See also the paper "Matrix factorizations of the discriminant of S_n" by Eleonore Faber, Colin Ingalls, Simon May, and Marco Talarico, published last year in the Journal of Symbolic Computation.
www.sciencedirect.com/science/arti...
www.sciencedirect.com/science/arti...
Matrix factorizations of the discriminant of S_n
www.sciencedirect.com
November 14, 2025 at 5:50 PM
See also the paper "Matrix factorizations of the discriminant of S_n" by Eleonore Faber, Colin Ingalls, Simon May, and Marco Talarico, published last year in the Journal of Symbolic Computation.
www.sciencedirect.com/science/arti...
www.sciencedirect.com/science/arti...
Eleonore Faber (Leeds) speaking on "Matrix factorizations for discriminants of pseudo-reflection groups" at our #AlgebraicGeometry #Math seminar back in December 2021. #MathSky
Eleonore Faber (Leeds)
Eleonore Faber (Leeds)8 December 2021"Matrix factorizations for discriminants of pseudo-reflection groups"In this talk we will give an introduction to the Mc...
www.youtube.com
November 14, 2025 at 5:50 PM
Eleonore Faber (Leeds) speaking on "Matrix factorizations for discriminants of pseudo-reflection groups" at our #AlgebraicGeometry #Math seminar back in December 2021. #MathSky
bro would not be solving the necessary prime factorizations in order to escape
November 11, 2025 at 5:10 AM
bro would not be solving the necessary prime factorizations in order to escape
Most cursed prime factorizations are 111 = 3 x 37 and 104 = 2 x 2 x 2 x 13.
November 7, 2025 at 10:27 AM
Most cursed prime factorizations are 111 = 3 x 37 and 104 = 2 x 2 x 2 x 13.
Yannis Voet, Leonardo De Novellis: Identifying Kronecker product factorizations https://arxiv.org/abs/2510.25292 https://arxiv.org/pdf/2510.25292 https://arxiv.org/html/2510.25292
October 30, 2025 at 6:39 AM
Yannis Voet, Leonardo De Novellis: Identifying Kronecker product factorizations https://arxiv.org/abs/2510.25292 https://arxiv.org/pdf/2510.25292 https://arxiv.org/html/2510.25292
Yannis Voet, Leonardo De Novellis
Identifying Kronecker product factorizations
https://arxiv.org/abs/2510.25292
Identifying Kronecker product factorizations
https://arxiv.org/abs/2510.25292
October 30, 2025 at 4:22 AM
Yannis Voet, Leonardo De Novellis
Identifying Kronecker product factorizations
https://arxiv.org/abs/2510.25292
Identifying Kronecker product factorizations
https://arxiv.org/abs/2510.25292
📚 New Arxiv Paper
Title: Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
Authors: Laura Selicato, Flavia Esposito, Andersen Ang
Read more: https://arxiv.org/abs/2510.21390
Title: Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
Authors: Laura Selicato, Flavia Esposito, Andersen Ang
Read more: https://arxiv.org/abs/2510.21390
October 27, 2025 at 11:52 AM
📚 New Arxiv Paper
Title: Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
Authors: Laura Selicato, Flavia Esposito, Andersen Ang
Read more: https://arxiv.org/abs/2510.21390
Title: Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
Authors: Laura Selicato, Flavia Esposito, Andersen Ang
Read more: https://arxiv.org/abs/2510.21390
Laura Selicato, Flavia Esposito, Andersen Ang: Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations https://arxiv.org/abs/2510.21390 https://arxiv.org/pdf/2510.21390 https://arxiv.org/html/2510.21390
October 27, 2025 at 6:40 AM
Laura Selicato, Flavia Esposito, Andersen Ang: Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations https://arxiv.org/abs/2510.21390 https://arxiv.org/pdf/2510.21390 https://arxiv.org/html/2510.21390
Laura Selicato, Flavia Esposito, Andersen Ang
Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
https://arxiv.org/abs/2510.21390
Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
https://arxiv.org/abs/2510.21390
October 27, 2025 at 5:17 AM
Laura Selicato, Flavia Esposito, Andersen Ang
Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
https://arxiv.org/abs/2510.21390
Binno: A 1st-order method for Bi-level Nonconvex Nonsmooth Optimization for Matrix Factorizations
https://arxiv.org/abs/2510.21390
Have you read this in full?
The short version, even with those seemingly huge "incredible" factorizations, nobody has done a genuine factorization of any numebr into 2 primes with more than 2 bits of real entropy in the past 20 years. And the biggest *real* experiment was the number 35... and […]
The short version, even with those seemingly huge "incredible" factorizations, nobody has done a genuine factorization of any numebr into 2 primes with more than 2 bits of real entropy in the past 20 years. And the biggest *real* experiment was the number 35... and […]
Original post on momostr.pink
momostr.pink
October 24, 2025 at 2:49 PM
Have you read this in full?
The short version, even with those seemingly huge "incredible" factorizations, nobody has done a genuine factorization of any numebr into 2 primes with more than 2 bits of real entropy in the past 20 years. And the biggest *real* experiment was the number 35... and […]
The short version, even with those seemingly huge "incredible" factorizations, nobody has done a genuine factorization of any numebr into 2 primes with more than 2 bits of real entropy in the past 20 years. And the biggest *real* experiment was the number 35... and […]
Pham Ngoc Anh
The Fox algebra, Localization and factorizations of free polynomials
https://arxiv.org/abs/2510.03429
The Fox algebra, Localization and factorizations of free polynomials
https://arxiv.org/abs/2510.03429
October 7, 2025 at 7:06 AM
Pham Ngoc Anh
The Fox algebra, Localization and factorizations of free polynomials
https://arxiv.org/abs/2510.03429
The Fox algebra, Localization and factorizations of free polynomials
https://arxiv.org/abs/2510.03429
Pham Ngoc Anh: The Fox algebra, Localization and factorizations of free polynomials https://arxiv.org/abs/2510.03429 https://arxiv.org/pdf/2510.03429 https://arxiv.org/html/2510.03429
October 7, 2025 at 6:40 AM
Pham Ngoc Anh: The Fox algebra, Localization and factorizations of free polynomials https://arxiv.org/abs/2510.03429 https://arxiv.org/pdf/2510.03429 https://arxiv.org/html/2510.03429
Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8
#NVIDIA #Int8 #FP64 #Factorization
hgpu.org?p=30278
#NVIDIA #Int8 #FP64 #Factorization
hgpu.org?p=30278
Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8
Mixing precisions for performance has been an ongoing trend as the modern hardware accelerators started including new, and mostly lower-precision, data formats. The advantage of using them is a gre…
hgpu.org
October 5, 2025 at 4:21 PM
Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8
#NVIDIA #Int8 #FP64 #Factorization
hgpu.org?p=30278
#NVIDIA #Int8 #FP64 #Factorization
hgpu.org?p=30278
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
https://www.newsbeep.com/uk/177351/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
https://www.newsbeep.com/uk/177351/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs - United Kingdom News Beep
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer potential performance
www.newsbeep.com
October 3, 2025 at 12:30 PM
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
https://www.newsbeep.com/uk/177351/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
https://www.newsbeep.com/uk/177351/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
https://www.newsbeep.com/ie/59080/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
https://www.newsbeep.com/ie/59080/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs - Ireland News Beep
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer potential performance
www.newsbeep.com
October 3, 2025 at 11:00 AM
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
https://www.newsbeep.com/ie/59080/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
https://www.newsbeep.com/ie/59080/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
https://www.newsbeep.com/au/187257/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
https://www.newsbeep.com/au/187257/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs - Australia News Beep
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer potential performance
www.newsbeep.com
October 3, 2025 at 10:30 AM
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
https://www.newsbeep.com/au/187257/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
https://www.newsbeep.com/au/187257/
The increasing demand for computational power drives exploration of mixed-precision computing, where lower-precision data formats offer …
Decompositional Factorizations with FP64 Emulation in INT8 Demonstrate Performance and Numerical Profiles on Hopper GPUs
Read more:
https://quantumzeitgeist.com/performance-decompositional-factorizations-fp64-emulation-int8-numerical-profiles-hopper/
Read more:
https://quantumzeitgeist.com/performance-decompositional-factorizations-fp64-emulation-int8-numerical-profiles-hopper/
Decompositional Factorizations With FP64 Emulation In INT8 Demonstrate Performance And Numerical Profiles On Hopper GPUs
Researchers demonstrate that emulating high-precision calculations using lower-precision hardware, while offering performance benefits, introduces numerical challenges in solving complex equations, particularly as the scale of the calculations increases on modern graphics processing units.
quantumzeitgeist.com
October 3, 2025 at 10:25 AM
Decompositional Factorizations with FP64 Emulation in INT8 Demonstrate Performance and Numerical Profiles on Hopper GPUs
Read more:
https://quantumzeitgeist.com/performance-decompositional-factorizations-fp64-emulation-int8-numerical-profiles-hopper/
Read more:
https://quantumzeitgeist.com/performance-decompositional-factorizations-fp64-emulation-int8-numerical-profiles-hopper/
I respectfully disagree. The punchline to me seems to be "haha current quantum factorizations are a joke", which is more or less the case especially given the extremely exaggerated headlines. This isn't to say that quantum computing isn't a threat. Perhaps they should have made that point clearer.
October 3, 2025 at 8:48 AM
I respectfully disagree. The punchline to me seems to be "haha current quantum factorizations are a joke", which is more or less the case especially given the extremely exaggerated headlines. This isn't to say that quantum computing isn't a threat. Perhaps they should have made that point clearer.
I had a long period where I tried to find prime factorizations or primality for random numbers, and I still do that when I'm trying to remember page numbers I stopped reading on
For example I had 123 chars left, and that's 3*41
For example I had 123 chars left, and that's 3*41
October 1, 2025 at 2:13 AM
I had a long period where I tried to find prime factorizations or primality for random numbers, and I still do that when I'm trying to remember page numbers I stopped reading on
For example I had 123 chars left, and that's 3*41
For example I had 123 chars left, and that's 3*41
=>
"Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8", MIT Lincoln Lab, arXiv, Sep 28 (26), 2025 www.arxiv.org/abs/2509.23565
Ozaki, Jul 2 bsky.app/profile/ogaw...
Ozaki Scheme II
NVIDIA, ECMWF WS, Sep 16 bsky.app/profile/ogaw...
Jul 1
"Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8", MIT Lincoln Lab, arXiv, Sep 28 (26), 2025 www.arxiv.org/abs/2509.23565
Ozaki, Jul 2 bsky.app/profile/ogaw...
Ozaki Scheme II
NVIDIA, ECMWF WS, Sep 16 bsky.app/profile/ogaw...
Jul 1
September 30, 2025 at 12:50 PM
=>
"Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8", MIT Lincoln Lab, arXiv, Sep 28 (26), 2025 www.arxiv.org/abs/2509.23565
Ozaki, Jul 2 bsky.app/profile/ogaw...
Ozaki Scheme II
NVIDIA, ECMWF WS, Sep 16 bsky.app/profile/ogaw...
Jul 1
"Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8", MIT Lincoln Lab, arXiv, Sep 28 (26), 2025 www.arxiv.org/abs/2509.23565
Ozaki, Jul 2 bsky.app/profile/ogaw...
Ozaki Scheme II
NVIDIA, ECMWF WS, Sep 16 bsky.app/profile/ogaw...
Jul 1
Boan Zhao, Panos Betzios, Paul Luis Roehl: Factorizations of 3d Interval Partition Functions https://arxiv.org/abs/2509.23902 https://arxiv.org/pdf/2509.23902 https://arxiv.org/html/2509.23902
September 30, 2025 at 6:44 AM
Boan Zhao, Panos Betzios, Paul Luis Roehl: Factorizations of 3d Interval Partition Functions https://arxiv.org/abs/2509.23902 https://arxiv.org/pdf/2509.23902 https://arxiv.org/html/2509.23902
Piotr Luszczek, et al.: Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8 https://arxiv.org/abs/2509.23565 https://arxiv.org/pdf/2509.23565 https://arxiv.org/html/2509.23565
September 30, 2025 at 6:39 AM
Piotr Luszczek, et al.: Performance and Numerical Aspects of Decompositional Factorizations with FP64 Floating-Point Emulation in INT8 https://arxiv.org/abs/2509.23565 https://arxiv.org/pdf/2509.23565 https://arxiv.org/html/2509.23565