introductory part, we will stress the importance of monitoring your flight data and show you some real records coming from flight data recorders (aircraft “black boxes”). We will then explain how the data is recorded, downloaded, analysed, converted to safety events and finally, validated by experts in the field - flight data analysts. Data aggregation across many flights will result with statistical images of safety risks in airlines’ operations. However, this valuable tool can turn into a deadly weapon if used negligently – we’ll support this claim with examples. We are convinced the audience will know about some of these traps, regardless of the industry they are coming from, but hopefully there will be something valuable to take home, too. In the second part, we are saying goodbye to the data analyst and the statistician – the two dominant guys from the first part of the presentation. However, a data scientist will stem from valuable experiences and domain knowledges of the two. This guy will walk the audience through three simple, but working examples. The first one is about how we can improve the accuracy of automated analysis by using historic data and a probabilistic, Bayesian approach. The second example is about finding novel safety risks in airlines’ operations by using simple principal component analysis. Lastly, we’ll use a Markov model to detect aircraft which have changed behaviour with respect to frequency of data downloads, so we collect as many flight data as possible. We will try to make this chat as interesting and as interactive as we can and are looking forward to meeting you at this fun and interesting conference!
Next Normal - Humans and AI Collaborate: Toron AI and AI Perfumer
일시:❍ 2024.2.1.(목), 14:00~16:00
장소: 판교 테크노밸리 산업수학혁신센터 세미나실
경기 성남시 수정구 대왕판교로 815, 기업지원허브 231호 국가수리과학연구소
무료주차는 2시간 지원됩니다.
발표자: 김경훈 대표(코어닷투데이)
최근 인공지능(AI) 기술의 발전은 기존에 상상조차 하지 못했던 창의적이고 혁신적인 가능성을 제시하고 있습니다. 특히 생성형 AI는 텍스트, 이미지, 시계열 등 다양한 데이터 분야에서 인간과 유사한 창조력을 발휘하며 놀라운 성과를 이루고 있습니다. 이러한 맥락에서, 본 강연은 두 개의 발전된 AI 시스템, 토론 AI 김컴재와 AI 조향사 센트리아를 중심으로, 생성형 AI의 현재 상황과 미래에 대해 논의하며, 다음의 두 가지 사항을 고려합니다. 첫째, 토론 AI 김컴재와 AI 조향사 센트리아의 대화와 토론을 통해 생성형 AI가 우리 사회와 산업에 미치는 영향과 가능성을 탐색합니다. 이를 통해 생성형 AI의 기술적 진보와 그로 인해 생겨난 새로운 기회를 이해합니다. 둘째, 생성형 AI의 윤리적, 사회적 측면에 대해 조명합니다. 무엇보다 생성형 AI의 발전이 미치는 영향과 이에 대한 사회적 대응은 무엇보다 중요한 논의 주제입니다. 이를 통해 생성형 AI의 위험과 제약사항, 그리고 이를 극복하기 위한 방안을 탐색합니다. 본 강연은 생성형 AI의 미래를 선도할 기술적 혁신과 사회적 대응 방안을 고민해 보고, 유익한 통찰과 함께 뜻깊은 논의의 기회를 제공합니다.
Predicting Force Redistribution caused by bolt failures across a Plate Mohamad Sahil
A simplified ANSYS model of a plate exposed to a spatially heterogeneous loading with 208 uniformly spaced bolts has been created to estimate the force at each location in the presence of bolt failures. This project explores the potential for classical statistical modeling and machine learning to develop a metamodel approximation of the ANSYS model.
It is necessary for interactive digital signages to have attraction affordances. In this study, we develop a fluffy display and propose a method to detect human touch input. In the proposed method, we apply the Lucas-Kanade optical flow method to detect a touch, and a novel clustering method to recognize multiple touches. Based on the experimental results, we discuss ways to interact with the proposed screen.
A talk on Data Science in Piano, contains the following:
1. Tips on how to make sure your data are analysis-friendly
2. A short introduction into how to do data science with a for loop (partially stolen from https://goo.gl/wHwZKv)
3. A brief look on output evolution for paywall health check for our clients (publishers)
4. A sneak peek into challenges we face currently
This talk is about data science and statistics applied to flight safety in commercial aviation worldwide. In the introductory part, we will stress the importance of monitoring your flight data and show you some real records coming from flight data recorders (aircraft “black boxes”). We will then explain how the data is recorded, downloaded, analysed, converted to safety events and finally, validated by experts in the field - flight data analysts. Data aggregation across many flights will result with statistical images of safety risks in airlines’ operations. However, this valuable tool can turn into a deadly weapon if used negligently – we’ll support this claim with examples. We are convinced the audience will know about some of these traps, regardless of the industry they are coming from, but hopefully there will be something valuable to take home, too. In the second part, we are saying goodbye to the data analyst and the statistician – the two dominant guys from the first part of the presentation. However, a data scientist will stem from valuable experiences and domain knowledges of the two. This guy will walk the audience through three simple, but working examples. The first one is about how we can improve the accuracy of automated analysis by using historic data and a probabilistic, Bayesian approach. The second example is about finding novel safety risks in airlines’ operations by using simple principal component analysis. Lastly, we’ll use a Markov model to detect aircraft which have changed behaviour with respect to frequency of data downloads, so we collect as many flight data as possible. We will try to make this chat as interesting and as interactive as we can and are looking forward to meeting you at this fun and interesting conference!
Next Normal - Humans and AI Collaborate: Toron AI and AI Perfumer
일시:❍ 2024.2.1.(목), 14:00~16:00
장소: 판교 테크노밸리 산업수학혁신센터 세미나실
경기 성남시 수정구 대왕판교로 815, 기업지원허브 231호 국가수리과학연구소
무료주차는 2시간 지원됩니다.
발표자: 김경훈 대표(코어닷투데이)
최근 인공지능(AI) 기술의 발전은 기존에 상상조차 하지 못했던 창의적이고 혁신적인 가능성을 제시하고 있습니다. 특히 생성형 AI는 텍스트, 이미지, 시계열 등 다양한 데이터 분야에서 인간과 유사한 창조력을 발휘하며 놀라운 성과를 이루고 있습니다. 이러한 맥락에서, 본 강연은 두 개의 발전된 AI 시스템, 토론 AI 김컴재와 AI 조향사 센트리아를 중심으로, 생성형 AI의 현재 상황과 미래에 대해 논의하며, 다음의 두 가지 사항을 고려합니다. 첫째, 토론 AI 김컴재와 AI 조향사 센트리아의 대화와 토론을 통해 생성형 AI가 우리 사회와 산업에 미치는 영향과 가능성을 탐색합니다. 이를 통해 생성형 AI의 기술적 진보와 그로 인해 생겨난 새로운 기회를 이해합니다. 둘째, 생성형 AI의 윤리적, 사회적 측면에 대해 조명합니다. 무엇보다 생성형 AI의 발전이 미치는 영향과 이에 대한 사회적 대응은 무엇보다 중요한 논의 주제입니다. 이를 통해 생성형 AI의 위험과 제약사항, 그리고 이를 극복하기 위한 방안을 탐색합니다. 본 강연은 생성형 AI의 미래를 선도할 기술적 혁신과 사회적 대응 방안을 고민해 보고, 유익한 통찰과 함께 뜻깊은 논의의 기회를 제공합니다.
신문이나 뉴스를 보다보면 본 적이 없다고 할 수 없는 게 인공지능이란 단어가 아닌가 싶습니다. 인공지능이 이렇게 대두되기 까지는 기계학습, 얕은학습, 깊은학습 등이 혼재 되어 그 성장을 이끌었다고 할 수 있습니다. 이번 발표에서는 그러한 개념들에 대한 특징과 연결고리, 구분되는 차이점에 대해 이해하고, 그간의 발전해 온 애플리케이션들을 살펴봅니다. 특히, 기계학습에서 다섯 종족(Tribes)이라 불리는 기호주의자(Symbolists), 연결주의자(Connectionists), 진화주의자(Evolutionaries), 베이즈 주의자(Bayesians), 유추주의자(Analogizers)의 철학과 성격을 살펴보고, 각 종족이 갖는 영향력을 논의합니다. 또한 인공지능을 4단계로 구분하여, 기계를 학습시키는 연구들이 어떻게 인공지능에 받아들여 졌는지 지능과 관련지어 논의해 보겠습니다. 이후 시간이 허락한다면 앞으로의 인공지능의 발전 방향과 예측되는 불확실한 미래에 대해 논의할 예정입니다.
Naive bayes Classification using Python3Kyunghoon Kim
If the text on the screen of slideshare is broken, please download the PDF.
Chapter 1. Bayes Rule
Chapter 2. Classification
Chapter 3. Bayes & Classification
Chapter 4. Naive Bayes Classification
If the text on the screen of slideshare is broken, please download the PDF.
Chapter 1. Drawing / Matplotlib
- Ex1. Temperature graph
Chapter 2. Bayes Rule
- Ex1. A Family with two children
- Ex2. Testing for a rare disease
- Ex3. M&M problem
- Ex4. Monty Hall problem
[20160813, PyCon2016APAC] 뉴스를 재미있게 만드는 방법; 뉴스잼Kyunghoon Kim
https://www.pycon.kr/2016apac/program/1
How to make news fun?
Slideshare의 폰트 인식 문제로 인해 위 파일은 이미지 PDF로 업로드 되어 있습니다.
텍스트가 선택되는 PDF의 다운로드는 아래 링크를 이용하세요.
https://github.com/pythonkr/pyconapac-2016-files/raw/master/20160813-101-1-KimKyunghoon.pdf
Enhanced Enterprise Intelligence with your personal AI Data Copilot.pdfGetInData
Recently we have observed the rise of open-source Large Language Models (LLMs) that are community-driven or developed by the AI market leaders, such as Meta (Llama3), Databricks (DBRX) and Snowflake (Arctic). On the other hand, there is a growth in interest in specialized, carefully fine-tuned yet relatively small models that can efficiently assist programmers in day-to-day tasks. Finally, Retrieval-Augmented Generation (RAG) architectures have gained a lot of traction as the preferred approach for LLMs context and prompt augmentation for building conversational SQL data copilots, code copilots and chatbots.
In this presentation, we will show how we built upon these three concepts a robust Data Copilot that can help to democratize access to company data assets and boost performance of everyone working with data platforms.
Why do we need yet another (open-source ) Copilot?
How can we build one?
Architecture and evaluation
Learn SQL from basic queries to Advance queriesmanishkhaire30
Dive into the world of data analysis with our comprehensive guide on mastering SQL! This presentation offers a practical approach to learning SQL, focusing on real-world applications and hands-on practice. Whether you're a beginner or looking to sharpen your skills, this guide provides the tools you need to extract, analyze, and interpret data effectively.
Key Highlights:
Foundations of SQL: Understand the basics of SQL, including data retrieval, filtering, and aggregation.
Advanced Queries: Learn to craft complex queries to uncover deep insights from your data.
Data Trends and Patterns: Discover how to identify and interpret trends and patterns in your datasets.
Practical Examples: Follow step-by-step examples to apply SQL techniques in real-world scenarios.
Actionable Insights: Gain the skills to derive actionable insights that drive informed decision-making.
Join us on this journey to enhance your data analysis capabilities and unlock the full potential of SQL. Perfect for data enthusiasts, analysts, and anyone eager to harness the power of data!
#DataAnalysis #SQL #LearningSQL #DataInsights #DataScience #Analytics
The Building Blocks of QuestDB, a Time Series Databasejavier ramirez
Talk Delivered at Valencia Codes Meetup 2024-06.
Traditionally, databases have treated timestamps just as another data type. However, when performing real-time analytics, timestamps should be first class citizens and we need rich time semantics to get the most out of our data. We also need to deal with ever growing datasets while keeping performant, which is as fun as it sounds.
It is no wonder time-series databases are now more popular than ever before. Join me in this session to learn about the internal architecture and building blocks of QuestDB, an open source time-series database designed for speed. We will also review a history of some of the changes we have gone over the past two years to deal with late and unordered data, non-blocking writes, read-replicas, or faster batch ingestion.
Techniques to optimize the pagerank algorithm usually fall in two categories. One is to try reducing the work per iteration, and the other is to try reducing the number of iterations. These goals are often at odds with one another. Skipping computation on vertices which have already converged has the potential to save iteration time. Skipping in-identical vertices, with the same in-links, helps reduce duplicate computations and thus could help reduce iteration time. Road networks often have chains which can be short-circuited before pagerank computation to improve performance. Final ranks of chain nodes can be easily calculated. This could reduce both the iteration time, and the number of iterations. If a graph has no dangling nodes, pagerank of each strongly connected component can be computed in topological order. This could help reduce the iteration time, no. of iterations, and also enable multi-iteration concurrency in pagerank computation. The combination of all of the above methods is the STICD algorithm. [sticd] For dynamic graphs, unchanged components whose ranks are unaffected can be skipped altogether.
06-04-2024 - NYC Tech Week - Discussion on Vector Databases, Unstructured Data and AI
Round table discussion of vector databases, unstructured data, ai, big data, real-time, robots and Milvus.
A lively discussion with NJ Gen AI Meetup Lead, Prasad and Procure.FYI's Co-Found
3. a mechanically, electrically, or electronically operated device
for performing a task
https://www.merriam-webster.com/dictionary/machine3
4. a process by which information is exchanged
between individuals through a common system
of symbols, signs, or behavior
https://www.merriam-webster.com/dictionary/communication4
41. 41 Christopher, D. M., Prabhakar, R., & Hinrich, S. (2008). Introduction to information retrieval. An Introduction To Information Retrieval, 151(177), 5.
42. 42 Christopher, D. M., Prabhakar, R., & Hinrich, S. (2008). Introduction to information retrieval. An Introduction To Information Retrieval, 151(177), 5.
43. 43 Christopher, D. M., Prabhakar, R., & Hinrich, S. (2008). Introduction to information retrieval. An Introduction To Information Retrieval, 151(177), 5.
• Each term !" generates a row vector ($"%, $"', ⋯ , $"))
referred to as a term vector and each document +, generates a
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44. 44 Christopher, D. M., Prabhakar, R., & Hinrich, S. (2008). Introduction to information retrieval. An Introduction To Information Retrieval, 151(177), 5.
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C
A
<latexit sha1_base64="CnY+57CJKvSKGuwemxFFRmUiI9c=">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</latexit>
cos(d1, d2) =
2
2.83 ⇥ 1.41
= 0.5
<latexit sha1_base64="Mz3fqZdI6Gmx11iq+hTEdN8ueuA=">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</latexit>
[[1.0 , 0.5 , 0.5 , 0.67 ],
[0.5 , 1.0 , 0.5 , 0.0 ],
[0.5 , 0.5 , 1.0 , 0.0 ],
[0.67 , 0.0 , 0.0 , 1.0 ]]
50. 50
A0
=
0
B
B
B
B
B
B
B
B
B
B
B
B
B
B
@
0.95 0.54 0.54 0.04
0.95 0.54 0.54 0.04
1.23 0.8 0.8 0.18
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.26 0.22 0.22 0.8
0.26 0.22 0.22 0.8
1
C
C
C
C
C
C
C
C
C
C
C
C
C
C
A
<latexit sha1_base64="7xtN193IeVqY4dyiGQFiKzwdqM0=">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</latexit>
[[ 1. , 0.67 , 0.67 , 0.71],
[ 0.67, 1. , 1. , -0.05],
[ 0.67, 1. , 1. , -0.05],
[ 0.71, -0.05, -0.05, 1. ]]
51. 51
A0
=
0
B
B
B
B
B
B
B
B
B
B
B
B
B
B
@
0.95 0.54 0.54 0.04
0.95 0.54 0.54 0.04
1.23 0.8 0.8 0.18
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.93 0.06 0.06 1.05
0.26 0.22 0.22 0.8
0.26 0.22 0.22 0.8
1
C
C
C
C
C
C
C
C
C
C
C
C
C
C
A
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[[ 1. , 0.67 , 0.67 , 0.71],
[ 0.67, 1. , 1. , -0.05],
[ 0.67, 1. , 1. , -0.05],
[ 0.71, -0.05, -0.05, 1. ]]
108. 108 Nickel, Maximillian, and Douwe Kiela. "Poincaré embeddings for learning hierarchical representations." Advances in neural information processing systems. 2017.