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| { |
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| "source": "Rouhani 2023" |
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| { |
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| "gf_relation": "orthogonal", |
| "source": "Dettmers 2023 (arXiv:2305.14314)" |
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| { |
| "id": "afp", |
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| "standard": "Tambe 2020", |
| "use_case": "efficient training", |
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| "source": "Tambe 2020 (DAC)" |
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| "use_case": "inference", |
| "gf_relation": "ally", |
| "source": "Posit Standard 2022 (posithub.org)" |
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| { |
| "id": "posit16", |
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| "standard": "Posit Standard 2022 (es=2)", |
| "use_case": "mixed-precision training", |
| "gf_relation": "ally", |
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| { |
| "id": "posit32", |
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| "standard": "Posit Standard 2022 (es=2)", |
| "use_case": "f32 replacement", |
| "gf_relation": "ally", |
| "source": "Posit Standard 2022" |
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| { |
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| "storage": "u64", |
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| "status": "Verified", |
| "standard": "Posit Standard 2022 (es=2)", |
| "use_case": "f64 replacement", |
| "gf_relation": "ally", |
| "source": "Posit Standard 2022" |
| }, |
| { |
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| "storage": "u8", |
| "cluster": "PositUnumIII", |
| "status": "Verified", |
| "standard": "Hunhold 2024 (tapered-precision)", |
| "use_case": "IEEE-754 backward-compatible tapered", |
| "gf_relation": "ally", |
| "source": "Hunhold 2024 (arXiv:2412.20273)" |
| }, |
| { |
| "id": "takum16", |
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| "status": "Verified", |
| "standard": "Hunhold 2024", |
| "use_case": "single-rule ladder counterexample", |
| "gf_relation": "ally", |
| "source": "Hunhold 2024 (arXiv:2412.20273)" |
| }, |
| { |
| "id": "takum32", |
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| "status": "Verified", |
| "standard": "Hunhold 2024", |
| "use_case": "tapered fp32-class", |
| "gf_relation": "ally", |
| "source": "Hunhold 2024" |
| }, |
| { |
| "id": "takum64", |
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| "storage": "u64", |
| "cluster": "PositUnumIII", |
| "status": "Verified", |
| "standard": "Hunhold 2024", |
| "use_case": "tapered fp64-class", |
| "gf_relation": "ally", |
| "source": "Hunhold 2024" |
| }, |
| { |
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| "storage": "u8", |
| "cluster": "Lns", |
| "status": "Verified", |
| "standard": "Arnold 1990; LNS-Madam (2021)", |
| "use_case": "DSP, signal processing", |
| "gf_relation": "orthogonal", |
| "source": "Alam 2021 (arXiv:2106.13914)" |
| }, |
| { |
| "id": "lns16", |
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| "status": "Verified", |
| "standard": "LNS-Madam (2021)", |
| "use_case": "log-domain training (mul -> add)", |
| "gf_relation": "orthogonal", |
| "source": "Alam 2021" |
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| { |
| "id": "lns32", |
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| "status": "Verified", |
| "standard": "LNS-Madam (2021)", |
| "use_case": "log-domain DSP", |
| "gf_relation": "orthogonal", |
| "source": "Alam 2021" |
| }, |
| { |
| "id": "lns64", |
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| "storage": "u64", |
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| "status": "Verified", |
| "standard": "LNS-Madam (2021)", |
| "use_case": "scientific log-domain", |
| "gf_relation": "orthogonal", |
| "source": "Alam 2021" |
| }, |
| { |
| "id": "gfternary", |
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| "status": "Verified", |
| "standard": "this work; {-phi, 0, +phi}", |
| "use_case": "bulk layers (hybrid)", |
| "gf_relation": "self", |
| "source": "BENCH-007" |
| }, |
| { |
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| "storage": "u8", |
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| "standard": "this work; F0 minimal", |
| "use_case": "proof-of-concept", |
| "gf_relation": "self", |
| "source": "specs/numeric/gf4.t27" |
| }, |
| { |
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| "use_case": "edge / sensors", |
| "gf_relation": "self", |
| "source": "BENCH-007 (specs/numeric/gf8.t27)" |
| }, |
| { |
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| "use_case": "mid-range / audio", |
| "gf_relation": "self", |
| "source": "BENCH-007 (specs/numeric/gf12.t27)" |
| }, |
| { |
| "id": "gf16", |
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| "storage": "u16", |
| "cluster": "GoldenFloat", |
| "status": "Verified", |
| "standard": "this work; PHI_BIAS=60; FPGA 35/35 at 323 MHz Artix-7", |
| "use_case": "training and inference (production)", |
| "gf_relation": "self", |
| "source": "specs/numeric/gf16.t27; zenodo 10.5281/zenodo.19227877 (HW archive)" |
| }, |
| { |
| "id": "gf20", |
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| "bias": 63, |
| "phi_distance": 0.035, |
| "storage": "u32", |
| "cluster": "GoldenFloat", |
| "status": "Experimental", |
| "standard": "this work; 17-squared empirical PHI_BIAS=289", |
| "use_case": "high-precision edge", |
| "gf_relation": "self", |
| "source": "specs/numeric/gf20.t27 (spec only)" |
| }, |
| { |
| "id": "gf24", |
| "name": "GF24", |
| "bits": 24, |
| "s_bits": 1, |
| "e_bits": 9, |
| "m_bits": 14, |
| "bias": 255, |
| "phi_distance": 0.025, |
| "storage": "u32", |
| "cluster": "GoldenFloat", |
| "status": "Experimental", |
| "standard": "this work; rule e=round(23/phi^2)=9; normative bias=2^(e-1)-1=255; empirical PHI_BIAS=1364 (=L15) OPEN", |
| "use_case": "server inference", |
| "gf_relation": "self", |
| "source": "specs/numeric/gf24.t27 (spec only)" |
| }, |
| { |
| "id": "gf32", |
| "name": "GF32", |
| "bits": 32, |
| "s_bits": 1, |
| "e_bits": 12, |
| "m_bits": 19, |
| "bias": 2047, |
| "phi_distance": 0.014, |
| "storage": "u32", |
| "cluster": "GoldenFloat", |
| "status": "Verified", |
| "standard": "this work; F0 resolved", |
| "use_case": "fp32 drop-in", |
| "gf_relation": "self", |
| "source": "BENCH-012 (specs/numeric/gf32.t27)" |
| }, |
| { |
| "id": "gf64", |
| "name": "GF64", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 24, |
| "m_bits": 39, |
| "bias": 8388607, |
| "phi_distance": 0.003, |
| "storage": "u64", |
| "cluster": "GoldenFloat", |
| "status": "Verified", |
| "standard": "this work; EXP_MAX - BIAS", |
| "use_case": "scientific / double", |
| "gf_relation": "self", |
| "source": "BENCH-007b (specs/numeric/gf64.t27)" |
| }, |
| { |
| "id": "gf6", |
| "name": "GF6 (rule-derived)", |
| "bits": 6, |
| "s_bits": 1, |
| "e_bits": 2, |
| "m_bits": 3, |
| "bias": 1, |
| "phi_distance": 0.049, |
| "storage": "u8_packed", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(5/phi^2)=2; FP6 E2M3 bridge", |
| "use_case": "OPEN R&D: bridge GF4-GF8; FP6 E2M3 hint", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf6.t27" |
| }, |
| { |
| "id": "gf10", |
| "name": "GF10 (rule-derived)", |
| "bits": 10, |
| "s_bits": 1, |
| "e_bits": 3, |
| "m_bits": 6, |
| "bias": 3, |
| "phi_distance": 0.118, |
| "storage": "u16", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(9/phi^2)=3; bridge GF8-GF12", |
| "use_case": "OPEN R&D: tight-precision activations", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf10.t27" |
| }, |
| { |
| "id": "gf14", |
| "name": "GF14 (rule-derived)", |
| "bits": 14, |
| "s_bits": 1, |
| "e_bits": 5, |
| "m_bits": 8, |
| "bias": 15, |
| "phi_distance": 0.007, |
| "storage": "u16", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(13/phi^2)=5; bridge GF12-GF16; lowest phi-dist below GF48", |
| "use_case": "OPEN R&D: drop-in for fp16 with tighter phi alignment", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf14.t27" |
| }, |
| { |
| "id": "gf48", |
| "name": "GF48 (rule-derived)", |
| "bits": 48, |
| "s_bits": 1, |
| "e_bits": 18, |
| "m_bits": 29, |
| "bias": 131071, |
| "phi_distance": 0.003, |
| "storage": "u64_padded", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(47/phi^2)=18", |
| "use_case": "OPEN R&D: between GF32 and GF64; tightest phi-dist of the wide rungs", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf48.t27" |
| }, |
| { |
| "id": "gf96", |
| "name": "GF96 (rule-derived)", |
| "bits": 96, |
| "s_bits": 1, |
| "e_bits": 36, |
| "m_bits": 59, |
| "bias": 34359738367, |
| "phi_distance": 0.008, |
| "storage": "u128_padded", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(95/phi^2)=36", |
| "use_case": "OPEN R&D: between GF64 and GF128 (phi-aligned extended)", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf96.t27" |
| }, |
| { |
| "id": "gf128", |
| "name": "GF128 (rule-derived)", |
| "bits": 128, |
| "s_bits": 1, |
| "e_bits": 49, |
| "m_bits": 78, |
| "bias": 281474976710655, |
| "phi_distance": 0.01, |
| "storage": "u128", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(127/phi^2)=49 (corrects v1.1 typo e=48)", |
| "use_case": "OPEN R&D: phi-aligned binary128 alternative", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf128.t27" |
| }, |
| { |
| "id": "gf256", |
| "name": "GF256 (rule-derived)", |
| "bits": 256, |
| "s_bits": 1, |
| "e_bits": 97, |
| "m_bits": 158, |
| "bias": 79228162514264337593543950335, |
| "phi_distance": 0.004, |
| "storage": "u256_software", |
| "cluster": "GoldenFloat", |
| "status": "Open", |
| "standard": "this work; rule e=round(255/phi^2)=97; normative bias=2^96-1", |
| "use_case": "OPEN R&D: phi-aligned binary256 alternative", |
| "gf_relation": "experimental", |
| "source": "specs/numeric/gf256.t27" |
| }, |
| { |
| "id": "gf8_bfp", |
| "name": "GF8-BFP (block FP atop GF8)", |
| "bits": 8, |
| "s_bits": 1, |
| "e_bits": 3, |
| "m_bits": 4, |
| "bias": 3, |
| "phi_distance": 0.132, |
| "storage": "u8_plus_shared_exp", |
| "cluster": "GoldenFloat", |
| "status": "Experimental", |
| "standard": "this work; per-tile shared exponent", |
| "use_case": "OPEN R&D: LLM-quantization-friendly GF8", |
| "gf_relation": "experimental", |
| "source": "section12.5" |
| }, |
| { |
| "id": "gf_lns_hybrid", |
| "name": "GF + LNS hybrid (dual-space)", |
| "bits": 16, |
| "s_bits": 1, |
| "e_bits": 6, |
| "m_bits": 9, |
| "bias": 31, |
| "phi_distance": 0.049, |
| "storage": "u16_plus_lns_path", |
| "cluster": "GoldenFloat", |
| "status": "Experimental", |
| "standard": "this work; mul in log-space, accumulate Lucas-closed", |
| "use_case": "OPEN R&D: dual-space arithmetic", |
| "gf_relation": "experimental", |
| "source": "section12.5" |
| }, |
| { |
| "id": "mxgf6", |
| "name": "MXGF6 (microscaling GF6)", |
| "bits": 6, |
| "s_bits": 1, |
| "e_bits": 2, |
| "m_bits": 3, |
| "bias": 1, |
| "phi_distance": 0.05, |
| "storage": "u8_packed_plus_e8m0", |
| "cluster": "GoldenFloat", |
| "status": "Experimental", |
| "standard": "this work; OCP MX block + GF6", |
| "use_case": "OPEN R&D: phi-aligned MX-6 candidate", |
| "gf_relation": "experimental", |
| "source": "section12.5" |
| }, |
| { |
| "id": "mxgf4", |
| "name": "MXGF4 (microscaling GF4)", |
| "bits": 4, |
| "s_bits": 1, |
| "e_bits": 1, |
| "m_bits": 2, |
| "bias": 0, |
| "phi_distance": 0.118, |
| "storage": "u8_packed_plus_e8m0", |
| "cluster": "GoldenFloat", |
| "status": "Experimental", |
| "standard": "this work; OCP MX block + GF4", |
| "use_case": "OPEN R&D: phi-aligned MX-4 candidate", |
| "gf_relation": "experimental", |
| "source": "section12.5" |
| }, |
| { |
| "id": "int4", |
| "name": "INT4 / UINT4", |
| "bits": 4, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 3, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u8_packed", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "two complement", |
| "use_case": "aggressive quantization", |
| "gf_relation": "competitor", |
| "source": "ISO/IEC 9899" |
| }, |
| { |
| "id": "int8", |
| "name": "INT8 / UINT8", |
| "bits": 8, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 7, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u8", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "two complement", |
| "use_case": "INT8 inference, per-channel scale", |
| "gf_relation": "competitor", |
| "source": "ISO/IEC 9899" |
| }, |
| { |
| "id": "int16", |
| "name": "INT16 / UINT16", |
| "bits": 16, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 15, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u16", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "two complement", |
| "use_case": "DSP, embedded ML", |
| "gf_relation": "competitor", |
| "source": "ISO/IEC 9899" |
| }, |
| { |
| "id": "int32", |
| "name": "INT32 / UINT32", |
| "bits": 32, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 31, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u32", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "two complement", |
| "use_case": "general CPU integer", |
| "gf_relation": "competitor", |
| "source": "ISO/IEC 9899" |
| }, |
| { |
| "id": "int64", |
| "name": "INT64 / UINT64", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 63, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u64", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "two complement", |
| "use_case": "databases, timestamps", |
| "gf_relation": "competitor", |
| "source": "ISO/IEC 9899" |
| }, |
| { |
| "id": "int128", |
| "name": "INT128 / UINT128", |
| "bits": 128, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 127, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u128", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "two complement", |
| "use_case": "crypto, big-int", |
| "gf_relation": "competitor", |
| "source": "Rust/Clang u128" |
| }, |
| { |
| "id": "q_format", |
| "name": "Q-format (Qm.n)", |
| "bits": 0, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "IntegerFixed", |
| "status": "Verified", |
| "standard": "TI fixed-point", |
| "use_case": "audio DSP, fixed-point ML", |
| "gf_relation": "orthogonal", |
| "source": "TI SPRA704" |
| }, |
| { |
| "id": "bcd", |
| "name": "BCD (binary-coded decimal)", |
| "bits": 0, |
| "s_bits": 0, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u4_per_digit", |
| "cluster": "IntegerFixed", |
| "status": "Historical", |
| "standard": "IBM 1959", |
| "use_case": "calculators, GAAP", |
| "gf_relation": "orthogonal", |
| "source": "ISO/IEC 8859" |
| }, |
| { |
| "id": "ibm_hfp32", |
| "name": "IBM HFP (single)", |
| "bits": 32, |
| "s_bits": 1, |
| "e_bits": 7, |
| "m_bits": 24, |
| "bias": 64, |
| "phi_distance": -1.0, |
| "storage": "u32", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "IBM System/360 (1964); base-16 exponent", |
| "use_case": "legacy mainframe", |
| "gf_relation": "orthogonal", |
| "source": "IBM POO" |
| }, |
| { |
| "id": "ibm_hfp64", |
| "name": "IBM HFP (double)", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 7, |
| "m_bits": 56, |
| "bias": 64, |
| "phi_distance": -1.0, |
| "storage": "u64", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "IBM System/360 (1964)", |
| "use_case": "legacy mainframe", |
| "gf_relation": "orthogonal", |
| "source": "IBM POO" |
| }, |
| { |
| "id": "ibm_hfp128", |
| "name": "IBM HFP (extended)", |
| "bits": 128, |
| "s_bits": 1, |
| "e_bits": 7, |
| "m_bits": 120, |
| "bias": 64, |
| "phi_distance": -1.0, |
| "storage": "u128", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "IBM z/Architecture", |
| "use_case": "legacy mainframe", |
| "gf_relation": "orthogonal", |
| "source": "IBM POO" |
| }, |
| { |
| "id": "ms_mbf32", |
| "name": "Microsoft MBF (single)", |
| "bits": 32, |
| "s_bits": 1, |
| "e_bits": 8, |
| "m_bits": 23, |
| "bias": 129, |
| "phi_distance": -1.0, |
| "storage": "u32", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "MS BASIC / MS-DOS (pre-IEEE)", |
| "use_case": "MS BASIC legacy", |
| "gf_relation": "orthogonal", |
| "source": "MS-DOS docs" |
| }, |
| { |
| "id": "ms_mbf64", |
| "name": "Microsoft MBF (double)", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 8, |
| "m_bits": 55, |
| "bias": 129, |
| "phi_distance": -1.0, |
| "storage": "u64", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "MS BASIC", |
| "use_case": "MS BASIC legacy", |
| "gf_relation": "orthogonal", |
| "source": "MS-DOS docs" |
| }, |
| { |
| "id": "vax_f", |
| "name": "VAX F-float", |
| "bits": 32, |
| "s_bits": 1, |
| "e_bits": 8, |
| "m_bits": 23, |
| "bias": 128, |
| "phi_distance": -1.0, |
| "storage": "u32", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "DEC VAX", |
| "use_case": "DEC legacy", |
| "gf_relation": "orthogonal", |
| "source": "VAX Architecture Reference" |
| }, |
| { |
| "id": "vax_d", |
| "name": "VAX D-float", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 8, |
| "m_bits": 55, |
| "bias": 128, |
| "phi_distance": -1.0, |
| "storage": "u64", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "DEC VAX", |
| "use_case": "DEC legacy double", |
| "gf_relation": "orthogonal", |
| "source": "VAX Architecture Reference" |
| }, |
| { |
| "id": "vax_g", |
| "name": "VAX G-float", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 11, |
| "m_bits": 52, |
| "bias": 1024, |
| "phi_distance": -1.0, |
| "storage": "u64", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "DEC VAX (IEEE-like)", |
| "use_case": "DEC legacy", |
| "gf_relation": "orthogonal", |
| "source": "VAX Architecture Reference" |
| }, |
| { |
| "id": "vax_h", |
| "name": "VAX H-float", |
| "bits": 128, |
| "s_bits": 1, |
| "e_bits": 15, |
| "m_bits": 112, |
| "bias": 16384, |
| "phi_distance": -1.0, |
| "storage": "u128", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "DEC VAX", |
| "use_case": "DEC quad", |
| "gf_relation": "orthogonal", |
| "source": "VAX Architecture Reference" |
| }, |
| { |
| "id": "cray_float", |
| "name": "Cray float", |
| "bits": 64, |
| "s_bits": 1, |
| "e_bits": 15, |
| "m_bits": 48, |
| "bias": 16384, |
| "phi_distance": -1.0, |
| "storage": "u64", |
| "cluster": "HistoricalVendor", |
| "status": "Historical", |
| "standard": "Cray-1 (1976); no NaN/Inf, unrounded mul", |
| "use_case": "Cray legacy", |
| "gf_relation": "orthogonal", |
| "source": "Cray-1 Hardware Reference" |
| }, |
| { |
| "id": "minifloat", |
| "name": "minifloat (arbitrary E:M, <=16 bits)", |
| "bits": 0, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "Theoretical", |
| "status": "Experimental", |
| "standard": "parametric framework", |
| "use_case": "design space of GF4/GF8/GF12/GF16", |
| "gf_relation": "ally", |
| "source": "Higham 1996" |
| }, |
| { |
| "id": "unum_i", |
| "name": "Unum I (tapered + ubound)", |
| "bits": 0, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "Theoretical", |
| "status": "Experimental", |
| "standard": "Gustafson 2015 (predecessor to posit)", |
| "use_case": "interval arithmetic", |
| "gf_relation": "ally", |
| "source": "Gustafson 2015 (The End of Error)" |
| }, |
| { |
| "id": "unum_ii", |
| "name": "Unum II (SORN projective)", |
| "bits": 0, |
| "s_bits": 0, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "lookup_table", |
| "cluster": "Theoretical", |
| "status": "Experimental", |
| "standard": "Gustafson 2016", |
| "use_case": "lookup-table real arithmetic; not GF-comparable", |
| "gf_relation": "orthogonal", |
| "source": "Gustafson 2016" |
| }, |
| { |
| "id": "tapered_fp", |
| "name": "tapered floating point", |
| "bits": 0, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "Theoretical", |
| "status": "Experimental", |
| "standard": "Morris 1971; posit ancestor", |
| "use_case": "variable mantissa via regime bits", |
| "gf_relation": "ally", |
| "source": "Morris 1971 (IEEE TC)" |
| }, |
| { |
| "id": "block_fp", |
| "name": "block floating point (BFP)", |
| "bits": 0, |
| "s_bits": 0, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "CompressionTrick", |
| "status": "Verified", |
| "standard": "Wilkinson 1965; modern revivals", |
| "use_case": "per-tile shared exponent", |
| "gf_relation": "ally", |
| "source": "Darvish-Rouhani 2020" |
| }, |
| { |
| "id": "shared_exp", |
| "name": "shared-exponent formats", |
| "bits": 0, |
| "s_bits": 0, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "CompressionTrick", |
| "status": "Verified", |
| "standard": "generalised BFP", |
| "use_case": "LLM quantization", |
| "gf_relation": "ally", |
| "source": "Darvish-Rouhani 2020" |
| }, |
| { |
| "id": "per_channel_scale", |
| "name": "INT8 with per-channel scale", |
| "bits": 8, |
| "s_bits": 1, |
| "e_bits": 0, |
| "m_bits": 7, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "u8_plus_fp32_scale", |
| "cluster": "CompressionTrick", |
| "status": "Verified", |
| "standard": "Jacob 2018 (TFLite)", |
| "use_case": "standard quant inference", |
| "gf_relation": "competitor", |
| "source": "Jacob 2018 (CVPR)" |
| }, |
| { |
| "id": "stochastic_rounding", |
| "name": "stochastic rounding (technique)", |
| "bits": 0, |
| "s_bits": 0, |
| "e_bits": 0, |
| "m_bits": 0, |
| "bias": 0, |
| "phi_distance": -1.0, |
| "storage": "varies", |
| "cluster": "CompressionTrick", |
| "status": "Verified", |
| "standard": "Gupta 2015", |
| "use_case": "training small networks at low precision", |
| "gf_relation": "ally", |
| "source": "Gupta 2015 (ICML)" |
| } |
| ] |
| } |
|
|
