#factorization — Public Fediverse posts

Breaking the #Factorization #Barrier : Medium

This state’s #Power #Prices are #Plummeting as it nears 100% #Renewables : New Sci

Why ‘activating’ your vagus nerve has become the latest wellness trend : Misc

Latest #KnowledgeLinks

https://knowledgezone.co.in/resources/bookmarks

Riffs and Rotes • Happy New Year 2026
• https://inquiryintoinquiry.com/2026/01/01/riffs-and-rotes-happy-new-year-2026/

There's a deep mathematical significance I see in the following structures, and I'm hoping one day to find a way to explain all the things I see there. Meanwhile, you may take them as an amusing diversion in recreational maths.

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \begin{array}{llcl}
\text{Then} & 2026 & = & 2 \cdot 1013
\\
&& = & p_1 p_{170}
\\
&& = & p_1 p_{2 \cdot 5 \cdot 17}
\\
&& = & p_1 p_{p_1 p_3 p_7}
\\
&& = & p_1 p_{p_1 p_{p_2} p_{p_4}}
\\
&& = & p_1 p_{p_1 p_{p_{p_1}} p_{p_{{p_1}^{p_1}}}}
\end{array} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2026 = p p_{p p_{p_p} p_{p_{p^p}}} \]

The article linked below tells how forms of that order correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”.

The riff and rote for 2026 are shown in the next two Figures.

Riff 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/riff-2026-card.png

Rote 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/rote-2026-card.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

cc: https://www.academia.edu/community/VBA6Qz
cc: https://www.researchgate.net/post/Riffs_and_Rotes_Happy_New_Year_2026

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2026
• https://inquiryintoinquiry.com/2026/01/01/riffs-and-rotes-happy-new-year-2026/

There's a deep mathematical significance I see in the following structures, and I'm hoping one day to find a way to explain all the things I see there. Meanwhile, you may take them as an amusing diversion in recreational maths.

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \begin{array}{llcl}
\text{Then} & 2026 & = & 2 \cdot 1013
\\
&& = & p_1 p_{170}
\\
&& = & p_1 p_{2 \cdot 5 \cdot 17}
\\
&& = & p_1 p_{p_1 p_3 p_7}
\\
&& = & p_1 p_{p_1 p_{p_2} p_{p_4}}
\\
&& = & p_1 p_{p_1 p_{p_{p_1}} p_{p_{{p_1}^{p_1}}}}
\end{array} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2026 = p p_{p p_{p_p} p_{p_{p^p}}} \]

The article linked below tells how forms of that order correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”.

The riff and rote for 2026 are shown in the next two Figures.

Riff 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/riff-2026-card.png

Rote 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/rote-2026-card.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

cc: https://www.academia.edu/community/VBA6Qz
cc: https://www.researchgate.net/post/Riffs_and_Rotes_Happy_New_Year_2026

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2026
• https://inquiryintoinquiry.com/2026/01/01/riffs-and-rotes-happy-new-year-2026/

There's a deep mathematical significance I see in the following structures, and I'm hoping one day to find a way to explain all the things I see there. Meanwhile, you may take them as an amusing diversion in recreational maths.

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \begin{array}{llcl}
\text{Then} & 2026 & = & 2 \cdot 1013
\\
&& = & p_1 p_{170}
\\
&& = & p_1 p_{2 \cdot 5 \cdot 17}
\\
&& = & p_1 p_{p_1 p_3 p_7}
\\
&& = & p_1 p_{p_1 p_{p_2} p_{p_4}}
\\
&& = & p_1 p_{p_1 p_{p_{p_1}} p_{p_{{p_1}^{p_1}}}}
\end{array} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2026 = p p_{p p_{p_p} p_{p_{p^p}}} \]

The article linked below tells how forms of that order correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”.

The riff and rote for 2026 are shown in the next two Figures.

Riff 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/riff-2026-card.png

Rote 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/rote-2026-card.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

cc: https://www.academia.edu/community/VBA6Qz
cc: https://www.researchgate.net/post/Riffs_and_Rotes_Happy_New_Year_2026

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2026
• https://inquiryintoinquiry.com/2026/01/01/riffs-and-rotes-happy-new-year-2026/

There's a deep mathematical significance I see in the following structures, and I'm hoping one day to find a way to explain all the things I see there. Meanwhile, you may take them as an amusing diversion in recreational maths.

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \begin{array}{llcl}
\text{Then} & 2026 & = & 2 \cdot 1013
\\
&& = & p_1 p_{170}
\\
&& = & p_1 p_{2 \cdot 5 \cdot 17}
\\
&& = & p_1 p_{p_1 p_3 p_7}
\\
&& = & p_1 p_{p_1 p_{p_2} p_{p_4}}
\\
&& = & p_1 p_{p_1 p_{p_{p_1}} p_{p_{{p_1}^{p_1}}}}
\end{array} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2026 = p p_{p p_{p_p} p_{p_{p^p}}} \]

The article linked below tells how forms of that order correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”.

The riff and rote for 2026 are shown in the next two Figures.

Riff 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/riff-2026-card.png

Rote 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/rote-2026-card.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

cc: https://www.academia.edu/community/VBA6Qz
cc: https://www.researchgate.net/post/Riffs_and_Rotes_Happy_New_Year_2026

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2026
• https://inquiryintoinquiry.com/2026/01/01/riffs-and-rotes-happy-new-year-2026/

There's a deep mathematical significance I see in the following structures, and I'm hoping one day to find a way to explain all the things I see there. Meanwhile, you may take them as an amusing diversion in recreational maths.

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \begin{array}{llcl}
\text{Then} & 2026 & = & 2 \cdot 1013
\\
&& = & p_1 p_{170}
\\
&& = & p_1 p_{2 \cdot 5 \cdot 17}
\\
&& = & p_1 p_{p_1 p_3 p_7}
\\
&& = & p_1 p_{p_1 p_{p_2} p_{p_4}}
\\
&& = & p_1 p_{p_1 p_{p_{p_1}} p_{p_{{p_1}^{p_1}}}}
\end{array} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2026 = p p_{p p_{p_p} p_{p_{p^p}}} \]

The article linked below tells how forms of that order correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”.

The riff and rote for 2026 are shown in the next two Figures.

Riff 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/riff-2026-card.png

Rote 2026
• https://inquiryintoinquiry.com/wp-content/uploads/2026/01/rote-2026-card.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

cc: https://www.academia.edu/community/VBA6Qz
cc: https://www.researchgate.net/post/Riffs_and_Rotes_Happy_New_Year_2026

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

More #quantum computer #factorization fun:

https://www.johndcook.com/blog/2025/09/28/extrapolating-quantum-factoring/

If we extrapolate from the two points we have, factoring '15' in 2001 and '21' (kind of) in 2012, and would like to be able to factorize a 1024 bit number in 2035, we should be able to factorize 40 bit numbers now. Which we don't.

The author proposes to add new data points as they come in. I'm looking forward to that :)

LOL

"In this paper we showed how to replicate current quantum factorisation records using first a VIC-20 8-bit home computer from 1981, then an abacus, and finally a dog....[W]e rank a VIC-20 above an abacus, an abacus above a dog, and a dog above a quantum factorisation physics experiment. Finally, we provided standard evaluation criteria for future claimed quantum factorisations."

#physics #vic20 #factorization #quantumbullshit #quantumcomputing #funny #dogs #abacus

https://eprint.iacr.org/2025/1237.pdf

> Researchers claim to have used a #quantumComputer to factor a 2,048-bit #RSA integer.

> But the RSA number evaluated was the product of two prime factors that were too close together.

> As with a parlor magician's card deck that's been stacked for a card trick

> #Quantum #factorization is performed using sleight-of-hand numbers that have been selected to make them very easy to factorize using a #physics experiment

https://www.theregister.com/2025/07/17/quantum_cryptanalysis_criticism/

#quantumComputing #computerScience #cryptography

One day, one decomposition
A000028: Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A000028.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A000028.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A000028.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #factorization #PrimeNumbers #binary #expansions #graph #threejs #webGL

One day, one decomposition
A276078: Numbers n in whose prime factorization no exponent of any prime(k) exceeds k

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A276078.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A276078.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A276078.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #factorization #exponent #primes #PrimeNumbers #graph #threejs #webGL

One day, one decomposition
A260047: Composites whose prime factorization in base 3 is an anagram of the number in base 3

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A260047.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A260047.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A260047.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #anagram #graph #threejs #webGL

One day, one decomposition
A260046: Composites whose prime factorization in base 2 is an anagram of the number in base 2

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A260046.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A260046.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A260046.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #composites #prime #factorization #anagram #graph #threejs #webGL

A first successful factorization of RSA-2048 integer by D-Wave quantum computer

https://www.sciopen.com/article/10.26599/TST.2024.9010028

#HackerNews #quantumcomputing #RSA2048 #DWave #factorization #cybersecurity #technews

One day, one decomposition
A242414: Numbers whose prime factorization viewed as a tuple of nonzero powers is palindromic

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A242414.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A242414.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #palindromic #graph #threejs #webGL

One day, one decomposition
A212168: Numbers n such that the maximal exponent in its prime factorization is less than the number of positive exponents (A051903(n) < A001221(n))

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A212168.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A212168.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #exponent #prime #factorization #PrimeNumbers #graph #threejs #webGL

One day, one decomposition
A212166: Numbers k such that the maximum exponent in its prime factorization equals the number of positive exponents (A051903(k) = A001221(k))

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A212166.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A212166.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #exponent #prime #factorization #graph #threejs #webGL

One day, one decomposition
A212165: Numbers k such that the maximum exponent in its prime factorization is not less than the number of positive exponents (A051903(k) >= A001221(k))

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A212165.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A212165.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #exponent #prime #factorization #graph #threejs #webGL

One day, one decomposition
A212164: Numbers k such that the maximum exponent in its prime factorization is greater than the number of positive exponents (A051903(k) > A001221(k))

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A212164.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A212164.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #exponent #prime #factorization #graph #threejs #webGL

'Guaranteed Nonconvex Factorization Approach for Tensor Train Recovery', by Zhen Qin, Michael B. Wakin, Zhihui Zhu.

http://jmlr.org/papers/v25/24-0029.html

#tensor #tensors #factorization

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

'Triple Component Matrix Factorization: Untangling Global, Local, and Noisy Components', by Naichen Shi, Salar Fattahi, Raed Al Kontar.

http://jmlr.org/papers/v25/24-0400.html

#minimization #factorization #sparse

'Triple Component Matrix Factorization: Untangling Global, Local, and Noisy Components', by Naichen Shi, Salar Fattahi, Raed Al Kontar.

http://jmlr.org/papers/v25/24-0400.html

#minimization #factorization #sparse

'Triple Component Matrix Factorization: Untangling Global, Local, and Noisy Components', by Naichen Shi, Salar Fattahi, Raed Al Kontar.

http://jmlr.org/papers/v25/24-0400.html

#minimization #factorization #sparse

'Triple Component Matrix Factorization: Untangling Global, Local, and Noisy Components', by Naichen Shi, Salar Fattahi, Raed Al Kontar.

http://jmlr.org/papers/v25/24-0400.html

#minimization #factorization #sparse

'Triple Component Matrix Factorization: Untangling Global, Local, and Noisy Components', by Naichen Shi, Salar Fattahi, Raed Al Kontar.

http://jmlr.org/papers/v25/24-0400.html

#minimization #factorization #sparse

One day, one decomposition
A130091: Numbers having in their canonical prime factorization mutually distinct exponents

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A130091.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A130091.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #distinct #exponents #graph #threejs #webGL

One day, one decomposition
A073493: Numbers having exactly one prime gap in their factorization

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A073493.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A073493.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #gap #factorization #graph #threejs #webGL

One day, one decomposition
A073492: Numbers having at least one prime gap in their factorization

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A073492.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A073492.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #gap #factorization #graph #threejs #webGL

'Scale Invariant Power Iteration', by Cheolmin Kim, Youngseok Kim, Diego Klabjan.

http://jmlr.org/papers/v24/19-784.html

#factorization #optimization #algorithms

'Multi-source Learning via Completion of Block-wise Overlapping Noisy Matrices', by Doudou Zhou, Tianxi Cai, Junwei Lu.

http://jmlr.org/papers/v24/22-0642.html

#embeddings #embedding #factorization

We are happy to announce that a new thematic programme with 5 focus weeks just got started at
@ESIVienna
! 🥳 Check out the details below ⏬

📅 31st July - 1st September 2023 📅
📌 Schrödinger Lecture Hall 📌

▫️ Programme description ▫️
http://www.esi.ac.at/events/e476/

📚 Subject: #QuantumFieldTheory at the Frontiers of the #StrongInteraction
📓Week 1: Finite-Mass and #Electroweak Effects in #gaugetheories
📕 Week 2: #Singularity Structure of Quantum Field Theory Beyond the Leading Power
📗 Week 3: #Factorization Violation and the #Space of Universal Functions
📘 Week 4: Simulation of the All Order Structure of Scattering Amplitudes
📙 Week 5: Multi-Variable Techniques for All Order Resummations in QFT

(see the motion picture at https://twitter.com/ESIVienna/status/1686002264878530561)

@univienna

'Prior Specification for Bayesian Matrix Factorization via Prior Predictive Matching', by Eliezer de Souza da Silva, Tomasz Kuśmierczyk, Marcelo Hartmann, Arto Klami.

http://jmlr.org/papers/v24/21-0623.html

#factorization #hyperparameters #priors

One day, one decomposition
A130091: Numbers having in their canonical prime factorization mutually distinct exponents

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A130091.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A130091.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #distinct #exponents #graph #threejs #webGL

One day, one decomposition
A130091: Numbers having in their canonical prime factorization mutually distinct exponents

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A130091.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A130091.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #distinct #exponents #graph #threejs #webGL

One day, one decomposition
A130091: Numbers having in their canonical prime factorization mutually distinct exponents

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A130091.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A130091.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #distinct #exponents #graph #threejs #webGL

One day, one decomposition
A130091: Numbers having in their canonical prime factorization mutually distinct exponents

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A130091.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A130091.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factorization #distinct #exponents #graph #threejs #webGL