Single vs Multi-hand Attention by hand ✍️ Resize matrices... yourself 👉 The most important fact about multi-head attention: it has the same parameter count as single-head attention. The difference is purely structural — same total Wqkv weights, partitioned into smaller q–k–v triples. Look at the two diagrams below. Both Wqkv matrices have the same height — same number of weight rows, same number of parameters. What changes is how that single tall block is sliced. • Left. One head. The full Wqkv produces one big QKV: a tall Q (36 rows), a tall K, a tall V. One scoring computation runs over those full-width tensors. • Right. 3 heads. The same-height Wqkv is sliced into 3 smaller q–k–v triples — each 12 rows tall. 3 scoring computations run in parallel, each a thinner version of the left. The compute trade-off — kind of. Same Wqkv weights. Multi-head runs the attention scoring S = Kᵀ × Q once per head, so the dot-product count multiplies by H. • Single-head: seq × seq = 40² = 1600 dot products • Multi-head: seq × seq × H = 40² × 3 = 4800 dot products (3×) But each multi-head dot product is narrower — its inner dimension is head_dim instead of H × head_dim. So when you count actual scalar multiplications, the totals are equal: • Single-head: seq² × (H × head_dim) = 40² × 36 = 57600 • Multi-head: seq² × H × head_dim = 40² × 3 × 12 = 57600 Same FLOPs. Multi-head buys you H independent attention patterns at no extra weight cost and no extra arithmetic cost — it's the same total compute, sliced into H finer-grained heads.show more

Self Attention vs Cross Attention by hand ✍️ Resize... the matrices yourself 👉 Two attention mechanisms, side by side. Both project X into queries; both compute attention via S = Kᵀ × Q and F = V × A. The only difference is the source of K and V. Self attention uses X for everything. Q, K, and V all come from projecting X. Each X token attends to every other X token. The score matrix S is square — 128 × 128. Cross attention uses X for queries and a second sequence E for keys and values. Each X token attends to every E token instead. The score matrix S is rectangular — 64 × 128. Notice what's shared and what's not: X is the same in both — same 36 × 128 input. Q and K share the 16 dimension — that's what makes the dot product Kᵀ × Q valid in either case. V dimensions are independent: self-attention uses 12, cross-attention uses 12. The choice doesn't depend on which mechanism you're using; it depends on what output dimension your downstream layer expects.show more

Transformer: Multi-Head Attention ~ Math vs Code 🔢💻 ~... I made this visualization to show you how to implement the multi-head attention math in PyTorch within 50 LoC. Multi-Head Attention is what makes the Transformer's performance outstanding. It captures and represents more diverse linguistic relationships and patterns, and attends to different learned input embedding spaces. The parallel computing design also makes the model more efficient.show more

AlphaFold by hand✍️ Excel ~ I designed this exercise... to show (1) MSA multi-head attention, (2) Pair triangular update, two key components of the EvoFormer architecture.👇Join the AI Math community. Download xlsx.show more

Multi: come to poland FNG: Pay my flight Multi:... Funny News Guy, you are the same as Quackity this is kurwa crazy he said the same thing #qsmp2show more

German Gref, the head of the Russian state banking... giant Sberbank: "I think we are all concerned about the same thing. I don't believe there is a single person in the country who has any other concern aside from the swift conclusion of military hostilities; that is obvious."show more

🚨 Smart Resize is now live on fal. A... multi-model pipeline, that takes any image + the dimensions you want and returns the same image at pixel-perfect size even when the aspect ratio changes. One endpoint. Any aspect. Same image, new dimensions.show more

Nizam Mamode: "We saw a number of children with... sniper injuries to the head, single shot to the head, no other injuries, so clearly deliberately targeted by Israeli snipers." November 2024show more

Crazy how did Rohit pull that 147km/h, head height... tracer bullet into the stands with such ease😭show more

.NASCAR is interested in the potential of turning NASCARSanDiego... into a multi-year event but will hold discussions about the topic after this weekend, per people familiar. ➡️ IndyCar is looking at the potential of doing the same with the upcoming Washington D.C. race.show more

“If you trace up Masonry through all its Orders... till you come to the grand tip-top head Mason of the World—you will discover that the head individual and the Chief of the Society of Jesus [i.e. the Superior General of the Jesuit Order] are one and the same person” - James Partonshow more

BITCOIN MAY BE BUILDING THE SETUP OF THE CYCLE.... A multi-year inverse head & shoulders. Years of accumulation compressed into one structure. If the neckline breaks… the expansion could be violent. Big structures create big moves.show more

SHOT IN THE HEAD. Many say leave the Iranian... regime alone. But what do you say to the mother whose son was shot in the head by that same regime? It doesn’t just export terror abroad, it oppresses at home.show more

One of the most uplifting rock songs of the... early 70s came from a band formed after The Zombies broke up. But did you know "Hold Your Head Up" was built around themes of confidence, perseverance, and resilience? "Hold Your Head Up" was recorded by Argent, led by Rod Argent, the same musician behind "She’s Not There," "Tell Her No," and "Time of the Season." Released in 1971, it became Argent’s biggest hit and turned into an anthem about standing tall and refusing to let the world drag you down. Skip or listen to this one?show more

World's biggest snake is discovered in the Amazon rainforest:... Huge anaconda measures 26ft-long and weighs 440lbs - and its head is the same size as a human'sshow more

but na the same burnaboy slap ur head now😭

In the refuge of Shiva, no harm can touch... you.💫 S H I V S H A K T I Steadfast as Shiva, prevailing over darkness.🔱 S H I V 🪔 S H A K T I Fear nothing when the Creator walks with you.🔱 S H I V 🪔 S H A K T I The universe moves at Mahadev's will.🔱 S H I V 🪔 S H A K T I Inner peace begins with Bholenath.🔱 S H I V 🪔 S H A K T I Let your faith in Mahadev be stronger than your fears.🔱 S H I V 🪔 S H A K T I 🔱 Grok HAR HAR MAHADEV 🔱 The destroyer of evil, the ultimate protector.show more

High school girls remember….when someone tells you that you... only need to play one sport, the head coach of the best volleyball team in the land won ✌🏽 basketball 🏀 championships in high school in the same gym she will now coach volleyball 🏐 in daily! Being a multi sport athlete is important for your development as an athlete, you’ll make memories that last a lifetime, and you’ll be a big part of your community! #nebprepsshow more

It's not very refined yet but Dizzy has a... new unreactable left right with k~h fish that gives wings and refreezes without having to jump into the corner! First clip is a crossup and the second clip is same side. #ggst_dishow more

Trump talking about North Korean dictator Kim Jong Un... in 2018: “He’s the head of a country, and I mean, he’s the strong head…He speaks, and his people sit up in attention. I want my people to do the same.” When later asked by another reporter to expand on the remark, Trump said he was “kidding.” Does this scare you or is this a quality you want in a future President?show more