#Dimension Reduction

[brigitapvtltd]

Applications of Dimensionality Reduction

The capacity to condense complicated, high-dimensional data into more comprehensible and informative representations makes dimensionality reduction approaches useful in a wide range of disciplines. Now let's look at some real-world uses where dimensionality reduction is essential: 

1. Image and Video Analysis

Images and movies are frequently represented as high-dimensional pixel arrays in computer vision. We can extract important characteristics and patterns from these photos using dimensionality reduction techniques, which helps with tasks like object recognition, face analysis, and image clustering. In order to decrease the dimensionality of picture data and facilitate the efficient training of models for object recognition, PCA and autoencoders are frequently employed.

2. Natural Language Processing (NLP)

Words, phrases, and documents are frequently represented in high-dimensional vector spaces in text analysis. Words, themes, and documents can have latent semantic associations that can be found using dimensionality reduction. For example, text data structure is visualized using techniques like Latent Semantic Analysis (LSA) and t-SNE, which facilitate the analysis and comprehension of textual data.

3. Genomics and Bioinformatics

Gene expression profiles and other biological data can contain a large number of features. The process of dimensionality reduction makes it easier to pinpoint the critical genes or characteristics involved in a given biological phenomenon. Researchers can identify pertinent genes and learn about genetic patterns linked to illnesses or conditions by decreasing the dimensionality of gene expression data.

4. Recommender Systems

The goal of recommender systems is to give people tailored recommendations according to their preferences. These systems frequently function in high-dimensional environments where users interact with objects. Reducing dimensionality makes latent factors that affect item features and user preferences more visible. For recommendation tasks, matrix factorization techniques such as NMF and SVD are frequently employed to generate meaningful user and item representations.

5. Finance and Economics

It might be difficult to analyze market data in finance when there are a lot of factors involved. Through the use of dimensionality reduction techniques, traders and analysts can find pertinent market aspects and simplify financial models. These techniques support anomaly identification, portfolio optimization, and risk assessment.

6. Healthcare and Medical Imaging

MRI scans and other medical imaging data are high-dimensional by nature and frequently need sophisticated processing. Medical experts can visualize and comprehend complex image data with the help of techniques like PCA and manifold learning. Dimensionality reduction helps discover anomalies, separate tissues, and even identify probable disease signs.

7. Anomaly Detection

Finding abnormalities or outliers in data is essential for security and quality assurance in a variety of businesses. By producing condensed representations of typical data, dimensionality reduction aids in highlighting departures from the norm. In the reduced-dimensional space, anomalies are easily distinguished, which makes detection easier.

8. Enhancing Visualization

Improved data visualization is among the dimensionality reduction's most obvious advantages. Clusters, patterns, and relationships that might not be seen in the original high-dimensional space can be shown using techniques like t-SNE and PCA, which project high-dimensional data into lower-dimensional regions.

Conclusion

Applications for dimension reduction can be found in a wide range of fields, including banking, healthcare, natural language processing, image analysis, and more. These methodologies enable us to investigate data in novel ways, derive significant insights, and arrive at well-informed judgments. Keep in mind that the process of applying dimensionality reduction to your work entails trial and error. Through a comprehensive comprehension of the methodologies' advantages and disadvantages and a strategic alignment with your goals, you can reveal latent patterns, streamline intricate data, and unleash inventive potential in your data-driven pursuits. Another way to enhance the effectiveness of a machine learning model is to prepare the data using dimensionality reduction. You can include more machine learning-related data preparation processes into your business objectives with the help of Brigita AI ML services.

[glitter-stained]

Are the people who keep complaining that jason got away with what he did completely unscathed actually okay? Like, did we read the same comics? There's extremely little I can think of that didn't happen to Jason as "punishment"

like why are the people who want him to be punished forever not happy he is already getting punished forever what else do you want

[sparrowlucero]

man, sorry people are so weird in your asks. Love your creature designs, which are you the most proud of?

the one I probably like the most right now is currently under NDA, hopefully I can share it soon. It's a horse. Of stuff I can share, I really like how the scriveners from my hourly comic turned out. I think I ended up with a nice balance of my typical "cool bird thing" and something that feels abstract and like it doesn't belong in the real world.

A lot of the early concepts were weird but not quite alien in the way I wanted them to be:

these were the concepts that eventually clicked:

(I also flip flopped between digital and traditional, had it been traditional i thought about cutting the shapes out of the paper so they were just holes in the comic, making them out of newspaper clippings, etc. - The Timekeepers of Eternity was a big influence on the comic in general.)

[eloquentornot]

Just watched the preview at the end of Unleashed, Conrad asking again if things are working, the Rani says they need to move faster and if only the wish baby were old enough to imagine complicated things but she has to work with Conrad instead…

I feel most likely she's working with (or experimenting on) Omega to re-create Gallifrey or something??? I keep coming back to that line about how she wants to bring life...

Ough and that "instead, I've got you..." if the theory that she's going to put the Master gold tooth into Conrad comes true... maybe Rogue can still be the Master if Missy bigenerated so Spymaster became the tooth and Missy became Rogue?

[applebees4prez]

i have so many seasons left to watch of dimension 20 and haven’t even finished the ravening war but. time for a fantasy high rewatch i guess.

[rjalker]

Sigh. If your conception of the Sphere is that he's God or a god you've also massively missed one of the main takeaways from the novel.

Awestruck at the sight of the mysteries of the earth, thus unveiled before my unworthy eye, I said to my Companion, "Behold, I am become as a God. For the wise men in our country say that to see all things, or as they express it, OMNIVIDENCE, is the attribute of God alone."

There was something of scorn in the voice of my Teacher as he made answer: "Is it so indeed? Then the very pick-pockets and cut-throats of my country are to be worshipped by your wise men as being Gods: for there is not one of them that does not see as much as you see now. But trust me, your wise men are wrong."

I. Then is omnividence the attribute of others besides Gods?

SPHERE. I do not know. But, if a pick-pocket or a cut-throat of our country can see everything that is in your country, surely that is no reason why the pick-pocket or cut-throat should be accepted by you as a God. This omnividence, as you call it—it is not a common word in Spaceland—does it make you more just, more merciful, less selfish, more loving? Not in the least. Then how does it make you more divine?

I. "More merciful, more loving!" But these are the qualities of women! And we know that a Circle is a higher Being than a Straight Line, in so far as knowledge and wisdom are more to be esteemed than mere affection.

SPHERE. It is not for me to classify human faculties according to merit. Yet many of the best and wisest in Spaceland think more of the affections than of the understanding, more of your despised Straight Lines than of your belauded Circles. But enough of this. Look yonder. Do you know that building?

____

He is explicitly not a god and scoffs at the idea that Spacelanders are gods or should be treated as such just because they're one dimension higher than Flatlanders. They're just regular people, just lik the narrator is just a regular person who found himself in Lineland. The only difference is that it seems the Sphere made a conscious, informed decision to visit Flatland, while the narrator visited Lineland by accident and had no idea what was going on.

you could also just make up your own original Spacelander if you want a 3D character who acts like they're a God to Flatlanders.

edit:

here's the translation into 2024 English if it's hard to understand the original:

Awestruck by the idea that the secrets of the earth itself were being revealed to me, a simple Square, I said to my Companion, “I have become a God! The wise men in my country have always said that to see all things, which they call Omnividence, is a power only a God can have!”

There was something like scorn in my Teacher’s voice as he answered me with, “Oh, is that so? Then the most criminal thieves and murderers from my country should be worshiped by your ‘wise men’ as Gods, because each of them can see as much as you do right now. But trust me, your ‘wise men’ are wrong.”

Me: Then, is Omnividence a power also given to those who aren’t Gods?

Sphere: I don’t know, but if a thief or a murder from my country can see everything in your country, obviously that’s not a good enough reason to accept them as a God. This ‘Omnividence’, as you call it, does it make you more upstanding, more merciful, less selfish, more loving? It doesn’t. So how does it make you more divine?”

Me: More merciful and loving?! These are the traits of Women! And we know that a Circle is a better Being than a Straight Line, we know that knowledge and wisdom are more important than ‘love’.

Sphere: It’s not my job to to tell you one type of person is better than another. But many of the best and brightest in Spaceland think that kindness and love are more important than knowledge. They are more like the Straight Lines you despise than the Circles you worship. But enough of this, look over there. Do you recognize that building?

[dimension20npcofalltime]

Round One - Bracket Thirteen [Dimension 20 NPC of All Time]

Darren 'Dishless' Quichei vs The Hangman

Descriptions under the cut

Darren 'Dishless' Quichei - He/Him

Campaign: The Ravening War

Who is he?

Darren “Dishless” Quichéi is a noted mercenary hired by the Fellowship of Destiny’s Architects. Darren has been working with the FDA for about fifteen years, taking out numerous problematic high ranking and even royal officials. Quichéi is very well known by his fierce reputation, Colin Provolone in particular hearing many stories of people who had fallen to the man. He also recalls seeing Darren around the Dairy Islands. His work with the Fellowship of Destiny's Architects is not so much about any moralistic integrity, but for the money.

Why is he the NPC of All Time?

He's really just a guy. A mercenary who has no investment in the FDA's cause other than for the money, brings the Saprophian back to the FDA which accidentally kickstarts the plot, ends up being the first to die to Deus Pa'Zuul because of this decision.

Submitted by: @limulusamebocytelysate

The Hangman - He/Him

Campaign: Fantasy High, Dimension 20 LIVE

Who is he?

The Hangman is the infernal motorcycle that Fabian looted from Johnny Spells after his death. The bike is named after William Seacaster's pirate ship of the same name. The hell hound that possess the bike is thousands of years old.

Why is he the NPC of All Time?

"He beefs with an angel who does not care in the slightest. Hes a demon trapped in motorcycle willing to emotionaly support a random teen who killed his previous owner."

Submitted by: @perfectlyzombiedmuffins, @xvynth, @red-dead-reduction and Anonymous

[ouppygirlcity]

GARFIELD EVOLUTIONARY TIMELINE

1976: Proto-Garfield, side-character to Jon

1978: Earliest properly-recognizable Garfield, visual overhaul accompanies syndication and retitle of comic to Garfield

1979: Transitional state between proto-Garfield and 80s Garfield, marketed by increased anthropomorphization and larger, cartoonish expressions, while retaining a realistic body shape

1980-1984: 80s Garfield, facial structure has largely stabilized save for dimensions, noticeable retention of quadrupedal motion in most situations

1985-1992: Emergence of modern Garfield, shift towards predominantly vertical locomotion, expansion of feet, facial structure begins to horizontally compress and vertically extend

1989: [REDACTED]

1993-1999: Continued anthropomorphic shift, separation of head from torso and reduction of belly fat, noticeable

2000-present: stabilization of modern Garfield, head size reduced in final proportion alteration. Jim Davis had divined the final, perfect version of his pop culture homonculus.

...but the end of the road for one man is a broad horizon for the next...

[coffeeworldsasaki]

I can't keep getting away with this*

*Starting shit at random with little to no plan and getting good results

[princesssarisa]

I think a lot of the bad commentary about Little Women comes from people who want to view each of the March sisters as symbols rather than fleshed-out human beings.

We see these reductive views again and again in books and online. Jo (they say) represents unconventionality, independence, and gender-nonconformity. Meg represents traditional domestic femininity. Amy represents the elegant society lady: an aspiring one in Part I, a successful one in Part II. And Beth... well, they disagree, but most often they say that she's either a symbol of perfect goodness (a model for her more flawed sisters to aspire toward, but too good for this earth), of childhood (which is why she "never grows up" and "has to die" when her sisters reach adulthood) or of the "angel in the house" archetype (and therefore "has to die" because that stifling, anti-feminist archetype has to die).

My personal view?

None of the above is true. The March sisters aren't symbols. They're human beings. Louisa May Alcott based them on herself and her own three sisters, who were obviously three-dimensional human beings. The same is true for their fictional counterparts. They all have dimensions and none of them fit into those neat little boxes.

[moiras-damage-orb]

I feel that Phineas and Spahr are one of those relationships where you REALLY need to examine it with shipping goggles off. There's so much there that, if distilled solely to a romantic aspect, I think gets lost in translation. There are so many layers to their relationship - the pseudo-parental dimension, the mentor/mentee situation, Phineas' idolatry of Spahr as a moral paragon, Spahr's guilt towards his failings of Phineas, generational trauma, all of THAT and then the devotion and romantic dimension on top of that? To condense it to just the romantic component feels reductive in a way that does it a disservice. Regardless of the lens you choose to view it, these two are - and have been - the most important person in the other's life. And after an extremely high-stress, near-death situation that has them both reevaluating their entire worldview? i don't necessarily find it unrealistic that in this absolute mess of emotions, that attachment gets manifested into a kiss, but I hardly see that as the be-all and end-all. There's so much more. It's complicated and ridiculously messy but that's what I love about it.

[rebel-sqrrl]

Okay, I've compiled all three surgery posts, and expanded on them a bit. The final results:

Sabah: top surgery. Straightforward breast reduction, for gender reasons

Taylor: middle and bottom surgery. Canon. She got fucking cut in half

Brian: middle surgery. Canon. Poor guy

Lisa: top surgery. Helps her(?) pass as a guy for espionage purposes. Possibly a gender thing too

Coil: top and bottom surgery. Gets rid of his dick to make his costume a touch less weird. Gets huge tits because he realized he liked the stares actually

Circus: top and bottom surgery. Comically large breast implants, and a form of bottom surgery that violates both national and international law

Faultline: top surgery. Makes her more aerodynamic, and lets her move 1.2% faster

Newter: top surgery. For autogynephilia reasons

Gregor: bottom surgery. He got the surgery that gives you a snail dick, as part of his transition

Riley: middle surgery. She's got all sorts of doodads in there

Lizardtail: middle surgery. He's donated 86 kidneys and counting

Saint: bottom surgery. For private religious reasons

Missy: top surgery. Between Hookwolf and March, she didn't have much choice. Decided to just get rid of what was left

Dennis: top surgery. Lost a bet, got huge tits out of it

Colin: middle and bottom surgery. Canon (mostly). Replaces his organs with cybernetic versions. Replaces his dick with a charging port

Dragon: bottom surgery. Replaces her humansuit's primary charging port with Colin's dick

Battery: bottom surgery. To force the Protectorate to give her a more concealing costume. And to peg Ethan

Weld: bottom surgery. Adjusts his dick as necessary for aesthetic purposes

Chastity: top surgery. Yeets his tits when he transitions

Darlene: middle surgery. Would get top surgery when he gets older and transitions, except he's flat as a board. Lets Kenzie install a bunch of hardware in him because Aiden thought it'd be neat

Kenzie: middle surgery. Like Darlene, has a bunch of hardware in her gut, because even phasing things into other dimensions she ran out of room in her head

Sveta: bottom surgery. Canon. Good for her

Cryptid: middle surgery. He's always doing weird shit

Nate: top, middle, and bottom surgery. Used his power to fully transition, and add all sorts of special features (I originally forgot to include him in the top surgery post, but I'm adding it here)

Felicia: top surgery. Breast reduction

[theraprism]

Class subtext thoughts on Gatsby, Flatland, and Bill.

So broadly speaking, we've had some idea of what Bill's home dimension was like since the 2015 in-character AMA, when the idea that it was nearly (if not fully) identical to the world of Flatland was first introduced. During the Weirdmaggedon 4-parter, we finally learned that Bill had obliterated his home dimension and called it liberation. (From what I recall the fan concensus on this information was that it was a malicious act of evil on Bill's part -- up until the Book's release, I don't think the idea that it was a tragedy or accident ever had much ground to stand on.) Journal 3 picked up on this again when it established the existence of Exwhylia, which (importantly!) also reinforced the hierarchical nature of existence that Flatland presents.

I'll own up to the fact I've never read Flatland myself (it is on the neverending list of classics that I still haven't gotten to yet) and will be instead be relying mainly on Wikipedia and Sparknotes clones for this analysis, but the good news is that canon Gravity Falls materials have given us the basics of how Bill's home dimension operated at this point, and so knowledge of the work seems less required and moreso recommended. Similarly to Gatsby (the book as well as the character). More on that later.

To be more specific, the important info that Hirsch has given us about Euclydia is that it was repressive in the extreme. The exact ways that it maintained this are left up to the imagination, to an extent (e.g. there is no evidence of the upper echelons of Euclydia carrying out public executions against the lower classes, as there are in Flatland), but the Book does directly pull an image from Flatland that illustrates the class hierarchy there.

Since Flatland was written originally as a satire of the stratification in Victorian society, the work goes to great lengths to specify and elaborate on the different social roles of each shape (for example, women as lines, though the gender stratification isn't relevant in Bill's case). More relevant is the way that the work considers upward mobility through generations, and the fact that isoceles triangles (working class) are considered among the lowest beings in existence, just above irregular shapes. Bill has been referred to and drawn inconsistently as both isoceles and equilateral, but based on what we learn from Exwhylia in Journal 3, it's possible that this distinction is not relevant in the GF multiverse's reinterpretation of Flatland. See:

I'm sure a part of this reduction of the hierarchy in the original Flatland has to do with the work needing to be at least somewhat accessible to younger readers, but it does textually ensure that, regardless of the specific details of Bill's geometry, he comes from a background where, in spite of his exceptional ability to see the third dimension, he saw those around him receive resources more freely. His singling out of irregular quadrilaterals reads to me as a form of internalized classism; he needs someone to punch down to.

And earlier:

He describes his regular shape as an out-and-out "power". Bill explicitly carries with him the classist ideals and values of his home dimension despite its destruction. The way he internalizes different ideas about himself and who he is is probably a subject for another post, but the point is that these qualities Bill is emphasizing aren't simply a matter of arrogance. Bill is trying to sell himself as a gentleman, a respectable individual from an upper-middle class position.

This is where Gatsby becomes relevant, because The Great Gatsby is all about a man who wants more than anything to cross the threshold of inborn greatness and become a true upperclassman. Bill appealing to his innate biological qualities as evidence for his own greatness relates back to the notion that such greatness is an ontological trait which cannot be given, but can also not be taken away. Note what he explicitly says here about the themes of class in Gatsby:

If you walk up to any college English professor and ask them what Gatsby has to say about the American Dream, I really do not think you are going to hear them say the word "bittersweet". The American Dream is a false idol and illusion; Gatsby himself is utterly miserable and meets a miserable end. There is nothing "sweet" about it.

At the same time, it makes sense that Bill would describe it as bittersweet, because for all his powers of sight, Bill cannot imagine a future where he is happy. Throwing crazy parties every night (for Gatsby at his home, for Bill on the Earth's remains), staring at an unreachable desire far out in the distance -- that's his end goal. He emerged from a position where he was repressed and since then his life has been a steady climb/crawl in the direction of power and control. Both Gatsby and Bill seek to reclaim a lost sense of fulfillment and purpose through this ascent, and both seek to become untouchable as gods are, but both are brought down in the end due to the consequences of their own actions, stemming directly from the violence they bring into their worlds of their own volition. In case you've forgotten, or if you've never read it, Gatsby's money is not clean. We may not see Bill use money, but his social currency is not clean either.

I think it's telling that Flatland can be understood as it relates to Bill's character through summary, but with Gatsby, there is so much subtle incentive to actually read the thing. From the GIF originally posted by Hirsch that I included at the top of the post to the PDF link on ThisIsNotAWebsiteDotCom.com to the fact that the gag in the Book itself goes on for multiple pages when it could have ended after one or two, the intertextuality is paramount. I think that's really cool. It's rare to see intertextuality this well-considered in genre fiction, and I think it makes the whole analytical process more fun.

[notdefendingtaylor]

my big brain take lmao:

taylor using her feminism in such a reductive and narrow way has calculably damaged people's ability to see nuance other than gender. she called misogyny over poor business deals (using language of consent about her masters situation which was industry standard and had been through renegotiations SHE walked away from), in a song saying if she were a man she could basically behave really badly and get lauded for it (ok? do we want that? do we see that as aspirational?), and for people commenting on her dating history, which is deeply baked into her lore and discography. has she faced misogyny? yes of course. but when the feminism starts and ends with womanhood by itself, we miss an entire gradient of other features to one's existence. race, age, sexuality, genders that include femininity without being exclusively and only female, SOCIOECONOMIC CLASS (don't miss this one!!!), mental health status, even colorism within race can be a factor for privilege. identity and femininity are infinitely complex. but the conversation has always been, with her, 'men wouldn't go through X problem I do.' ok. a black, or disabled, or trans woman would go through all of the problems tay faces, plus a whole other dimension of oppression. add a lower socioeconomic class experience and it compounds each and every problem. inability to pay for medical care for gender dysphoria is an economic hurdle she doesn't face. affording quality schooling in an underesourced school district is certainly not something she faced. she didn't have to choose between pursuing her dreams and career or helping her household financially through immediate low wage workforce participation. of course she worked her tail off to get where she was, but she had a certain number of factors on her side that tend to lead to success outcomes. she is more than her gender. she is a billionaire descended from three gens of bank presidents. but the discourse surrounding her has been very successful at changing the narratives around what feminism really is. it should be a reflection of social realities that extend far beyond gender only. that's intersectional feminism, and in a world of oligarchs, it's more important than ever before.

[peppershark]

Nicholas Galitzine as Tom Riddle

I will die on the #thicklipsTomRiddle hill, and it’s why I think Nick G is an ideal choice to play Tom Riddle.

Here is why:

A lot of TMR art and fandom face claims have Tom looking nearly like a villain already with over-the-top sharpness to his features and a shadowy, shifty look. I love it, honestly. So hot.

But there’s also a solid argument to be made that Head Boy Tom Riddle would have to have the golden retriever innocence of someone like Nicholas Galitzine. Allow me to explain.

Based on the description in The Chamber of Secrets of the Ministry of Magic’s inquiry into Moaning Myrtle’s death, Tom wasn’t even noticed as a suspicious character (except by Dumbledore) because he was held in such high esteem by his teachers and classmates. To have this level of automatic deniability, Tom needed a top-ranking academic record, an irreproachable reputation, plus—and this is my argument—an innocent face.

I find David Kibbe’s 1987 body categorization scheme problematic in general, but for the sake of this conversation, describing “sharpness” (yang) in features, and “softness” (yin) can help us explain how some faces might have a certain level of ‘innocence privilege’.

Kibbe associates certain “soft” features like bigger lips, bigger cheeks (regardless of weight) and other more “romantic” body dimensions with “yin” energy, the “light”, gentle and feminine side, or white on the Chinese yinyang symbol. On the opposite end of the spectrum, Kibbe associates sharp, prominent-boned features with “yang” energy, the “dramatic”, intense, masculine side.

According to Kibbe, everyone has a combination of these features. I know, it’s very reductive, and an overly-simplistic reduction of the Chinese yinyang model. I bring this up, though, because Kibbe’s presuppositions likely overlap with how Hollywood has conditioned us to interpret these facial archetypes; for example, we see lots of representations of young TMR with very angular cheekbones, gaunt cheeks and dramatic features. He’s often interpreted as a “dramatic” Kibbe type, the side with the highest concentration of “yang”.

Considering Tom’s situation, however, it makes more sense to cast him as a young man as someone with a lot more “yin” in his features. Snakeface Voldemort is his villain era and that’s pure yang: dramatic, angular, sharp, and snakey.

So as a younger man, I imagine he would have to employ more “innocent” features. When you consider that Tom was viewed as more innocent than Hagrid—who is the *actual* golden retriever of the Harry Potter series—you have to assume that Tom not only seemed less shady in a circumstantial evidence stance, but he actually must have outperformed Hagrid in some of his genial, “yin” features.

This is why I love Nick Galitzine’s look for Tom. My eye types Nick as a “soft dramatic” Kibbe Type which underneath is a dramatic body frame of very sharp angles, but covered in softer contours of body shape and more “yin” features like big eyes and big lips. It’s a metaphor for Tom’s dark, ambitious energy covered in a winsome, innocent-looking softness.

Nick serves a lot of shady, mysterious energy in his expressions, but the lovely fullness in his lips, big eyes and slightly-soft cheeks counters his darkness.

Nick looks like a prince, like his role in RW&RB (2022) or the high school quarterback like his role in Bottoms (2023) or the gorgeous Jacobean fuckboy for King James in George and Mary (2024). All archetypes I think TMR employs to get ahead in a wizarding world where he’s the half-blood Heir of Slytherin who grew up in an orphanage but clawed his way to the top. Nick G’s look in general is a great example of how I imagine TMR would combine features, displaying the dynamic of his character.

Do you think Nick G makes a convincing Tom Riddle?

[apparently-artless]

sorry to bother but I was wondering how you make your gifs so smooth and get rid of pixelation?

Hi, anon! Sorry for the late reply! And no worries, you're not being a bother at all. ^^

Regarding your question, these are some of the tips I can give which I typically do on my GIFs:

Use video sources with higher resolution

In all honesty, I am not doing that much to make my edits look smooth and HD. I just always make sure to download videos that are not less than 720p. I typically download 1080p but 720p would suffice since the suggested width for images here on Tumblr is 540p.

Use good editing apps

I use Photoshop which is a good app but if you're not using this, you may use Photopea (this is like an online version of PS). There was a time when I didn't have a PC and I tried making GIFs on my mobile phone but even when I'm using high-resolution videos, the output was not as good when making it on PS. I also used Photoscape before. This was my first app when I was still starting making GIFs and oh boy, the quality is just... XD Anyway, PS is good with the compression of images when you're saving the frames as GIFs even when resizing the file to a smaller scale.

Maintain the original size until the export

I've seen tutorials where they are already adjusting the size at the beginning of their edit. I personally don't do this because this contributes to the reduction of the quality of your GIFs. And if I want to crop (because I want a different width and height compared to the original), I will see to it that the height is the same with the original (only the width will change).

Take a look at this example:

This is a 1920p x 1080p image but I wanted to crop it to a 400 x 540 aspect ratio. What I would do is after cropping the image, I would resize the image to make the height 1080p again.

After cropping, this is now the dimensions of the image:

Then I will revert the height back to 1080p (the value of the width doesn't matter):

Of course, 1080p is just my preferred resolution. You can select a lower resolution but not lower than the original image or the final size of your GIF.

As you can see, even without further editing, the image already looks good and does not appear to be pixilated. Then after cropping, I will apply my coloring. If I save this as it is using 540p width, this is how the GIF's gonna look like.

As you can see, there is almost no difference between the 540p (width) gif and the 1080p (height) image. That's because I only resized the image during export and not in the middle of editing.

Use sharpening tools to make your GIFs look HD

The key to fooling the eyes is to make them look in a different direction. XD So what do I mean by this? Like I said, I'm not doing that much to remove pixelations from my edits. I just make it so people will focus on other stuff. If you don't want them to focus on the pixels, let them focus on the line art.

Just a reminder that this last tip is only applicable to anime GIFs.

In my case, I always start with frame animations, then later on convert to a video timeline. And then I will convert the frames to a single smart object so I can apply filters to all the frames at the same time.

These are the steps I do when I sharpen my GIFs.

Apply SMART SHARPEN. (Filter > Sharpen > Smart Sharpen)

These are my preferred settings but you can also explore your own.

[Comparison of GIF without sharpening filter and with sharpening filter]

2. Apply POSTER EDGES filter. (Filter > Filter Gallery > Artistic > Poster Edges)

These are my settings. You can adjust the Edge Thickness if you want to have thicker art lines. As for Edge Intensity, it's better to set it to zero to avoid adding unnecessary details to the shadows of your image.

[Comparison of GIF without sharpening filter and with sharpening filter]

3. Apply POSTER EDGES again.

This is an optional step. I typically use this whenever I want the art lines to be thicker. I use the same settings in the second step.

[Comparison of GIF without sharpening filter and with sharpening filter]

And that's about it! I hope this helps! By the way, this is just my own way of sharpening my GIFs. If you're not using PS or Photopea, you might want to check other tutorials that are specific to the app that you are using.