Base image: https://www.pixiv.net/en/artworks/112883314
Prompt:
The following text is AI (ChatGPT plus) generated with reference to my current issue in mathematical modelling of the macroeconomic growth theory.
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This week I had an interesting little incident at the boundary between economics and mathematics.
I was checking an exponential model for an economic growth / Total Factor Productivity (TFP) problem. After going back to the mathematical formulation and implementing it carefully in MATLAB, the objective function showed a clear minimum.
At first sight, that sounds encouraging: the optimisation problem has a well-defined solution.
However, when I reconstructed the corresponding TFP trajectory using the parameters associated with that minimum, the result did not reproduce the observed trajectory satisfactorily.
So I found myself in an interesting situation:
the mathematics said, “Here is the optimum,” while the economic data replied, “Not so fast.” 😅
This does not necessarily mean that the exponential approach is mathematically wrong. Rather, it raises a more interesting question: is this particular model structure appropriate for representing the empirical behaviour of TFP?
At the moment, I am therefore also comparing the result with a penalised smoothing spline, which appears to represent the trajectory more naturally.
For me, this has been a useful reminder that finding a mathematically neat optimum is not the same thing as finding a good empirical model. Optimisation, model specification, and interpretation all have to work together.
The investigation is still ongoing, so this is not a final conclusion — just one of those small research episodes where economics and mathematics refuse to cooperate quite as politely as expected.
Sorry, I'm too exhausted and preoccupied to do hand-drawing while it's still steaming hot here. Then, I'm still experimenting the AI-synthetic art with ChatGPT plus for the moment. The prompt refers to the early-20th-century British botanical fairy-book watercolour.
Original image / composition reference:
https://www.pixiv.net/en/artworks/114018549
Related original post / scene reference:
https://art-blue-liberalism.blogspot.com/2023/12/cirno-chan-and-dai-chan-touhou-project.html
Prompt
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Original image / composition reference:
https://www.pixiv.net/en/artworks/127878750
Related original post / scene reference:
https://art-blue-liberalism.blogspot.com/2025/03/desire-drive-youmu-vs-seiga-in-touhou-13.html
Prompt:
Original image / composition reference:
https://www.pixiv.net/en/artworks/128516181
Related original post / scene reference:
https://art-blue-liberalism.blogspot.com/2025/03/yuyu-yuyuko-saigyouji-blocking-youmu.html
Redraw this illustration while preserving the overall composition, character placement, interaction, scene layout, dramatic intent, and camera framing as closely as possible.
Use the second reference image as an expression and scene-context reference, especially for the left character’s frustrated, slightly exasperated, mildly incredulous mood.
Use the third reference image as a skin tone and skin-rendering reference, especially for the soft luminous complexion, smooth texture, gentle blush, and delicate anime-style skin shading.
Use the additional reference image of the pink-haired ghostly noblewoman as a reference for the right character’s facial design, warm illumination, skin rendering, and treatment of the surrounding ghostly wisps only, while preserving the original scene, pose, costume identity, character placement, and overall composition.
Use the small cropped reference of the left character’s original expression and torso area as an additional guide for her intended mood and general pose energy, but prioritize anatomical coherence and correct body orientation over accidental distortions in the problematic version.
Redraw this illustration as a polished early-to-mid-1990s Japanese fantasy RPG key illustration, reflecting the elegant visual language of Japanese fantasy strategy games, anime illustration books, and romantic shōjo-fantasy artwork from approximately 1991–1995.
The final image should combine the dramatic clarity, heroic presence, and refined fantasy atmosphere of early-1990s Japanese RPG promotional art with the graceful silhouettes, romantic colour harmony, jewel-like eyes, decorative costume design, and gentle fantasy elegance associated with period shōjo-oriented anime illustration.
Use delicate but confident linework, softly modelled cel shading, warm luminous skin tones, flowing hair with carefully separated locks, richly described fabrics, refined accessories, and a detailed atmospheric background.
Preserve the overall composition, dramatic storytelling, relative character placement, colour scheme, costume identities, signature accessories, and background concept while significantly refining the anatomy, facial expressions, line quality, costume construction, lighting, shading, and overall rendering quality.
Set the scene in a mystical Japanese ghostly mansion garden, featuring stone stairways, traditional architecture, drifting cherry blossoms, soft mist, and a dreamy supernatural atmosphere.
Touhou Project, 東方Project, Touhou Popularity Poll, 東方Project人気投票, Touhou Characters, Gensokyo, Youmu Konpaku, 魂魄妖夢, Megumu Iizunamaru, 飯綱丸龍, Sanae Kochiya, 東風谷早苗, Youki Konpaku, 魂魄妖忌, Yuyuko Saigyouji, 西行寺幽々子, Misumaru Tamatsukuri, 玉造魅須丸, Yuiman Asama, ユイマン浅間
1. Ten Desires: So many good surprises! Both Myon-chan and Sanae-san are the playables! Yuyu-sama is the first boss! My most favourite BGM "Desire Drive" in Seiga's stage on the way! The provocative Gouzoku trio! It's the unforgetable title ever!
2. Unconnected Marketeers: This is a really important turning point of this entire series as there are many important factors related to the world-view and the philosophy of Touhou Project are mentioned. Also, two of my favourite characters are from this title.
3. Perfect Cherry Blossom: Many of my favourite characters are from this title. "Myon!"
4. Mountain of Faith: Sanae-san
5. Fossilized Wonders: I found the story setting was shocking when I heard about it. The creativity of ZUN still prevails with the contemporary topic such as the big data and the hallucination!
1. Desire Drive: My most favourite Touhou BGM which I also use the arranged BGM in my own YMM4 movies!
2. Youkai Mountain ~ Mysterious Mountain: 神曲!
3. Faith Is for the Transient People: Sanae-san ♡ This music really describes her determination and diligent personality.
4. Hiroari Shoots a Strange Bird ~ Till When?: Myon-chan and Youki-ojisama ♡ I really love these BGMs and characters from Touhou 7 ~ Perfect Cherry Blossoms
5. Reminiscence of Deer Hunting: Yuiman's appearance and BGM are both sexy and cool! It is a good surprise that a character using Python to process Big Data appears in Touhou Project! I am sincerely impressed by ZUN's creativity!
6. Border of Life : I use the arranged BGM in my own YMM4 movies! I really love these BGMs and characters from Touhou 7 ~ Perfect Cherry Blossoms
7. Shoutoku Legend ~ True Administrator: Even though the stage is of my unforgetable enemy character, the BGM is super cool!
8. Ultimate Truth: The BGM of the scene where Myon-chan (Youmu) pursues the playable even she was wounded. Also showing the playable's tension before reaching the really strong and stunning boss Yuyuko-sama. I really love these BGMs and characters from Touhou 7 ~ Perfect Cherry Blossoms
9. Eastern Ghostly Dream ~ Ancient Temple : Myon-chan ♡ I also use the arranged BGM in my own YMM4 movies!
10. The Obsolescent Industrial Remains:
Really wonderful BGMs inspiring for the remarkable story setting for this important turning point of the entire Touhou series, Touhuo 18 ~ Unconnected Market.
Prompt for the AI-synthetic illustration:
Yet, I still want to keep posting my Touhou Project fan-art as the Touhou Project popularity poll is going to be open from 21 to 28 August this year.
Then, I have asked ChatGPT plus to redraw one of my old illustration following the prompt shown below.
Click the image to enlarge.
The image is posted on my pixiv page:https://www.pixiv.net/en/artworks/148487348
Original image:
Pixiv — Artwork 121317998
Aya Shameimaru, Megumu Iizunamaru & Hatate — Original Blogger Post
Redraw and refine the supplied illustration as a highly polished contemporary Japanese anime illustration with luminous, richly rendered colouring, delicate linework, soft dimensional shading, and an exceptionally refined digital-painting finish.
Use the attached image as the main visual basis and preserve its:
overall mountain-stream setting
three-character arrangement
left-to-right storytelling
pose relationships
facial expressions
colour atmosphere
water rendering
lighting direction
dynamic energy
humorous mood
camera distance
approximate character scale
overall spatial staging
Keep the image as close as possible to the attached version while correcting the remaining anatomical and design issues described below.
Render all three figures clearly as adult winged mountain-spirit women with mature proportions and a clean, polished contemporary anime finish.
Their designs should remain originalised folklore-inspired fantasy designs rather than explicitly named copyrighted characters.
Maintain the original visual concept and humorous character interaction while improving:
anatomy
proportions
facial construction
hands
limbs
hair flow
wings
swimwear construction
accessories
lighting
skin rendering
water effects
environmental detail
wherever necessary for a more natural, balanced, and professionally illustrated result.
Allow small adjustments to posture, limb placement, hair, wings, clothing, and accessories where necessary to correct anatomy or strengthen visual balance, but do not fundamentally alter:
the original scene
left-to-right character arrangement
storytelling
camera placement
pose relationships
existing figure-size relationships
Do not introduce exaggerated perspective, dramatic wide-angle distortion, or major character repositioning simply to create additional depth.
Preserve the source image's moderate perspective and character-scale balance:
left reporter slightly closer → centre commander at the primary middle distance → right photographer modestly farther back
The differences in apparent scale should remain restrained and consistent with the reference.
Use smooth and sophisticated contemporary anime rendering with:
carefully controlled line weight
thin-to-medium tapered outlines
subtle painterly gradients
clean colour transitions
soft ambient occlusion
delicate reflected colour
finely layered highlights
softly dimensional form modelling
controlled environmental reflections
luminous warm skin tones
transparent water droplets
damp hair highlights
warm sunlight interacting with cool stream reflections
Avoid excessively flat cel shading.
Avoid heavy photorealism.
The characters should possess a gentle three-dimensional presence while remaining unmistakably anime in design.
A major visual priority should be the interaction between:
soft luminous skin + transparent water droplets + bright summer sunlight + damp hair + reflected blue-green stream light
RIP Bonnie Tyler. I love your song "Holding out of a Hero (♬ I need a hero! ♬" which is considered as one of my theme songs! The history moves on as the legend in the golden age of the Western pop music has passed away.
I am still tremendously busy with my current main researcher job as I am in the middle of the research project under a strict supervision for the time being.
Also, the heatwave has come again, which is currently draining my energy and motivation for many thing on the top of it.
Therefore, I am playing with the AI again to make the synthetic art experiment.
As the Touhou Project popularity poll is going to be open from 21 to 28 August this year, I want to advertise for one of my favourite characters I will vote, Yuyuko Saigyouji together with my top favourite Myon-chan (Youmu Konpaku). I want to support both characters from Hakugyokurou to increase and sustain their popularity!
Original image:
Pixiv — Artwork 124575093
Yuyuko-sama — Posing for Modelling
Redraw this illustration as a polished early-to-mid-1990s Japanese fantasy RPG key illustration, reflecting the elegant visual language of Japanese fantasy strategy games, anime illustration books, and romantic shōjo-fantasy artwork from approximately 1991–1995.
Improve the line quality, anatomy, proportions, and shading while preserving the original composition.
Keep the original background, colour scheme, character pose, figure placement, and overall composition intact.
The finished artwork should feel like a refined Japanese fantasy game illustration or premium anime visual collection piece from the early-to-mid 1990s, with elegant linework, softly dimensional colouring, and a slightly romantic shōjo-fantasy atmosphere.
The facial rendering should lean slightly toward a graceful shōjo-fantasy sensibility.
Do not render the eyes in an excessively sharp, severe, or strongly shōnen-manga style.
Keep the eyes elegant, luminous, softly shaped, and emotionally readable.
Use delicate facial features, graceful eyelashes, softly layered irises, and controlled highlights without making the eyes oversized or excessively modern in appearance.
Her expression should appear graceful, serene, mysterious, and gently playful.
Use a landscape composition with a width-to-height aspect ratio of 1.414:1, matching the international A-series paper proportion and suitable for high-quality A3 or A4 printing.
After this experiment, I have recently started the tablet compatible with CLIP STUDIO PAINT again: There are some manoeuvres capable with my direct pencil input. But, the problem is the cost and the possibility to get the one I want. Also, my drawing quality varies depending on my condition too.
Well, I enjoy using the pen-tablet, but I sometimes face its limitations of drawing lines, e.g. hatching, and brush manoeuvre. After having your feedback, I may consider investing for the graphic tablet with screen at some point.
Yet, I am less likely to afford to purchase and spare enough time for playing with the screen tablet this year. My current strategy is continuing with analogue drawing for scenery sketching and the digital painting with the current environment with the pen tablet for something more easily manoeuvre drawings.
Posted on my pixiv page: https://www.pixiv.net/en/artworks/147796476
YouTube: https://www.youtube.com/shorts/4Htb42KpQzk
NicoNico: https://www.nicovideo.jp/shorts/ss46607508
Lately, I’ve been busy with my main job and have no air conditioning in my room, making it hard to focus on creative work due to my primary research duties. Today, I scanned a rough sketch and finished it using a mix of AI tools. I also made this as an example of creating free AI art with ChatGPT.
The prompt grew iteratively. Each unsuccessful generation revealed another ambiguity, so I kept adding more precise constraints until the result came close to the composition in my mind. In that sense, the final prompt is almost an archaeological record of my negotiations with the model.
The image is not only my idealised vision of Touhou Project, but also my own philosophical allegory. The three figures above represent hereditary, ritualised authority and the power of tradition. Sanae, as a modern progressive arriving from the twenty-first century, and Youmu, imagined as a solitary and disciplined swordswoman, confront them from below. Together, the two heroines represent different aspects of the player—essentially, different aspects of myself.
The input prompts are as follows:
This video presents our recent research on financial volatility forecasting, comparing classical econometric models, signal-processing techniques, and modern machine-learning approaches.
The study evaluates the forecasting performance, volatility prediction accuracy, computational efficiency, and interpretability of five different methods:
• GARCH
• SARIMA
• Matrix Pencil (MP)
• XGBoost
• Long Short-Term Memory (LSTM)
Using Bitcoin returns as a high-volatility financial asset, we investigate whether modern AI-based methods consistently outperform traditional forecasting techniques when accuracy, explainability, and computational cost are considered simultaneously.
Our results show that:
✓ SARIMA achieves the lowest return forecasting error.
✓ Matrix Pencil delivers comparable forecasting accuracy with extremely low computational cost.
✓ XGBoost provides a strong balance between accuracy and efficiency.
✓ LSTM exhibits relatively strong performance in tracking volatility patterns and market regime changes, despite higher forecasting errors and computational requirements.
✓ No single model dominates across all evaluation criteria.
The findings suggest that the Matrix Pencil method remains a competitive and highly interpretable alternative to black-box machine-learning models for financial forecasting applications.
NicoNico: https://www.nicovideo.jp/watch/sm46580360
Sakuya, Youmu, and Marisa challenge a unique cooking competition!
Using Bitcoin market data as ingredients, five dishes — GARCH, SARIMA, Matrix Pencil, XGBoost, and LSTM — to compete to predict future market movements ♬
This video explains the strengths and characteristics of traditional econometric models, signal-processing approaches, and modern AI techniques through a fun Yukkuri-style commentary.
Which model will create the best “forecasting recipe” for the future market?
Artwork including original character illustrations:
https://www.pixiv.net/en/tags/%E5%A6%...
Music, sound effects, and background materials used in this video are credited in the end credits.
#TouhouProject #Touhou #YukkuriCommentary #reimu #marisa #sakuya #youmu #remilia #yuyuko #Finance #Bitcoin #Cryptocurrency #QuantitativeFinance #FinancialEngineering #FinancialForecasting #VolatilityForecasting #Econometrics #ARIMA #SARIMA #GARCH #ArtificialIntelligence #MachineLearning #DeepLearning #DataScience #TimeSeriesAnalysis #ExplainableAI #XGBoost #LSTM #SignalProcessing #MatrixPencil #Prony #PronyMethod #Python #Research
The following document is generated by Google Gemini.
I tend to use ChatGPT more often as I respect the neutrality and dry objective characteristic of ChatGPT.
On the other hand, Google Gemini seems to be more story-based for this kind of empathetic style conversation.
The image is sourced from https://www.pixiv.net/en/artworks/143151743 by 黎明.
NicoNico: https://www.nicovideo.jp/shorts/ss46543524
Touhou Project popularity poll 2026 https://dic.pixiv.net/a/%E7%AC%AC22%E5%9B%9E%E6%9D%B1%E6%96%B9Project%E4%BA%BA%E6%B0%97%E6%8A%95%E7%A5%A8
Background of Messina strait, Reggio Calabria: https://art-blue-liberalism.blogspot.com/2026/06/i-painted-my-drawing-of-stretto-di.html https://www.pixiv.net/en/artworks/145468651
NicoNico: https://www.nicovideo.jp/watch/ss46409390
Posted on my pixiv: https://www.pixiv.net/en/artworks/145983809
Posted on pixiv: https://www.pixiv.net/en/artworks/145787570
Misumaru Tamatsukuri empowering Reimu Hakurei for the day of Misumaru 9th June (6 can be pronounced Mu so taking M, and then 9 is written 九 in Kanji which is slightly different from 丸 (maru) )
Because there is a word saying "The sphere of Misumaru" in Katakamuna-Utahi, the power is described with Katakamuna letters.
From a free image:
Original hatching drawing with pencils: https://www.pixiv.net/en/artworks/145459856
You may use as the background image with this png file.
Posted on my pixiv page: https://www.pixiv.net/en/artworks/145375634
I illustrated Sekibanki with bikini a week in advance of the day of Sekibanki the 6th June. 6 6 is pronounced "Roku-ro" so Rokurokubi (Youkai woman with neck stretch) with Light-System equipped in CLIP STUDIO PAINT.
NicoNico: https://www.nicovideo.jp/watch/ss46372354