File size: 5,731 Bytes
5cb4913
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
import torch
import torch.nn as nn
from torch.utils.checkpoint import checkpoint

from Utils import return_edges, build_adj

H36M17_EDGES = return_edges()

# State Embedding
class StateEmbedding(nn.Module):
    """

    Input:

        x: (B, T, J, 12)

           = [p(3), v(3), a(3), j(3)]

    Output:

        h: (B, T, J, D)

    """
    def __init__(self, d_model: int, d_state: int = 64, dropout: float = 0.0):
        super().__init__()
        self.p = nn.Linear(3, d_state)
        self.v = nn.Linear(3, d_state)
        self.a = nn.Linear(3, d_state)
        self.j = nn.Linear(3, d_state)

        self.proj = nn.Linear(4 * d_state, d_model)
        self.ln = nn.LayerNorm(d_model)
        self.drop = nn.Dropout(dropout)

        # learnable scaling for each physical component
        self.scale = nn.Parameter(torch.ones(4))

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        if x.ndim != 4 or x.shape[-1] != 12:
            raise ValueError(f"Expected input shape (B,T,J,12), got {tuple(x.shape)}")

        p, v, a, j = torch.split(x, 3, dim=-1)

        ep = self.p(p) * self.scale[0]
        ev = self.v(v) * self.scale[1]
        ea = self.a(a) * self.scale[2]
        ej = self.j(j) * self.scale[3]

        h = torch.cat([ep, ev, ea, ej], dim=-1)
        h = self.proj(h)
        h = self.ln(h)
        h = self.drop(h)
        return h  # (B, T, J, D)

# Simple Graph Mixing (stable spatial mixing)
class GraphMix(nn.Module):
    def __init__(self, J: int, d_model: int, edges):
        super().__init__()
        A = build_adj(J, edges)  # (J, J)
        A = A / (A.sum(dim=-1, keepdim=True) + 1e-8)

        self.register_buffer("A", A)
        self.fc = nn.Linear(d_model, d_model)
        self.ln = nn.LayerNorm(d_model)

    def forward(self, h: torch.Tensor) -> torch.Tensor:
        """

        h: (B, T, J, D)

        """
        msg = torch.einsum("ij,btjd->btid", self.A, h)
        out = self.fc(msg)
        return self.ln(h + out)


# Temporal Block (depthwise conv + pointwise conv + FFN)
class TemporalBlock(nn.Module):
    def __init__(

        self,

        d_model: int,

        kernel: int = 5,

        mlp_ratio: int = 2,

        dropout: float = 0.0,

    ):
        super().__init__()

        self.dw = nn.Conv1d(
            in_channels=d_model,
            out_channels=d_model,
            kernel_size=kernel,
            padding=kernel // 2,
            groups=d_model
        )
        self.pw = nn.Conv1d(
            in_channels=d_model,
            out_channels=d_model,
            kernel_size=1
        )
        self.ln1 = nn.LayerNorm(d_model)

        hidden = d_model * mlp_ratio
        self.ffn = nn.Sequential(
            nn.Linear(d_model, hidden),
            nn.GELU(),
            nn.Dropout(dropout),
            nn.Linear(hidden, d_model),
            nn.Dropout(dropout),
        )
        self.ln2 = nn.LayerNorm(d_model)

    def forward(self, h: torch.Tensor) -> torch.Tensor:
        """

            h: (B, T, J, D)

        """
        B, T, J, D = h.shape

        # temporal conv for each joint independently
        x = h.permute(0, 2, 3, 1).contiguous().view(B * J, D, T)
        x = self.pw(self.dw(x))
        x = x.view(B, J, D, T).permute(0, 3, 1, 2).contiguous()

        h = self.ln1(h + x)

        h2 = self.ffn(h)
        h = self.ln2(h + h2)
        return h

# Encoder Body
class EncoderBody(nn.Module):
    """

        Backbone body for Step 1 pretraining.
        The same body can be reused in Step 2 JEPA.


        Input:

            x: (B, T, J, 12)



        Output:

            h: (B, T, J, D)

    """
    def __init__(

        self,

        J: int = 17,

        d_model: int = 256,

        depth: int = 6,

        edges=H36M17_EDGES,

        d_state: int = 64,

        temporal_kernel: int = 5,

        mlp_ratio: int = 2,

        dropout: float = 0.0,

        use_checkpoint: bool = True,

    ):
        super().__init__()

        self.J = J
        self.d_model = d_model
        self.depth = depth
        self.use_checkpoint = use_checkpoint

        self.embed = StateEmbedding(
            d_model=d_model,
            d_state=d_state,
            dropout=dropout
        )

        self.spatial = nn.ModuleList([
            GraphMix(J=J, d_model=d_model, edges=edges)
            for _ in range(depth)
        ])

        self.temporal = nn.ModuleList([
            TemporalBlock(
                d_model=d_model,
                kernel=temporal_kernel,
                mlp_ratio=mlp_ratio,
                dropout=dropout
            )
            for _ in range(depth)
        ])

        self.final_ln = nn.LayerNorm(d_model)

    def _run_block(self, module: nn.Module, x: torch.Tensor) -> torch.Tensor:
        if self.use_checkpoint and self.training:
            return checkpoint(module, x, use_reentrant=False)
        return module(x)

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        """

            x: (B, T, J, 12)

            return:

                h: (B, T, J, D)

        """
        if x.ndim != 4:
            raise ValueError(f"Expected x.ndim == 4, got {x.ndim}")

        B, T, J, C = x.shape
        if J != self.J:
            raise ValueError(f"Expected J={self.J}, got {J}")
        if C != 12:
            raise ValueError(f"Expected C=12, got {C}")

        h = self.embed(x)

        for s_block, t_block in zip(self.spatial, self.temporal):
            h = self._run_block(s_block, h)
            h = self._run_block(t_block, h)

        h = self.final_ln(h)
        return h