Symmetry in Neural Network Parameter Spaces
Bo Zhao, Robin Walters, Rose Yu
Action editor: Jeffrey Pennington
https://openreview.net/forum?id=jLpWq5QY6I
#symmetry #symmetries #deep
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#Symmetries
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#SpringSpotlights ☀️ Shining a light on some incredible concerts coming up in our spring season! Symmetries in Sound is a celebration of musical games & mirrors. Expect pieces performed forwards/backwards & reading sheet music upside-down! #ThisIsChamberMusic #Symmetries #Mirrors
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The catalog photo of Fundamentals of Lace, a knitted wall hanging. The piece is a rectangle of blue knitted lace lashed to wooden dowels at the top and bottom. The fabric has white, yellow, and red beads knitted into the lace. The rectangle is divided into a 3 x 3 grid of different lace designs, and each section has its own pattern of colored beads that mark the symmetries of the design. The white beads, which are always in vertical or horizontal lines, mark the axes of reflection (mirror) symmetries. The yellow beads (also in vertical or horizontal lines) mark the axes of glide reflection symmetries. The red beads, which are slightly larger and more spaced out, mark centers of rotational symmetry.
Fundamentals of Lace after blocking and before attaching to dowels, lying flat on a wooden deck. Each of the nine lace designs is made up from smaller lace motifs arranged in four rows and six columns. Disregarding any beads, the motif in the upper left corner of each design is identical, a rectangle with eyelets along one diagonal and half of the other diagonal forming a lowercase lambda. The part of the motif under the lambda is an eyelet mesh, while the regions above and to the left are solid stockinette. The rest of each design consists of the same motif in various orientations, some like the original, some flipped vertically, some flipped horizontally, and some rotated by 180°. Mathematically, the motif is a “fundamental region” for the design; hence, the title of the work.
Fundamentals of Lace, pre-blocking. The lace is rumpled and uneven, and the lines of beads are much wobblier than in the finished work. Algebraically, we can prove that there are exactly nine possible symmetry structures for a design in a non-square rectangular grid repeating in two directions. The structures are expressed by the beaded markings: for instance, the middle panel gives an example of a design with no 180° rotational symmetries that has both reflections and glide reflections, and any repeating design that has evenly spaced, parallel symmetry axes that alternate between reflections and glide reflections and nothing else except translations (just sliding the design without twisting or flipping) has the same abstract symmetry structure.
#ShowMeYourKnits #knitterschoice
Fundamentals of Lace, 2025: the newest #mathart I’m exhibiting at the Joint Math Meetings next week. Details (like the allusion in the name) are through the link and in the alt text.
🧶 #knitsky #mathknitting #symmetries
gallery.bridgesmathart.org/exhibitions/...
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A closeup of a blue knitted lace artwork with embedded glass beads. The section shown is divided into four rectangles of lace by strips of garter stitch, and each rectangle has its own repeating lace design. The beads form white lines, yellow lines, and red dots in various configurations. If you’re curious about the underlying math and don’t want to wait until I post the finished artwork, look up my Fundamental Frieze Scroll artworks, which were the precursors to this piece.
#ShowMeYourKnits
My current #WIP is a #mathart exhibition piece that I’m still keeping mostly under wraps, but here’s a sneak peek. The knitting is nearly complete; the blocking and mounting will take a few days on their own.
🧶 #knitsky #mathknit #mathknitting #symmetries
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As Halloween comes, all matter and reality may be explained by ghosts: #ghost #particles, or #neutrinos [via TheDebrief] 🧪🥼⚛️🌌
"elusive particles might #violate one of nature’s fundamental #symmetries, [to] explain the imbalance between #matter and #antimatter"
thedebrief.org/historic-col...
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New #J2C Certification:
Equivariant Symmetry Breaking Sets
YuQing Xie, Tess Smidt
https://openreview.net/forum?id=tHKH4DNSR5
#symmetry #symmetries #symmetric
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#photography #art #visualart #fotografia #arte #fotografie #color #photography #ficciones #artbasel #artcollector #artwork #ArteContemporanea #city #cityscape #urbanismo #architecture #urbanism #arquitectura #simetrias #Symmetrien #symmetries
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#photography #art #visualart #fotografia #arte #fotografie #color #photography #ficciones #artbasel #artcollector #artwork #ArteContemporanea #city #cityscape #urbanismo #architecture #urbanism #arquitectura #simetrias #Symmetrien #symmetries
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🧩 Groups play a central role for understanding symmetries in nature. Learn more in the STRUCTURES Blog post by Valdo Tatitscheff: structures.uni-heidelberg.de/blog/posts/2...
#math #mathematics #groups #science #symmetries #physics #structures #structuresheidelberg
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CFASL: Composite Factor-Aligned Symmetry Learning for Disentanglement in Variational AutoEncoder
New #TMLR-Paper-with-Video:
CFASL: Composite Factor-Aligned Symmetry Learning for Disentanglement in Variational AutoEncoder
Hee-Jun Jung, Jaehyoung Jeong, Kangil Kim
https://tmlr.infinite-conf.org/paper_pages/mDGvrH7lju
#symmetries #symmetry #autoencoder
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Lie Symmetry Net: Preserving Conservation Laws in Modelling Financial Market Dynamics via Differ...
Xuelian Jiang, Tongtian Zhu, Yingxiang Xu, Can Wang, Yeyu Zhang, Fengxiang He
Action editor: Bamdev Mishra
https://openreview.net/forum?id=rkfop9GyxB
#symmetries #symmetry #scholes
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Our newest Blog Post "From Symmetries to Conservation Laws: A Journey with Noether's Theorem" by Valdo Tatitscheff covers an exciting and fundamental topic. We wish you a pleasant read!
structures.uni-heidelberg.de/blog/posts/2...
#Noether #Physics #Symmetries #ConservationLaw
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Wonderful world?
#wonderfulworld #mundomaravilloso #mundo #world #zaragoza #skyline #lineadelcielo #farolas #streetlamps #simetria #simetrias #symmetry #symmetries #samcooke
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Symmetry, the beauty, of the Universe uncovered by Emmy Noether [via Quanta Magazine] 🧪⚗️➕✖️⭐
"[She] discovered that #conservation laws aren’t fundamental axioms of the #universe... they emerge from deeper #symmetries."
www.quantamagazine.org/how-noethers...
#physics #laws #energy #space #time
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CFASL: Composite Factor-Aligned Symmetry Learning for Disentanglement in Variational AutoEncoder
Hee-Jun Jung, Jaehyoung Jeong, Kangil Kim
Action editor: Bo Dai
https://openreview.net/forum?id=mDGvrH7lju
#symmetries #symmetry #autoencoder
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Equivariant Symmetry Breaking Sets
YuQing Xie, Tess Smidt
Action editor: William Redman
https://openreview.net/forum?id=tHKH4DNSR5
#symmetry #symmetries #symmetric
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Coordinate Transform Fourier Neural Operators for Symmetries in Physical Modelings
Wenhan Gao, Ruichen Xu, Hong Wang, Yi Liu
Action editor: Jeffrey Pennington
https://openreview.net/forum?id=pMD7A77k3i
#symmetries #transforms #modelings
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Decomposition of Equivariant Maps via Invariant Maps: Application to Universal Approximation unde...
Akiyoshi Sannai, Yuuki Takai, Matthieu Cordonnier
Action editor: Alberto Bietti
https://openreview.net/forum?id=ycOLyHh1Ue
#symmetries #invariant #equivariant
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